Analysis of xx-ph-00018022-Kz1_b-base.sdk
Contents
Original Sudoku
level: deep
position: 98.76....75....6....6......4..3...6...5.9.7.......2..1..7.8.9.....1...3......4..2 initial
Autosolve
position: 98.76....75....6....6......4..3...6...5.9.7.......2..1..7.8.9.....1...3......4..2 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for B6,E6: 7..:
* DIS # E6: 7 # E3: 1,5 => CTR => E3: 2,3,4 * DIS # E6: 7 + E3: 2,3,4 # H7: 4,5 => CTR => H7: 1 * DIS # E6: 7 + E3: 2,3,4 + H7: 1 # G8: 8 => CTR => G8: 4,5 * PRF # E6: 7 + E3: 2,3,4 + H7: 1 + G8: 4,5 # I1: 3 => SOL * STA # E6: 7 + E3: 2,3,4 + H7: 1 + G8: 4,5 + I1: 3 * CNT 4 HDP CHAINS / 26 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....75....6....6......4..3...6...5.9.7.......2..1..7.8.9.....1...3......4..2 | initial |
| 98.76....75....6....6......4..3...6...5.9.7.......2..1..7.8.9.....1...3......4..2 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G4,H5: 2.. / G4 = 2 => 1 pairs (_) / H5 = 2 => 1 pairs (_) D7,E8: 2.. / D7 = 2 => 1 pairs (_) / E8 = 2 => 1 pairs (_) I5,G6: 3.. / I5 = 3 => 1 pairs (_) / G6 = 3 => 3 pairs (_) F7,E9: 3.. / F7 = 3 => 2 pairs (_) / E9 = 3 => 1 pairs (_) I7,I8: 6.. / I7 = 6 => 6 pairs (_) / I8 = 6 => 3 pairs (_) H3,I3: 7.. / H3 = 7 => 7 pairs (_) / I3 = 7 => 1 pairs (_) B4,B6: 7.. / B4 = 7 => 6 pairs (_) / B6 = 7 => 1 pairs (_) I8,H9: 7.. / I8 = 7 => 7 pairs (_) / H9 = 7 => 1 pairs (_) B6,E6: 7.. / B6 = 7 => 1 pairs (_) / E6 = 7 => 6 pairs (_) E9,H9: 7.. / E9 = 7 => 7 pairs (_) / H9 = 7 => 1 pairs (_) F4,F8: 7.. / F4 = 7 => 2 pairs (_) / F8 = 7 => 4 pairs (_) H3,H9: 7.. / H3 = 7 => 7 pairs (_) / H9 = 7 => 1 pairs (_) I3,I8: 7.. / I3 = 7 => 1 pairs (_) / I8 = 7 => 7 pairs (_) I4,H6: 9.. / I4 = 9 => 0 pairs (_) / H6 = 9 => 2 pairs (_) F8,D9: 9.. / F8 = 9 => 3 pairs (_) / D9 = 9 => 0 pairs (_) * DURATION: 0:00:10.363003 START: 16:21:42.461760 END: 16:21:52.824763 2020-12-05 * CP COUNT: (15) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I3,I8: 7.. / I3 = 7 ==> 1 pairs (_) / I8 = 7 ==> 7 pairs (_) H3,H9: 7.. / H3 = 7 ==> 7 pairs (_) / H9 = 7 ==> 1 pairs (_) E9,H9: 7.. / E9 = 7 ==> 7 pairs (_) / H9 = 7 ==> 1 pairs (_) I8,H9: 7.. / I8 = 7 ==> 7 pairs (_) / H9 = 7 ==> 1 pairs (_) H3,I3: 7.. / H3 = 7 ==> 7 pairs (_) / I3 = 7 ==> 1 pairs (_) I7,I8: 6.. / I7 = 6 ==> 6 pairs (_) / I8 = 6 ==> 3 pairs (_) B6,E6: 7.. / B6 = 7 => 0 pairs (X) / E6 = 7 ==> 0 pairs (*) * DURATION: 0:01:34.174016 START: 16:21:52.825511 END: 16:23:26.999527 2020-12-05 * REASONING B6,E6: 7.. * DIS # E6: 7 # E3: 1,5 => CTR => E3: 2,3,4 * DIS # E6: 7 + E3: 2,3,4 # H7: 4,5 => CTR => H7: 1 * DIS # E6: 7 + E3: 2,3,4 + H7: 1 # G8: 8 => CTR => G8: 4,5 * PRF # E6: 7 + E3: 2,3,4 + H7: 1 + G8: 4,5 # I1: 3 => SOL * STA # E6: 7 + E3: 2,3,4 + H7: 1 + G8: 4,5 + I1: 3 * CNT 4 HDP CHAINS / 26 HYP OPENED * DCP COUNT: (7) * SOLUTION FOUND
Header Info
18022;Kz1 b;GP;23;11.30;11.30;8.90
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I3,I8: 7..:
* INC # I8: 7 # F3: 1,5 => UNS * INC # I8: 7 # F3: 8,9 => UNS * INC # I8: 7 # G1: 1,5 => UNS * INC # I8: 7 # H1: 1,5 => UNS * INC # I8: 7 # D6: 4,5 => UNS * INC # I8: 7 # D6: 6,8 => UNS * INC # I8: 7 # G6: 4,5 => UNS * INC # I8: 7 # H6: 4,5 => UNS * INC # I8: 7 # A7: 2,5 => UNS * INC # I8: 7 # A7: 1 => UNS * INC # I8: 7 # A8: 2,5 => UNS * INC # I8: 7 # A8: 6,8 => UNS * INC # I8: 7 # B8: 6,9 => UNS * INC # I8: 7 # B8: 2,4 => UNS * INC # I8: 7 # B9: 6,9 => UNS * INC # I8: 7 # B9: 1,3 => UNS * INC # I8: 7 => UNS * INC # I3: 7 # F7: 3,5 => UNS * INC # I3: 7 # F7: 6 => UNS * INC # I3: 7 # A9: 3,5 => UNS * INC # I3: 7 # A9: 1,6,8 => UNS * INC # I3: 7 # E3: 3,5 => UNS * INC # I3: 7 # E3: 1,2,4 => UNS * INC # I3: 7 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for H3,H9: 7..:
* INC # H3: 7 # F3: 1,5 => UNS * INC # H3: 7 # F3: 8,9 => UNS * INC # H3: 7 # G1: 1,5 => UNS * INC # H3: 7 # H1: 1,5 => UNS * INC # H3: 7 # D6: 4,5 => UNS * INC # H3: 7 # D6: 6,8 => UNS * INC # H3: 7 # G6: 4,5 => UNS * INC # H3: 7 # H6: 4,5 => UNS * INC # H3: 7 # A7: 2,5 => UNS * INC # H3: 7 # A7: 1 => UNS * INC # H3: 7 # A8: 2,5 => UNS * INC # H3: 7 # A8: 6,8 => UNS * INC # H3: 7 # B8: 6,9 => UNS * INC # H3: 7 # B8: 2,4 => UNS * INC # H3: 7 # B9: 6,9 => UNS * INC # H3: 7 # B9: 1,3 => UNS * INC # H3: 7 => UNS * INC # H9: 7 # F7: 3,5 => UNS * INC # H9: 7 # F7: 6 => UNS * INC # H9: 7 # A9: 3,5 => UNS * INC # H9: 7 # A9: 1,6,8 => UNS * INC # H9: 7 # E3: 3,5 => UNS * INC # H9: 7 # E3: 1,2,4 => UNS * INC # H9: 7 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for E9,H9: 7..:
