Analysis of xx-ph-00748391-12_12_19-base.sdk
Original Sudoku
level: deep
position: ..............1.23..4.2..15..2..53...6..7..4.7..8.......5..41...8.....944..9....6 initial
Autosolve
position: ..............1.23..4.2..15..2..53...6..7..4.7..8.......5..41...8.....944..9....6 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:09.326285
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000015
List of important HDP chains detected for A5,G5: 5..:
* DIS # G5: 5 # B1: 7,9 => CTR => B1: 1,2,3 * DIS # G5: 5 + B1: 1,2,3 # C1: 7,9 => CTR => C1: 1,3,6,8 * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 # B3: 7,9 => CTR => B3: 3 * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 # B7: 2 => CTR => B7: 7,9 * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 # G1: 7,8 => CTR => G1: 4,6,9 * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 + G1: 4,6,9 # I1: 7,8 => CTR => I1: 9 * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 + G1: 4,6,9 + I1: 9 # G3: 6 => CTR => G3: 7,8 * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 + G1: 4,6,9 + I1: 9 + G3: 7,8 # E4: 1,6 => CTR => E4: 9 * PRF # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 + G1: 4,6,9 + I1: 9 + G3: 7,8 + E4: 9 => SOL * STA G5: 5 * CNT 9 HDP CHAINS / 19 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
| ..............1.23..4.2..15..2..53...6..7..4.7..8.......5..41...8.....944..9....6 | initial |
| ..............1.23..4.2..15..2..53...6..7..4.7..8.......5..41...8.....944..9....6 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) H6: 5,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,B1: 2.. / A1 = 2 => 1 pairs (_) / B1 = 2 => 1 pairs (_) H7,H9: 3.. / H7 = 3 => 2 pairs (_) / H9 = 3 => 2 pairs (_) G1,G2: 4.. / G1 = 4 => 1 pairs (_) / G2 = 4 => 1 pairs (_) B4,B6: 4.. / B4 = 4 => 2 pairs (_) / B6 = 4 => 3 pairs (_) B6,E6: 4.. / B6 = 4 => 3 pairs (_) / E6 = 4 => 2 pairs (_) A5,B6: 5.. / A5 = 5 => 1 pairs (_) / B6 = 5 => 7 pairs (_) A5,G5: 5.. / A5 = 5 => 1 pairs (_) / G5 = 5 => 7 pairs (_) H6,H9: 5.. / H6 = 5 => 0 pairs (_) / H9 = 5 => 4 pairs (_) H4,I4: 7.. / H4 = 7 => 3 pairs (_) / I4 = 7 => 4 pairs (_) A7,B7: 9.. / A7 = 9 => 2 pairs (_) / B7 = 9 => 4 pairs (_) * DURATION: 0:00:06.222008 START: 10:55:13.103648 END: 10:55:19.325656 2020-12-31 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A5,G5: 5.. / A5 = 5 => 0 pairs (X) / G5 = 5 ==> 0 pairs (*) * DURATION: 0:00:18.889679 START: 10:55:30.532676 END: 10:55:49.422355 2020-12-31 * REASONING A5,G5: 5.. * DIS # G5: 5 # B1: 7,9 => CTR => B1: 1,2,3 * DIS # G5: 5 + B1: 1,2,3 # C1: 7,9 => CTR => C1: 1,3,6,8 * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 # B3: 7,9 => CTR => B3: 3 * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 # B7: 2 => CTR => B7: 7,9 * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 # G1: 7,8 => CTR => G1: 4,6,9 * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 + G1: 4,6,9 # I1: 7,8 => CTR => I1: 9 * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 + G1: 4,6,9 + I1: 9 # G3: 6 => CTR => G3: 7,8 * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 + G1: 4,6,9 + I1: 9 + G3: 7,8 # E4: 1,6 => CTR => E4: 9 * PRF # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 + G1: 4,6,9 + I1: 9 + G3: 7,8 + E4: 9 => SOL * STA G5: 5 * CNT 9 HDP CHAINS / 19 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
748391;12_12_19;dob;24;11.30;11.30;9.70
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # G6: 5,6 => UNS * INC # G6: 2,9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G6: 5,6 => UNS * INC # G6: 2,9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G6: 5,6 => UNS * INC # G6: 2,9 => UNS * INC # G6: 5,6 # I4: 7,8 => UNS * INC # G6: 5,6 # I4: 1,9 => UNS * INC # G6: 5,6 # H1: 7,8 => UNS * INC # G6: 5,6 # H7: 7,8 => UNS * INC # G6: 5,6 # H9: 7,8 => UNS * INC # G6: 5,6 => UNS * INC # G6: 2,9 # G1: 7,8 => UNS * INC # G6: 2,9 # I1: 7,8 => UNS * INC # G6: 2,9 # G2: 7,8 => UNS * INC # G6: 2,9 # G3: 7,8 => UNS * INC # G6: 2,9 # C1: 7,8 => UNS * INC # G6: 2,9 # F1: 7,8 => UNS * INC # G6: 2,9 # H4: 7,8 => UNS * INC # G6: 2,9 # H7: 7,8 => UNS * INC # G6: 2,9 # H9: 7,8 => UNS * INC # G6: 2,9 # G5: 2,9 => UNS * INC # G6: 2,9 # I5: 2,9 => UNS * INC # G6: 2,9 # I6: 2,9 => UNS * INC # G6: 2,9 # F6: 2,9 => UNS * INC # G6: 2,9 # F6: 3,6 => UNS * INC # G6: 2,9 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A5,G5: 5..:
* DIS # G5: 5 # B1: 7,9 => CTR => B1: 1,2,3 * DIS # G5: 5 + B1: 1,2,3 # C1: 7,9 => CTR => C1: 1,3,6,8 * INC # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 # C2: 7,9 => UNS * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 # B3: 7,9 => CTR => B3: 3 * INC # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 # C2: 7,9 => UNS * INC # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 # C2: 6,8 => UNS * INC # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 # B7: 7,9 => UNS * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 # B7: 2 => CTR => B7: 7,9 * INC # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 # C2: 7,9 => UNS * INC # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 # C2: 6,8 => UNS * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 # G1: 7,8 => CTR => G1: 4,6,9 * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 + G1: 4,6,9 # I1: 7,8 => CTR => I1: 9 * INC # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 + G1: 4,6,9 + I1: 9 # G3: 7,8 => UNS * INC # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 + G1: 4,6,9 + I1: 9 # G3: 7,8 => UNS * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 + G1: 4,6,9 + I1: 9 # G3: 6 => CTR => G3: 7,8 * INC # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 + G1: 4,6,9 + I1: 9 + G3: 7,8 # F1: 7,8 => UNS * INC # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 + G1: 4,6,9 + I1: 9 + G3: 7,8 # F1: 3,6 => UNS * DIS # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 + G1: 4,6,9 + I1: 9 + G3: 7,8 # E4: 1,6 => CTR => E4: 9 * PRF # G5: 5 + B1: 1,2,3 + C1: 1,3,6,8 + B3: 3 + B7: 7,9 + G1: 4,6,9 + I1: 9 + G3: 7,8 + E4: 9 => SOL * STA G5: 5 * CNT 19 HDP CHAINS / 19 HYP OPENED