Analysis of xx-ph-00019850-KZ1C-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6....5.4.......9...3.6.....9...3.....8...2.5...1.2..7.1....75.1........4..7 initial
Autosolve
position: 98.7..6....5.4.......9...3.6.....9...3.....8...2.5...1.2..7.1....75.1........4..7 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for H2,I2: 9..:
* DIS # H2: 9 # I8: 2,8 => CTR => I8: 3,4,6,9 * CNT 1 HDP CHAINS / 46 HYP OPENED
List of important HDP chains detected for C1,A2: 3..:
* DIS # A2: 3 # C3: 1,4 => CTR => C3: 6 * DIS # A2: 3 + C3: 6 # C4: 1,4 => CTR => C4: 8 * DIS # A2: 3 + C3: 6 + C4: 8 # C5: 9 => CTR => C5: 1,4 * DIS # A2: 3 + C3: 6 + C4: 8 + C5: 1,4 # B3: 7 => CTR => B3: 1,4 * DIS # A2: 3 + C3: 6 + C4: 8 + C5: 1,4 + B3: 1,4 # A7: 4,8 => CTR => A7: 5 * PRF # A2: 3 + C3: 6 + C4: 8 + C5: 1,4 + B3: 1,4 + A7: 5 => SOL * STA A2: 3 * CNT 6 HDP CHAINS / 16 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
| 98.7..6....5.4.......9...3.6.....9...3.....8...2.5...1.2..7.1....75.1........4..7 | initial |
| 98.7..6....5.4.......9...3.6.....9...3.....8...2.5...1.2..7.1....75.1........4..7 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H1,H2: 1.. / H1 = 1 => 2 pairs (_) / H2 = 1 => 2 pairs (_) A2,A3: 2.. / A2 = 2 => 4 pairs (_) / A3 = 2 => 0 pairs (_) C1,A2: 3.. / C1 = 3 => 2 pairs (_) / A2 = 3 => 3 pairs (_) I4,G6: 3.. / I4 = 3 => 1 pairs (_) / G6 = 3 => 0 pairs (_) F1,F3: 5.. / F1 = 5 => 1 pairs (_) / F3 = 5 => 1 pairs (_) B4,A5: 5.. / B4 = 5 => 0 pairs (_) / A5 = 5 => 2 pairs (_) B4,B9: 5.. / B4 = 5 => 0 pairs (_) / B9 = 5 => 2 pairs (_) I5,H6: 6.. / I5 = 6 => 1 pairs (_) / H6 = 6 => 0 pairs (_) C4,A6: 8.. / C4 = 8 => 1 pairs (_) / A6 = 8 => 2 pairs (_) H2,I2: 9.. / H2 = 9 => 4 pairs (_) / I2 = 9 => 0 pairs (_) C5,B6: 9.. / C5 = 9 => 1 pairs (_) / B6 = 9 => 2 pairs (_) B6,F6: 9.. / B6 = 9 => 2 pairs (_) / F6 = 9 => 1 pairs (_) * DURATION: 0:00:06.745824 START: 22:59:39.807866 END: 22:59:46.553690 2020-12-06 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H2,I2: 9.. / H2 = 9 ==> 4 pairs (_) / I2 = 9 ==> 0 pairs (_) A2,A3: 2.. / A2 = 2 ==> 4 pairs (_) / A3 = 2 ==> 0 pairs (_) C1,A2: 3.. / C1 = 3 => 0 pairs (X) / A2 = 3 ==> 0 pairs (*) * DURATION: 0:00:39.558146 START: 22:59:46.554298 END: 23:00:26.112444 2020-12-06 * REASONING H2,I2: 9.. * DIS # H2: 9 # I8: 2,8 => CTR => I8: 3,4,6,9 * CNT 1 HDP CHAINS / 46 HYP OPENED * REASONING C1,A2: 3.. * DIS # A2: 3 # C3: 1,4 => CTR => C3: 6 * DIS # A2: 3 + C3: 6 # C4: 1,4 => CTR => C4: 8 * DIS # A2: 3 + C3: 6 + C4: 8 # C5: 9 => CTR => C5: 1,4 * DIS # A2: 3 + C3: 6 + C4: 8 + C5: 1,4 # B3: 7 => CTR => B3: 1,4 * DIS # A2: 3 + C3: 6 + C4: 8 + C5: 1,4 + B3: 1,4 # A7: 4,8 => CTR => A7: 5 * PRF # A2: 3 + C3: 6 + C4: 8 + C5: 1,4 + B3: 1,4 + A7: 5 => SOL * STA A2: 3 * CNT 6 HDP CHAINS / 16 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
19850;KZ1C;GP;23;11.30;11.30;10.10
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H2,I2: 9..:
* INC # H2: 9 # C7: 3,4 => UNS * INC # H2: 9 # C7: 6,8,9 => UNS * INC # H2: 9 # F1: 2,3 => UNS * INC # H2: 9 # D2: 2,3 => UNS * INC # H2: 9 # F2: 2,3 => UNS * INC # H2: 9 # E4: 2,3 => UNS * INC # H2: 9 # E8: 2,3 => UNS * INC # H2: 9 # E9: 2,3 => UNS * INC # H2: 9 # G2: 2,8 => UNS * INC # H2: 9 # G3: 2,8 => UNS * INC # H2: 9 # I3: 2,8 => UNS * INC # H2: 9 # D2: 2,8 => UNS * INC # H2: 9 # F2: 2,8 => UNS * DIS # H2: 9 # I8: 2,8 => CTR => I8: 3,4,6,9 * INC # H2: 9 + I8: 3,4,6,9 # G2: 2,8 => UNS * INC # H2: 9 + I8: 3,4,6,9 # G3: 2,8 => UNS * INC # H2: 9 + I8: 3,4,6,9 # I3: 2,8 => UNS * INC # H2: 9 + I8: 3,4,6,9 # D2: 2,8 => UNS * INC # H2: 9 + I8: 3,4,6,9 # F2: 2,8 => UNS * INC # H2: 9 + I8: 3,4,6,9 # I4: 3,4 => UNS * INC # H2: 9 + I8: 3,4,6,9 # I4: 2,5 => UNS * INC # H2: 9 + I8: 3,4,6,9 # D6: 3,4 => UNS * INC # H2: 9 + I8: 3,4,6,9 # D6: 6,8 => UNS * INC # H2: 9 + I8: 3,4,6,9 # G8: 3,4 => UNS * INC # H2: 9 + I8: 3,4,6,9 # G8: 2,8 => UNS * INC # H2: 9 + I8: 3,4,6,9 # C7: 3,4 => UNS * INC # H2: 9 + I8: 3,4,6,9 # C7: 6,8,9 => UNS * INC # H2: 9 + I8: 3,4,6,9 # F1: 2,3 => UNS * INC # H2: 9 + I8: 3,4,6,9 # D2: 2,3 => UNS * INC # H2: 9 + I8: 3,4,6,9 # F2: 2,3 => UNS * INC # H2: 9 + I8: 3,4,6,9 # E4: 2,3 => UNS * INC # H2: 9 + I8: 3,4,6,9 # E8: 2,3 => UNS * INC # H2: 9 + I8: 3,4,6,9 # E9: 2,3 => UNS * INC # H2: 9 + I8: 3,4,6,9 # G2: 2,8 => UNS * INC # H2: 9 + I8: 3,4,6,9 # G3: 2,8 => UNS * INC # H2: 9 + I8: 3,4,6,9 # I3: 2,8 => UNS * INC # H2: 9 + I8: 3,4,6,9 # D2: 2,8 => UNS * INC # H2: 9 + I8: 3,4,6,9 # F2: 2,8 => UNS * INC # H2: 9 + I8: 3,4,6,9 # I4: 3,4 => UNS * INC # H2: 9 + I8: 3,4,6,9 # I4: 2,5 => UNS * INC # H2: 9 + I8: 3,4,6,9 # D6: 3,4 => UNS * INC # H2: 9 + I8: 3,4,6,9 # D6: 6,8 => UNS * INC # H2: 9 + I8: 3,4,6,9 # G8: 3,4 => UNS * INC # H2: 9 + I8: 3,4,6,9 # G8: 2,8 => UNS * INC # H2: 9 + I8: 3,4,6,9 => UNS * INC # I2: 9 => UNS * CNT 46 HDP CHAINS / 46 HYP OPENED
Full list of HDP chains traversed for A2,A3: 2..:
* INC # A2: 2 # E3: 1,2 => UNS * INC # A2: 2 # E3: 6,8 => UNS * INC # A2: 2 # H1: 1,2 => UNS * INC # A2: 2 # H1: 4,5 => UNS * INC # A2: 2 # E4: 1,2 => UNS * INC # A2: 2 # E5: 1,2 => UNS * INC # A2: 2 # F3: 2,5 => UNS * INC # A2: 2 # F3: 6,8 => UNS * INC # A2: 2 # H1: 2,5 => UNS * INC # A2: 2 # I1: 2,5 => UNS * INC # A2: 2 # G3: 7,8 => UNS * INC # A2: 2 # G3: 2,5 => UNS * INC # A2: 2 # I7: 8,9 => UNS * INC # A2: 2 # I8: 8,9 => UNS * INC # A2: 2 => UNS * INC # A3: 2 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for C1,A2: 3..:
* INC # A2: 3 # B3: 1,4 => UNS * DIS # A2: 3 # C3: 1,4 => CTR => C3: 6 * INC # A2: 3 + C3: 6 # B3: 1,4 => UNS * INC # A2: 3 + C3: 6 # B3: 7 => UNS * INC # A2: 3 + C3: 6 # H1: 1,4 => UNS * INC # A2: 3 + C3: 6 # H1: 2,5 => UNS * DIS # A2: 3 + C3: 6 # C4: 1,4 => CTR => C4: 8 * INC # A2: 3 + C3: 6 + C4: 8 # C5: 1,4 => UNS * INC # A2: 3 + C3: 6 + C4: 8 # C5: 1,4 => UNS * DIS # A2: 3 + C3: 6 + C4: 8 # C5: 9 => CTR => C5: 1,4 * INC # A2: 3 + C3: 6 + C4: 8 + C5: 1,4 # B3: 1,4 => UNS * DIS # A2: 3 + C3: 6 + C4: 8 + C5: 1,4 # B3: 7 => CTR => B3: 1,4 * INC # A2: 3 + C3: 6 + C4: 8 + C5: 1,4 + B3: 1,4 # H1: 1,4 => UNS * INC # A2: 3 + C3: 6 + C4: 8 + C5: 1,4 + B3: 1,4 # H1: 2,5 => UNS * DIS # A2: 3 + C3: 6 + C4: 8 + C5: 1,4 + B3: 1,4 # A7: 4,8 => CTR => A7: 5 * PRF # A2: 3 + C3: 6 + C4: 8 + C5: 1,4 + B3: 1,4 + A7: 5 => SOL * STA A2: 3 * CNT 16 HDP CHAINS / 16 HYP OPENED