Analysis of xx-ph-00001213-H288-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.......6.9.7.......5...8...6.9....74...3...2.....1.2..7.8.....3....4.....1.5. initial
Autosolve
position: 98.7.......6.9.7.......5...8...6.9....74...3...2.....1.2..7.8.....3....4.....1.5. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000008
List of important HDP chains detected for F6,H6: 7..:
* DIS # H6: 7 # H3: 2,4 => CTR => H3: 1,6,8,9 * DIS # H6: 7 + H3: 1,6,8,9 # G1: 1,2 => CTR => G1: 3,4,5 * CNT 2 HDP CHAINS / 45 HYP OPENED
List of important HDP chains detected for F4,F6: 7..:
* DIS # F4: 7 # H3: 2,4 => CTR => H3: 1,6,8,9 * DIS # F4: 7 + H3: 1,6,8,9 # G1: 1,2 => CTR => G1: 3,4,5 * CNT 2 HDP CHAINS / 45 HYP OPENED
List of important HDP chains detected for D7,E8: 5..:
* DIS # E8: 5 # F7: 6,9 => CTR => F7: 4 * PRF # E8: 5 + F7: 4 # H7: 6,9 => SOL * STA # E8: 5 + F7: 4 + H7: 6,9 * CNT 2 HDP CHAINS / 23 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.......6.9.7.......5...8...6.9....74...3...2.....1.2..7.8.....3....4.....1.5. | initial |
| 98.7.......6.9.7.......5...8...6.9....74...3...2.....1.2..7.8.....3....4.....1.5. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,E5: 1.. / D4 = 1 => 1 pairs (_) / E5 = 1 => 2 pairs (_) A2,A3: 2.. / A2 = 2 => 1 pairs (_) / A3 = 2 => 0 pairs (_) F7,E9: 4.. / F7 = 4 => 1 pairs (_) / E9 = 4 => 1 pairs (_) D7,E8: 5.. / D7 = 5 => 3 pairs (_) / E8 = 5 => 2 pairs (_) F1,D3: 6.. / F1 = 6 => 1 pairs (_) / D3 = 6 => 1 pairs (_) A3,B3: 7.. / A3 = 7 => 1 pairs (_) / B3 = 7 => 0 pairs (_) F4,F6: 7.. / F4 = 7 => 5 pairs (_) / F6 = 7 => 1 pairs (_) H8,I9: 7.. / H8 = 7 => 2 pairs (_) / I9 = 7 => 1 pairs (_) F6,H6: 7.. / F6 = 7 => 1 pairs (_) / H6 = 7 => 5 pairs (_) I4,I9: 7.. / I4 = 7 => 2 pairs (_) / I9 = 7 => 1 pairs (_) I5,H6: 8.. / I5 = 8 => 1 pairs (_) / H6 = 8 => 3 pairs (_) C8,C9: 8.. / C8 = 8 => 1 pairs (_) / C9 = 8 => 1 pairs (_) H3,I3: 9.. / H3 = 9 => 1 pairs (_) / I3 = 9 => 1 pairs (_) B5,B6: 9.. / B5 = 9 => 1 pairs (_) / B6 = 9 => 2 pairs (_) B5,F5: 9.. / B5 = 9 => 1 pairs (_) / F5 = 9 => 2 pairs (_) * DURATION: 0:00:10.870037 START: 07:38:14.527458 END: 07:38:25.397495 2020-11-26 * CP COUNT: (15) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F6,H6: 7.. / F6 = 7 ==> 1 pairs (_) / H6 = 7 ==> 5 pairs (_) F4,F6: 7.. / F4 = 7 ==> 5 pairs (_) / F6 = 7 ==> 1 pairs (_) D7,E8: 5.. / D7 = 5 ==> 3 pairs (_) / E8 = 5 ==> 0 pairs (*) * DURATION: 0:01:12.695276 START: 07:38:25.398330 END: 07:39:38.093606 2020-11-26 * REASONING F6,H6: 7.. * DIS # H6: 7 # H3: 2,4 => CTR => H3: 1,6,8,9 * DIS # H6: 7 + H3: 1,6,8,9 # G1: 1,2 => CTR => G1: 3,4,5 * CNT 2 HDP CHAINS / 45 HYP OPENED * REASONING F4,F6: 7.. * DIS # F4: 7 # H3: 2,4 => CTR => H3: 1,6,8,9 * DIS # F4: 7 + H3: 1,6,8,9 # G1: 1,2 => CTR => G1: 3,4,5 * CNT 2 HDP CHAINS / 45 HYP OPENED * REASONING D7,E8: 5.. * DIS # E8: 5 # F7: 6,9 => CTR => F7: 4 * PRF # E8: 5 + F7: 4 # H7: 6,9 => SOL * STA # E8: 5 + F7: 4 + H7: 6,9 * CNT 2 HDP CHAINS / 23 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
1213;H288;GP;22;11.30;11.30;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F6,H6: 7..:
* INC # H6: 7 # F8: 2,9 => UNS * INC # H6: 7 # F8: 6,8 => UNS * INC # H6: 7 # H1: 2,4 => UNS * INC # H6: 7 # H2: 2,4 => UNS * DIS # H6: 7 # H3: 2,4 => CTR => H3: 1,6,8,9 * INC # H6: 7 + H3: 1,6,8,9 # H1: 2,4 => UNS * INC # H6: 7 + H3: 1,6,8,9 # H2: 2,4 => UNS * INC # H6: 7 + H3: 1,6,8,9 # G5: 2,5 => UNS * INC # H6: 7 + H3: 1,6,8,9 # G5: 6 => UNS * INC # H6: 7 + H3: 1,6,8,9 # D4: 2,5 => UNS * INC # H6: 7 + H3: 1,6,8,9 # D4: 1 => UNS * INC # H6: 7 + H3: 1,6,8,9 # I1: 2,5 => UNS * INC # H6: 7 + H3: 1,6,8,9 # I2: 2,5 => UNS * INC # H6: 7 + H3: 1,6,8,9 # H8: 1,2 => UNS * INC # H6: 7 + H3: 1,6,8,9 # H8: 6,9 => UNS * DIS # H6: 7 + H3: 1,6,8,9 # G1: 1,2 => CTR => G1: 3,4,5 * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 1,2 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 1,2 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 3,4 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # H8: 1,2 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # H8: 6,9 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 1,2 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 3,4 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 2,3 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 1,4 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # F8: 