Analysis of xx-ph-00712925-12_12_19-base.sdk
Contents
Original Sudoku
level: deep
position: ........1.......2...3.145....5.6..7..6..458..8.49.......6..3....3.1....65...863.. initial
Autosolve
position: ........1.......2...3.145....5.6..7..6..458..8.49.......6..3....3.1....65...863.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for G6,H6: 6..:
* DIS # H6: 6 # D1: 2,8 => CTR => D1: 3,5,6,7 * CNT 1 HDP CHAINS / 56 HYP OPENED
List of important HDP chains detected for A4,A5: 3..:
* DIS # A5: 3 # D1: 2,7 => CTR => D1: 3,5,6,8 * DIS # A5: 3 + D1: 3,5,6,8 # I4: 2,9 => CTR => I4: 3,4 * CNT 2 HDP CHAINS / 56 HYP OPENED
List of important HDP chains detected for I6,I7: 5..:
* PRF # I7: 5 # H1: 6,9 => SOL * STA # I7: 5 + H1: 6,9 * CNT 1 HDP CHAINS / 2 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...3.145....5.6..7..6..458..8.49.......6..3....3.1....65...863.. | initial |
| ........1.......2...3.145....5.6..7..6..458..8.49.......6..3....3.1....65...863.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F4,F6: 1.. / F4 = 1 => 2 pairs (_) / F6 = 1 => 3 pairs (_) H1,I2: 3.. / H1 = 3 => 1 pairs (_) / I2 = 3 => 2 pairs (_) A4,A5: 3.. / A4 = 3 => 1 pairs (_) / A5 = 3 => 3 pairs (_) G4,I4: 4.. / G4 = 4 => 2 pairs (_) / I4 = 4 => 0 pairs (_) D7,D9: 4.. / D7 = 4 => 1 pairs (_) / D9 = 4 => 1 pairs (_) B1,B2: 5.. / B1 = 5 => 0 pairs (_) / B2 = 5 => 0 pairs (_) H6,I6: 5.. / H6 = 5 => 2 pairs (_) / I6 = 5 => 0 pairs (_) E8,H8: 5.. / E8 = 5 => 0 pairs (_) / H8 = 5 => 0 pairs (_) I6,I7: 5.. / I6 = 5 => 0 pairs (_) / I7 = 5 => 2 pairs (_) G6,H6: 6.. / G6 = 6 => 0 pairs (_) / H6 = 6 => 4 pairs (_) D4,F4: 8.. / D4 = 8 => 1 pairs (_) / F4 = 8 => 4 pairs (_) B7,C8: 8.. / B7 = 8 => 1 pairs (_) / C8 = 8 => 0 pairs (_) C8,H8: 8.. / C8 = 8 => 0 pairs (_) / H8 = 8 => 1 pairs (_) * DURATION: 0:00:08.136513 START: 04:50:44.953123 END: 04:50:53.089636 2020-12-30 * CP COUNT: (13) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D4,F4: 8.. / D4 = 8 ==> 1 pairs (_) / F4 = 8 ==> 4 pairs (_) G6,H6: 6.. / G6 = 6 ==> 0 pairs (_) / H6 = 6 ==> 4 pairs (_) F4,F6: 1.. / F4 = 1 ==> 2 pairs (_) / F6 = 1 ==> 3 pairs (_) A4,A5: 3.. / A4 = 3 ==> 1 pairs (_) / A5 = 3 ==> 4 pairs (_) H1,I2: 3.. / H1 = 3 ==> 1 pairs (_) / I2 = 3 ==> 2 pairs (_) I6,I7: 5.. / I6 = 5 => 0 pairs (X) / I7 = 5 ==> 0 pairs (*) * DURATION: 0:01:34.414836 START: 04:50:53.090154 END: 04:52:27.504990 2020-12-30 * REASONING G6,H6: 6.. * DIS # H6: 6 # D1: 2,8 => CTR => D1: 3,5,6,7 * CNT 1 HDP CHAINS / 56 HYP OPENED * REASONING A4,A5: 3.. * DIS # A5: 3 # D1: 2,7 => CTR => D1: 3,5,6,8 * DIS # A5: 3 + D1: 3,5,6,8 # I4: 2,9 => CTR => I4: 3,4 * CNT 2 HDP CHAINS / 56 HYP OPENED * REASONING I6,I7: 5.. * PRF # I7: 5 # H1: 6,9 => SOL * STA # I7: 5 + H1: 6,9 * CNT 1 HDP CHAINS / 2 HYP OPENED * DCP COUNT: (6) * SOLUTION FOUND