* INC # E9: 7 # F3: 1,5 => UNS * INC # E9: 7 # F3: 8,9 => UNS * INC # E9: 7 # G1: 1,5 => UNS * INC # E9: 7 # H1: 1,5 => UNS * INC # E9: 7 # D6: 4,5 => UNS * INC # E9: 7 # D6: 6,8 => UNS * INC # E9: 7 # G6: 4,5 => UNS * INC # E9: 7 # H6: 4,5 => UNS * INC # E9: 7 # A7: 2,5 => UNS * INC # E9: 7 # A7: 1 => UNS * INC # E9: 7 # A8: 2,5 => UNS * INC # E9: 7 # A8: 6,8 => UNS * INC # E9: 7 # B8: 6,9 => UNS * INC # E9: 7 # B8: 2,4 => UNS * INC # E9: 7 # B9: 6,9 => UNS * INC # E9: 7 # B9: 1,3 => UNS * INC # E9: 7 => UNS * INC # H9: 7 # F7: 3,5 => UNS * INC # H9: 7 # F7: 6 => UNS * INC # H9: 7 # A9: 3,5 => UNS * INC # H9: 7 # A9: 1,6,8 => UNS * INC # H9: 7 # E3: 3,5 => UNS * INC # H9: 7 # E3: 1,2,4 => UNS * INC # H9: 7 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for I8,H9: 7..:
* INC # I8: 7 # F3: 1,5 => UNS * INC # I8: 7 # F3: 8,9 => UNS * INC # I8: 7 # G1: 1,5 => UNS * INC # I8: 7 # H1: 1,5 => UNS * INC # I8: 7 # D6: 4,5 => UNS * INC # I8: 7 # D6: 6,8 => UNS * INC # I8: 7 # G6: 4,5 => UNS * INC # I8: 7 # H6: 4,5 => UNS * INC # I8: 7 # A7: 2,5 => UNS * INC # I8: 7 # A7: 1 => UNS * INC # I8: 7 # A8: 2,5 => UNS * INC # I8: 7 # A8: 6,8 => UNS * INC # I8: 7 # B8: 6,9 => UNS * INC # I8: 7 # B8: 2,4 => UNS * INC # I8: 7 # B9: 6,9 => UNS * INC # I8: 7 # B9: 1,3 => UNS * INC # I8: 7 => UNS * INC # H9: 7 # F7: 3,5 => UNS * INC # H9: 7 # F7: 6 => UNS * INC # H9: 7 # A9: 3,5 => UNS * INC # H9: 7 # A9: 1,6,8 => UNS * INC # H9: 7 # E3: 3,5 => UNS * INC # H9: 7 # E3: 1,2,4 => UNS * INC # H9: 7 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for H3,I3: 7..:
* INC # H3: 7 # F3: 1,5 => UNS * INC # H3: 7 # F3: 8,9 => UNS * INC # H3: 7 # G1: 1,5 => UNS * INC # H3: 7 # H1: 1,5 => UNS * INC # H3: 7 # D6: 4,5 => UNS * INC # H3: 7 # D6: 6,8 => UNS * INC # H3: 7 # G6: 4,5 => UNS * INC # H3: 7 # H6: 4,5 => UNS * INC # H3: 7 # A7: 2,5 => UNS * INC # H3: 7 # A7: 1 => UNS * INC # H3: 7 # A8: 2,5 => UNS * INC # H3: 7 # A8: 6,8 => UNS * INC # H3: 7 # B8: 6,9 => UNS * INC # H3: 7 # B8: 2,4 => UNS * INC # H3: 7 # B9: 6,9 => UNS * INC # H3: 7 # B9: 1,3 => UNS * INC # H3: 7 => UNS * INC # I3: 7 # F7: 3,5 => UNS * INC # I3: 7 # F7: 6 => UNS * INC # I3: 7 # A9: 3,5 => UNS * INC # I3: 7 # A9: 1,6,8 => UNS * INC # I3: 7 # E3: 3,5 => UNS * INC # I3: 7 # E3: 1,2,4 => UNS * INC # I3: 7 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for I7,I8: 6..:
