Analysis of xx-ph-00845427-13_02-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..7......9...5.9...84......53.7.2..8....3..4....1...6.....71...8.....271.. initial
Autosolve
position: 98.7..6..7......9...5.9...84......53.7.2..8....3..4....1...6.....71...8.....271.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000015
List of important HDP chains detected for E5,F5: 3..:
* DIS # F5: 3 # H3: 1,2 => CTR => H3: 3,4,7 * CNT 1 HDP CHAINS / 34 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:28.434959
List of important HDP chains detected for I6,I7: 7..:
* DIS # I6: 7 # B4: 2,9 # B6: 2,9 => CTR => B6: 5,6 * DIS # I6: 7 # B4: 2,9 + B6: 5,6 # D6: 6,8 => CTR => D6: 5,9 * DIS # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 # C4: 1 => CTR => C4: 6,8 * DIS # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 + C4: 6,8 # E6: 5 => CTR => E6: 6,8 * DIS # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 + C4: 6,8 + E6: 6,8 # H5: 1,6 => CTR => H5: 4 * DIS # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 + C4: 6,8 + E6: 6,8 + H5: 4 # A6: 1,6 => CTR => A6: 2,5,8 * DIS # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 + C4: 6,8 + E6: 6,8 + H5: 4 + A6: 2,5,8 => CTR => B4: 6 * DIS # I6: 7 + B4: 6 # A6: 1,5 => CTR => A6: 2,8 * DIS # I6: 7 + B4: 6 + A6: 2,8 # C4: 2,8 => CTR => C4: 1,9 * PRF # I6: 7 + B4: 6 + A6: 2,8 + C4: 1,9 # D9: 8,9 => SOL * STA # I6: 7 + B4: 6 + A6: 2,8 + C4: 1,9 + D9: 8,9 * CNT 10 HDP CHAINS / 34 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is very deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7..6..7......9...5.9...84......53.7.2..8....3..4....1...6.....71...8.....271.. | initial |
| 98.7..6..7......9...5.9...84......53.7.2..8....3..4....1...6.....71...8.....271.. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E5,F5: 3.. / E5 = 3 => 1 pairs (_) / F5 = 3 => 2 pairs (_) H5,I5: 4.. / H5 = 4 => 1 pairs (_) / I5 = 4 => 1 pairs (_) G3,H3: 7.. / G3 = 7 => 2 pairs (_) / H3 = 7 => 0 pairs (_) E4,E6: 7.. / E4 = 7 => 1 pairs (_) / E6 = 7 => 1 pairs (_) E4,G4: 7.. / E4 = 7 => 1 pairs (_) / G4 = 7 => 1 pairs (_) I6,I7: 7.. / I6 = 7 => 3 pairs (_) / I7 = 7 => 0 pairs (_) C4,A6: 8.. / C4 = 8 => 2 pairs (_) / A6 = 8 => 0 pairs (_) F2,F4: 8.. / F2 = 8 => 1 pairs (_) / F4 = 8 => 1 pairs (_) * DURATION: 0:00:05.185813 START: 13:49:15.283650 END: 13:49:20.469463 2021-01-01 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I6,I7: 7.. / I6 = 7 ==> 3 pairs (_) / I7 = 7 ==> 0 pairs (_) E5,F5: 3.. / E5 = 3 ==> 1 pairs (_) / F5 = 3 ==> 2 pairs (_) C4,A6: 8.. / C4 = 8 ==> 2 pairs (_) / A6 = 8 ==> 0 pairs (_) G3,H3: 7.. / G3 = 7 ==> 2 pairs (_) / H3 = 7 ==> 0 pairs (_) F2,F4: 8.. / F2 = 8 ==> 1 pairs (_) / F4 = 8 ==> 1 pairs (_) E4,G4: 7.. / E4 = 7 ==> 1 pairs (_) / G4 = 7 ==> 1 pairs (_) E4,E6: 7.. / E4 = 7 ==> 1 pairs (_) / E6 = 7 ==> 1 pairs (_) H5,I5: 4.. / H5 = 4 ==> 1 pairs (_) / I5 = 4 ==> 1 pairs (_) * DURATION: 0:00:47.170564 START: 13:49:20.470076 END: 13:50:07.640640 2021-01-01 * REASONING E5,F5: 3.. * DIS # F5: 3 # H3: 1,2 => CTR => H3: 3,4,7 * CNT 1 HDP CHAINS / 34 HYP OPENED * DCP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) I6,I7: 7.. / I6 = 7 ==> 0 pairs (*) / I7 = 7 => 0 pairs (X) * DURATION: 0:00:28.431416 START: 13:50:07.734192 END: 13:50:36.165608 2021-01-01 * REASONING I6,I7: 7.. * DIS # I6: 7 # B4: 2,9 # B6: 2,9 => CTR => B6: 5,6 * DIS # I6: 7 # B4: 2,9 + B6: 5,6 # D6: 6,8 => CTR => D6: 5,9 * DIS # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 # C4: 1 => CTR => C4: 6,8 * DIS # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 + C4: 6,8 # E6: 5 => CTR => E6: 6,8 * DIS # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 + C4: 6,8 + E6: 6,8 # H5: 1,6 => CTR => H5: 4 * DIS # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 + C4: 6,8 + E6: 6,8 + H5: 4 # A6: 1,6 => CTR => A6: 2,5,8 * DIS # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 + C4: 6,8 + E6: 6,8 + H5: 4 + A6: 2,5,8 => CTR => B4: 6 * DIS # I6: 7 + B4: 6 # A6: 1,5 => CTR => A6: 2,8 * DIS # I6: 7 + B4: 6 + A6: 2,8 # C4: 2,8 => CTR => C4: 1,9 * PRF # I6: 7 + B4: 6 + A6: 2,8 + C4: 1,9 # D9: 8,9 => SOL * STA # I6: 7 + B4: 6 + A6: 2,8 + C4: 1,9 + D9: 8,9 * CNT 10 HDP CHAINS / 34 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
845427;13_02;GP;25;11.30;11.30;10.50
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I6,I7: 7..:
* INC # I6: 7 # B4: 2,9 => UNS * INC # I6: 7 # C4: 2,9 => UNS * INC # I6: 7 # B6: 2,9 => UNS * INC # I6: 7 # B6: 5,6 => UNS * INC # I6: 7 # H5: 1,6 => UNS * INC # I6: 7 # I5: 1,6 => UNS * INC # I6: 7 # A6: 1,6 => UNS * INC # I6: 7 # E6: 1,6 => UNS * INC # I6: 7 => UNS * INC # I7: 7 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for E5,F5: 3..:
