Analysis of xx-ph-00066543-12_11-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..75..6......6..8...4..8...3...5.7.8.......4..7.2.....1...7.8.9.....1.3..2 initial
Autosolve
position: 98.7..6..75..6......6..8...47.8...3...5.7.8.......4..7.2...7.1...7.8.9.....1.3..2 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:49.355530
List of important HDP chains detected for H3,H9: 7..:
* DIS # H9: 7 # A8: 3,5 # A6: 1,2 => CTR => A6: 6,8 * DIS # H9: 7 # A8: 3,5 + A6: 6,8 # G7: 4 => CTR => G7: 3,5 * DIS # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 # D8: 2,5 => CTR => D8: 4 * PRF # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 # E3: 3 => SOL * STA # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 + E3: 3 * CNT 4 HDP CHAINS / 41 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
| 98.7..6..75..6......6..8...4..8...3...5.7.8.......4..7.2.....1...7.8.9.....1.3..2 | initial |
| 98.7..6..75..6......6..8...47.8...3...5.7.8.......4..7.2...7.1...7.8.9.....1.3..2 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A8,B8: 1.. / A8 = 1 => 1 pairs (_) / B8 = 1 => 1 pairs (_) D8,F8: 2.. / D8 = 2 => 1 pairs (_) / F8 = 2 => 2 pairs (_) H5,I5: 4.. / H5 = 4 => 2 pairs (_) / I5 = 4 => 0 pairs (_) F4,I4: 6.. / F4 = 6 => 1 pairs (_) / I4 = 6 => 0 pairs (_) G3,H3: 7.. / G3 = 7 => 3 pairs (_) / H3 = 7 => 0 pairs (_) G9,H9: 7.. / G9 = 7 => 0 pairs (_) / H9 = 7 => 3 pairs (_) G3,G9: 7.. / G3 = 7 => 3 pairs (_) / G9 = 7 => 0 pairs (_) H3,H9: 7.. / H3 = 7 => 0 pairs (_) / H9 = 7 => 3 pairs (_) H2,I2: 8.. / H2 = 8 => 0 pairs (_) / I2 = 8 => 2 pairs (_) A6,C6: 8.. / A6 = 8 => 1 pairs (_) / C6 = 8 => 1 pairs (_) I7,H9: 8.. / I7 = 8 => 0 pairs (_) / H9 = 8 => 2 pairs (_) H2,H9: 8.. / H2 = 8 => 0 pairs (_) / H9 = 8 => 2 pairs (_) I2,I7: 8.. / I2 = 8 => 2 pairs (_) / I7 = 8 => 0 pairs (_) * DURATION: 0:00:08.617919 START: 10:48:16.630343 END: 10:48:25.248262 2020-12-22 * CP COUNT: (13) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H3,H9: 7.. / H3 = 7 ==> 0 pairs (_) / H9 = 7 ==> 3 pairs (_) G3,G9: 7.. / G3 = 7 ==> 3 pairs (_) / G9 = 7 ==> 0 pairs (_) G9,H9: 7.. / G9 = 7 ==> 0 pairs (_) / H9 = 7 ==> 3 pairs (_) G3,H3: 7.. / G3 = 7 ==> 3 pairs (_) / H3 = 7 ==> 0 pairs (_) D8,F8: 2.. / D8 = 2 ==> 1 pairs (_) / F8 = 2 ==> 2 pairs (_) I2,I7: 8.. / I2 = 8 ==> 2 pairs (_) / I7 = 8 ==> 0 pairs (_) H2,H9: 8.. / H2 = 8 ==> 0 pairs (_) / H9 = 8 ==> 2 pairs (_) I7,H9: 8.. / I7 = 8 ==> 0 pairs (_) / H9 = 8 ==> 2 pairs (_) H2,I2: 8.. / H2 = 8 ==> 0 pairs (_) / I2 = 8 ==> 2 pairs (_) H5,I5: 4.. / H5 = 4 ==> 2 pairs (_) / I5 = 4 ==> 0 pairs (_) A6,C6: 8.. / A6 = 8 ==> 1 pairs (_) / C6 = 8 ==> 1 pairs (_) A8,B8: 1.. / A8 = 1 ==> 1 pairs (_) / B8 = 1 ==> 1 pairs (_) F4,I4: 6.. / F4 = 6 ==> 1 pairs (_) / I4 = 6 ==> 0 pairs (_) * DURATION: 0:01:15.698970 START: 10:48:25.248815 END: 10:49:40.947785 2020-12-22 * DCP COUNT: (13) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) H3,H9: 7.. / H3 = 7 => 0 pairs (X) / H9 = 7 ==> 0 pairs (*) * DURATION: 0:00:49.352475 START: 10:49:41.092280 END: 10:50:30.444755 2020-12-22 * REASONING H3,H9: 7.. * DIS # H9: 7 # A8: 3,5 # A6: 1,2 => CTR => A6: 6,8 * DIS # H9: 7 # A8: 3,5 + A6: 6,8 # G7: 4 => CTR => G7: 3,5 * DIS # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 # D8: 2,5 => CTR => D8: 4 * PRF # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 # E3: 3 => SOL * STA # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 + E3: 3 * CNT 4 HDP CHAINS / 41 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
66543;12_11;GP;25;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H3,H9: 7..:
* INC # H9: 7 # A8: 3,5 => UNS * INC # H9: 7 # A8: 1 => UNS * INC # H9: 7 # G7: 3,5 => UNS * INC # H9: 7 # G7: 4 => UNS * INC # H9: 7 # D8: 2,5 => UNS * INC # H9: 7 # D8: 4 => UNS * INC # H9: 7 # F1: 2,5 => UNS * INC # H9: 7 # F4: 2,5 => UNS * INC # H9: 7 # G7: 4,5 => UNS * INC # H9: 7 # H8: 4,5 => UNS * INC # H9: 7 # I8: 4,5 => UNS * INC # H9: 7 # E9: 4,5 => UNS * INC # H9: 7 # E9: 9 => UNS * INC # H9: 7 => UNS * INC # H3: 7 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for G3,G9: 7..:
* INC # G3: 7 # A8: 3,5 => UNS * INC # G3: 7 # A8: 1 => UNS * INC # G3: 7 # G7: 3,5 => UNS * INC # G3: 7 # G7: 4 => UNS * INC # G3: 7 # D8: 2,5 => UNS * INC # G3: 7 # D8: 4 => UNS * INC # G3: 7 # F1: 2,5 => UNS * INC # G3: 7 # F4: 2,5 => UNS * INC # G3: 7 # G7: 4,5 => UNS * INC # G3: 7 # H8: 4,5 => UNS * INC # G3: 7 # I8: 4,5 => UNS * INC # G3: 7 # E9: 4,5 => UNS * INC # G3: 7 # E9: 9 => UNS * INC # G3: 7 => UNS * INC # G9: 7 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for G9,H9: 7..:
* INC # H9: 7 # A8: 3,5 => UNS * INC # H9: 7 # A8: 1 => UNS * INC # H9: 7 # G7: 3,5 => UNS * INC # H9: 7 # G7: 4 => UNS * INC # H9: 7 # D8: 2,5 => UNS * INC # H9: 7 # D8: 4 => UNS * INC # H9: 7 # F1: 2,5 => UNS * INC # H9: 7 # F4: 2,5 => UNS * INC # H9: 7 # G7: 4,5 => UNS * INC # H9: 7 # H8: 4,5 => UNS * INC # H9: 7 # I8: 4,5 => UNS * INC # H9: 7 # E9: 4,5 => UNS * INC # H9: 7 # E9: 9 => UNS * INC # H9: 7 => UNS * INC # G9: 7 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for G3,H3: 7..:
* INC # G3: 7 # A8: 3,5 => UNS * INC # G3: 7 # A8: 1 => UNS * INC # G3: 7 # G7: 3,5 => UNS * INC # G3: 7 # G7: 4 => UNS * INC # G3: 7 # D8: 2,5 => UNS * INC # G3: 7 # D8: 4 => UNS * INC # G3: 7 # F1: 2,5 => UNS * INC # G3: 7 # F4: 2,5 => UNS * INC # G3: 7 # G7: 4,5 => UNS * INC # G3: 7 # H8: 4,5 => UNS * INC # G3: 7 # I8: 4,5 => UNS * INC # G3: 7 # E9: 4,5 => UNS * INC # G3: 7 # E9: 9 => UNS * INC # G3: 7 => UNS * INC # H3: 7 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for D8,F8: 2..:
* INC # F8: 2 # E1: 1,5 => UNS * INC # F8: 2 # E3: 1,5 => UNS * INC # F8: 2 # I1: 1,5 => UNS * INC # F8: 2 # I1: 3,4 => UNS * INC # F8: 2 # F4: 1,5 => UNS * INC # F8: 2 # F4: 6,9 => UNS * INC # F8: 2 # E3: 1,9 => UNS * INC # F8: 2 # E3: 2,3,4,5 => UNS * INC # F8: 2 # I2: 1,9 => UNS * INC # F8: 2 # I2: 3,4,8 => UNS * INC # F8: 2 # F4: 1,9 => UNS * INC # F8: 2 # F5: 1,9 => UNS * INC # F8: 2 => UNS * INC # D8: 2 # D7: 5,6 => UNS * INC # D8: 2 # D7: 4,9 => UNS * INC # D8: 2 # A8: 5,6 => UNS * INC # D8: 2 # H8: 5,6 => UNS * INC # D8: 2 # I8: 5,6 => UNS * INC # D8: 2 # F4: 5,6 => UNS * INC # D8: 2 # F4: 1,2,9 => UNS * INC # D8: 2 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for I2,I7: 8..:
* INC # I2: 8 # C7: 4,9 => UNS * INC # I2: 8 # B9: 4,9 => UNS * INC # I2: 8 # E9: 4,9 => UNS * INC # I2: 8 # E9: 5 => UNS * INC # I2: 8 => UNS * INC # I7: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for H2,H9: 8..:
* INC # H9: 8 # C7: 4,9 => UNS * INC # H9: 8 # B9: 4,9 => UNS * INC # H9: 8 # E9: 4,9 => UNS * INC # H9: 8 # E9: 5 => UNS * INC # H9: 8 => UNS * INC # H2: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for I7,H9: 8..:
* INC # H9: 8 # C7: 4,9 => UNS * INC # H9: 8 # B9: 4,9 => UNS * INC # H9: 8 # E9: 4,9 => UNS * INC # H9: 8 # E9: 5 => UNS * INC # H9: 8 => UNS * INC # I7: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for H2,I2: 8..:
* INC # I2: 8 # C7: 4,9 => UNS * INC # I2: 8 # B9: 4,9 => UNS * INC # I2: 8 # E9: 4,9 => UNS * INC # I2: 8 # E9: 5 => UNS * INC # I2: 8 => UNS * INC # H2: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for H5,I5: 4..:
* INC # H5: 4 # G3: 2,5 => UNS * INC # H5: 4 # H3: 2,5 => UNS * INC # H5: 4 # E1: 2,5 => UNS * INC # H5: 4 # F1: 2,5 => UNS * INC # H5: 4 # H6: 2,5 => UNS * INC # H5: 4 # H6: 6,9 => UNS * INC # H5: 4 # I7: 5,6 => UNS * INC # H5: 4 # I8: 5,6 => UNS * INC # H5: 4 # H9: 5,6 => UNS * INC # H5: 4 # A8: 5,6 => UNS * INC # H5: 4 # D8: 5,6 => UNS * INC # H5: 4 # F8: 5,6 => UNS * INC # H5: 4 # H6: 5,6 => UNS * INC # H5: 4 # H6: 2,9 => UNS * INC # H5: 4 => UNS * INC # I5: 4 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for A6,C6: 8..:
* INC # A6: 8 # A7: 5,6 => UNS * INC # A6: 8 # A8: 5,6 => UNS * INC # A6: 8 # H9: 5,6 => UNS * INC # A6: 8 # H9: 4,7,8 => UNS * INC # A6: 8 => UNS * INC # C6: 8 # C7: 4,9 => UNS * INC # C6: 8 # B9: 4,9 => UNS * INC # C6: 8 # E9: 4,9 => UNS * INC # C6: 8 # E9: 5 => UNS * INC # C6: 8 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for A8,B8: 1..:
* INC # A8: 1 # C1: 2,3 => UNS * INC # A8: 1 # C2: 2,3 => UNS * INC # A8: 1 # D3: 2,3 => UNS * INC # A8: 1 # E3: 2,3 => UNS * INC # A8: 1 # G3: 2,3 => UNS * INC # A8: 1 # A5: 2,3 => UNS * INC # A8: 1 # A6: 2,3 => UNS * INC # A8: 1 => UNS * INC # B8: 1 # C1: 3,4 => UNS * INC # B8: 1 # C2: 3,4 => UNS * INC # B8: 1 # D3: 3,4 => UNS * INC # B8: 1 # E3: 3,4 => UNS * INC # B8: 1 # G3: 3,4 => UNS * INC # B8: 1 # I3: 3,4 => UNS * INC # B8: 1 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for F4,I4: 6..:
* INC # F4: 6 # D8: 2,5 => UNS * INC # F4: 6 # D8: 4,6 => UNS * INC # F4: 6 # F1: 2,5 => UNS * INC # F4: 6 # F1: 1 => UNS * INC # F4: 6 => UNS * INC # I4: 6 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for H3,H9: 7..:
* INC # H9: 7 # A8: 3,5 => UNS * INC # H9: 7 # A8: 1 => UNS * INC # H9: 7 # G7: 3,5 => UNS * INC # H9: 7 # G7: 4 => UNS * INC # H9: 7 # D8: 2,5 => UNS * INC # H9: 7 # D8: 4 => UNS * INC # H9: 7 # F1: 2,5 => UNS * INC # H9: 7 # F4: 2,5 => UNS * INC # H9: 7 # G7: 4,5 => UNS * INC # H9: 7 # H8: 4,5 => UNS * INC # H9: 7 # I8: 4,5 => UNS * INC # H9: 7 # E9: 4,5 => UNS * INC # H9: 7 # E9: 9 => UNS * INC # H9: 7 # A8: 3,5 # C1: 1,2 => UNS * INC # H9: 7 # A8: 3,5 # C2: 1,2 => UNS * INC # H9: 7 # A8: 3,5 # E3: 1,2 => UNS * INC # H9: 7 # A8: 3,5 # E3: 3,4,5 => UNS * INC # H9: 7 # A8: 3,5 # A5: 1,2 => UNS * DIS # H9: 7 # A8: 3,5 # A6: 1,2 => CTR => A6: 6,8 * INC # H9: 7 # A8: 3,5 + A6: 6,8 # C1: 1,2 => UNS * INC # H9: 7 # A8: 3,5 + A6: 6,8 # C2: 1,2 => UNS * INC # H9: 7 # A8: 3,5 + A6: 6,8 # E3: 1,2 => UNS * INC # H9: 7 # A8: 3,5 + A6: 6,8 # E3: 3,4,5 => UNS * INC # H9: 7 # A8: 3,5 + A6: 6,8 # C1: 3,4 => UNS * INC # H9: 7 # A8: 3,5 + A6: 6,8 # C2: 3,4 => UNS * INC # H9: 7 # A8: 3,5 + A6: 6,8 # D3: 3,4 => UNS * INC # H9: 7 # A8: 3,5 + A6: 6,8 # E3: 3,4 => UNS * INC # H9: 7 # A8: 3,5 + A6: 6,8 # I3: 3,4 => UNS * INC # H9: 7 # A8: 3,5 + A6: 6,8 # G7: 3,5 => UNS * DIS # H9: 7 # A8: 3,5 + A6: 6,8 # G7: 4 => CTR => G7: 3,5 * INC # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 # B9: 4,9 => UNS * INC # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 # C9: 4,9 => UNS * INC # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 # I8: 3,5 => UNS * INC # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 # I8: 4,6 => UNS * DIS # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 # D8: 2,5 => CTR => D8: 4 * INC # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 # C1: 1,2 => UNS * INC # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 # C2: 1,2 => UNS * INC # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 # E3: 1,2 => UNS * PRF # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 # E3: 3 => SOL * STA # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 + E3: 3 * CNT 39 HDP CHAINS / 41 HYP OPENED