* INC # I7: 6 # E3: 1,5 => UNS * INC # I7: 6 # E3: 2,3,4 => UNS * INC # I7: 6 # D6: 4,5 => UNS * INC # I7: 6 # D6: 6,8 => UNS * INC # I7: 6 # G6: 4,5 => UNS * INC # I7: 6 # H6: 4,5 => UNS * INC # I7: 6 # E3: 4,5 => UNS * INC # I7: 6 # E3: 1,2,3 => UNS * INC # I7: 6 # E8: 2,5 => UNS * INC # I7: 6 # E8: 7 => UNS * INC # I7: 6 # A7: 2,5 => UNS * INC # I7: 6 # A7: 1,3 => UNS * INC # I7: 6 # D3: 2,5 => UNS * INC # I7: 6 # D3: 4,8,9 => UNS * INC # I7: 6 # E9: 3,5 => UNS * INC # I7: 6 # E9: 7 => UNS * INC # I7: 6 # A7: 3,5 => UNS * INC # I7: 6 # A7: 1,2 => UNS * INC # I7: 6 # F1: 3,5 => UNS * INC # I7: 6 # F3: 3,5 => UNS * INC # I7: 6 # B8: 6,9 => UNS * INC # I7: 6 # B8: 2,4 => UNS * INC # I7: 6 # B9: 6,9 => UNS * INC # I7: 6 # B9: 1,3 => UNS * INC # I7: 6 => UNS * INC # I8: 6 # G1: 2,5 => UNS * INC # I8: 6 # G3: 2,5 => UNS * INC # I8: 6 # F7: 3,5 => UNS * INC # I8: 6 # F7: 6 => UNS * INC # I8: 6 # A9: 3,5 => UNS * INC # I8: 6 # A9: 1,6,8 => UNS * INC # I8: 6 # E3: 3,5 => UNS * INC # I8: 6 # E3: 1,2,4 => UNS * INC # I8: 6 # H7: 4,5 => UNS * INC # I8: 6 # G8: 4,5 => UNS * INC # I8: 6 # I1: 4,5 => UNS * INC # I8: 6 # I1: 3 => UNS * INC # I8: 6 => UNS * CNT 38 HDP CHAINS / 38 HYP OPENED
Full list of HDP chains traversed for B6,E6: 7..:
* INC # E6: 7 # D3: 2,8 => UNS * INC # E6: 7 # D3: 5 => UNS * INC # E6: 7 # H2: 2,8 => UNS * INC # E6: 7 # H2: 1,4,9 => UNS * INC # E6: 7 # F4: 1,5 => UNS * INC # E6: 7 # F4: 8 => UNS * DIS # E6: 7 # E3: 1,5 => CTR => E3: 2,3,4 * INC # E6: 7 + E3: 2,3,4 # F4: 1,5 => UNS * INC # E6: 7 + E3: 2,3,4 # F4: 8 => UNS * INC # E6: 7 + E3: 2,3,4 # G1: 2,5 => UNS * INC # E6: 7 + E3: 2,3,4 # G3: 2,5 => UNS * INC # E6: 7 + E3: 2,3,4 # D7: 2,5 => UNS * INC # E6: 7 + E3: 2,3,4 # D7: 6 => UNS * INC # E6: 7 + E3: 2,3,4 # A8: 2,5 => UNS * INC # E6: 7 + E3: 2,3,4 # A8: 8 => UNS * INC # E6: 7 + E3: 2,3,4 # F7: 3,5 => UNS * INC # E6: 7 + E3: 2,3,4 # F7: 6 => UNS * INC # E6: 7 + E3: 2,3,4 # A9: 3,5 => UNS * INC # E6: 7 + E3: 2,3,4 # A9: 1,6,8 => UNS * DIS # E6: 7 + E3: 2,3,4 # H7: 4,5 => CTR => H7: 1 * INC # E6: 7 + E3: 2,3,4 + H7: 1 # G8: 4,5 => UNS * INC # E6: 7 + E3: 2,3,4 + H7: 1 # G8: 4,5 => UNS * DIS # E6: 7 + E3: 2,3,4 + H7: 1 # G8: 8 => CTR => G8: 4,5 * INC # E6: 7 + E3: 2,3,4 + H7: 1 + G8: 4,5 # I1: 4,5 => UNS * PRF # E6: 7 + E3: 2,3,4 + H7: 1 + G8: 4,5 # I1: 3 => SOL * STA # E6: 7 + E3: 2,3,4 + H7: 1 + G8: 4,5 + I1: 3 * CNT 25 HDP CHAINS / 26 HYP OPENED