Analysis of xx-ph-00013991-kz0-base.sdk
Contents
Original Sudoku
level: deep
position: 98.76....7....59....4....7.3....92...6.4.......7.8....1......29....3.1.......2..5 initial
Autosolve
position: 98.76....7....59....4....7.3....92...6.4.......7.8....1......29....3.1.......2..5 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000015
List of important HDP chains detected for F1,E2: 4..:
* DIS # E2: 4 # F3: 1,3 => CTR => F3: 8 * DIS # E2: 4 + F3: 8 # E5: 5,7 => CTR => E5: 1,2 * DIS # E2: 4 + F3: 8 + E5: 1,2 # E4: 1 => CTR => E4: 5,7 * PRF # E2: 4 + F3: 8 + E5: 1,2 + E4: 5,7 # F6: 1,3 => SOL * STA # E2: 4 + F3: 8 + E5: 1,2 + E4: 5,7 + F6: 1,3 * CNT 4 HDP CHAINS / 46 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....59....4....7.3....92...6.4.......7.8....1......29....3.1.......2..5 | initial |
| 98.76....7....59....4....7.3....92...6.4.......7.8....1......29....3.1.......2..5 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D9,E9: 1.. / D9 = 1 => 1 pairs (_) / E9 = 1 => 2 pairs (_) E5,D6: 2.. / E5 = 2 => 3 pairs (_) / D6 = 2 => 3 pairs (_) C1,I1: 2.. / C1 = 2 => 2 pairs (_) / I1 = 2 => 0 pairs (_) F1,E2: 4.. / F1 = 4 => 2 pairs (_) / E2 = 4 => 2 pairs (_) C2,A3: 6.. / C2 = 6 => 1 pairs (_) / A3 = 6 => 1 pairs (_) E4,I4: 7.. / E4 = 7 => 2 pairs (_) / I4 = 7 => 1 pairs (_) D3,E3: 9.. / D3 = 9 => 4 pairs (_) / E3 = 9 => 0 pairs (_) C5,B6: 9.. / C5 = 9 => 0 pairs (_) / B6 = 9 => 0 pairs (_) H5,H6: 9.. / H5 = 9 => 0 pairs (_) / H6 = 9 => 0 pairs (_) C5,H5: 9.. / C5 = 9 => 0 pairs (_) / H5 = 9 => 0 pairs (_) B6,H6: 9.. / B6 = 9 => 0 pairs (_) / H6 = 9 => 0 pairs (_) E3,E9: 9.. / E3 = 9 => 0 pairs (_) / E9 = 9 => 4 pairs (_) * DURATION: 0:00:11.224858 START: 06:56:44.880896 END: 06:56:56.105754 2020-11-19 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E3,E9: 9.. / E3 = 9 ==> 0 pairs (_) / E9 = 9 ==> 4 pairs (_) D3,E3: 9.. / D3 = 9 ==> 4 pairs (_) / E3 = 9 ==> 0 pairs (_) E5,D6: 2.. / E5 = 2 ==> 3 pairs (_) / D6 = 2 ==> 3 pairs (_) F1,E2: 4.. / F1 = 4 ==> 2 pairs (_) / E2 = 4 ==> 0 pairs (*) * DURATION: 0:01:22.287606 START: 06:56:56.106673 END: 06:58:18.394279 2020-11-19 * REASONING F1,E2: 4.. * DIS # E2: 4 # F3: 1,3 => CTR => F3: 8 * DIS # E2: 4 + F3: 8 # E5: 5,7 => CTR => E5: 1,2 * DIS # E2: 4 + F3: 8 + E5: 1,2 # E4: 1 => CTR => E4: 5,7 * PRF # E2: 4 + F3: 8 + E5: 1,2 + E4: 5,7 # F6: 1,3 => SOL * STA # E2: 4 + F3: 8 + E5: 1,2 + E4: 5,7 + F6: 1,3 * CNT 4 HDP CHAINS / 46 HYP OPENED * DCP COUNT: (4) * SOLUTION FOUND
Header Info
13991;kz0;GP;23;11.30;11.30;11.30
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E3,E9: 9..:
* INC # E9: 9 # B2: 2,3 => UNS * INC # E9: 9 # C2: 2,3 => UNS * INC # E9: 9 # I2: 2,3 => UNS * INC # E9: 9 # E2: 1,2 => UNS * INC # E9: 9 # E2: 4 => UNS * INC # E9: 9 # B3: 1,2 => UNS * INC # E9: 9 # I3: 1,2 => UNS * INC # E9: 9 # E5: 1,2 => UNS * INC # E9: 9 # E5: 5,7 => UNS * INC # E9: 9 # H4: 5,6 => UNS * INC # E9: 9 # H4: 1,4,8 => UNS * INC # E9: 9 # D7: 5,6 => UNS * INC # E9: 9 # D8: 5,6 => UNS * INC # E9: 9 => UNS * INC # E3: 9 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for D3,E3: 9..:
* INC # D3: 9 # B2: 2,3 => UNS * INC # D3: 9 # C2: 2,3 => UNS * INC # D3: 9 # I2: 2,3 => UNS * INC # D3: 9 # E2: 1,2 => UNS * INC # D3: 9 # E2: 4 => UNS * INC # D3: 9 # B3: 1,2 => UNS * INC # D3: 9 # I3: 1,2 => UNS * INC # D3: 9 # E5: 1,2 => UNS * INC # D3: 9 # E5: 5,7 => UNS * INC # D3: 9 # H4: 5,6 => UNS * INC # D3: 9 # H4: 1,4,8 => UNS * INC # D3: 9 # D7: 5,6 => UNS * INC # D3: 9 # D8: 5,6 => UNS * INC # D3: 9 => UNS * INC # E3: 9 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for E5,D6: 2..:
* INC # E5: 2 # F1: 1,4 => UNS * INC # E5: 2 # F1: 3 => UNS * INC # E5: 2 # H2: 1,4 => UNS * INC # E5: 2 # I2: 1,4 => UNS * INC # E5: 2 # E9: 1,4 => UNS * INC # E5: 2 # E9: 7,9 => UNS * INC # E5: 2 # D3: 1,9 => UNS * INC # E5: 2 # D3: 2,3,8 => UNS * INC # E5: 2 # E9: 1,9 => UNS * INC # E5: 2 # E9: 4,7 => UNS * INC # E5: 2 # C4: 5,8 => UNS * INC # E5: 2 # C5: 5,8 => UNS * INC # E5: 2 # G5: 5,8 => UNS * INC # E5: 2 # H5: 5,8 => UNS * INC # E5: 2 # A8: 5,8 => UNS * INC # E5: 2 # A8: 2,4,6 => UNS * INC # E5: 2 => UNS * INC # D6: 2 # E2: 1,4 => UNS * INC # D6: 2 # E2: 2 => UNS * INC # D6: 2 # H1: 1,4 => UNS * INC # D6: 2 # I1: 1,4 => UNS * INC # D6: 2 # D2: 1,8 => UNS * INC # D6: 2 # D3: 1,8 => UNS * INC # D6: 2 # I3: 1,8 => UNS * INC # D6: 2 # I3: 2,3,6 => UNS * INC # D6: 2 # B4: 4,5 => UNS * INC # D6: 2 # B6: 4,5 => UNS * INC # D6: 2 # G6: 4,5 => UNS * INC # D6: 2 # H6: 4,5 => UNS * INC # D6: 2 # A8: 4,5 => UNS * INC # D6: 2 # A8: 2,6,8 => UNS * INC # D6: 2 => UNS * CNT 32 HDP CHAINS / 32 HYP OPENED
Full list of HDP chains traversed for F1,E2: 4..:
* INC # F1: 4 # D2: 1,2 => UNS * INC # F1: 4 # D3: 1,2 => UNS * INC # F1: 4 # E3: 1,2 => UNS * INC # F1: 4 # B2: 1,2 => UNS * INC # F1: 4 # C2: 1,2 => UNS * INC # F1: 4 # I2: 1,2 => UNS * INC # F1: 4 # E5: 1,2 => UNS * INC # F1: 4 # E5: 5,7 => UNS * INC # F1: 4 # H1: 3,5 => UNS * INC # F1: 4 # G3: 3,5 => UNS * INC # F1: 4 # C1: 3,5 => UNS * INC # F1: 4 # C1: 1,2 => UNS * INC # F1: 4 # G5: 3,5 => UNS * INC # F1: 4 # G6: 3,5 => UNS * INC # F1: 4 => UNS * INC # E2: 4 # D2: 1,3 => UNS * INC # E2: 4 # D3: 1,3 => UNS * DIS # E2: 4 # F3: 1,3 => CTR => F3: 8 * INC # E2: 4 + F3: 8 # C1: 1,3 => UNS * INC # E2: 4 + F3: 8 # H1: 1,3 => UNS * INC # E2: 4 + F3: 8 # I1: 1,3 => UNS * INC # E2: 4 + F3: 8 # F5: 1,3 => UNS * INC # E2: 4 + F3: 8 # F6: 1,3 => UNS * INC # E2: 4 + F3: 8 # D2: 1,3 => UNS * INC # E2: 4 + F3: 8 # D3: 1,3 => UNS * INC # E2: 4 + F3: 8 # C1: 1,3 => UNS * INC # E2: 4 + F3: 8 # H1: 1,3 => UNS * INC # E2: 4 + F3: 8 # I1: 1,3 => UNS * INC # E2: 4 + F3: 8 # F5: 1,3 => UNS * INC # E2: 4 + F3: 8 # F6: 1,3 => UNS * INC # E2: 4 + F3: 8 # B7: 5,7 => UNS * INC # E2: 4 + F3: 8 # B7: 3,4 => UNS * INC # E2: 4 + F3: 8 # E4: 5,7 => UNS * DIS # E2: 4 + F3: 8 # E5: 5,7 => CTR => E5: 1,2 * INC # E2: 4 + F3: 8 + E5: 1,2 # E4: 5,7 => UNS * DIS # E2: 4 + F3: 8 + E5: 1,2 # E4: 1 => CTR => E4: 5,7 * INC # E2: 4 + F3: 8 + E5: 1,2 + E4: 5,7 # B7: 5,7 => UNS * INC # E2: 4 + F3: 8 + E5: 1,2 + E4: 5,7 # B7: 3,4 => UNS * INC # E2: 4 + F3: 8 + E5: 1,2 + E4: 5,7 # D2: 1,3 => UNS * INC # E2: 4 + F3: 8 + E5: 1,2 + E4: 5,7 # D3: 1,3 => UNS * INC # E2: 4 + F3: 8 + E5: 1,2 + E4: 5,7 # C1: 1,3 => UNS * INC # E2: 4 + F3: 8 + E5: 1,2 + E4: 5,7 # H1: 1,3 => UNS * INC # E2: 4 + F3: 8 + E5: 1,2 + E4: 5,7 # I1: 1,3 => UNS * INC # E2: 4 + F3: 8 + E5: 1,2 + E4: 5,7 # F5: 1,3 => UNS * PRF # E2: 4 + F3: 8 + E5: 1,2 + E4: 5,7 # F6: 1,3 => SOL * STA # E2: 4 + F3: 8 + E5: 1,2 + E4: 5,7 + F6: 1,3 * CNT 45 HDP CHAINS / 46 HYP OPENED