Analysis of xx-ph-00011210-lot1-base.sdk
Contents
Original Sudoku
level: very deep
position: ........1.....2..3..4.5..6........7...73.4...56..7.......8..9....5.4..3..86.3..4. initial
Autosolve
position: ........1.....2..3..4.5..6........7...73.4...56..7...4...8..9....5.4..3..86.3..4. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:59.480501
List of important HDP chains detected for C6,G6: 3..:
* DIS # C6: 3 # E7: 1,2 # D2: 1,9 => CTR => D2: 4,6,7 * DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 # F3: 1,9 => CTR => F3: 3,8 * DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 # A3: 1,9 => CTR => A3: 2,3,8 * DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3,8 # B3: 1,9 => CTR => B3: 2,3 * PRF # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3,8 + B3: 2,3 # G5: 2,8 => SOL * STA # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3,8 + B3: 2,3 + G5: 2,8 * CNT 5 HDP CHAINS / 78 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.....2..3..4.5..6........7...73.4...56..7.......8..9....5.4..3..86.3..4. | initial |
| ........1.....2..3..4.5..6........7...73.4...56..7...4...8..9....5.4..3..86.3..4. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F1,F3: 3.. / F1 = 3 => 0 pairs (_) / F3 = 3 => 0 pairs (_) G4,G6: 3.. / G4 = 3 => 3 pairs (_) / G6 = 3 => 0 pairs (_) C6,G6: 3.. / C6 = 3 => 3 pairs (_) / G6 = 3 => 0 pairs (_) D1,D2: 4.. / D1 = 4 => 0 pairs (_) / D2 = 4 => 0 pairs (_) G1,G2: 4.. / G1 = 4 => 0 pairs (_) / G2 = 4 => 0 pairs (_) A4,B4: 4.. / A4 = 4 => 0 pairs (_) / B4 = 4 => 0 pairs (_) A7,B7: 4.. / A7 = 4 => 0 pairs (_) / B7 = 4 => 0 pairs (_) D1,G1: 4.. / D1 = 4 => 0 pairs (_) / G1 = 4 => 0 pairs (_) D2,G2: 4.. / D2 = 4 => 0 pairs (_) / G2 = 4 => 0 pairs (_) A4,A7: 4.. / A4 = 4 => 0 pairs (_) / A7 = 4 => 0 pairs (_) B4,B7: 4.. / B4 = 4 => 0 pairs (_) / B7 = 4 => 0 pairs (_) B1,B2: 5.. / B1 = 5 => 0 pairs (_) / B2 = 5 => 1 pairs (_) D4,F4: 5.. / D4 = 5 => 0 pairs (_) / F4 = 5 => 1 pairs (_) D4,D9: 5.. / D4 = 5 => 0 pairs (_) / D9 = 5 => 1 pairs (_) A1,A2: 6.. / A1 = 6 => 1 pairs (_) / A2 = 6 => 0 pairs (_) G8,I8: 8.. / G8 = 8 => 1 pairs (_) / I8 = 8 => 0 pairs (_) * DURATION: 0:00:10.072794 START: 14:29:34.779682 END: 14:29:44.852476 2020-12-01 * CP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C6,G6: 3.. / C6 = 3 ==> 3 pairs (_) / G6 = 3 ==> 0 pairs (_) G4,G6: 3.. / G4 = 3 ==> 3 pairs (_) / G6 = 3 ==> 0 pairs (_) G8,I8: 8.. / G8 = 8 ==> 1 pairs (_) / I8 = 8 ==> 0 pairs (_) A1,A2: 6.. / A1 = 6 ==> 1 pairs (_) / A2 = 6 ==> 0 pairs (_) D4,D9: 5.. / D4 = 5 ==> 0 pairs (_) / D9 = 5 ==> 1 pairs (_) D4,F4: 5.. / D4 = 5 ==> 0 pairs (_) / F4 = 5 ==> 1 pairs (_) B1,B2: 5.. / B1 = 5 ==> 0 pairs (_) / B2 = 5 ==> 1 pairs (_) B4,B7: 4.. / B4 = 4 ==> 0 pairs (_) / B7 = 4 ==> 0 pairs (_) A4,A7: 4.. / A4 = 4 ==> 0 pairs (_) / A7 = 4 ==> 0 pairs (_) D2,G2: 4.. / D2 = 4 ==> 0 pairs (_) / G2 = 4 ==> 0 pairs (_) D1,G1: 4.. / D1 = 4 ==> 0 pairs (_) / G1 = 4 ==> 0 pairs (_) A7,B7: 4.. / A7 = 4 ==> 0 pairs (_) / B7 = 4 ==> 0 pairs (_) A4,B4: 4.. / A4 = 4 ==> 0 pairs (_) / B4 = 4 ==> 0 pairs (_) G1,G2: 4.. / G1 = 4 ==> 0 pairs (_) / G2 = 4 ==> 0 pairs (_) D1,D2: 4.. / D1 = 4 ==> 0 pairs (_) / D2 = 4 ==> 0 pairs (_) F1,F3: 3.. / F1 = 3 ==> 0 pairs (_) / F3 = 3 ==> 0 pairs (_) * DURATION: 0:00:44.160077 START: 14:29:44.853051 END: 14:30:29.013128 2020-12-01 * DCP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) C6,G6: 3.. / C6 = 3 ==> 0 pairs (*) / G6 = 3 => 0 pairs (X) * DURATION: 0:00:59.479369 START: 14:30:29.202393 END: 14:31:28.681762 2020-12-01 * REASONING C6,G6: 3.. * DIS # C6: 3 # E7: 1,2 # D2: 1,9 => CTR => D2: 4,6,7 * DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 # F3: 1,9 => CTR => F3: 3,8 * DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 # A3: 1,9 => CTR => A3: 2,3,8 * DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3,8 # B3: 1,9 => CTR => B3: 2,3 * PRF # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3,8 + B3: 2,3 # G5: 2,8 => SOL * STA # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3,8 + B3: 2,3 + G5: 2,8 * CNT 5 HDP CHAINS / 78 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
11210;lot1;dob;22;11.30;2.60;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C6,G6: 3..:
* INC # C6: 3 # A8: 1,2 => UNS * INC # C6: 3 # B8: 1,2 => UNS * INC # C6: 3 # A9: 1,2 => UNS * INC # C6: 3 # E7: 1,2 => UNS * INC # C6: 3 # H7: 1,2 => UNS * INC # C6: 3 # C4: 1,2 => UNS * INC # C6: 3 # C4: 8,9 => UNS * INC # C6: 3 => UNS * INC # G6: 3 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for G4,G6: 3..:
* INC # G4: 3 # A8: 1,2 => UNS * INC # G4: 3 # B8: 1,2 => UNS * INC # G4: 3 # A9: 1,2 => UNS * INC # G4: 3 # E7: 1,2 => UNS * INC # G4: 3 # H7: 1,2 => UNS * INC # G4: 3 # C4: 1,2 => UNS * INC # G4: 3 # C4: 8,9 => UNS * INC # G4: 3 => UNS * INC # G6: 3 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for G8,I8: 8..:
* INC # G8: 8 # G1: 2,7 => UNS * INC # G8: 8 # I3: 2,7 => UNS * INC # G8: 8 # A3: 2,7 => UNS * INC # G8: 8 # B3: 2,7 => UNS * INC # G8: 8 # G9: 2,7 => UNS * INC # G8: 8 # G9: 1,5 => UNS * INC # G8: 8 => UNS * INC # I8: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for A1,A2: 6..:
* INC # A1: 6 # F1: 8,9 => UNS * INC # A1: 6 # E2: 8,9 => UNS * INC # A1: 6 # F3: 8,9 => UNS * INC # A1: 6 # C1: 8,9 => UNS * INC # A1: 6 # H1: 8,9 => UNS * INC # A1: 6 # E4: 8,9 => UNS * INC # A1: 6 # E5: 8,9 => UNS * INC # A1: 6 => UNS * INC # A2: 6 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for D4,D9: 5..:
