Analysis of xx-ph-00698108-12_12_19-base.sdk
Contents
Original Sudoku
level: deep
position: ........1..2..3....4..5..2...4.6.....6.7.52..5......6...8...9...5.87..4..7..2..5. initial
Autosolve
position: ..5.....1..2..3....4..5..2...4.6.....6.7.52..5......6...85..9...5.87..4..7..2..5. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000011
List of important HDP chains detected for A8,I8: 2..:
* DIS # A8: 2 # I2: 8,9 => CTR => I2: 4,5,6,7 * CNT 1 HDP CHAINS / 54 HYP OPENED
List of important HDP chains detected for I7,I8: 2..:
* DIS # I7: 2 # I2: 8,9 => CTR => I2: 4,5,6,7 * CNT 1 HDP CHAINS / 54 HYP OPENED
List of important HDP chains detected for E5,I5: 4..:
* DIS # E5: 4 # F1: 8,9 => CTR => F1: 2,4,6,7 * CNT 1 HDP CHAINS / 31 HYP OPENED
List of important HDP chains detected for C3,C6: 7..:
* DIS # C3: 7 # A7: 1,3 => CTR => A7: 2,4 * PRF # C3: 7 + A7: 2,4 # H7: 1,3 => SOL * STA # C3: 7 + A7: 2,4 + H7: 1,3 * CNT 2 HDP CHAINS / 8 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
| ........1..2..3....4..5..2...4.6.....6.7.52..5......6...8...9...5.87..4..7..2..5. | initial |
| ..5.....1..2..3....4..5..2...4.6.....6.7.52..5......6...85..9...5.87..4..7..2..5. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D1,F1: 2.. / D1 = 2 => 0 pairs (_) / F1 = 2 => 0 pairs (_) I7,I8: 2.. / I7 = 2 => 3 pairs (_) / I8 = 2 => 0 pairs (_) A8,I8: 2.. / A8 = 2 => 3 pairs (_) / I8 = 2 => 0 pairs (_) E7,D9: 3.. / E7 = 3 => 2 pairs (_) / D9 = 3 => 2 pairs (_) A7,A9: 4.. / A7 = 4 => 2 pairs (_) / A9 = 4 => 0 pairs (_) E5,I5: 4.. / E5 = 4 => 2 pairs (_) / I5 = 4 => 0 pairs (_) G2,I2: 5.. / G2 = 5 => 0 pairs (_) / I2 = 5 => 0 pairs (_) G4,I4: 5.. / G4 = 5 => 0 pairs (_) / I4 = 5 => 0 pairs (_) G2,G4: 5.. / G2 = 5 => 0 pairs (_) / G4 = 5 => 0 pairs (_) I2,I4: 5.. / I2 = 5 => 0 pairs (_) / I4 = 5 => 0 pairs (_) F1,F3: 7.. / F1 = 7 => 0 pairs (_) / F3 = 7 => 0 pairs (_) A4,C6: 7.. / A4 = 7 => 1 pairs (_) / C6 = 7 => 0 pairs (_) H7,I7: 7.. / H7 = 7 => 1 pairs (_) / I7 = 7 => 1 pairs (_) C3,C6: 7.. / C3 = 7 => 1 pairs (_) / C6 = 7 => 0 pairs (_) G9,I9: 8.. / G9 = 8 => 1 pairs (_) / I9 = 8 => 0 pairs (_) * DURATION: 0:00:10.489505 START: 01:43:17.516081 END: 01:43:28.005586 2020-10-22 * CP COUNT: (15) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A8,I8: 2.. / A8 = 2 ==> 3 pairs (_) / I8 = 2 ==> 0 pairs (_) I7,I8: 2.. / I7 = 2 ==> 3 pairs (_) / I8 = 2 ==> 0 pairs (_) E7,D9: 3.. / E7 = 3 ==> 2 pairs (_) / D9 = 3 ==> 2 pairs (_) E5,I5: 4.. / E5 = 4 ==> 2 pairs (_) / I5 = 4 ==> 0 pairs (_) A7,A9: 4.. / A7 = 4 ==> 2 pairs (_) / A9 = 4 ==> 0 pairs (_) H7,I7: 7.. / H7 = 7 ==> 1 pairs (_) / I7 = 7 ==> 1 pairs (_) G9,I9: 8.. / G9 = 8 ==> 1 pairs (_) / I9 = 8 ==> 0 pairs (_) C3,C6: 7.. / C3 = 7 ==> 0 pairs (*) / C6 = 7 => 0 pairs (X) * DURATION: 0:01:53.719945 START: 01:43:28.006351 END: 01:45:21.726296 2020-10-22 * REASONING A8,I8: 2.. * DIS # A8: 2 # I2: 8,9 => CTR => I2: 4,5,6,7 * CNT 1 HDP CHAINS / 54 HYP OPENED * REASONING I7,I8: 2.. * DIS # I7: 2 # I2: 8,9 => CTR => I2: 4,5,6,7 * CNT 1 HDP CHAINS / 54 HYP OPENED * REASONING E5,I5: 4.. * DIS # E5: 4 # F1: 8,9 => CTR => F1: 2,4,6,7 * CNT 1 HDP CHAINS / 31 HYP OPENED * REASONING C3,C6: 7.. * DIS # C3: 7 # A7: 1,3 => CTR => A7: 2,4 * PRF # C3: 7 + A7: 2,4 # H7: 1,3 => SOL * STA # C3: 7 + A7: 2,4 + H7: 1,3 * CNT 2 HDP CHAINS / 8 HYP OPENED * DCP COUNT: (8) * SOLUTION FOUND