* INC # F5: 3 # F1: 1,2 => UNS * INC # F5: 3 # F2: 1,2 => UNS * INC # F5: 3 # A3: 1,2 => UNS * DIS # F5: 3 # H3: 1,2 => CTR => H3: 3,4,7 * INC # F5: 3 + H3: 3,4,7 # A3: 1,2 => UNS * INC # F5: 3 + H3: 3,4,7 # A3: 3,6 => UNS * INC # F5: 3 + H3: 3,4,7 # F1: 1,2 => UNS * INC # F5: 3 + H3: 3,4,7 # F2: 1,2 => UNS * INC # F5: 3 + H3: 3,4,7 # A3: 1,2 => UNS * INC # F5: 3 + H3: 3,4,7 # A3: 3,6 => UNS * INC # F5: 3 + H3: 3,4,7 # D7: 5,9 => UNS * INC # F5: 3 + H3: 3,4,7 # D9: 5,9 => UNS * INC # F5: 3 + H3: 3,4,7 # B8: 5,9 => UNS * INC # F5: 3 + H3: 3,4,7 # G8: 5,9 => UNS * INC # F5: 3 + H3: 3,4,7 # I8: 5,9 => UNS * INC # F5: 3 + H3: 3,4,7 # F1: 1,2 => UNS * INC # F5: 3 + H3: 3,4,7 # F2: 1,2 => UNS * INC # F5: 3 + H3: 3,4,7 # A3: 1,2 => UNS * INC # F5: 3 + H3: 3,4,7 # A3: 3,6 => UNS * INC # F5: 3 + H3: 3,4,7 # D7: 5,9 => UNS * INC # F5: 3 + H3: 3,4,7 # D9: 5,9 => UNS * INC # F5: 3 + H3: 3,4,7 # B8: 5,9 => UNS * INC # F5: 3 + H3: 3,4,7 # G8: 5,9 => UNS * INC # F5: 3 + H3: 3,4,7 # I8: 5,9 => UNS * INC # F5: 3 + H3: 3,4,7 => UNS * INC # E5: 3 # D7: 4,5 => UNS * INC # E5: 3 # E7: 4,5 => UNS * INC # E5: 3 # D9: 4,5 => UNS * INC # E5: 3 # B8: 4,5 => UNS * INC # E5: 3 # G8: 4,5 => UNS * INC # E5: 3 # I8: 4,5 => UNS * INC # E5: 3 # E1: 4,5 => UNS * INC # E5: 3 # E2: 4,5 => UNS * INC # E5: 3 => UNS * CNT 34 HDP CHAINS / 34 HYP OPENED
Full list of HDP chains traversed for C4,A6: 8..:
* INC # C4: 8 # D6: 6,9 => UNS * INC # C4: 8 # D6: 5,8 => UNS * INC # C4: 8 # B4: 6,9 => UNS * INC # C4: 8 # B4: 2 => UNS * INC # C4: 8 => UNS * INC # A6: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for G3,H3: 7..:
* INC # G3: 7 # B4: 2,9 => UNS * INC # G3: 7 # C4: 2,9 => UNS * INC # G3: 7 # B6: 2,9 => UNS * INC # G3: 7 # B6: 5,6 => UNS * INC # G3: 7 => UNS * INC # H3: 7 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for F2,F4: 8..:
* INC # F2: 8 # F5: 1,9 => UNS * INC # F2: 8 # F5: 3,5 => UNS * INC # F2: 8 # C4: 1,9 => UNS * INC # F2: 8 # C4: 2,6,8 => UNS * INC # F2: 8 => UNS * INC # F4: 8 # D6: 6,9 => UNS * INC # F4: 8 # D6: 5 => UNS * INC # F4: 8 # B4: 6,9 => UNS * INC # F4: 8 # C4: 6,9 => UNS * INC # F4: 8 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for E4,G4: 7..:
* INC # E4: 7 # G6: 2,9 => UNS * INC # E4: 7 # I6: 2,9 => UNS * INC # E4: 7 # B4: 2,9 => UNS * INC # E4: 7 # C4: 2,9 => UNS * INC # E4: 7 # G7: 2,9 => UNS * INC # E4: 7 # G8: 2,9 => UNS * INC # E4: 7 => UNS * INC # G4: 7 # I6: 2,9 => UNS * INC # G4: 7 # I6: 1,6 => UNS * INC # G4: 7 # G7: 2,9 => UNS * INC # G4: 7 # G8: 2,9 => UNS * INC # G4: 7 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for E4,E6: 7..:
* INC # E4: 7 # G6: 2,9 => UNS * INC # E4: 7 # I6: 2,9 => UNS * INC # E4: 7 # B4: 2,9 => UNS * INC # E4: 7 # C4: 2,9 => UNS * INC # E4: 7 # G7: 2,9 => UNS * INC # E4: 7 # G8: 2,9 => UNS * INC # E4: 7 => UNS * INC # E6: 7 # I6: 2,9 => UNS * INC # E6: 7 # I6: 1,6 => UNS * INC # E6: 7 # G7: 2,9 => UNS * INC # E6: 7 # G8: 2,9 => UNS * INC # E6: 7 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for H5,I5: 4..:
* INC # H5: 4 # A9: 3,6 => UNS * INC # H5: 4 # B9: 3,6 => UNS * INC # H5: 4 => UNS * INC # I5: 4 # H6: 1,6 => UNS * INC # I5: 4 # I6: 1,6 => UNS * INC # I5: 4 # A5: 1,6 => UNS * INC # I5: 4 # C5: 1,6 => UNS * INC # I5: 4 # E5: 1,6 => UNS * INC # I5: 4 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for I6,I7: 7..:
* INC # I6: 7 # B4: 2,9 => UNS * INC # I6: 7 # C4: 2,9 => UNS * INC # I6: 7 # B6: 2,9 => UNS * INC # I6: 7 # B6: 5,6 => UNS * INC # I6: 7 # H5: 1,6 => UNS * INC # I6: 7 # I5: 1,6 => UNS * INC # I6: 7 # A6: 1,6 => UNS * INC # I6: 7 # E6: 1,6 => UNS * DIS # I6: 7 # B4: 2,9 # B6: 2,9 => CTR => B6: 5,6 * INC # I6: 7 # B4: 2,9 + B6: 5,6 # B8: 2,9 => UNS * INC # I6: 7 # B4: 2,9 + B6: 5,6 # B8: 3,4,5,6 => UNS * DIS # I6: 7 # B4: 2,9 + B6: 5,6 # D6: 6,8 => CTR => D6: 5,9 * INC # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 # E6: 6,8 => UNS * INC # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 # E6: 6,8 => UNS * INC # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 # E6: 1,5 => UNS * INC # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 # C4: 6,8 => UNS * DIS # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 # C4: 1 => CTR => C4: 6,8 * INC # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 + C4: 6,8 # E6: 6,8 => UNS * DIS # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 + C4: 6,8 # E6: 5 => CTR => E6: 6,8 * DIS # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 + C4: 6,8 + E6: 6,8 # H5: 1,6 => CTR => H5: 4 * DIS # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 + C4: 6,8 + E6: 6,8 + H5: 4 # A6: 1,6 => CTR => A6: 2,5,8 * DIS # I6: 7 # B4: 2,9 + B6: 5,6 + D6: 5,9 + C4: 6,8 + E6: 6,8 + H5: 4 + A6: 2,5,8 => CTR => B4: 6 * DIS # I6: 7 + B4: 6 # A6: 1,5 => CTR => A6: 2,8 * INC # I6: 7 + B4: 6 + A6: 2,8 # E5: 1,5 => UNS * INC # I6: 7 + B4: 6 + A6: 2,8 # F5: 1,5 => UNS * INC # I6: 7 + B4: 6 + A6: 2,8 # C4: 1,9 => UNS * DIS # I6: 7 + B4: 6 + A6: 2,8 # C4: 2,8 => CTR => C4: 1,9 * INC # I6: 7 + B4: 6 + A6: 2,8 + C4: 1,9 # F5: 1,9 => UNS * INC # I6: 7 + B4: 6 + A6: 2,8 + C4: 1,9 # F5: 3 => UNS * INC # I6: 7 + B4: 6 + A6: 2,8 + C4: 1,9 # F4: 8,9 => UNS * INC # I6: 7 + B4: 6 + A6: 2,8 + C4: 1,9 # F4: 1 => UNS * INC # I6: 7 + B4: 6 + A6: 2,8 + C4: 1,9 # D7: 8,9 => UNS * PRF # I6: 7 + B4: 6 + A6: 2,8 + C4: 1,9 # D9: 8,9 => SOL * STA # I6: 7 + B4: 6 + A6: 2,8 + C4: 1,9 + D9: 8,9 * CNT 33 HDP CHAINS / 34 HYP OPENED