* INC # D9: 5 # I7: 2,7 => UNS * INC # D9: 5 # G8: 2,7 => UNS * INC # D9: 5 # I8: 2,7 => UNS * INC # D9: 5 # G9: 2,7 => UNS * INC # D9: 5 # A9: 2,7 => UNS * INC # D9: 5 # A9: 1,9 => UNS * INC # D9: 5 # I3: 2,7 => UNS * INC # D9: 5 # I3: 8,9 => UNS * INC # D9: 5 => UNS * INC # D4: 5 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for D4,F4: 5..:
* INC # F4: 5 # I7: 2,7 => UNS * INC # F4: 5 # G8: 2,7 => UNS * INC # F4: 5 # I8: 2,7 => UNS * INC # F4: 5 # G9: 2,7 => UNS * INC # F4: 5 # A9: 2,7 => UNS * INC # F4: 5 # A9: 1,9 => UNS * INC # F4: 5 # I3: 2,7 => UNS * INC # F4: 5 # I3: 8,9 => UNS * INC # F4: 5 => UNS * INC # D4: 5 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for B1,B2: 5..:
* INC # B2: 5 # H1: 8,9 => UNS * INC # B2: 5 # I3: 8,9 => UNS * INC # B2: 5 # A2: 8,9 => UNS * INC # B2: 5 # C2: 8,9 => UNS * INC # B2: 5 # E2: 8,9 => UNS * INC # B2: 5 # H5: 8,9 => UNS * INC # B2: 5 # H6: 8,9 => UNS * INC # B2: 5 => UNS * INC # B1: 5 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for B4,B7: 4..:
* INC # B4: 4 => UNS * INC # B7: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A4,A7: 4..:
* INC # A4: 4 => UNS * INC # A7: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for D2,G2: 4..:
* INC # D2: 4 => UNS * INC # G2: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for D1,G1: 4..:
* INC # D1: 4 => UNS * INC # G1: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A7,B7: 4..:
* INC # A7: 4 => UNS * INC # B7: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A4,B4: 4..:
* INC # A4: 4 => UNS * INC # B4: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for G1,G2: 4..:
* INC # G1: 4 => UNS * INC # G2: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for D1,D2: 4..:
* INC # D1: 4 => UNS * INC # D2: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F1,F3: 3..:
* INC # F1: 3 => UNS * INC # F3: 3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for C6,G6: 3..:
* INC # C6: 3 # A8: 1,2 => UNS * INC # C6: 3 # B8: 1,2 => UNS * INC # C6: 3 # A9: 1,2 => UNS * INC # C6: 3 # E7: 1,2 => UNS * INC # C6: 3 # H7: 1,2 => UNS * INC # C6: 3 # C4: 1,2 => UNS * INC # C6: 3 # C4: 8,9 => UNS * INC # C6: 3 # A8: 1,2 # E7: 1,2 => UNS * INC # C6: 3 # A8: 1,2 # H7: 1,2 => UNS * INC # C6: 3 # A8: 1,2 # C4: 1,2 => UNS * INC # C6: 3 # A8: 1,2 # C4: 8,9 => UNS * INC # C6: 3 # A8: 1,2 # D8: 1,2 => UNS * INC # C6: 3 # A8: 1,2 # G8: 1,2 => UNS * INC # C6: 3 # A8: 1,2 # A3: 1,2 => UNS * INC # C6: 3 # A8: 1,2 # A4: 1,2 => UNS * INC # C6: 3 # A8: 1,2 # A5: 1,2 => UNS * INC # C6: 3 # A8: 1,2 # D8: 7,9 => UNS * INC # C6: 3 # A8: 1,2 # F8: 7,9 => UNS * INC # C6: 3 # A8: 1,2 # B1: 7,9 => UNS * INC # C6: 3 # A8: 1,2 # B2: 7,9 => UNS * INC # C6: 3 # A8: 1,2 # B3: 7,9 => UNS * INC # C6: 3 # A8: 1,2 # D9: 7,9 => UNS * INC # C6: 3 # A8: 1,2 # F9: 7,9 => UNS * INC # C6: 3 # A8: 1,2 # A1: 7,9 => UNS * INC # C6: 3 # A8: 1,2 # A2: 7,9 => UNS * INC # C6: 3 # A8: 1,2 # A3: 7,9 => UNS * INC # C6: 3 # A8: 1,2 => UNS * INC # C6: 3 # B8: 1,2 # E7: 1,2 => UNS * INC # C6: 3 # B8: 1,2 # H7: 1,2 => UNS * INC # C6: 3 # B8: 1,2 # C4: 1,2 => UNS * INC # C6: 3 # B8: 1,2 # C4: 8,9 => UNS * INC # C6: 3 # B8: 1,2 # D8: 7,9 => UNS * INC # C6: 3 # B8: 1,2 # F8: 7,9 => UNS * INC # C6: 3 # B8: 1,2 # D8: 1,2 => UNS * INC # C6: 3 # B8: 1,2 # G8: 1,2 => UNS * INC # C6: 3 # B8: 1,2 # B3: 1,2 => UNS * INC # C6: 3 # B8: 1,2 # B4: 1,2 => UNS * INC # C6: 3 # B8: 1,2 # B5: 1,2 => UNS * INC # C6: 3 # B8: 1,2 # D9: 7,9 => UNS * INC # C6: 3 # B8: 1,2 # F9: 7,9 => UNS * INC # C6: 3 # B8: 1,2 => UNS * INC # C6: 3 # A9: 1,2 # E7: 1,2 => UNS * INC # C6: 3 # A9: 1,2 # H7: 1,2 => UNS * INC # C6: 3 # A9: 1,2 # C4: 1,2 => UNS * INC # C6: 3 # A9: 1,2 # C4: 8,9 => UNS * INC # C6: 3 # A9: 1,2 # A1: 7,9 => UNS * INC # C6: 3 # A9: 1,2 # A2: 7,9 => UNS * INC # C6: 3 # A9: 1,2 # A3: 7,9 => UNS * INC # C6: 3 # A9: 1,2 # B1: 7,9 => UNS * INC # C6: 3 # A9: 1,2 # B2: 7,9 => UNS * INC # C6: 3 # A9: 1,2 # B3: 7,9 => UNS * INC # C6: 3 # A9: 1,2 # G9: 1,2 => UNS * INC # C6: 3 # A9: 1,2 # G9: 5,7 => UNS * INC # C6: 3 # A9: 1,2 # A3: 1,2 => UNS * INC # C6: 3 # A9: 1,2 # A4: 1,2 => UNS * INC # C6: 3 # A9: 1,2 # A5: 1,2 => UNS * INC # C6: 3 # A9: 1,2 # D9: 5,7 => UNS * INC # C6: 3 # A9: 1,2 # F9: 5,7 => UNS * INC # C6: 3 # A9: 1,2 # I7: 5,7 => UNS * INC # C6: 3 # A9: 1,2 # I7: 2,6 => UNS * INC # C6: 3 # A9: 1,2 # E7: 1,6 => UNS * INC # C6: 3 # A9: 1,2 # D8: 1,6 => UNS * INC # C6: 3 # A9: 1,2 # G8: 1,6 => UNS * INC # C6: 3 # A9: 1,2 # G8: 2,8 => UNS * INC # C6: 3 # A9: 1,2 # F4: 1,6 => UNS * INC # C6: 3 # A9: 1,2 # F4: 5,8,9 => UNS * INC # C6: 3 # A9: 1,2 => UNS * DIS # C6: 3 # E7: 1,2 # D2: 1,9 => CTR => D2: 4,6,7 * INC # C6: 3 # E7: 1,2 + D2: 4,6,7 # E2: 1,9 => UNS * DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 # F3: 1,9 => CTR => F3: 3,8 * INC # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 # E2: 1,9 => UNS * INC # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 # E2: 6,8 => UNS * DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 # A3: 1,9 => CTR => A3: 2,3,8 * DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3,8 # B3: 1,9 => CTR => B3: 2,3 * INC # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3,8 + B3: 2,3 # I4: 2,8 => UNS * PRF # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3,8 + B3: 2,3 # G5: 2,8 => SOL * STA # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3,8 + B3: 2,3 + G5: 2,8 * CNT 76 HDP CHAINS / 78 HYP OPENED