Analysis of xx-ph-00017997-Kz1_b-base.sdk
Contents
Original Sudoku
level: deep
position: 98.76....7.....9...56....8.4..3..7...2......5.....8.1...9.4.6.....63.........1..2 initial
Autosolve
position: 98.76....7.....9...56....874..3..7...2......5.....8.1...9.4.6.....63.........1..2 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for C4,I4: 8..:
* DIS # I4: 8 # G1: 3,4 => CTR => G1: 1,2,5 * DIS # C4: 8 # H4: 6,9 => CTR => H4: 2 * CNT 2 HDP CHAINS / 48 HYP OPENED
List of important HDP chains detected for I4,G5: 8..:
* DIS # I4: 8 # G1: 3,4 => CTR => G1: 1,2,5 * DIS # G5: 8 # H4: 6,9 => CTR => H4: 2 * CNT 2 HDP CHAINS / 48 HYP OPENED
List of important HDP chains detected for A9,B9: 6..:
* PRF # A9: 6 # I6: 3,4 => SOL * STA # A9: 6 + I6: 3,4 * CNT 1 HDP CHAINS / 10 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
| 98.76....7.....9...56....8.4..3..7...2......5.....8.1...9.4.6.....63.........1..2 | initial |
| 98.76....7.....9...56....874..3..7...2......5.....8.1...9.4.6.....63.........1..2 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H4,G6: 2.. / H4 = 2 => 1 pairs (_) / G6 = 2 => 1 pairs (_) H2,I2: 6.. / H2 = 6 => 1 pairs (_) / I2 = 6 => 2 pairs (_) F4,F5: 6.. / F4 = 6 => 3 pairs (_) / F5 = 6 => 0 pairs (_) A9,B9: 6.. / A9 = 6 => 3 pairs (_) / B9 = 6 => 1 pairs (_) D2,E2: 8.. / D2 = 8 => 2 pairs (_) / E2 = 8 => 0 pairs (_) I4,G5: 8.. / I4 = 8 => 3 pairs (_) / G5 = 8 => 1 pairs (_) C4,I4: 8.. / C4 = 8 => 1 pairs (_) / I4 = 8 => 3 pairs (_) E2,E9: 8.. / E2 = 8 => 0 pairs (_) / E9 = 8 => 2 pairs (_) B4,B6: 9.. / B4 = 9 => 2 pairs (_) / B6 = 9 => 1 pairs (_) * DURATION: 0:00:05.909079 START: 15:21:10.773346 END: 15:21:16.682425 2020-12-05 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C4,I4: 8.. / C4 = 8 ==> 2 pairs (_) / I4 = 8 ==> 3 pairs (_) I4,G5: 8.. / I4 = 8 ==> 3 pairs (_) / G5 = 8 ==> 2 pairs (_) A9,B9: 6.. / A9 = 6 ==> 0 pairs (*) / B9 = 6 => 0 pairs (X) * DURATION: 0:00:53.971156 START: 15:21:16.683077 END: 15:22:10.654233 2020-12-05 * REASONING C4,I4: 8.. * DIS # I4: 8 # G1: 3,4 => CTR => G1: 1,2,5 * DIS # C4: 8 # H4: 6,9 => CTR => H4: 2 * CNT 2 HDP CHAINS / 48 HYP OPENED * REASONING I4,G5: 8.. * DIS # I4: 8 # G1: 3,4 => CTR => G1: 1,2,5 * DIS # G5: 8 # H4: 6,9 => CTR => H4: 2 * CNT 2 HDP CHAINS / 48 HYP OPENED * REASONING A9,B9: 6.. * PRF # A9: 6 # I6: 3,4 => SOL * STA # A9: 6 + I6: 3,4 * CNT 1 HDP CHAINS / 10 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
17997;Kz1 b;GP;23;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C4,I4: 8..:
* INC # I4: 8 # E4: 1,5 => UNS * INC # I4: 8 # E4: 2,9 => UNS * INC # I4: 8 # C8: 1,5 => UNS * INC # I4: 8 # C8: 2,4,7,8 => UNS * INC # I4: 8 # H5: 3,4 => UNS * INC # I4: 8 # G6: 3,4 => UNS * INC # I4: 8 # I6: 3,4 => UNS * DIS # I4: 8 # G1: 3,4 => CTR => G1: 1,2,5 * INC # I4: 8 + G1: 1,2,5 # G3: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # G9: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # H5: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # G6: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # I6: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # G3: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # G9: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # A7: 1,3 => UNS * INC # I4: 8 + G1: 1,2,5 # B7: 1,3 => UNS * INC # I4: 8 + G1: 1,2,5 # I1: 1,3 => UNS * INC # I4: 8 + G1: 1,2,5 # I2: 1,3 => UNS * INC # I4: 8 + G1: 1,2,5 # E4: 1,5 => UNS * INC # I4: 8 + G1: 1,2,5 # E4: 2,9 => UNS * INC # I4: 8 + G1: 1,2,5 # C8: 1,5 => UNS * INC # I4: 8 + G1: 1,2,5 # C8: 2,4,7,8 => UNS * INC # I4: 8 + G1: 1,2,5 # H5: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # G6: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # I6: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # G3: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # G9: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # A7: 1,3 => UNS * INC # I4: 8 + G1: 1,2,5 # B7: 1,3 => UNS * INC # I4: 8 + G1: 1,2,5 # I1: 1,3 => UNS * INC # I4: 8 + G1: 1,2,5 # I2: 1,3 => UNS * INC # I4: 8 + G1: 1,2,5 => UNS * DIS # C4: 8 # H4: 6,9 => CTR => H4: 2 * INC # C4: 8 + H4: 2 # H5: 6,9 => UNS * INC # C4: 8 + H4: 2 # I6: 6,9 => UNS * INC # C4: 8 + H4: 2 # B4: 6,9 => UNS * INC # C4: 8 + H4: 2 # F4: 6,9 => UNS * INC # C4: 8 + H4: 2 # H5: 6,9 => UNS * INC # C4: 8 + H4: 2 # I6: 6,9 => UNS * INC # C4: 8 + H4: 2 # B4: 6,9 => UNS * INC # C4: 8 + H4: 2 # F4: 6,9 => UNS * INC # C4: 8 + H4: 2 # H5: 3,4 => UNS * INC # C4: 8 + H4: 2 # I6: 3,4 => UNS * INC # C4: 8 + H4: 2 # G1: 3,4 => UNS * INC # C4: 8 + H4: 2 # G3: 3,4 => UNS * INC # C4: 8 + H4: 2 # G9: 3,4 => UNS * INC # C4: 8 + H4: 2 => UNS * CNT 48 HDP CHAINS / 48 HYP OPENED
Full list of HDP chains traversed for I4,G5: 8..:
* INC # I4: 8 # E4: 1,5 => UNS * INC # I4: 8 # E4: 2,9 => UNS * INC # I4: 8 # C8: 1,5 => UNS * INC # I4: 8 # C8: 2,4,7,8 => UNS * INC # I4: 8 # H5: 3,4 => UNS * INC # I4: 8 # G6: 3,4 => UNS * INC # I4: 8 # I6: 3,4 => UNS * DIS # I4: 8 # G1: 3,4 => CTR => G1: 1,2,5 * INC # I4: 8 + G1: 1,2,5 # G3: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # G9: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # H5: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # G6: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # I6: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # G3: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # G9: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # A7: 1,3 => UNS * INC # I4: 8 + G1: 1,2,5 # B7: 1,3 => UNS * INC # I4: 8 + G1: 1,2,5 # I1: 1,3 => UNS * INC # I4: 8 + G1: 1,2,5 # I2: 1,3 => UNS * INC # I4: 8 + G1: 1,2,5 # E4: 1,5 => UNS * INC # I4: 8 + G1: 1,2,5 # E4: 2,9 => UNS * INC # I4: 8 + G1: 1,2,5 # C8: 1,5 => UNS * INC # I4: 8 + G1: 1,2,5 # C8: 2,4,7,8 => UNS * INC # I4: 8 + G1: 1,2,5 # H5: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # G6: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # I6: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # G3: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # G9: 3,4 => UNS * INC # I4: 8 + G1: 1,2,5 # A7: 1,3 => UNS * INC # I4: 8 + G1: 1,2,5 # B7: 1,3 => UNS * INC # I4: 8 + G1: 1,2,5 # I1: 1,3 => UNS * INC # I4: 8 + G1: 1,2,5 # I2: 1,3 => UNS * INC # I4: 8 + G1: 1,2,5 => UNS * DIS # G5: 8 # H4: 6,9 => CTR => H4: 2 * INC # G5: 8 + H4: 2 # H5: 6,9 => UNS * INC # G5: 8 + H4: 2 # I6: 6,9 => UNS * INC # G5: 8 + H4: 2 # B4: 6,9 => UNS * INC # G5: 8 + H4: 2 # F4: 6,9 => UNS * INC # G5: 8 + H4: 2 # H5: 6,9 => UNS * INC # G5: 8 + H4: 2 # I6: 6,9 => UNS * INC # G5: 8 + H4: 2 # B4: 6,9 => UNS * INC # G5: 8 + H4: 2 # F4: 6,9 => UNS * INC # G5: 8 + H4: 2 # H5: 3,4 => UNS * INC # G5: 8 + H4: 2 # I6: 3,4 => UNS * INC # G5: 8 + H4: 2 # G1: 3,4 => UNS * INC # G5: 8 + H4: 2 # G3: 3,4 => UNS * INC # G5: 8 + H4: 2 # G9: 3,4 => UNS * INC # G5: 8 + H4: 2 => UNS * CNT 48 HDP CHAINS / 48 HYP OPENED
Full list of HDP chains traversed for A9,B9: 6..:
* INC # A9: 6 # F4: 6,9 => UNS * INC # A9: 6 # H4: 6,9 => UNS * INC # A9: 6 # I4: 6,9 => UNS * INC # A9: 6 # C6: 3,5 => UNS * INC # A9: 6 # C6: 7 => UNS * INC # A9: 6 # A7: 3,5 => UNS * INC # A9: 6 # A7: 1,2,8 => UNS * INC # A9: 6 # I6: 6,9 => UNS * PRF # A9: 6 # I6: 3,4 => SOL * STA # A9: 6 + I6: 3,4 * CNT 9 HDP CHAINS / 10 HYP OPENED