Analysis of xx-ph-00001478-393-base.sdk
Contents
Original Sudoku
level: very deep
position: ..3..6...4.6.8.1...8.1......1...38..3..2...7.....7......59...2..3...46..9.......5 initial
Autosolve
position: 1.3..6...4.6.8.1...8.1......1...38..3..2...7.....7......59...2..3...46..9.......5 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000055
List of important HDP chains detected for C5,F5: 8..:
* DIS # F5: 8 # E5: 4,9 => CTR => E5: 1,5,6 * CNT 1 HDP CHAINS / 29 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:33.954489
List of important HDP chains detected for D8,E8: 5..:
* PRF # D8: 5 # G1: 4,7 # F2: 5,9 => SOL * STA # D8: 5 # G1: 4,7 + F2: 5,9 * CNT 1 HDP CHAINS / 18 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
| ..3..6...4.6.8.1...8.1......1...38..3..2...7.....7......59...2..3...46..9.......5 | initial |
| 1.3..6...4.6.8.1...8.1......1...38..3..2...7.....7......59...2..3...46..9.......5 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C8,C9: 1.. / C8 = 1 => 2 pairs (_) / C9 = 1 => 0 pairs (_) D2,E3: 3.. / D2 = 3 => 1 pairs (_) / E3 = 3 => 3 pairs (_) D2,D9: 3.. / D2 = 3 => 1 pairs (_) / D9 = 3 => 3 pairs (_) D8,E8: 5.. / D8 = 5 => 4 pairs (_) / E8 = 5 => 1 pairs (_) H3,I3: 6.. / H3 = 6 => 0 pairs (_) / I3 = 6 => 0 pairs (_) A4,C4: 7.. / A4 = 7 => 3 pairs (_) / C4 = 7 => 1 pairs (_) H1,I1: 8.. / H1 = 8 => 1 pairs (_) / I1 = 8 => 0 pairs (_) C5,F5: 8.. / C5 = 8 => 0 pairs (_) / F5 = 8 => 2 pairs (_) H8,I8: 9.. / H8 = 9 => 1 pairs (_) / I8 = 9 => 1 pairs (_) * DURATION: 0:00:14.476262 START: 16:53:47.722803 END: 16:54:02.199065 2020-11-28 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D8,E8: 5.. / D8 = 5 ==> 4 pairs (_) / E8 = 5 ==> 1 pairs (_) A4,C4: 7.. / A4 = 7 ==> 3 pairs (_) / C4 = 7 ==> 1 pairs (_) D2,D9: 3.. / D2 = 3 ==> 1 pairs (_) / D9 = 3 ==> 3 pairs (_) D2,E3: 3.. / D2 = 3 ==> 1 pairs (_) / E3 = 3 ==> 3 pairs (_) C5,F5: 8.. / C5 = 8 ==> 0 pairs (_) / F5 = 8 ==> 2 pairs (_) C8,C9: 1.. / C8 = 1 ==> 2 pairs (_) / C9 = 1 ==> 0 pairs (_) H8,I8: 9.. / H8 = 9 ==> 1 pairs (_) / I8 = 9 ==> 1 pairs (_) H1,I1: 8.. / H1 = 8 ==> 1 pairs (_) / I1 = 8 ==> 0 pairs (_) H3,I3: 6.. / H3 = 6 ==> 0 pairs (_) / I3 = 6 ==> 0 pairs (_) * DURATION: 0:02:22.670605 START: 16:54:02.200891 END: 16:56:24.871496 2020-11-28 * REASONING C5,F5: 8.. * DIS # F5: 8 # E5: 4,9 => CTR => E5: 1,5,6 * CNT 1 HDP CHAINS / 29 HYP OPENED * DCP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) D8,E8: 5.. / D8 = 5 ==> 0 pairs (*) / E8 = 5 => 0 pairs (X) * DURATION: 0:00:33.953068 START: 16:56:25.017246 END: 16:56:58.970314 2020-11-28 * REASONING D8,E8: 5.. * PRF # D8: 5 # G1: 4,7 # F2: 5,9 => SOL * STA # D8: 5 # G1: 4,7 + F2: 5,9 * CNT 1 HDP CHAINS / 18 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
1478;393;elev;23;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D8,E8: 5..:
* INC # D8: 5 # G1: 4,7 => UNS * INC # D8: 5 # I1: 4,7 => UNS * INC # D8: 5 # I2: 3,7 => UNS * INC # D8: 5 # I2: 2,9 => UNS * INC # D8: 5 # D9: 3,7 => UNS * INC # D8: 5 # D9: 6,8 => UNS * INC # D8: 5 # E4: 4,6 => UNS * INC # D8: 5 # E5: 4,6 => UNS * INC # D8: 5 # D6: 4,6 => UNS * INC # D8: 5 # H4: 4,6 => UNS * INC # D8: 5 # I4: 4,6 => UNS * INC # D8: 5 # E9: 1,2 => UNS * INC # D8: 5 # F9: 1,2 => UNS * INC # D8: 5 # C8: 1,2 => UNS * INC # D8: 5 # C8: 7,8 => UNS * INC # D8: 5 => UNS * INC # E8: 5 # F7: 7,8 => UNS * INC # E8: 5 # D9: 7,8 => UNS * INC # E8: 5 # F9: 7,8 => UNS * INC # E8: 5 # A8: 7,8 => UNS * INC # E8: 5 # C8: 7,8 => UNS * INC # E8: 5 # I8: 7,8 => UNS * INC # E8: 5 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for A4,C4: 7..:
* INC # A4: 7 # B1: 2,5 => UNS * INC # A4: 7 # B2: 2,5 => UNS * INC # A4: 7 # E3: 2,5 => UNS * INC # A4: 7 # F3: 2,5 => UNS * INC # A4: 7 # G3: 2,5 => UNS * INC # A4: 7 # A6: 2,5 => UNS * INC # A4: 7 # A6: 6,8 => UNS * INC # A4: 7 # A6: 6,8 => UNS * INC # A4: 7 # A6: 2,5 => UNS * INC # A4: 7 # C8: 2,8 => UNS * INC # A4: 7 # C9: 2,8 => UNS * INC # A4: 7 # A6: 2,8 => UNS * INC # A4: 7 # A6: 5,6 => UNS * INC # A4: 7 => UNS * INC # C4: 7 # B1: 2,9 => UNS * INC # C4: 7 # B2: 2,9 => UNS * INC # C4: 7 # E3: 2,9 => UNS * INC # C4: 7 # F3: 2,9 => UNS * INC # C4: 7 # G3: 2,9 => UNS * INC # C4: 7 # I3: 2,9 => UNS * INC # C4: 7 # C6: 2,9 => UNS * INC # C4: 7 # C6: 4,8 => UNS * INC # C4: 7 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for D2,D9: 3..:
* INC # D9: 3 # D1: 5,7 => UNS * INC # D9: 3 # F2: 5,7 => UNS * INC # D9: 3 # F3: 5,7 => UNS * INC # D9: 3 # B2: 5,7 => UNS * INC # D9: 3 # B2: 2,9 => UNS * INC # D9: 3 # D8: 5,7 => UNS * INC # D9: 3 # D8: 8 => UNS * INC # D9: 3 # E9: 1,6 => UNS * INC # D9: 3 # E9: 2 => UNS * INC # D9: 3 # G7: 4,7 => UNS * INC # D9: 3 # I7: 4,7 => UNS * INC # D9: 3 # B9: 4,7 => UNS * INC # D9: 3 # C9: 4,7 => UNS * INC # D9: 3 # G3: 4,7 => UNS * INC # D9: 3 # G3: 2,5,9 => UNS * INC # D9: 3 => UNS * INC # D2: 3 # G1: 5,9 => UNS * INC # D2: 3 # H1: 5,9 => UNS * INC # D2: 3 # G3: 5,9 => UNS * INC # D2: 3 # H3: 5,9 => UNS * INC # D2: 3 # B2: 5,9 => UNS * INC # D2: 3 # F2: 5,9 => UNS * INC # D2: 3 # H4: 5,9 => UNS * INC # D2: 3 # H6: 5,9 => UNS * INC # D2: 3 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for D2,E3: 3..:
* INC # E3: 3 # D1: 5,7 => UNS * INC # E3: 3 # F2: 5,7 => UNS * INC # E3: 3 # F3: 5,7 => UNS * INC # E3: 3 # B2: 5,7 => UNS * INC # E3: 3 # B2: 2,9 => UNS * INC # E3: 3 # D8: 5,7 => UNS * INC # E3: 3 # D8: 8 => UNS * INC # E3: 3 # E9: 1,6 => UNS * INC # E3: 3 # E9: 2 => UNS * INC # E3: 3 # G7: 4,7 => UNS * INC # E3: 3 # I7: 4,7 => UNS * INC # E3: 3 # B9: 4,7 => UNS * INC # E3: 3 # C9: 4,7 => UNS * INC # E3: 3 # G3: 4,7 => UNS * INC # E3: 3 # G3: 2,5,9 => UNS * INC # E3: 3 => UNS * INC # D2: 3 # G1: 5,9 => UNS * INC # D2: 3 # H1: 5,9 => UNS * INC # D2: 3 # G3: 5,9 => UNS * INC # D2: 3 # H3: 5,9 => UNS * INC # D2: 3 # B2: 5,9 => UNS * INC # D2: 3 # F2: 5,9 => UNS * INC # D2: 3 # H4: 5,9 => UNS * INC # D2: 3 # H6: 5,9 => UNS * INC # D2: 3 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for C5,F5: 8..:
* INC # F5: 8 # C4: 4,9 => UNS * INC # F5: 8 # B5: 4,9 => UNS * INC # F5: 8 # B6: 4,9 => UNS * INC # F5: 8 # C6: 4,9 => UNS * DIS # F5: 8 # E5: 4,9 => CTR => E5: 1,5,6 * INC # F5: 8 + E5: 1,5,6 # G5: 4,9 => UNS * INC # F5: 8 + E5: 1,5,6 # I5: 4,9 => UNS * INC # F5: 8 + E5: 1,5,6 # C4: 4,9 => UNS * INC # F5: 8 + E5: 1,5,6 # B5: 4,9 => UNS * INC # F5: 8 + E5: 1,5,6 # B6: 4,9 => UNS * INC # F5: 8 + E5: 1,5,6 # C6: 4,9 => UNS * INC # F5: 8 + E5: 1,5,6 # G5: 4,9 => UNS * INC # F5: 8 + E5: 1,5,6 # I5: 4,9 => UNS * INC # F5: 8 + E5: 1,5,6 # F9: 1,7 => UNS * INC # F5: 8 + E5: 1,5,6 # F9: 2 => UNS * INC # F5: 8 + E5: 1,5,6 # I7: 1,7 => UNS * INC # F5: 8 + E5: 1,5,6 # I7: 3,4,8 => UNS * INC # F5: 8 + E5: 1,5,6 # C4: 4,9 => UNS * INC # F5: 8 + E5: 1,5,6 # B5: 4,9 => UNS * INC # F5: 8 + E5: 1,5,6 # B6: 4,9 => UNS * INC # F5: 8 + E5: 1,5,6 # C6: 4,9 => UNS * INC # F5: 8 + E5: 1,5,6 # G5: 4,9 => UNS * INC # F5: 8 + E5: 1,5,6 # I5: 4,9 => UNS * INC # F5: 8 + E5: 1,5,6 # F9: 1,7 => UNS * INC # F5: 8 + E5: 1,5,6 # F9: 2 => UNS * INC # F5: 8 + E5: 1,5,6 # I7: 1,7 => UNS * INC # F5: 8 + E5: 1,5,6 # I7: 3,4,8 => UNS * INC # F5: 8 + E5: 1,5,6 => UNS * INC # C5: 8 => UNS * CNT 29 HDP CHAINS / 29 HYP OPENED
Full list of HDP chains traversed for C8,C9: 1..:
* INC # C8: 1 # E1: 2,5 => UNS * INC # C8: 1 # E3: 2,5 => UNS * INC # C8: 1 # I8: 8,9 => UNS * INC # C8: 1 # I8: 7 => UNS * INC # C8: 1 # H1: 8,9 => UNS * INC # C8: 1 # H1: 4,5 => UNS * INC # C8: 1 => UNS * INC # C9: 1 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for H8,I8: 9..:
* INC # H8: 9 # G3: 3,5 => UNS * INC # H8: 9 # H3: 3,5 => UNS * INC # H8: 9 # D2: 3,5 => UNS * INC # H8: 9 # D2: 7 => UNS * INC # H8: 9 # H6: 3,5 => UNS * INC # H8: 9 # H6: 1,4,6 => UNS * INC # H8: 9 => UNS * INC # I8: 9 # I7: 1,8 => UNS * INC # I8: 9 # H9: 1,8 => UNS * INC # I8: 9 # C8: 1,8 => UNS * INC # I8: 9 # C8: 2,7 => UNS * INC # I8: 9 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for H1,I1: 8..:
* INC # H1: 8 # I8: 1,9 => UNS * INC # H1: 8 # I8: 7,8 => UNS * INC # H1: 8 # H6: 1,9 => UNS * INC # H1: 8 # H6: 3,4,5,6 => UNS * INC # H1: 8 => UNS * INC # I1: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for H3,I3: 6..:
* INC # H3: 6 => UNS * INC # I3: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for D8,E8: 5..:
* INC # D8: 5 # G1: 4,7 => UNS * INC # D8: 5 # I1: 4,7 => UNS * INC # D8: 5 # I2: 3,7 => UNS * INC # D8: 5 # I2: 2,9 => UNS * INC # D8: 5 # D9: 3,7 => UNS * INC # D8: 5 # D9: 6,8 => UNS * INC # D8: 5 # E4: 4,6 => UNS * INC # D8: 5 # E5: 4,6 => UNS * INC # D8: 5 # D6: 4,6 => UNS * INC # D8: 5 # H4: 4,6 => UNS * INC # D8: 5 # I4: 4,6 => UNS * INC # D8: 5 # E9: 1,2 => UNS * INC # D8: 5 # F9: 1,2 => UNS * INC # D8: 5 # C8: 1,2 => UNS * INC # D8: 5 # C8: 7,8 => UNS * PRF # D8: 5 # G1: 4,7 # F2: 5,9 => SOL * STA # D8: 5 # G1: 4,7 + F2: 5,9 * CNT 16 HDP CHAINS / 18 HYP OPENED