Analysis of xx-ph-00545580-12_12-base.sdk
Original Sudoku
level: very deep
position: 98.7..6..7...5......4..8.7.4....3.8..9.2..3.6..3.....1.4...9.....91..5......6...2 initial
Autosolve
position: 98.7..6..7...5......4..8.7.4....3.8..9.2..3.6..3.....1.4...9.....91..5......6...2 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:39.536494
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000016
List of important HDP chains detected for H7,H8: 6..:
* DIS # H7: 6 # H9: 3,4 => CTR => H9: 1,9 * CNT 1 HDP CHAINS / 44 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:17.059634
List of important HDP chains detected for F2,F6: 6..:
* PRF # F2: 6 # C1: 1,2 # E1: 1,2 => SOL * STA # F2: 6 # C1: 1,2 + E1: 1,2 * CNT 1 HDP CHAINS / 21 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...5......4..8.7.4....3.8..9.2..3.6..3.....1.4...9.....91..5......6...2 | initial |
| 98.7..6..7...5......4..8.7.4....3.8..9.2..3.6..3.....1.4...9.....91..5......6...2 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) H5: 4,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H7,H8: 6.. / H7 = 6 => 2 pairs (_) / H8 = 6 => 2 pairs (_) F2,F6: 6.. / F2 = 6 => 3 pairs (_) / F6 = 6 => 2 pairs (_) G2,I2: 8.. / G2 = 8 => 2 pairs (_) / I2 = 8 => 2 pairs (_) G9,H9: 9.. / G9 = 9 => 3 pairs (_) / H9 = 9 => 1 pairs (_) * DURATION: 0:00:02.726982 START: 19:59:49.495553 END: 19:59:52.222535 2020-12-27 * CP COUNT: (4) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F2,F6: 6.. / F2 = 6 ==> 3 pairs (_) / F6 = 6 ==> 2 pairs (_) G9,H9: 9.. / G9 = 9 ==> 3 pairs (_) / H9 = 9 ==> 1 pairs (_) G2,I2: 8.. / G2 = 8 ==> 2 pairs (_) / I2 = 8 ==> 2 pairs (_) H7,H8: 6.. / H7 = 6 ==> 3 pairs (_) / H8 = 6 ==> 2 pairs (_) * DURATION: 0:00:58.510121 START: 20:00:37.346809 END: 20:01:35.856930 2020-12-27 * REASONING H7,H8: 6.. * DIS # H7: 6 # H9: 3,4 => CTR => H9: 1,9 * CNT 1 HDP CHAINS / 44 HYP OPENED * DCP COUNT: (4) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) F2,F6: 6.. / F2 = 6 ==> 0 pairs (*) / F6 = 6 => 0 pairs (X) * DURATION: 0:00:17.057800 START: 20:01:35.921546 END: 20:01:52.979346 2020-12-27 * REASONING F2,F6: 6.. * PRF # F2: 6 # C1: 1,2 # E1: 1,2 => SOL * STA # F2: 6 # C1: 1,2 + E1: 1,2 * CNT 1 HDP CHAINS / 21 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
545580;12_12;GP;25;11.30;11.30;11.10
