Analysis of xx-ph-00000859-694-base.sdk
Contents
Original Sudoku
level: deep
position: ...4..7.9..7.8....6....7.1.2.......5.3...2....61....2.3....1.5.....9...8...7..4.1 initial
Autosolve
position: ...4..7.9..7.8....6....7.1.2.......5.3...2....61....2.3....1.5.....9...8...7..4.1 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000011
List of important HDP chains detected for B7,I7: 7..:
* DIS # I7: 7 # H5: 4,6 => CTR => H5: 7,8,9 * DIS # I7: 7 + H5: 7,8,9 # H9: 3,6 => CTR => H9: 9 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 # H1: 3,6 => CTR => H1: 8 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 # H4: 3,6 => CTR => H4: 4 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 # A2: 1,5 => CTR => A2: 4,9 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 # B2: 1,5 => CTR => B2: 2,4,9 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 # B1: 2 => CTR => B1: 1,5 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 + B1: 1,5 # G2: 3,6 => CTR => G2: 5 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 + B1: 1,5 + G2: 5 => CTR => I7: 2,6 * STA I7: 2,6 * CNT 9 HDP CHAINS / 31 HYP OPENED
List of important HDP chains detected for I7,H8: 7..:
* DIS # I7: 7 # H5: 4,6 => CTR => H5: 7,8,9 * DIS # I7: 7 + H5: 7,8,9 # H9: 3,6 => CTR => H9: 9 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 # H1: 3,6 => CTR => H1: 8 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 # H4: 3,6 => CTR => H4: 4 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 # A2: 1,5 => CTR => A2: 4,9 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 # B2: 1,5 => CTR => B2: 2,4,9 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 # B1: 2 => CTR => B1: 1,5 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 + B1: 1,5 # G2: 3,6 => CTR => G2: 5 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 + B1: 1,5 + G2: 5 => CTR => I7: 2,6 * STA I7: 2,6 * CNT 9 HDP CHAINS / 31 HYP OPENED
List of important HDP chains detected for H1,G3: 8..:
* DIS # G3: 8 # H2: 3,6 => CTR => H2: 4 * DIS # G3: 8 + H2: 4 # I2: 2 => CTR => I2: 3,6 * DIS # G3: 8 + H2: 4 + I2: 3,6 # F1: 5 => CTR => F1: 3,6 * DIS # G3: 8 + H2: 4 + I2: 3,6 + F1: 3,6 # H4: 3,6 => CTR => H4: 7,8,9 * DIS # G3: 8 + H2: 4 + I2: 3,6 + F1: 3,6 + H4: 7,8,9 # H8: 3,6 => CTR => H8: 7 * DIS # G3: 8 + H2: 4 + I2: 3,6 + F1: 3,6 + H4: 7,8,9 + H8: 7 => CTR => G3: 2,3,5 * STA G3: 2,3,5 * CNT 6 HDP CHAINS / 10 HYP OPENED
List of important HDP chains detected for G7,H9: 9..:
* DIS # G7: 9 # H8: 3,6 => CTR => H8: 7 * DIS # G7: 9 + H8: 7 # H1: 3,6 => CTR => H1: 8 * PRF # G7: 9 + H8: 7 + H1: 8 # H2: 3,6 => SOL * STA # G7: 9 + H8: 7 + H1: 8 + H2: 3,6 * CNT 3 HDP CHAINS / 15 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
| ...4..7.9..7.8....6....7.1.2.......5.3...2....61....2.3....1.5.....9...8...7..4.1 | initial |
