Analysis of xx-ph-00015033-kz1a-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..5.4.6.........8...3....69....8.2..4.........1.7...38....56....2....1..5. initial
Autosolve
position: 98.7..6..5.4.6.........8...3....69....8.2..4.........1.7...38....56....2....1..5. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000013
List of important HDP chains detected for H6,H7: 6..:
* DIS # H6: 6 # H2: 1,9 => CTR => H2: 2,3,7,8 * CNT 1 HDP CHAINS / 38 HYP OPENED
List of important HDP chains detected for I5,H6: 6..:
* DIS # H6: 6 # H2: 1,9 => CTR => H2: 2,3,7,8 * CNT 1 HDP CHAINS / 38 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:43.708698
List of important HDP chains detected for H6,H7: 6..:
* DIS # H7: 6 # C4: 2 # C3: 1,3 => CTR => C3: 6,7 * PRF # H7: 6 # C4: 2 + C3: 6,7 # H6: 7,8 => SOL * STA # H7: 6 # C4: 2 + C3: 6,7 + H6: 7,8 * CNT 2 HDP CHAINS / 57 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..5.4.6.........8...3....69....8.2..4.........1.7...38....56....2....1..5. | initial |
| 98.7..6..5.4.6.........8...3....69....8.2..4.........1.7...38....56....2....1..5. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D7,E7: 5.. / D7 = 5 => 1 pairs (_) / E7 = 5 => 1 pairs (_) I5,H6: 6.. / I5 = 6 => 3 pairs (_) / H6 = 6 => 1 pairs (_) H6,H7: 6.. / H6 = 6 => 1 pairs (_) / H7 = 6 => 3 pairs (_) A3,C3: 7.. / A3 = 7 => 1 pairs (_) / C3 = 7 => 1 pairs (_) H2,I2: 8.. / H2 = 8 => 1 pairs (_) / I2 = 8 => 1 pairs (_) A8,A9: 8.. / A8 = 8 => 0 pairs (_) / A9 = 8 => 1 pairs (_) E8,D9: 8.. / E8 = 8 => 1 pairs (_) / D9 = 8 => 0 pairs (_) A8,E8: 8.. / A8 = 8 => 0 pairs (_) / E8 = 8 => 1 pairs (_) A9,D9: 8.. / A9 = 8 => 1 pairs (_) / D9 = 8 => 0 pairs (_) I2,I4: 8.. / I2 = 8 => 1 pairs (_) / I4 = 8 => 1 pairs (_) * DURATION: 0:00:07.166377 START: 13:20:43.823257 END: 13:20:50.989634 2020-12-03 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H6,H7: 6.. / H6 = 6 ==> 1 pairs (_) / H7 = 6 ==> 3 pairs (_) I5,H6: 6.. / I5 = 6 ==> 3 pairs (_) / H6 = 6 ==> 1 pairs (_) I2,I4: 8.. / I2 = 8 ==> 1 pairs (_) / I4 = 8 ==> 1 pairs (_) H2,I2: 8.. / H2 = 8 ==> 1 pairs (_) / I2 = 8 ==> 1 pairs (_) A3,C3: 7.. / A3 = 7 ==> 1 pairs (_) / C3 = 7 ==> 1 pairs (_) D7,E7: 5.. / D7 = 5 ==> 1 pairs (_) / E7 = 5 ==> 1 pairs (_) A9,D9: 8.. / A9 = 8 ==> 1 pairs (_) / D9 = 8 ==> 0 pairs (_) A8,E8: 8.. / A8 = 8 ==> 0 pairs (_) / E8 = 8 ==> 1 pairs (_) E8,D9: 8.. / E8 = 8 ==> 1 pairs (_) / D9 = 8 ==> 0 pairs (_) A8,A9: 8.. / A8 = 8 ==> 0 pairs (_) / A9 = 8 ==> 1 pairs (_) * DURATION: 0:01:12.187021 START: 13:20:50.990735 END: 13:22:03.177756 2020-12-03 * REASONING H6,H7: 6.. * DIS # H6: 6 # H2: 1,9 => CTR => H2: 2,3,7,8 * CNT 1 HDP CHAINS / 38 HYP OPENED * REASONING I5,H6: 6.. * DIS # H6: 6 # H2: 1,9 => CTR => H2: 2,3,7,8 * CNT 1 HDP CHAINS / 38 HYP OPENED * DCP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) H6,H7: 6.. / H6 = 6 => 0 pairs (X) / H7 = 6 ==> 0 pairs (*) * DURATION: 0:00:43.706438 START: 13:22:03.297839 END: 13:22:47.004277 2020-12-03 * REASONING H6,H7: 6.. * DIS # H7: 6 # C4: 2 # C3: 1,3 => CTR => C3: 6,7 * PRF # H7: 6 # C4: 2 + C3: 6,7 # H6: 7,8 => SOL * STA # H7: 6 # C4: 2 + C3: 6,7 + H6: 7,8 * CNT 2 HDP CHAINS / 57 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
