Analysis of xx-ph-00033000-2012_04-base.sdk
Contents
Original Sudoku
level: deep
position: 9..8..7...8..6..5...4......7..4......3..2...6..1...9...5...3.2....1..4......8...3 initial
Autosolve
position: 9..8..7...8..6..5...4......7..4......3..2...6..1...9...5...3.2....1..4......8...3 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000008
List of important HDP chains detected for E1,E7: 4..:
* DIS # E1: 4 # G3: 1,2 => CTR => G3: 3,6,8 * DIS # E1: 4 + G3: 3,6,8 # I3: 1,2 => CTR => I3: 8,9 * DIS # E1: 4 + G3: 3,6,8 + I3: 8,9 # G2: 3 => CTR => G2: 1,2 * DIS # E1: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 # B1: 1,2 => CTR => B1: 6 * DIS # E1: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 + B1: 6 => CTR => E1: 1,3,5 * STA E1: 1,3,5 * CNT 5 HDP CHAINS / 8 HYP OPENED
List of important HDP chains detected for A7,E7: 4..:
* DIS # A7: 4 # G3: 1,2 => CTR => G3: 3,6,8 * DIS # A7: 4 + G3: 3,6,8 # I3: 1,2 => CTR => I3: 8,9 * DIS # A7: 4 + G3: 3,6,8 + I3: 8,9 # G2: 3 => CTR => G2: 1,2 * DIS # A7: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 # B1: 1,2 => CTR => B1: 6 * DIS # A7: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 + B1: 6 => CTR => A7: 1,6,8 * STA A7: 1,6,8 * CNT 5 HDP CHAINS / 8 HYP OPENED
List of important HDP chains detected for E7,F9: 4..:
* DIS # F9: 4 # G3: 1,2 => CTR => G3: 3,6,8 * DIS # F9: 4 + G3: 3,6,8 # I3: 1,2 => CTR => I3: 8,9 * DIS # F9: 4 + G3: 3,6,8 + I3: 8,9 # G2: 3 => CTR => G2: 1,2 * DIS # F9: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 # B1: 1,2 => CTR => B1: 6 * DIS # F9: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 + B1: 6 => CTR => F9: 2,5,6,7,9 * STA F9: 2,5,6,7,9 * CNT 5 HDP CHAINS / 8 HYP OPENED
List of important HDP chains detected for C2,B3: 7..:
* DIS # B3: 7 # D9: 7,9 => CTR => D9: 2,5,6 * CNT 1 HDP CHAINS / 33 HYP OPENED
List of important HDP chains detected for B6,B9: 4..:
* DIS # B9: 4 # D2: 2,3 => CTR => D2: 7,9 * PRF # B9: 4 + D2: 7,9 # G2: 2,3 => SOL * STA # B9: 4 + D2: 7,9 + G2: 2,3 * CNT 2 HDP CHAINS / 16 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
| 9..8..7...8..6..5...4......7..4......3..2...6..1...9...5...3.2....1..4......8...3 | initial |
| 9..8..7...8..6..5...4......7..4......3..2...6..1...9...5...3.2....1..4......8...3 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A8,C8: 3.. / A8 = 3 => 1 pairs (_) / C8 = 3 => 1 pairs (_) E7,F9: 4.. / E7 = 4 => 0 pairs (_) / F9 = 4 => 5 pairs (_) F2,I2: 4.. / F2 = 4 => 0 pairs (_) / I2 = 4 => 1 pairs (_) A5,H5: 4.. / A5 = 4 => 2 pairs (_) / H5 = 4 => 2 pairs (_) A7,E7: 4.. / A7 = 4 => 5 pairs (_) / E7 = 4 => 0 pairs (_) B6,B9: 4.. / B6 = 4 => 2 pairs (_) / B9 = 4 => 2 pairs (_) E1,E7: 4.. / E1 = 4 => 5 pairs (_) / E7 = 4 => 0 pairs (_) C1,A3: 5.. / C1 = 5 => 1 pairs (_) / A3 = 5 => 1 pairs (_) I8,G9: 5.. / I8 = 5 => 2 pairs (_) / G9 = 5 => 1 pairs (_) C2,B3: 7.. / C2 = 7 => 0 pairs (_) / B3 = 7 => 3 pairs (_) * DURATION: 0:00:05.761550 START: 02:34:33.579559 END: 02:34:39.341109 2020-12-12 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E1,E7: 4.. / E1 = 4 ==> 0 pairs (X) / E7 = 4 => 0 pairs (_) A7,E7: 4.. / A7 = 4 ==> 0 pairs (X) / E7 = 4 => 0 pairs (_) E7,F9: 4.. / E7 = 4 => 0 pairs (_) / F9 = 4 ==> 0 pairs (X) C2,B3: 7.. / C2 = 7 ==> 0 pairs (_) / B3 = 7 ==> 3 pairs (_) B6,B9: 4.. / B6 = 4 ==> 2 pairs (_) / B9 = 4 ==> 0 pairs (*) * DURATION: 0:00:55.364113 START: 02:34:39.341832 END: 02:35:34.705945 2020-12-12 * REASONING E1,E7: 4.. * DIS # E1: 4 # G3: 1,2 => CTR => G3: 3,6,8 * DIS # E1: 4 + G3: 3,6,8 # I3: 1,2 => CTR => I3: 8,9 * DIS # E1: 4 + G3: 3,6,8 + I3: 8,9 # G2: 3 => CTR => G2: 1,2 * DIS # E1: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 # B1: 1,2 => CTR => B1: 6 * DIS # E1: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 + B1: 6 => CTR => E1: 1,3,5 * STA E1: 1,3,5 * CNT 5 HDP CHAINS / 8 HYP OPENED * REASONING A7,E7: 4.. * DIS # A7: 4 # G3: 1,2 => CTR => G3: 3,6,8 * DIS # A7: 4 + G3: 3,6,8 # I3: 1,2 => CTR => I3: 8,9 * DIS # A7: 4 + G3: 3,6,8 + I3: 8,9 # G2: 3 => CTR => G2: 1,2 * DIS # A7: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 # B1: 1,2 => CTR => B1: 6 * DIS # A7: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 + B1: 6 => CTR => A7: 1,6,8 * STA A7: 1,6,8 * CNT 5 HDP CHAINS / 8 HYP OPENED * REASONING E7,F9: 4.. * DIS # F9: 4 # G3: 1,2 => CTR => G3: 3,6,8 * DIS # F9: 4 + G3: 3,6,8 # I3: 1,2 => CTR => I3: 8,9 * DIS # F9: 4 + G3: 3,6,8 + I3: 8,9 # G2: 3 => CTR => G2: 1,2 * DIS # F9: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 # B1: 1,2 => CTR => B1: 6 * DIS # F9: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 + B1: 6 => CTR => F9: 2,5,6,7,9 * STA F9: 2,5,6,7,9 * CNT 5 HDP CHAINS / 8 HYP OPENED * REASONING C2,B3: 7.. * DIS # B3: 7 # D9: 7,9 => CTR => D9: 2,5,6 * CNT 1 HDP CHAINS / 33 HYP OPENED * REASONING B6,B9: 4.. * DIS # B9: 4 # D2: 2,3 => CTR => D2: 7,9 * PRF # B9: 4 + D2: 7,9 # G2: 2,3 => SOL * STA # B9: 4 + D2: 7,9 + G2: 2,3 * CNT 2 HDP CHAINS / 16 HYP OPENED * DCP COUNT: (5) * SOLUTION FOUND
Header Info
33000;2012_04;GP;21;11.30;11.30;10.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E1,E7: 4..:
* INC # E1: 4 # G2: 1,2 => UNS * DIS # E1: 4 # G3: 1,2 => CTR => G3: 3,6,8 * DIS # E1: 4 + G3: 3,6,8 # I3: 1,2 => CTR => I3: 8,9 * INC # E1: 4 + G3: 3,6,8 + I3: 8,9 # G2: 1,2 => UNS * DIS # E1: 4 + G3: 3,6,8 + I3: 8,9 # G2: 3 => CTR => G2: 1,2 * DIS # E1: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 # B1: 1,2 => CTR => B1: 6 * DIS # E1: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 + B1: 6 => CTR => E1: 1,3,5 * INC E1: 1,3,5 # E7: 4 => UNS * STA E1: 1,3,5 * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for A7,E7: 4..:
* INC # A7: 4 # G2: 1,2 => UNS * DIS # A7: 4 # G3: 1,2 => CTR => G3: 3,6,8 * DIS # A7: 4 + G3: 3,6,8 # I3: 1,2 => CTR => I3: 8,9 * INC # A7: 4 + G3: 3,6,8 + I3: 8,9 # G2: 1,2 => UNS * DIS # A7: 4 + G3: 3,6,8 + I3: 8,9 # G2: 3 => CTR => G2: 1,2 * DIS # A7: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 # B1: 1,2 => CTR => B1: 6 * DIS # A7: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 + B1: 6 => CTR => A7: 1,6,8 * INC A7: 1,6,8 # E7: 4 => UNS * STA A7: 1,6,8 * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for E7,F9: 4..:
* INC # F9: 4 # G2: 1,2 => UNS * DIS # F9: 4 # G3: 1,2 => CTR => G3: 3,6,8 * DIS # F9: 4 + G3: 3,6,8 # I3: 1,2 => CTR => I3: 8,9 * INC # F9: 4 + G3: 3,6,8 + I3: 8,9 # G2: 1,2 => UNS * DIS # F9: 4 + G3: 3,6,8 + I3: 8,9 # G2: 3 => CTR => G2: 1,2 * DIS # F9: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 # B1: 1,2 => CTR => B1: 6 * DIS # F9: 4 + G3: 3,6,8 + I3: 8,9 + G2: 1,2 + B1: 6 => CTR => F9: 2,5,6,7,9 * INC F9: 2,5,6,7,9 # E7: 4 => UNS * STA F9: 2,5,6,7,9 * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for C2,B3: 7..:
* INC # B3: 7 # C1: 2,3 => UNS * INC # B3: 7 # A2: 2,3 => UNS * INC # B3: 7 # A3: 2,3 => UNS * INC # B3: 7 # G2: 2,3 => UNS * INC # B3: 7 # G2: 1 => UNS * INC # B3: 7 # C8: 2,3 => UNS * INC # B3: 7 # C8: 6,7,8,9 => UNS * INC # B3: 7 # F2: 7,9 => UNS * INC # B3: 7 # F2: 4 => UNS * INC # B3: 7 # D5: 7,9 => UNS * INC # B3: 7 # D7: 7,9 => UNS * DIS # B3: 7 # D9: 7,9 => CTR => D9: 2,5,6 * INC # B3: 7 + D9: 2,5,6 # F2: 7,9 => UNS * INC # B3: 7 + D9: 2,5,6 # F2: 4 => UNS * INC # B3: 7 + D9: 2,5,6 # D5: 7,9 => UNS * INC # B3: 7 + D9: 2,5,6 # D7: 7,9 => UNS * INC # B3: 7 + D9: 2,5,6 # F2: 4,9 => UNS * INC # B3: 7 + D9: 2,5,6 # F2: 7 => UNS * INC # B3: 7 + D9: 2,5,6 # C1: 2,3 => UNS * INC # B3: 7 + D9: 2,5,6 # A2: 2,3 => UNS * INC # B3: 7 + D9: 2,5,6 # A3: 2,3 => UNS * INC # B3: 7 + D9: 2,5,6 # G2: 2,3 => UNS * INC # B3: 7 + D9: 2,5,6 # G2: 1 => UNS * INC # B3: 7 + D9: 2,5,6 # C8: 2,3 => UNS * INC # B3: 7 + D9: 2,5,6 # C8: 6,7,8,9 => UNS * INC # B3: 7 + D9: 2,5,6 # F2: 7,9 => UNS * INC # B3: 7 + D9: 2,5,6 # F2: 4 => UNS * INC # B3: 7 + D9: 2,5,6 # D5: 7,9 => UNS * INC # B3: 7 + D9: 2,5,6 # D7: 7,9 => UNS * INC # B3: 7 + D9: 2,5,6 # F2: 4,9 => UNS * INC # B3: 7 + D9: 2,5,6 # F2: 7 => UNS * INC # B3: 7 + D9: 2,5,6 => UNS * INC # C2: 7 => UNS * CNT 33 HDP CHAINS / 33 HYP OPENED
Full list of HDP chains traversed for B6,B9: 4..:
* INC # B6: 4 # C4: 5,8 => UNS * INC # B6: 4 # C5: 5,8 => UNS * INC # B6: 4 # A6: 5,8 => UNS * INC # B6: 4 # F5: 5,8 => UNS * INC # B6: 4 # G5: 5,8 => UNS * INC # B6: 4 # E4: 3,5 => UNS * INC # B6: 4 # D6: 3,5 => UNS * INC # B6: 4 # E1: 3,5 => UNS * INC # B6: 4 # E3: 3,5 => UNS * INC # B6: 4 => UNS * INC # B9: 4 # C1: 2,3 => UNS * INC # B9: 4 # C2: 2,3 => UNS * INC # B9: 4 # A3: 2,3 => UNS * DIS # B9: 4 # D2: 2,3 => CTR => D2: 7,9 * PRF # B9: 4 + D2: 7,9 # G2: 2,3 => SOL * STA # B9: 4 + D2: 7,9 + G2: 2,3 * CNT 15 HDP CHAINS / 16 HYP OPENED