Header Info
712925;12_12_19;dob;25;11.30;11.30;9.80
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D4,F4: 8..:
* INC # F4: 8 # E1: 7,9 => UNS * INC # F4: 8 # F1: 7,9 => UNS * INC # F4: 8 # E2: 7,9 => UNS * INC # F4: 8 # A2: 7,9 => UNS * INC # F4: 8 # B2: 7,9 => UNS * INC # F4: 8 # C2: 7,9 => UNS * INC # F4: 8 # G2: 7,9 => UNS * INC # F4: 8 # I2: 7,9 => UNS * INC # F4: 8 # F8: 7,9 => UNS * INC # F4: 8 # F8: 2 => UNS * INC # F4: 8 # A5: 2,7 => UNS * INC # F4: 8 # C5: 2,7 => UNS * INC # F4: 8 # E6: 2,7 => UNS * INC # F4: 8 # E6: 3 => UNS * INC # F4: 8 # B1: 2,7 => UNS * INC # F4: 8 # B3: 2,7 => UNS * INC # F4: 8 # B7: 2,7 => UNS * INC # F4: 8 # B9: 2,7 => UNS * INC # F4: 8 # D5: 2,3 => UNS * INC # F4: 8 # E6: 2,3 => UNS * INC # F4: 8 # A4: 2,3 => UNS * INC # F4: 8 # I4: 2,3 => UNS * INC # F4: 8 # D1: 2,3 => UNS * INC # F4: 8 # D1: 5,6,7,8 => UNS * INC # F4: 8 => UNS * INC # D4: 8 # F6: 1,2 => UNS * INC # D4: 8 # F6: 7 => UNS * INC # D4: 8 # A4: 1,2 => UNS * INC # D4: 8 # B4: 1,2 => UNS * INC # D4: 8 # G4: 1,2 => UNS * INC # D4: 8 => UNS * CNT 31 HDP CHAINS / 31 HYP OPENED
Full list of HDP chains traversed for G6,H6: 6..:
* INC # H6: 6 # H1: 8,9 => UNS * INC # H6: 6 # I2: 8,9 => UNS * INC # H6: 6 # I3: 8,9 => UNS * INC # H6: 6 # B3: 8,9 => UNS * INC # H6: 6 # B3: 2,7 => UNS * INC # H6: 6 # H7: 8,9 => UNS * INC # H6: 6 # H8: 8,9 => UNS * INC # H6: 6 # F4: 2,8 => UNS * INC # H6: 6 # F4: 1 => UNS * DIS # H6: 6 # D1: 2,8 => CTR => D1: 3,5,6,7 * INC # H6: 6 + D1: 3,5,6,7 # D3: 2,8 => UNS * INC # H6: 6 + D1: 3,5,6,7 # D3: 2,8 => UNS * INC # H6: 6 + D1: 3,5,6,7 # D3: 6,7 => UNS * INC # H6: 6 + D1: 3,5,6,7 # F4: 2,8 => UNS * INC # H6: 6 + D1: 3,5,6,7 # F4: 1 => UNS * INC # H6: 6 + D1: 3,5,6,7 # D3: 2,8 => UNS * INC # H6: 6 + D1: 3,5,6,7 # D3: 6,7 => UNS * INC # H6: 6 + D1: 3,5,6,7 # F6: 2,7 => UNS * INC # H6: 6 + D1: 3,5,6,7 # F6: 1 => UNS * INC # H6: 6 + D1: 3,5,6,7 # A5: 2,7 => UNS * INC # H6: 6 + D1: 3,5,6,7 # C5: 2,7 => UNS * INC # H6: 6 + D1: 3,5,6,7 # D3: 2,7 => UNS * INC # H6: 6 + D1: 3,5,6,7 # D7: 2,7 => UNS * INC # H6: 6 + D1: 3,5,6,7 # D9: 2,7 => UNS * INC # H6: 6 + D1: 3,5,6,7 # G4: 1,2 => UNS * INC # H6: 6 + D1: 3,5,6,7 # G4: 4,9 => UNS * INC # H6: 6 + D1: 3,5,6,7 # B6: 1,2 => UNS * INC # H6: 6 + D1: 3,5,6,7 # F6: 1,2 => UNS * INC # H6: 6 + D1: 3,5,6,7 # G7: 1,2 => UNS * INC # H6: 6 + D1: 3,5,6,7 # G7: 4,7,9 => UNS * INC # H6: 6 + D1: 3,5,6,7 # H1: 8,9 => UNS * INC # H6: 6 + D1: 3,5,6,7 # I2: 8,9 => UNS * INC # H6: 6 + D1: 3,5,6,7 # I3: 8,9 => UNS * INC # H6: 6 + D1: 3,5,6,7 # B3: 8,9 => UNS * INC # H6: 6 + D1: 3,5,6,7 # B3: 2,7 => UNS * INC # H6: 6 + D1: 3,5,6,7 # H7: 8,9 => UNS * INC # H6: 6 + D1: 3,5,6,7 # H8: 8,9 => UNS * INC # H6: 6 + D1: 3,5,6,7 # F4: 2,8 => UNS * INC # H6: 6 + D1: 3,5,6,7 # F4: 1 => UNS * INC # H6: 6 + D1: 3,5,6,7 # D3: 2,8 => UNS * INC # H6: 6 + D1: 3,5,6,7 # D3: 6,7 => UNS * INC # H6: 6 + D1: 3,5,6,7 # F6: 2,7 => UNS * INC # H6: 6 + D1: 3,5,6,7 # F6: 1 => UNS * INC # H6: 6 + D1: 3,5,6,7 # A5: 2,7 => UNS * INC # H6: 6 + D1: 3,5,6,7 # C5: 2,7 => UNS * INC # H6: 6 + D1: 3,5,6,7 # D3: 2,7 => UNS * INC # H6: 6 + D1: 3,5,6,7 # D7: 2,7 => UNS * INC # H6: 6 + D1: 3,5,6,7 # D9: 2,7 => UNS * INC # H6: 6 + D1: 3,5,6,7 # G4: 1,2 => UNS * INC # H6: 6 + D1: 3,5,6,7 # G4: 4,9 => UNS * INC # H6: 6 + D1: 3,5,6,7 # B6: 1,2 => UNS * INC # H6: 6 + D1: 3,5,6,7 # F6: 1,2 => UNS * INC # H6: 6 + D1: 3,5,6,7 # G7: 1,2 => UNS * INC # H6: 6 + D1: 3,5,6,7 # G7: 4,7,9 => UNS * INC # H6: 6 + D1: 3,5,6,7 => UNS * INC # G6: 6 => UNS * CNT 56 HDP CHAINS / 56 HYP OPENED
Full list of HDP chains traversed for F4,F6: 1..:
* INC # F6: 1 # A5: 2,7 => UNS * INC # F6: 1 # C5: 2,7 => UNS * INC # F6: 1 # E6: 2,7 => UNS * INC # F6: 1 # E6: 3 => UNS * INC # F6: 1 # B1: 2,7 => UNS * INC # F6: 1 # B3: 2,7 => UNS * INC # F6: 1 # B7: 2,7 => UNS * INC # F6: 1 # B9: 2,7 => UNS * INC # F6: 1 # D4: 2,8 => UNS * INC # F6: 1 # D4: 3 => UNS * INC # F6: 1 # F1: 2,8 => UNS * INC # F6: 1 # F1: 7,9 => UNS * INC # F6: 1 => UNS * INC # F4: 1 # A4: 2,9 => UNS * INC # F4: 1 # A5: 2,9 => UNS * INC # F4: 1 # C5: 2,9 => UNS * INC # F4: 1 # G4: 2,9 => UNS * INC # F4: 1 # I4: 2,9 => UNS * INC # F4: 1 # B1: 2,9 => UNS * INC # F4: 1 # B3: 2,9 => UNS * INC # F4: 1 # B7: 2,9 => UNS * INC # F4: 1 # B9: 2,9 => UNS * INC # F4: 1 # D5: 2,7 => UNS * INC # F4: 1 # E6: 2,7 => UNS * INC # F4: 1 # B6: 2,7 => UNS * INC # F4: 1 # B6: 1 => UNS * INC # F4: 1 # F1: 2,7 => UNS * INC # F4: 1 # F8: 2,7 => UNS * INC # F4: 1 => UNS * CNT 29 HDP CHAINS / 29 HYP OPENED
Full list of HDP chains traversed for A4,A5: 3..:
* INC # A5: 3 # E6: 2,7 => UNS * INC # A5: 3 # F6: 2,7 => UNS * INC # A5: 3 # C5: 2,7 => UNS * INC # A5: 3 # C5: 1,9 => UNS * DIS # A5: 3 # D1: 2,7 => CTR => D1: 3,5,6,8 * INC # A5: 3 + D1: 3,5,6,8 # D3: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 # D7: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 # D9: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 # E6: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 # F6: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 # C5: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 # C5: 1,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 # D3: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 # D7: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 # D9: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 # G4: 1,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 # G4: 2,4 => UNS * INC # A5: 3 + D1: 3,5,6,8 # C5: 1,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 # C5: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 # H7: 1,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 # H9: 1,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 # G4: 2,9 => UNS * DIS # A5: 3 + D1: 3,5,6,8 # I4: 2,9 => CTR => I4: 3,4 * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # G4: 2,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # G4: 1,4 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # C5: 2,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # C5: 1,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # I7: 2,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # I9: 2,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # E6: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # F6: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # C5: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # C5: 1,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # D3: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # D7: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # D9: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # I2: 3,4 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # I2: 7,8,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # G4: 1,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # G4: 2,4 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # C5: 1,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # C5: 2,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # H7: 1,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # H9: 1,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # G4: 2,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # G4: 1,4 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # C5: 2,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # C5: 1,7 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # I7: 2,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 # I9: 2,9 => UNS * INC # A5: 3 + D1: 3,5,6,8 + I4: 3,4 => UNS * INC # A4: 3 # F4: 2,8 => UNS * INC # A4: 3 # F4: 1 => UNS * INC # A4: 3 # D1: 2,8 => UNS * INC # A4: 3 # D3: 2,8 => UNS * INC # A4: 3 => UNS * CNT 56 HDP CHAINS / 56 HYP OPENED
Full list of HDP chains traversed for H1,I2: 3..:
* INC # I2: 3 # G4: 2,9 => UNS * INC # I2: 3 # I4: 2,9 => UNS * INC # I2: 3 # A5: 2,9 => UNS * INC # I2: 3 # C5: 2,9 => UNS * INC # I2: 3 # I7: 2,9 => UNS * INC # I2: 3 # I9: 2,9 => UNS * INC # I2: 3 # I7: 2,5 => UNS * INC # I2: 3 # I7: 4,7,8,9 => UNS * INC # I2: 3 => UNS * INC # H1: 3 # G4: 1,9 => UNS * INC # H1: 3 # G4: 2,4 => UNS * INC # H1: 3 # A5: 1,9 => UNS * INC # H1: 3 # C5: 1,9 => UNS * INC # H1: 3 # H7: 1,9 => UNS * INC # H1: 3 # H9: 1,9 => UNS * INC # H1: 3 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for I6,I7: 5..:
* PRF # I7: 5 # H1: 6,9 => SOL * STA # I7: 5 + H1: 6,9 * CNT 1 HDP CHAINS / 2 HYP OPENED