Header Info
698108;12_12_19;dob;23;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A8,I8: 2..:
* INC # A8: 2 # H1: 8,9 => UNS * DIS # A8: 2 # I2: 8,9 => CTR => I2: 4,5,6,7 * INC # A8: 2 + I2: 4,5,6,7 # I3: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # A2: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # B2: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # E2: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # H4: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # H5: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # H1: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # I3: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # A2: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # B2: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # E2: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # H4: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # H5: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # A7: 1,3 => UNS * INC # A8: 2 + I2: 4,5,6,7 # C8: 1,3 => UNS * INC # A8: 2 + I2: 4,5,6,7 # A9: 1,3 => UNS * INC # A8: 2 + I2: 4,5,6,7 # C9: 1,3 => UNS * INC # A8: 2 + I2: 4,5,6,7 # E7: 1,3 => UNS * INC # A8: 2 + I2: 4,5,6,7 # E7: 4 => UNS * INC # A8: 2 + I2: 4,5,6,7 # B4: 1,3 => UNS * INC # A8: 2 + I2: 4,5,6,7 # B6: 1,3 => UNS * INC # A8: 2 + I2: 4,5,6,7 # G8: 3,6 => UNS * INC # A8: 2 + I2: 4,5,6,7 # G9: 3,6 => UNS * INC # A8: 2 + I2: 4,5,6,7 # I9: 3,6 => UNS * INC # A8: 2 + I2: 4,5,6,7 # C8: 3,6 => UNS * INC # A8: 2 + I2: 4,5,6,7 # C8: 1,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # I3: 3,6 => UNS * INC # A8: 2 + I2: 4,5,6,7 # I3: 7,8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # H1: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # I3: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # A2: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # B2: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # E2: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # H4: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # H5: 8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # A7: 1,3 => UNS * INC # A8: 2 + I2: 4,5,6,7 # C8: 1,3 => UNS * INC # A8: 2 + I2: 4,5,6,7 # A9: 1,3 => UNS * INC # A8: 2 + I2: 4,5,6,7 # C9: 1,3 => UNS * INC # A8: 2 + I2: 4,5,6,7 # E7: 1,3 => UNS * INC # A8: 2 + I2: 4,5,6,7 # E7: 4 => UNS * INC # A8: 2 + I2: 4,5,6,7 # B4: 1,3 => UNS * INC # A8: 2 + I2: 4,5,6,7 # B6: 1,3 => UNS * INC # A8: 2 + I2: 4,5,6,7 # G8: 3,6 => UNS * INC # A8: 2 + I2: 4,5,6,7 # G9: 3,6 => UNS * INC # A8: 2 + I2: 4,5,6,7 # I9: 3,6 => UNS * INC # A8: 2 + I2: 4,5,6,7 # C8: 3,6 => UNS * INC # A8: 2 + I2: 4,5,6,7 # C8: 1,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 # I3: 3,6 => UNS * INC # A8: 2 + I2: 4,5,6,7 # I3: 7,8,9 => UNS * INC # A8: 2 + I2: 4,5,6,7 => UNS * INC # I8: 2 => UNS * CNT 54 HDP CHAINS / 54 HYP OPENED
Full list of HDP chains traversed for I7,I8: 2..:
* INC # I7: 2 # H1: 8,9 => UNS * DIS # I7: 2 # I2: 8,9 => CTR => I2: 4,5,6,7 * INC # I7: 2 + I2: 4,5,6,7 # I3: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # A2: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # B2: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # E2: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # H4: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # H5: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # H1: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # I3: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # A2: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # B2: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # E2: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # H4: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # H5: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # A7: 1,3 => UNS * INC # I7: 2 + I2: 4,5,6,7 # C8: 1,3 => UNS * INC # I7: 2 + I2: 4,5,6,7 # A9: 1,3 => UNS * INC # I7: 2 + I2: 4,5,6,7 # C9: 1,3 => UNS * INC # I7: 2 + I2: 4,5,6,7 # E7: 1,3 => UNS * INC # I7: 2 + I2: 4,5,6,7 # E7: 4 => UNS * INC # I7: 2 + I2: 4,5,6,7 # B4: 1,3 => UNS * INC # I7: 2 + I2: 4,5,6,7 # B6: 1,3 => UNS * INC # I7: 2 + I2: 4,5,6,7 # G8: 3,6 => UNS * INC # I7: 2 + I2: 4,5,6,7 # G9: 3,6 => UNS * INC # I7: 2 + I2: 4,5,6,7 # I9: 3,6 => UNS * INC # I7: 2 + I2: 4,5,6,7 # C8: 3,6 => UNS * INC # I7: 2 + I2: 4,5,6,7 # C8: 1,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # I3: 3,6 => UNS * INC # I7: 2 + I2: 4,5,6,7 # I3: 7,8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # H1: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # I3: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # A2: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # B2: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # E2: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # H4: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # H5: 8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # A7: 1,3 => UNS * INC # I7: 2 + I2: 4,5,6,7 # C8: 1,3 => UNS * INC # I7: 2 + I2: 4,5,6,7 # A9: 1,3 => UNS * INC # I7: 2 + I2: 4,5,6,7 # C9: 1,3 => UNS * INC # I7: 2 + I2: 4,5,6,7 # E7: 1,3 => UNS * INC # I7: 2 + I2: 4,5,6,7 # E7: 4 => UNS * INC # I7: 2 + I2: 4,5,6,7 # B4: 1,3 => UNS * INC # I7: 2 + I2: 4,5,6,7 # B6: 1,3 => UNS * INC # I7: 2 + I2: 4,5,6,7 # G8: 3,6 => UNS * INC # I7: 2 + I2: 4,5,6,7 # G9: 3,6 => UNS * INC # I7: 2 + I2: 4,5,6,7 # I9: 3,6 => UNS * INC # I7: 2 + I2: 4,5,6,7 # C8: 3,6 => UNS * INC # I7: 2 + I2: 4,5,6,7 # C8: 1,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 # I3: 3,6 => UNS * INC # I7: 2 + I2: 4,5,6,7 # I3: 7,8,9 => UNS * INC # I7: 2 + I2: 4,5,6,7 => UNS * INC # I8: 2 => UNS * CNT 54 HDP CHAINS / 54 HYP OPENED
Full list of HDP chains traversed for E7,D9: 3..:
* INC # E7: 3 # A7: 1,2 => UNS * INC # E7: 3 # A8: 1,2 => UNS * INC # E7: 3 # B4: 1,2 => UNS * INC # E7: 3 # B6: 1,2 => UNS * INC # E7: 3 # H4: 1,7 => UNS * INC # E7: 3 # H4: 3,8,9 => UNS * INC # E7: 3 => UNS * INC # D9: 3 # F7: 1,4 => UNS * INC # D9: 3 # F9: 1,4 => UNS * INC # D9: 3 # A7: 1,4 => UNS * INC # D9: 3 # A7: 2,3,6 => UNS * INC # D9: 3 # E2: 1,4 => UNS * INC # D9: 3 # E5: 1,4 => UNS * INC # D9: 3 # E6: 1,4 => UNS * INC # D9: 3 # G9: 6,8 => UNS * INC # D9: 3 # G9: 1 => UNS * INC # D9: 3 # I2: 6,8 => UNS * INC # D9: 3 # I3: 6,8 => UNS * INC # D9: 3 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for E5,I5: 4..:
* DIS # E5: 4 # F1: 8,9 => CTR => F1: 2,4,6,7 * INC # E5: 4 + F1: 2,4,6,7 # E2: 8,9 => UNS * INC # E5: 4 + F1: 2,4,6,7 # F3: 8,9 => UNS * INC # E5: 4 + F1: 2,4,6,7 # A1: 8,9 => UNS * INC # E5: 4 + F1: 2,4,6,7 # B1: 8,9 => UNS * INC # E5: 4 + F1: 2,4,6,7 # H1: 8,9 => UNS * INC # E5: 4 + F1: 2,4,6,7 # E6: 8,9 => UNS * INC # E5: 4 + F1: 2,4,6,7 # E6: 1,3 => UNS * INC # E5: 4 + F1: 2,4,6,7 # D9: 1,3 => UNS * INC # E5: 4 + F1: 2,4,6,7 # D9: 4,6,9 => UNS * INC # E5: 4 + F1: 2,4,6,7 # A7: 1,3 => UNS * INC # E5: 4 + F1: 2,4,6,7 # B7: 1,3 => UNS * INC # E5: 4 + F1: 2,4,6,7 # H7: 1,3 => UNS * INC # E5: 4 + F1: 2,4,6,7 # E6: 1,3 => UNS * INC # E5: 4 + F1: 2,4,6,7 # E6: 8,9 => UNS * INC # E5: 4 + F1: 2,4,6,7 # E2: 8,9 => UNS * INC # E5: 4 + F1: 2,4,6,7 # F3: 8,9 => UNS * INC # E5: 4 + F1: 2,4,6,7 # A1: 8,9 => UNS * INC # E5: 4 + F1: 2,4,6,7 # B1: 8,9 => UNS * INC # E5: 4 + F1: 2,4,6,7 # H1: 8,9 => UNS * INC # E5: 4 + F1: 2,4,6,7 # E6: 8,9 => UNS * INC # E5: 4 + F1: 2,4,6,7 # E6: 1,3 => UNS * INC # E5: 4 + F1: 2,4,6,7 # D9: 1,3 => UNS * INC # E5: 4 + F1: 2,4,6,7 # D9: 4,6,9 => UNS * INC # E5: 4 + F1: 2,4,6,7 # A7: 1,3 => UNS * INC # E5: 4 + F1: 2,4,6,7 # B7: 1,3 => UNS * INC # E5: 4 + F1: 2,4,6,7 # H7: 1,3 => UNS * INC # E5: 4 + F1: 2,4,6,7 # E6: 1,3 => UNS * INC # E5: 4 + F1: 2,4,6,7 # E6: 8,9 => UNS * INC # E5: 4 + F1: 2,4,6,7 => UNS * INC # I5: 4 => UNS * CNT 31 HDP CHAINS / 31 HYP OPENED
Full list of HDP chains traversed for A7,A9: 4..:
* INC # A7: 4 # D9: 1,3 => UNS * INC # A7: 4 # D9: 4,6,9 => UNS * INC # A7: 4 # B7: 1,3 => UNS * INC # A7: 4 # H7: 1,3 => UNS * INC # A7: 4 # E5: 1,3 => UNS * INC # A7: 4 # E6: 1,3 => UNS * INC # A7: 4 # F8: 1,6 => UNS * INC # A7: 4 # D9: 1,6 => UNS * INC # A7: 4 # F9: 1,6 => UNS * INC # A7: 4 # F3: 1,6 => UNS * INC # A7: 4 # F3: 7,8,9 => UNS * INC # A7: 4 => UNS * INC # A9: 4 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for H7,I7: 7..:
* INC # H7: 7 # H1: 8,9 => UNS * INC # H7: 7 # I2: 8,9 => UNS * INC # H7: 7 # I3: 8,9 => UNS * INC # H7: 7 # A2: 8,9 => UNS * INC # H7: 7 # B2: 8,9 => UNS * INC # H7: 7 # E2: 8,9 => UNS * INC # H7: 7 # H4: 8,9 => UNS * INC # H7: 7 # H5: 8,9 => UNS * INC # H7: 7 => UNS * INC # I7: 7 # G8: 1,3 => UNS * INC # I7: 7 # G9: 1,3 => UNS * INC # I7: 7 # A7: 1,3 => UNS * INC # I7: 7 # B7: 1,3 => UNS * INC # I7: 7 # E7: 1,3 => UNS * INC # I7: 7 # H4: 1,3 => UNS * INC # I7: 7 # H5: 1,3 => UNS * INC # I7: 7 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for G9,I9: 8..:
* INC # G9: 8 # I7: 3,6 => UNS * INC # G9: 8 # G8: 3,6 => UNS * INC # G9: 8 # I8: 3,6 => UNS * INC # G9: 8 # A9: 3,6 => UNS * INC # G9: 8 # C9: 3,6 => UNS * INC # G9: 8 # D9: 3,6 => UNS * INC # G9: 8 # I3: 3,6 => UNS * INC # G9: 8 # I3: 7,8,9 => UNS * INC # G9: 8 => UNS * INC # I9: 8 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for C3,C6: 7..:
* DIS # C3: 7 # A7: 1,3 => CTR => A7: 2,4 * INC # C3: 7 + A7: 2,4 # A8: 1,3 => UNS * INC # C3: 7 + A7: 2,4 # C8: 1,3 => UNS * INC # C3: 7 + A7: 2,4 # A9: 1,3 => UNS * INC # C3: 7 + A7: 2,4 # C9: 1,3 => UNS * INC # C3: 7 + A7: 2,4 # E7: 1,3 => UNS * PRF # C3: 7 + A7: 2,4 # H7: 1,3 => SOL * STA # C3: 7 + A7: 2,4 + H7: 1,3 * CNT 7 HDP CHAINS / 8 HYP OPENED