15033;kz1a;GP;23;11.30;11.30;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H6,H7: 6..:
* INC # H7: 6 # C4: 1,7 => UNS * INC # H7: 6 # C4: 2 => UNS * INC # H7: 6 # F5: 1,7 => UNS * INC # H7: 6 # F5: 5,9 => UNS * INC # H7: 6 # A3: 1,7 => UNS * INC # H7: 6 # A3: 2,6 => UNS * INC # H7: 6 # A9: 4,8 => UNS * INC # H7: 6 # A9: 2,6 => UNS * INC # H7: 6 # E8: 4,8 => UNS * INC # H7: 6 # E8: 7,9 => UNS * INC # H7: 6 # I9: 4,9 => UNS * INC # H7: 6 # I9: 3,7 => UNS * INC # H7: 6 # D7: 4,9 => UNS * INC # H7: 6 # E7: 4,9 => UNS * INC # H7: 6 # I3: 4,9 => UNS * INC # H7: 6 # I3: 3,5 => UNS * INC # H7: 6 => UNS * INC # H6: 6 # H8: 1,9 => UNS * INC # H6: 6 # H8: 3,7 => UNS * INC # H6: 6 # C7: 1,9 => UNS * INC # H6: 6 # C7: 2,6 => UNS * DIS # H6: 6 # H2: 1,9 => CTR => H2: 2,3,7,8 * INC # H6: 6 + H2: 2,3,7,8 # H3: 1,9 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H3: 1,9 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H3: 2,3 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H8: 1,9 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H8: 3,7 => UNS * INC # H6: 6 + H2: 2,3,7,8 # C7: 1,9 => UNS * INC # H6: 6 + H2: 2,3,7,8 # C7: 2,6 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H3: 1,9 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H3: 2,3 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H8: 1,9 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H8: 3,7 => UNS * INC # H6: 6 + H2: 2,3,7,8 # C7: 1,9 => UNS * INC # H6: 6 + H2: 2,3,7,8 # C7: 2,6 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H3: 1,9 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H3: 2,3 => UNS * INC # H6: 6 + H2: 2,3,7,8 => UNS * CNT 38 HDP CHAINS / 38 HYP OPENED
Full list of HDP chains traversed for I5,H6: 6..:
* INC # I5: 6 # C4: 1,7 => UNS * INC # I5: 6 # C4: 2 => UNS * INC # I5: 6 # F5: 1,7 => UNS * INC # I5: 6 # F5: 5,9 => UNS * INC # I5: 6 # A3: 1,7 => UNS * INC # I5: 6 # A3: 2,6 => UNS * INC # I5: 6 # A9: 4,8 => UNS * INC # I5: 6 # A9: 2,6 => UNS * INC # I5: 6 # E8: 4,8 => UNS * INC # I5: 6 # E8: 7,9 => UNS * INC # I5: 6 # I9: 4,9 => UNS * INC # I5: 6 # I9: 3,7 => UNS * INC # I5: 6 # D7: 4,9 => UNS * INC # I5: 6 # E7: 4,9 => UNS * INC # I5: 6 # I3: 4,9 => UNS * INC # I5: 6 # I3: 3,5 => UNS * INC # I5: 6 => UNS * INC # H6: 6 # H8: 1,9 => UNS * INC # H6: 6 # H8: 3,7 => UNS * INC # H6: 6 # C7: 1,9 => UNS * INC # H6: 6 # C7: 2,6 => UNS * DIS # H6: 6 # H2: 1,9 => CTR => H2: 2,3,7,8 * INC # H6: 6 + H2: 2,3,7,8 # H3: 1,9 