2,9 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # F8: 6,8 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # H1: 2,4 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # H2: 2,4 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G5: 2,5 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G5: 6 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # D4: 2,5 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # D4: 1 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # I1: 2,5 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # I2: 2,5 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # H8: 1,2 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # H8: 6,9 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 1,2 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 3,4 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 2,3 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 1,4 => UNS * INC # H6: 7 + H3: 1,6,8,9 + G1: 3,4,5 => UNS * INC # F6: 7 # F1: 2,3 => UNS * INC # F6: 7 # F2: 2,3 => UNS * INC # F6: 7 => UNS * CNT 45 HDP CHAINS / 45 HYP OPENED
Full list of HDP chains traversed for F4,F6: 7..:
* INC # F4: 7 # F8: 2,9 => UNS * INC # F4: 7 # F8: 6,8 => UNS * INC # F4: 7 # H1: 2,4 => UNS * INC # F4: 7 # H2: 2,4 => UNS * DIS # F4: 7 # H3: 2,4 => CTR => H3: 1,6,8,9 * INC # F4: 7 + H3: 1,6,8,9 # H1: 2,4 => UNS * INC # F4: 7 + H3: 1,6,8,9 # H2: 2,4 => UNS * INC # F4: 7 + H3: 1,6,8,9 # G5: 2,5 => UNS * INC # F4: 7 + H3: 1,6,8,9 # G5: 6 => UNS * INC # F4: 7 + H3: 1,6,8,9 # D4: 2,5 => UNS * INC # F4: 7 + H3: 1,6,8,9 # D4: 1 => UNS * INC # F4: 7 + H3: 1,6,8,9 # I1: 2,5 => UNS * INC # F4: 7 + H3: 1,6,8,9 # I2: 2,5 => UNS * INC # F4: 7 + H3: 1,6,8,9 # H8: 1,2 => UNS * INC # F4: 7 + H3: 1,6,8,9 # H8: 6,9 => UNS * DIS # F4: 7 + H3: 1,6,8,9 # G1: 1,2 => CTR => G1: 3,4,5 * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 1,2 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 1,2 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 3,4 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # H8: 1,2 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # H8: 6,9 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 1,2 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 3,4 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 2,3 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 1,4 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # F8: 2,9 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # F8: 6,8 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # H1: 2,4 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # H2: 2,4 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G5: 2,5 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G5: 6 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # D4: 2,5 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # D4: 1 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # I1: 2,5 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # I2: 2,5 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # H8: 1,2 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # H8: 6,9 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 1,2 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 3,4 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 2,3 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 # G3: 1,4 => UNS * INC # F4: 7 + H3: 1,6,8,9 + G1: 3,4,5 => UNS * INC # F6: 7 # F1: 2,3 => UNS * INC # F6: 7 # F2: 2,3 => UNS * INC # F6: 7 => UNS * CNT 45 HDP CHAINS / 45 HYP OPENED
Full list of HDP chains traversed for D7,E8: 5..:
* INC # D7: 5 # E5: 1,2 => UNS * INC # D7: 5 # E5: 5,8 => UNS * INC # D7: 5 # D2: 1,2 => UNS * INC # D7: 5 # D3: 1,2 => UNS * INC # D7: 5 # F5: 8,9 => UNS * INC # D7: 5 # F6: 8,9 => UNS * INC # D7: 5 # D9: 8,9 => UNS * INC # D7: 5 # D9: 2,6 => UNS * INC # D7: 5 # F8: 2,8 => UNS * INC # D7: 5 # D9: 2,8 => UNS * INC # D7: 5 # E9: 2,8 => UNS * INC # D7: 5 # E3: 2,8 => UNS * INC # D7: 5 # E5: 2,8 => UNS * INC # D7: 5 => UNS * INC # E8: 5 # F6: 3,8 => UNS * INC # E8: 5 # F6: 7,9 => UNS * INC # E8: 5 # E3: 3,8 => UNS * INC # E8: 5 # E3: 1,2,4 => UNS * DIS # E8: 5 # F7: 6,9 => CTR => F7: 4 * INC # E8: 5 + F7: 4 # F8: 6,9 => UNS * INC # E8: 5 + F7: 4 # D9: 6,9 => UNS * PRF # E8: 5 + F7: 4 # H7: 6,9 => SOL * STA # E8: 5 + F7: 4 + H7: 6,9 * CNT 22 HDP CHAINS / 23 HYP OPENED