Analysis of xx-ph-00019514-KZ1C-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....7...6......5..87..8....54....43...2.....4...1.7...49.....1...6.....2...3 initial
Autosolve
position: 98.7.....7...6......5..87..8....54....43...2.....4...1.7...49.....1...6.....2...3 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000013
List of important HDP chains detected for C4,C6: 7..:
* DIS # C4: 7 # E5: 1,9 => CTR => E5: 7,8 * DIS # C4: 7 + E5: 7,8 # B4: 1,9 => CTR => B4: 2,3,6 * DIS # C4: 7 + E5: 7,8 + B4: 2,3,6 # H6: 3,9 => CTR => H6: 5,7,8 * DIS # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 # I5: 6,9 => CTR => I5: 5,7,8 * DIS # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 + I5: 5,7,8 # E8: 3,5 => CTR => E8: 7,8,9 * PRF # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 + I5: 5,7,8 + E8: 7,8,9 # E7: 8 => SOL * STA # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 + I5: 5,7,8 + E8: 7,8,9 + E7: 8 * CNT 6 HDP CHAINS / 18 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.....7...6......5..87..8....54....43...2.....4...1.7...49.....1...6.....2...3 | initial |
| 98.7.....7...6......5..87..8....54....43...2.....4...1.7...49.....1...6.....2...3 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (2) I8: 4,7 H9: 4,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H7,G9: 1.. / H7 = 1 => 4 pairs (_) / G9 = 1 => 3 pairs (_) I7,G8: 2.. / I7 = 2 => 4 pairs (_) / G8 = 2 => 3 pairs (_) D2,D3: 4.. / D2 = 4 => 4 pairs (_) / D3 = 4 => 2 pairs (_) H1,I1: 4.. / H1 = 4 => 2 pairs (_) / I1 = 4 => 5 pairs (_) I8,H9: 4.. / I8 = 4 => 2 pairs (_) / H9 = 4 => 5 pairs (_) B2,D2: 4.. / B2 = 4 => 2 pairs (_) / D2 = 4 => 4 pairs (_) H1,H9: 4.. / H1 = 4 => 2 pairs (_) / H9 = 4 => 5 pairs (_) I1,I8: 4.. / I1 = 4 => 5 pairs (_) / I8 = 4 => 2 pairs (_) E1,D2: 5.. / E1 = 5 => 3 pairs (_) / D2 = 5 => 4 pairs (_) C4,C6: 7.. / C4 = 7 => 5 pairs (_) / C6 = 7 => 2 pairs (_) I8,H9: 7.. / I8 = 7 => 5 pairs (_) / H9 = 7 => 2 pairs (_) F9,H9: 7.. / F9 = 7 => 5 pairs (_) / H9 = 7 => 2 pairs (_) E5,D6: 8.. / E5 = 8 => 4 pairs (_) / D6 = 8 => 3 pairs (_) * DURATION: 0:00:10.981533 START: 19:06:21.493362 END: 19:06:32.474895 2020-12-06 * CP COUNT: (13) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F9,H9: 7.. / F9 = 7 ==> 5 pairs (_) / H9 = 7 ==> 2 pairs (_) I8,H9: 7.. / I8 = 7 ==> 5 pairs (_) / H9 = 7 ==> 2 pairs (_) C4,C6: 7.. / C4 = 7 ==> 0 pairs (*) / C6 = 7 => 0 pairs (X) * DURATION: 0:01:08.963877 START: 19:06:33.414522 END: 19:07:42.378399 2020-12-06 * REASONING C4,C6: 7.. * DIS # C4: 7 # E5: 1,9 => CTR => E5: 7,8 * DIS # C4: 7 + E5: 7,8 # B4: 1,9 => CTR => B4: 2,3,6 * DIS # C4: 7 + E5: 7,8 + B4: 2,3,6 # H6: 3,9 => CTR => H6: 5,7,8 * DIS # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 # I5: 6,9 => CTR => I5: 5,7,8 * DIS # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 + I5: 5,7,8 # E8: 3,5 => CTR => E8: 7,8,9 * PRF # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 + I5: 5,7,8 + E8: 7,8,9 # E7: 8 => SOL * STA # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 + I5: 5,7,8 + E8: 7,8,9 + E7: 8 * CNT 6 HDP CHAINS / 18 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
19514;KZ1C;GP;23;11.30;11.30;2.80
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F9,H9: 7..:
* INC # F9: 7 # F6: 2,9 => UNS * INC # F9: 7 # F6: 6 => UNS * INC # F9: 7 # B4: 2,9 => UNS * INC # F9: 7 # C4: 2,9 => UNS * INC # F9: 7 # D2: 2,9 => UNS * INC # F9: 7 # D3: 2,9 => UNS * INC # F9: 7 # F5: 1,9 => UNS * INC # F9: 7 # F5: 6 => UNS * INC # F9: 7 # B4: 1,9 => UNS * INC # F9: 7 # C4: 1,9 => UNS * INC # F9: 7 # E3: 1,9 => UNS * INC # F9: 7 # E3: 3 => UNS * INC # F9: 7 # I5: 6,9 => UNS * INC # F9: 7 # I5: 5,8 => UNS * INC # F9: 7 # B4: 6,9 => UNS * INC # F9: 7 # C4: 6,9 => UNS * INC # F9: 7 # I3: 6,9 => UNS * INC # F9: 7 # I3: 2 => UNS * INC # F9: 7 # D9: 5,6 => UNS * INC # F9: 7 # D9: 9 => UNS * INC # F9: 7 # A7: 5,6 => UNS * INC # F9: 7 # A7: 1,2,3 => UNS * INC # F9: 7 # E8: 3,9 => UNS * INC # F9: 7 # E8: 5,8 => UNS * INC # F9: 7 # B8: 3,9 => UNS * INC # F9: 7 # C8: 3,9 => UNS * INC # F9: 7 # F2: 3,9 => UNS * INC # F9: 7 # F2: 1,2 => UNS * INC # F9: 7 => UNS * INC # H9: 7 # H6: 3,9 => UNS * INC # H9: 7 # H6: 5,8 => UNS * INC # H9: 7 # B4: 3,9 => UNS * INC # H9: 7 # C4: 3,9 => UNS * INC # H9: 7 # H2: 3,9 => UNS * INC # H9: 7 # H3: 3,9 => UNS * INC # H9: 7 # D9: 6,9 => UNS * INC # H9: 7 # D9: 5,8 => UNS * INC # H9: 7 # B9: 6,9 => UNS * INC # H9: 7 # C9: 6,9 => UNS * INC # H9: 7 # F5: 6,9 => UNS * INC # H9: 7 # F6: 6,9 => UNS * INC # H9: 7 => UNS * CNT 42 HDP CHAINS / 42 HYP OPENED
Full list of HDP chains traversed for I8,H9: 7..:
* INC # I8: 7 # F6: 2,9 => UNS * INC # I8: 7 # F6: 6 => UNS * INC # I8: 7 # B4: 2,9 => UNS * INC # I8: 7 # C4: 2,9 => UNS * INC # I8: 7 # D2: 2,9 => UNS * INC # I8: 7 # D3: 2,9 => UNS * INC # I8: 7 # F5: 1,9 => UNS * INC # I8: 7 # F5: 6 => UNS * INC # I8: 7 # B4: 1,9 => UNS * INC # I8: 7 # C4: 1,9 => UNS * INC # I8: 7 # E3: 1,9 => UNS * INC # I8: 7 # E3: 3 => UNS * INC # I8: 7 # I5: 6,9 => UNS * INC # I8: 7 # I5: 5,8 => UNS * INC # I8: 7 # B4: 6,9 => UNS * INC # I8: 7 # C4: 6,9 => UNS * INC # I8: 7 # I3: 6,9 => UNS * INC # I8: 7 # I3: 2 => UNS * INC # I8: 7 # D9: 5,6 => UNS * INC # I8: 7 # D9: 9 => UNS * INC # I8: 7 # A7: 5,6 => UNS * INC # I8: 7 # A7: 1,2,3 => UNS * INC # I8: 7 # E8: 3,9 => UNS * INC # I8: 7 # E8: 5,8 => UNS * INC # I8: 7 # B8: 3,9 => UNS * INC # I8: 7 # C8: 3,9 => UNS * INC # I8: 7 # F2: 3,9 => UNS * INC # I8: 7 # F2: 1,2 => UNS * INC # I8: 7 => UNS * INC # H9: 7 # H6: 3,9 => UNS * INC # H9: 7 # H6: 5,8 => UNS * INC # H9: 7 # B4: 3,9 => UNS * INC # H9: 7 # C4: 3,9 => UNS * INC # H9: 7 # H2: 3,9 => UNS * INC # H9: 7 # H3: 3,9 => UNS * INC # H9: 7 # D9: 6,9 => UNS * INC # H9: 7 # D9: 5,8 => UNS * INC # H9: 7 # B9: 6,9 => UNS * INC # H9: 7 # C9: 6,9 => UNS * INC # H9: 7 # F5: 6,9 => UNS * INC # H9: 7 # F6: 6,9 => UNS * INC # H9: 7 => UNS * CNT 42 HDP CHAINS / 42 HYP OPENED
Full list of HDP chains traversed for C4,C6: 7..:
* DIS # C4: 7 # E5: 1,9 => CTR => E5: 7,8 * INC # C4: 7 + E5: 7,8 # F5: 1,9 => UNS * INC # C4: 7 + E5: 7,8 # F5: 1,9 => UNS * INC # C4: 7 + E5: 7,8 # F5: 6,7 => UNS * DIS # C4: 7 + E5: 7,8 # B4: 1,9 => CTR => B4: 2,3,6 * DIS # C4: 7 + E5: 7,8 + B4: 2,3,6 # H6: 3,9 => CTR => H6: 5,7,8 * INC # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 # H2: 3,9 => UNS * INC # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 # H3: 3,9 => UNS * DIS # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 # I5: 6,9 => CTR => I5: 5,7,8 * INC # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 + I5: 5,7,8 # I3: 6,9 => UNS * INC # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 + I5: 5,7,8 # I3: 2 => UNS * INC # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 + I5: 5,7,8 # G1: 3,5 => UNS * INC # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 + I5: 5,7,8 # H1: 3,5 => UNS * INC # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 + I5: 5,7,8 # E7: 3,5 => UNS * DIS # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 + I5: 5,7,8 # E8: 3,5 => CTR => E8: 7,8,9 * INC # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 + I5: 5,7,8 + E8: 7,8,9 # E7: 3,5 => UNS * PRF # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 + I5: 5,7,8 + E8: 7,8,9 # E7: 8 => SOL * STA # C4: 7 + E5: 7,8 + B4: 2,3,6 + H6: 5,7,8 + I5: 5,7,8 + E8: 7,8,9 + E7: 8 * CNT 17 HDP CHAINS / 18 HYP OPENED