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H3: 1,9 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H3: 2,3 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H8: 1,9 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H8: 3,7 => UNS * INC # H6: 6 + H2: 2,3,7,8 # C7: 1,9 => UNS * INC # H6: 6 + H2: 2,3,7,8 # C7: 2,6 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H3: 1,9 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H3: 2,3 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H8: 1,9 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H8: 3,7 => UNS * INC # H6: 6 + H2: 2,3,7,8 # C7: 1,9 => UNS * INC # H6: 6 + H2: 2,3,7,8 # C7: 2,6 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H3: 1,9 => UNS * INC # H6: 6 + H2: 2,3,7,8 # H3: 2,3 => UNS * INC # H6: 6 + H2: 2,3,7,8 => UNS * CNT 38 HDP CHAINS / 38 HYP OPENED
Full list of HDP chains traversed for I2,I4: 8..:
* INC # I2: 8 # G5: 5,7 => UNS * INC # I2: 8 # I5: 5,7 => UNS * INC # I2: 8 # G6: 5,7 => UNS * INC # I2: 8 # E4: 5,7 => UNS * INC # I2: 8 # E4: 4,8 => UNS * INC # I2: 8 => UNS * INC # I4: 8 # G6: 2,7 => UNS * INC # I4: 8 # H6: 2,7 => UNS * INC # I4: 8 # C4: 2,7 => UNS * INC # I4: 8 # C4: 1 => UNS * INC # I4: 8 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for H2,I2: 8..:
* INC # H2: 8 # G6: 2,7 => UNS * INC # H2: 8 # H6: 2,7 => UNS * INC # H2: 8 # C4: 2,7 => UNS * INC # H2: 8 # C4: 1 => UNS * INC # H2: 8 => UNS * INC # I2: 8 # G5: 5,7 => UNS * INC # I2: 8 # I5: 5,7 => UNS * INC # I2: 8 # G6: 5,7 => UNS * INC # I2: 8 # E4: 5,7 => UNS * INC # I2: 8 # E4: 4,8 => UNS * INC # I2: 8 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for A3,C3: 7..:
* INC # A3: 7 # B5: 1,6 => UNS * INC # A3: 7 # B5: 5,9 => UNS * INC # A3: 7 # A7: 1,6 => UNS * INC # A3: 7 # A7: 2,4 => UNS * INC # A3: 7 => UNS * INC # C3: 7 # B4: 1,2 => UNS * INC # C3: 7 # B4: 4,5 => UNS * INC # C3: 7 # C1: 1,2 => UNS * INC # C3: 7 # C7: 1,2 => UNS * INC # C3: 7 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for D7,E7: 5..:
* INC # D7: 5 # E8: 4,9 => UNS * INC # D7: 5 # F8: 4,9 => UNS * INC # D7: 5 # D9: 4,9 => UNS * INC # D7: 5 # F9: 4,9 => UNS * INC # D7: 5 # I7: 4,9 => UNS * INC # D7: 5 # I7: 6 => UNS * INC # D7: 5 # E3: 4,9 => UNS * INC # D7: 5 # E6: 4,9 => UNS * INC # D7: 5 => UNS * INC # E7: 5 # D3: 3,4 => UNS * INC # E7: 5 # E3: 3,4 => UNS * INC # E7: 5 # I1: 3,4 => UNS * INC # E7: 5 # I1: 5 => UNS * INC # E7: 5 # E6: 3,4 => UNS * INC # E7: 5 # E6: 7,8,9 => UNS * INC # E7: 5 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for A9,D9: 8..:
* INC # A9: 8 # A7: 1,4 => UNS * INC # A9: 8 # B8: 1,4 => UNS * INC # A9: 8 # G8: 1,4 => UNS * INC # A9: 8 # G8: 3,7 => UNS * INC # A9: 8 => UNS * INC # D9: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for A8,E8: 8..:
* INC # E8: 8 # A7: 1,4 => UNS * INC # E8: 8 # B8: 1,4 => UNS * INC # E8: 8 # G8: 1,4 => UNS * INC # E8: 8 # G8: 3,7 => UNS * INC # E8: 8 => UNS * INC # A8: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for E8,D9: 8..:
* INC # E8: 8 # A7: 1,4 => UNS * INC # E8: 8 # B8: 1,4 => UNS * INC # E8: 8 # G8: 1,4 => UNS * INC # E8: 8 # G8: 3,7 => UNS * INC # E8: 8 => UNS * INC # D9: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for A8,A9: 8..:
* INC # A9: 8 # A7: 1,4 => UNS * INC # A9: 8 # B8: 1,4 => UNS * INC # A9: 8 # G8: 1,4 => UNS * INC # A9: 8 # G8: 3,7 => UNS * INC # A9: 8 => UNS * INC # A8: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for H6,H7: 6..:
* INC # H7: 6 # C4: 1,7 => UNS * INC # H7: 6 # C4: 2 => UNS * INC # H7: 6 # F5: 1,7 => UNS * INC # H7: 6 # F5: 5,9 => UNS * INC # H7: 6 # A3: 1,7 => UNS * INC # H7: 6 # A3: 2,6 => UNS * INC # H7: 6 # A9: 4,8 => UNS * INC # H7: 6 # A9: 2,6 => UNS * INC # H7: 6 # E8: 4,8 => UNS * INC # H7: 6 # E8: 7,9 => UNS * INC # H7: 6 # I9: 4,9 => UNS * INC # H7: 6 # I9: 3,7 => UNS * INC # H7: 6 # D7: 4,9 => UNS * INC # H7: 6 # E7: 4,9 => UNS * INC # H7: 6 # I3: 4,9 => UNS * INC # H7: 6 # I3: 3,5 => UNS * INC # H7: 6 # C4: 1,7 # B2: 2,3 => UNS * INC # H7: 6 # C4: 1,7 # B3: 2,3 => UNS * INC # H7: 6 # C4: 1,7 # C3: 2,3 => UNS * INC # H7: 6 # C4: 1,7 # H1: 2,3 => UNS * INC # H7: 6 # C4: 1,7 # H1: 1 => UNS * INC # H7: 6 # C4: 1,7 # C9: 2,3 => UNS * INC # H7: 6 # C4: 1,7 # C9: 6,9 => UNS * INC # H7: 6 # C4: 1,7 # F5: 1,7 => UNS * INC # H7: 6 # C4: 1,7 # F5: 5,9 => UNS * INC # H7: 6 # C4: 1,7 # B6: 5,9 => UNS * INC # H7: 6 # C4: 1,7 # B6: 2,4,6 => UNS * INC # H7: 6 # C4: 1,7 # D5: 5,9 => UNS * INC # H7: 6 # C4: 1,7 # F5: 5,9 => UNS * INC # H7: 6 # C4: 1,7 # A9: 4,8 => UNS * INC # H7: 6 # C4: 1,7 # A9: 2,6 => UNS * INC # H7: 6 # C4: 1,7 # E8: 4,8 => UNS * INC # H7: 6 # C4: 1,7 # E8: 7,9 => UNS * INC # H7: 6 # C4: 1,7 # I9: 4,9 => UNS * INC # H7: 6 # C4: 1,7 # I9: 3,7 => UNS * INC # H7: 6 # C4: 1,7 # D7: 4,9 => UNS * INC # H7: 6 # C4: 1,7 # E7: 4,9 => UNS * INC # H7: 6 # C4: 1,7 # I3: 4,9 => UNS * INC # H7: 6 # C4: 1,7 # I3: 3,5 => UNS * INC # H7: 6 # C4: 1,7 => UNS * INC # H7: 6 # C4: 2 # B2: 1,3 => UNS * INC # H7: 6 # C4: 2 # B3: 1,3 => UNS * DIS # H7: 6 # C4: 2 # C3: 1,3 => CTR => C3: 6,7 * INC # H7: 6 # C4: 2 + C3: 6,7 # H1: 1,3 => UNS * INC # H7: 6 # C4: 2 + C3: 6,7 # H1: 2 => UNS * INC # H7: 6 # C4: 2 + C3: 6,7 # B2: 1,3 => UNS * INC # H7: 6 # C4: 2 + C3: 6,7 # B3: 1,3 => UNS * INC # H7: 6 # C4: 2 + C3: 6,7 # H1: 1,3 => UNS * INC # H7: 6 # C4: 2 + C3: 6,7 # H1: 2 => UNS * INC # H7: 6 # C4: 2 + C3: 6,7 # F5: 1,7 => UNS * INC # H7: 6 # C4: 2 + C3: 6,7 # F5: 5,9 => UNS * INC # H7: 6 # C4: 2 + C3: 6,7 # A3: 1,7 => UNS * INC # H7: 6 # C4: 2 + C3: 6,7 # A3: 2,6 => UNS * INC # H7: 6 # C4: 2 + C3: 6,7 # I4: 7,8 => UNS * PRF # H7: 6 # C4: 2 + C3: 6,7 # H6: 7,8 => SOL * STA # H7: 6 # C4: 2 + C3: 6,7 + H6: 7,8 * CNT 55 HDP CHAINS / 57 HYP OPENED