| ...4..7.9..7.8....6....7.1.2.......5.3...2....61....2.3....1.5.....9...8...7..4.1 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E1,D2: 1.. / E1 = 1 => 1 pairs (_) / D2 = 1 => 0 pairs (_) G4,G5: 1.. / G4 = 1 => 0 pairs (_) / G5 = 1 => 0 pairs (_) A8,B8: 1.. / A8 = 1 => 1 pairs (_) / B8 = 1 => 0 pairs (_) C1,C3: 3.. / C1 = 3 => 2 pairs (_) / C3 = 3 => 2 pairs (_) E7,F8: 4.. / E7 = 4 => 0 pairs (_) / F8 = 4 => 1 pairs (_) G2,G3: 5.. / G2 = 5 => 0 pairs (_) / G3 = 5 => 2 pairs (_) I7,H8: 7.. / I7 = 7 => 5 pairs (_) / H8 = 7 => 1 pairs (_) B7,I7: 7.. / B7 = 7 => 1 pairs (_) / I7 = 7 => 5 pairs (_) H1,G3: 8.. / H1 = 8 => 1 pairs (_) / G3 = 8 => 3 pairs (_) D7,F9: 8.. / D7 = 8 => 0 pairs (_) / F9 = 8 => 2 pairs (_) G7,H9: 9.. / G7 = 9 => 2 pairs (_) / H9 = 9 => 2 pairs (_) * DURATION: 0:00:07.946133 START: 19:13:20.588037 END: 19:13:28.534170 2020-11-22 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B7,I7: 7.. / B7 = 7 => 1 pairs (_) / I7 = 7 ==> 0 pairs (X) I7,H8: 7.. / I7 = 7 ==> 0 pairs (X) / H8 = 7 => 1 pairs (_) H1,G3: 8.. / H1 = 8 => 1 pairs (_) / G3 = 8 ==> 0 pairs (X) G7,H9: 9.. / G7 = 9 ==> 0 pairs (*) / H9 = 9 => 0 pairs (X) * DURATION: 0:01:09.558465 START: 19:13:28.535233 END: 19:14:38.093698 2020-11-22 * REASONING B7,I7: 7.. * DIS # I7: 7 # H5: 4,6 => CTR => H5: 7,8,9 * DIS # I7: 7 + H5: 7,8,9 # H9: 3,6 => CTR => H9: 9 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 # H1: 3,6 => CTR => H1: 8 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 # H4: 3,6 => CTR => H4: 4 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 # A2: 1,5 => CTR => A2: 4,9 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 # B2: 1,5 => CTR => B2: 2,4,9 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 # B1: 2 => CTR => B1: 1,5 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 + B1: 1,5 # G2: 3,6 => CTR => G2: 5 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 + B1: 1,5 + G2: 5 => CTR => I7: 2,6 * STA I7: 2,6 * CNT 9 HDP CHAINS / 31 HYP OPENED * REASONING I7,H8: 7.. * DIS # I7: 7 # H5: 4,6 => CTR => H5: 7,8,9 * DIS # I7: 7 + H5: 7,8,9 # H9: 3,6 => CTR => H9: 9 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 # H1: 3,6 => CTR => H1: 8 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 # H4: 3,6 => CTR => H4: 4 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 # A2: 1,5 => CTR => A2: 4,9 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 # B2: 1,5 => CTR => B2: 2,4,9 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 # B1: 2 => CTR => B1: 1,5 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 + B1: 1,5 # G2: 3,6 => CTR => G2: 5 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 + B1: 1,5 + G2: 5 => CTR => I7: 2,6 * STA I7: 2,6 * CNT 9 HDP CHAINS / 31 HYP OPENED * REASONING H1,G3: 8.. * DIS # G3: 8 # H2: 3,6 => CTR => H2: 4 * DIS # G3: 8 + H2: 4 # I2: 2 => CTR => I2: 3,6 * DIS # G3: 8 + H2: 4 + I2: 3,6 # F1: 5 => CTR => F1: 3,6 * DIS # G3: 8 + H2: 4 + I2: 3,6 + F1: 3,6 # H4: 3,6 => CTR => H4: 7,8,9 * DIS # G3: 8 + H2: 4 + I2: 3,6 + F1: 3,6 + H4: 7,8,9 # H8: 3,6 => CTR => H8: 7 * DIS # G3: 8 + H2: 4 + I2: 3,6 + F1: 3,6 + H4: 7,8,9 + H8: 7 => CTR => G3: 2,3,5 * STA G3: 2,3,5 * CNT 6 HDP CHAINS / 10 HYP OPENED * REASONING G7,H9: 9.. * DIS # G7: 9 # H8: 3,6 => CTR => H8: 7 * DIS # G7: 9 + H8: 7 # H1: 3,6 => CTR => H1: 8 * PRF # G7: 9 + H8: 7 + H1: 8 # H2: 3,6 => SOL * STA # G7: 9 + H8: 7 + H1: 8 + H2: 3,6 * CNT 3 HDP CHAINS / 15 HYP OPENED * DCP COUNT: (4) * SOLUTION FOUND
Header Info
859;694;elev;23;11.30;11.30;9.80
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B7,I7: 7..:
* INC # I7: 7 # H4: 4,6 => UNS * DIS # I7: 7 # H5: 4,6 => CTR => H5: 7,8,9 * INC # I7: 7 + H5: 7,8,9 # H4: 4,6 => UNS * INC # I7: 7 + H5: 7,8,9 # H4: 3,7,8,9 => UNS * INC # I7: 7 + H5: 7,8,9 # E5: 4,6 => UNS * INC # I7: 7 + H5: 7,8,9 # E5: 1,5,7 => UNS * INC # I7: 7 + H5: 7,8,9 # I2: 4,6 => UNS * INC # I7: 7 + H5: 7,8,9 # I2: 2,3 => UNS * INC # I7: 7 + H5: 7,8,9 # H4: 3,4 => UNS * INC # I7: 7 + H5: 7,8,9 # H4: 6,7,8,9 => UNS * INC # I7: 7 + H5: 7,8,9 # E6: 3,4 => UNS * INC # I7: 7 + H5: 7,8,9 # F6: 3,4 => UNS * INC # I7: 7 + H5: 7,8,9 # I2: 3,4 => UNS * INC # I7: 7 + H5: 7,8,9 # I3: 3,4 => UNS * INC # I7: 7 + H5: 7,8,9 # G8: 3,6 => UNS * DIS # I7: 7 + H5: 7,8,9 # H9: 3,6 => CTR => H9: 9 * INC # I7: 7 + H5: 7,8,9 + H9: 9 # G8: 3,6 => UNS * INC # I7: 7 + H5: 7,8,9 + H9: 9 # G8: 2 => UNS * DIS # I7: 7 + H5: 7,8,9 + H9: 9 # H1: 3,6 => CTR => H1: 8 * INC # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 # H2: 3,6 => UNS * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 # H4: 3,6 => CTR => H4: 4 * INC # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 # G8: 3,6 => UNS * INC # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 # G8: 2 => UNS * INC # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 # B1: 1,5 => UNS * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 # A2: 1,5 => CTR => A2: 4,9 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 # B2: 1,5 => CTR => B2: 2,4,9 * INC # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 # B1: 1,5 => UNS * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 # B1: 2 => CTR => B1: 1,5 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 + B1: 1,5 # G2: 3,6 => CTR => G2: 5 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 + B1: 1,5 + G2: 5 => CTR => I7: 2,6 * INC I7: 2,6 # B7: 7 => UNS * STA I7: 2,6 * CNT 31 HDP CHAINS / 31 HYP OPENED
Full list of HDP chains traversed for I7,H8: 7..:
* INC # I7: 7 # H4: 4,6 => UNS * DIS # I7: 7 # H5: 4,6 => CTR => H5: 7,8,9 * INC # I7: 7 + H5: 7,8,9 # H4: 4,6 => UNS * INC # I7: 7 + H5: 7,8,9 # H4: 3,7,8,9 => UNS * INC # I7: 7 + H5: 7,8,9 # E5: 4,6 => UNS * INC # I7: 7 + H5: 7,8,9 # E5: 1,5,7 => UNS * INC # I7: 7 + H5: 7,8,9 # I2: 4,6 => UNS * INC # I7: 7 + H5: 7,8,9 # I2: 2,3 => UNS * INC # I7: 7 + H5: 7,8,9 # H4: 3,4 => UNS * INC # I7: 7 + H5: 7,8,9 # H4: 6,7,8,9 => UNS * INC # I7: 7 + H5: 7,8,9 # E6: 3,4 => UNS * INC # I7: 7 + H5: 7,8,9 # F6: 3,4 => UNS * INC # I7: 7 + H5: 7,8,9 # I2: 3,4 => UNS * INC # I7: 7 + H5: 7,8,9 # I3: 3,4 => UNS * INC # I7: 7 + H5: 7,8,9 # G8: 3,6 => UNS * DIS # I7: 7 + H5: 7,8,9 # H9: 3,6 => CTR => H9: 9 * INC # I7: 7 + H5: 7,8,9 + H9: 9 # G8: 3,6 => UNS * INC # I7: 7 + H5: 7,8,9 + H9: 9 # G8: 2 => UNS * DIS # I7: 7 + H5: 7,8,9 + H9: 9 # H1: 3,6 => CTR => H1: 8 * INC # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 # H2: 3,6 => UNS * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 # H4: 3,6 => CTR => H4: 4 * INC # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 # G8: 3,6 => UNS * INC # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 # G8: 2 => UNS * INC # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 # B1: 1,5 => UNS * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 # A2: 1,5 => CTR => A2: 4,9 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 # B2: 1,5 => CTR => B2: 2,4,9 * INC # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 # B1: 1,5 => UNS * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 # B1: 2 => CTR => B1: 1,5 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 + B1: 1,5 # G2: 3,6 => CTR => G2: 5 * DIS # I7: 7 + H5: 7,8,9 + H9: 9 + H1: 8 + H4: 4 + A2: 4,9 + B2: 2,4,9 + B1: 1,5 + G2: 5 => CTR => I7: 2,6 * INC I7: 2,6 # H8: 7 => UNS * STA I7: 2,6 * CNT 31 HDP CHAINS / 31 HYP OPENED
Full list of HDP chains traversed for H1,G3: 8..:
* DIS # G3: 8 # H2: 3,6 => CTR => H2: 4 * INC # G3: 8 + H2: 4 # I2: 3,6 => UNS * INC # G3: 8 + H2: 4 # I2: 3,6 => UNS * DIS # G3: 8 + H2: 4 # I2: 2 => CTR => I2: 3,6 * INC # G3: 8 + H2: 4 + I2: 3,6 # F1: 3,6 => UNS * DIS # G3: 8 + H2: 4 + I2: 3,6 # F1: 5 => CTR => F1: 3,6 * DIS # G3: 8 + H2: 4 + I2: 3,6 + F1: 3,6 # H4: 3,6 => CTR => H4: 7,8,9 * DIS # G3: 8 + H2: 4 + I2: 3,6 + F1: 3,6 + H4: 7,8,9 # H8: 3,6 => CTR => H8: 7 * DIS # G3: 8 + H2: 4 + I2: 3,6 + F1: 3,6 + H4: 7,8,9 + H8: 7 => CTR => G3: 2,3,5 * INC G3: 2,3,5 # H1: 8 => UNS * STA G3: 2,3,5 * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for G7,H9: 9..:
* INC # G7: 9 # G4: 3,8 => UNS * INC # G7: 9 # H4: 3,8 => UNS * INC # G7: 9 # D6: 3,8 => UNS * INC # G7: 9 # F6: 3,8 => UNS * INC # G7: 9 # G3: 3,8 => UNS * INC # G7: 9 # G3: 2,5 => UNS * INC # G7: 9 # G8: 3,6 => UNS * DIS # G7: 9 # H8: 3,6 => CTR => H8: 7 * INC # G7: 9 + H8: 7 # G8: 3,6 => UNS * INC # G7: 9 + H8: 7 # G8: 2 => UNS * INC # G7: 9 + H8: 7 # E9: 3,6 => UNS * INC # G7: 9 + H8: 7 # F9: 3,6 => UNS * DIS # G7: 9 + H8: 7 # H1: 3,6 => CTR => H1: 8 * PRF # G7: 9 + H8: 7 + H1: 8 # H2: 3,6 => SOL * STA # G7: 9 + H8: 7 + H1: 8 + H2: 3,6 * CNT 14 HDP CHAINS / 15 HYP OPENED