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # H6: 4,5 => UNS * INC # H6: 2,9 => UNS * INC # F5: 4,5 => UNS * INC # F5: 1,7 => UNS * INC # H1: 4,5 => UNS * INC # H1: 1,2,3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H6: 4,5 => UNS * INC # H6: 2,9 => UNS * INC # F5: 4,5 => UNS * INC # F5: 1,7 => UNS * INC # H1: 4,5 => UNS * INC # H1: 1,2,3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # H6: 4,5 => UNS * INC # H6: 2,9 => UNS * INC # F5: 4,5 => UNS * INC # F5: 1,7 => UNS * INC # H1: 4,5 => UNS * INC # H1: 1,2,3 => UNS * INC # H6: 4,5 # G2: 1,9 => UNS * INC # H6: 4,5 # H2: 1,9 => UNS * INC # H6: 4,5 # E3: 1,9 => UNS * INC # H6: 4,5 # E3: 2,3 => UNS * INC # H6: 4,5 # G9: 1,9 => UNS * INC # H6: 4,5 # G9: 4,7,8 => UNS * INC # H6: 4,5 # G4: 7,9 => UNS * INC # H6: 4,5 # G6: 7,9 => UNS * INC # H6: 4,5 # E4: 7,9 => UNS * INC # H6: 4,5 # E4: 1 => UNS * INC # H6: 4,5 # F5: 4,5 => UNS * INC # H6: 4,5 # F5: 1,7 => UNS * INC # H6: 4,5 # D6: 4,5 => UNS * INC # H6: 4,5 # F6: 4,5 => UNS * INC # H6: 4,5 # H7: 3,6 => UNS * INC # H6: 4,5 # H7: 1 => UNS * INC # H6: 4,5 # A8: 3,6 => UNS * INC # H6: 4,5 # B8: 3,6 => UNS * INC # H6: 4,5 => UNS * INC # H6: 2,9 # F5: 4,5 => UNS * INC # H6: 2,9 # F5: 1,7 => UNS * INC # H6: 2,9 # H1: 4,5 => UNS * INC # H6: 2,9 # H1: 1,2,3 => UNS * INC # H6: 2,9 # G4: 2,9 => UNS * INC # H6: 2,9 # G6: 2,9 => UNS * INC # H6: 2,9 # H2: 2,9 => UNS * INC # H6: 2,9 # H2: 1,3,4 => UNS * INC # H6: 2,9 => UNS * INC # F5: 4,5 # C5: 1,8 => UNS * INC # F5: 4,5 # C5: 7 => UNS * INC # F5: 4,5 # E5: 1,8 => UNS * INC # F5: 4,5 # E5: 7 => UNS * INC # F5: 4,5 # A7: 1,8 => UNS * INC # F5: 4,5 # A9: 1,8 => UNS * INC # F5: 4,5 # D6: 4,5 => UNS * INC # F5: 4,5 # F6: 4,5 => UNS * INC # F5: 4,5 # F9: 4,5 => UNS * INC # F5: 4,5 # F9: 7 => UNS * INC # F5: 4,5 # H6: 4,5 => UNS * INC # F5: 4,5 # H6: 2,9 => UNS * INC # F5: 4,5 # H1: 4,5 => UNS * INC # F5: 4,5 # H1: 1,2,3 => UNS * INC # F5: 4,5 => UNS * INC # F5: 1,7 # E4: 1,7 => UNS * INC # F5: 1,7 # E5: 1,7 => UNS * INC # F5: 1,7 # C5: 1,7 => UNS * INC # F5: 1,7 # C5: 5,8 => UNS * INC # F5: 1,7 # H6: 4,5 => UNS * INC # F5: 1,7 # H6: 2,9 => UNS * INC # F5: 1,7 # H1: 4,5 => UNS * INC # F5: 1,7 # H1: 1,2,3 => UNS * INC # F5: 1,7 => UNS * INC # H1: 4,5 # I1: 4,5 => UNS * INC # H1: 4,5 # I1: 3 => UNS * INC # H1: 4,5 # F5: 4,5 => UNS * INC # H1: 4,5 # F5: 1,7 => UNS * INC # H1: 4,5 # G4: 2,9 => UNS * INC # H1: 4,5 # G6: 2,9 => UNS * INC # H1: 4,5 # H2: 2,9 => UNS * INC # H1: 4,5 # H2: 1,3 => UNS * INC # H1: 4,5 # H7: 3,6 => UNS * INC # H1: 4,5 # H7: 1 => UNS * INC # H1: 4,5 # A8: 3,6 => UNS * INC # H1: 4,5 # B8: 3,6 => UNS * INC # H1: 4,5 => UNS * INC # H1: 1,2,3 # G4: 7,9 => UNS * INC # H1: 1,2,3 # G6: 7,9 => UNS * INC # H1: 1,2,3 # E4: 7,9 => UNS * INC # H1: 1,2,3 # E4: 1 => UNS * INC # H1: 1,2,3 # H6: 4,5 => UNS * INC # H1: 1,2,3 # H6: 2,9 => UNS * INC # H1: 1,2,3 # F5: 4,5 => UNS * INC # H1: 1,2,3 # F5: 1,7 => UNS * INC # H1: 1,2,3 => UNS * CNT 80 HDP CHAINS / 80 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F2,F6: 6..:
* INC # F2: 6 # C1: 1,2 => UNS * INC # F2: 6 # B2: 1,2 => UNS * INC # F2: 6 # A3: 1,2 => UNS * INC # F2: 6 # B3: 1,2 => UNS * INC # F2: 6 # G2: 1,2 => UNS * INC # F2: 6 # H2: 1,2 => UNS * INC # F2: 6 # C4: 1,2 => UNS * INC # F2: 6 # C7: 1,2 => UNS * INC # F2: 6 # D2: 3,9 => UNS * INC # F2: 6 # E3: 3,9 => UNS * INC # F2: 6 # I3: 3,9 => UNS * INC # F2: 6 # I3: 5 => UNS * INC # F2: 6 # H6: 4,5 => UNS * INC # F2: 6 # H6: 2,9 => UNS * INC # F2: 6 # F5: 4,5 => UNS * INC # F2: 6 # F5: 1,7 => UNS * INC # F2: 6 # H1: 4,5 => UNS * INC # F2: 6 # H1: 1,2,3 => UNS * INC # F2: 6 => UNS * INC # F6: 6 # D6: 5,9 => UNS * INC # F6: 6 # D6: 4,8 => UNS * INC # F6: 6 # I4: 5,9 => UNS * INC # F6: 6 # I4: 7 => UNS * INC # F6: 6 # H6: 4,5 => UNS * INC # F6: 6 # H6: 2,9 => UNS * INC # F6: 6 # F5: 4,5 => UNS * INC # F6: 6 # F5: 1,7 => UNS * INC # F6: 6 # H1: 4,5 => UNS * INC # F6: 6 # H1: 1,2,3 => UNS * INC # F6: 6 => UNS * CNT 30 HDP CHAINS / 30 HYP OPENED
Full list of HDP chains traversed for G9,H9: 9..:
* INC # G9: 9 # H1: 1,2 => UNS * INC # G9: 9 # G2: 1,2 => UNS * INC # G9: 9 # H2: 1,2 => UNS * INC # G9: 9 # A3: 1,2 => UNS * INC # G9: 9 # B3: 1,2 => UNS * INC # G9: 9 # E3: 1,2 => UNS * INC # G9: 9 # G6: 2,7 => UNS * INC # G9: 9 # G6: 4 => UNS * INC # G9: 9 # B4: 2,7 => UNS * INC # G9: 9 # C4: 2,7 => UNS * INC # G9: 9 # H6: 4,5 => UNS * INC # G9: 9 # H6: 2,9 => UNS * INC # G9: 9 # F5: 4,5 => UNS * INC # G9: 9 # F5: 1,7 => UNS * INC # G9: 9 # H1: 4,5 => UNS * INC # G9: 9 # H1: 1,2,3 => UNS * INC # G9: 9 => UNS * INC # H9: 9 # H6: 4,5 => UNS * INC # H9: 9 # H6: 2 => UNS * INC # H9: 9 # F5: 4,5 => UNS * INC # H9: 9 # F5: 1,7 => UNS * INC # H9: 9 # H1: 4,5 => UNS * INC # H9: 9 # H1: 1,2,3 => UNS * INC # H9: 9 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for G2,I2: 8..:
* INC # G2: 8 # H6: 4,5 => UNS * INC # G2: 8 # H6: 2,9 => UNS * INC # G2: 8 # F5: 4,5 => UNS * INC # G2: 8 # F5: 1,7 => UNS * INC # G2: 8 # H1: 4,5 => UNS * INC # G2: 8 # H1: 1,2,3 => UNS * INC # G2: 8 # G9: 1,7 => UNS * INC # G2: 8 # G9: 4,9 => UNS * INC # G2: 8 # C7: 1,7 => UNS * INC # G2: 8 # C7: 2,5,6,8 => UNS * INC # G2: 8 => UNS * INC # I2: 8 # H6: 4,5 => UNS * INC # I2: 8 # H6: 2,9 => UNS * INC # I2: 8 # F5: 4,5 => UNS * INC # I2: 8 # F5: 1,7 => UNS * INC # I2: 8 # H1: 4,5 => UNS * INC # I2: 8 # H1: 1,2,3 => UNS * INC # I2: 8 # I8: 3,7 => UNS * INC # I2: 8 # I8: 4 => UNS * INC # I2: 8 # E7: 3,7 => UNS * INC # I2: 8 # E7: 2,8 => UNS * INC # I2: 8 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for H7,H8: 6..:
* INC # H7: 6 # H6: 4,5 => UNS * INC # H7: 6 # H6: 2,9 => UNS * INC # H7: 6 # F5: 4,5 => UNS * INC # H7: 6 # F5: 1,7 => UNS * INC # H7: 6 # H1: 4,5 => UNS * INC # H7: 6 # H1: 1,2,3 => UNS * INC # H7: 6 # I8: 3,4 => UNS * DIS # H7: 6 # H9: 3,4 => CTR => H9: 1,9 * INC # H7: 6 + H9: 1,9 # I8: 3,4 => UNS * INC # H7: 6 + H9: 1,9 # I8: 7,8 => UNS * INC # H7: 6 + H9: 1,9 # E8: 3,4 => UNS * INC # H7: 6 + H9: 1,9 # E8: 2,7,8 => UNS * INC # H7: 6 + H9: 1,9 # H1: 3,4 => UNS * INC # H7: 6 + H9: 1,9 # H2: 3,4 => UNS * INC # H7: 6 + H9: 1,9 # H6: 4,5 => UNS * INC # H7: 6 + H9: 1,9 # H6: 2,9 => UNS * INC # H7: 6 + H9: 1,9 # F5: 4,5 => UNS * INC # H7: 6 + H9: 1,9 # F5: 1,7 => UNS * INC # H7: 6 + H9: 1,9 # H1: 4,5 => UNS * INC # H7: 6 + H9: 1,9 # H1: 1,2,3 => UNS * INC # H7: 6 + H9: 1,9 # I8: 3,4 => UNS * INC # H7: 6 + H9: 1,9 # I8: 7,8 => UNS * INC # H7: 6 + H9: 1,9 # E8: 3,4 => UNS * INC # H7: 6 + H9: 1,9 # E8: 2,7,8 => UNS * INC # H7: 6 + H9: 1,9 # H1: 3,4 => UNS * INC # H7: 6 + H9: 1,9 # H2: 3,4 => UNS * INC # H7: 6 + H9: 1,9 # G9: 1,9 => UNS * INC # H7: 6 + H9: 1,9 # G9: 4,7,8 => UNS * INC # H7: 6 + H9: 1,9 # H2: 1,9 => UNS * INC # H7: 6 + H9: 1,9 # H2: 2,3,4 => UNS * INC # H7: 6 + H9: 1,9 => UNS * INC # H8: 6 # H6: 4,5 => UNS * INC # H8: 6 # H6: 2,9 => UNS * INC # H8: 6 # F5: 4,5 => UNS * INC # H8: 6 # F5: 1,7 => UNS * INC # H8: 6 # H1: 4,5 => UNS * INC # H8: 6 # H1: 1,2,3 => UNS * INC # H8: 6 # H9: 1,3 => UNS * INC # H8: 6 # H9: 4,9 => UNS * INC # H8: 6 # A7: 1,3 => UNS * INC # H8: 6 # A7: 2,5,6,8 => UNS * INC # H8: 6 # H1: 1,3 => UNS * INC # H8: 6 # H2: 1,3 => UNS * INC # H8: 6 => UNS * CNT 44 HDP CHAINS / 44 HYP OPENED
A5. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for F2,F6: 6..:
* INC # F2: 6 # C1: 1,2 => UNS * INC # F2: 6 # B2: 1,2 => UNS * INC # F2: 6 # A3: 1,2 => UNS * INC # F2: 6 # B3: 1,2 => UNS * INC # F2: 6 # G2: 1,2 => UNS * INC # F2: 6 # H2: 1,2 => UNS * INC # F2: 6 # C4: 1,2 => UNS * INC # F2: 6 # C7: 1,2 => UNS * INC # F2: 6 # D2: 3,9 => UNS * INC # F2: 6 # E3: 3,9 => UNS * INC # F2: 6 # I3: 3,9 => UNS * INC # F2: 6 # I3: 5 => UNS * INC # F2: 6 # H6: 4,5 => UNS * INC # F2: 6 # H6: 2,9 => UNS * INC # F2: 6 # F5: 4,5 => UNS * INC # F2: 6 # F5: 1,7 => UNS * INC # F2: 6 # H1: 4,5 => UNS * INC # F2: 6 # H1: 1,2,3 => UNS * PRF # F2: 6 # C1: 1,2 # E1: 1,2 => SOL * STA # F2: 6 # C1: 1,2 + E1: 1,2 * CNT 19 HDP CHAINS / 21 HYP OPENED