Analysis of xx-ph-00028360-2011_12-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6....5.9..4......3..97..8......3...9.....2.4..1..2.....6...6...1.5....6.4.. initial
Autosolve
position: 98.7..6....5.9..4......3..97..8......3...9.....2.4..1..2.....6...6...1.5....6.4.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for C1,F1: 4..:
* DIS # C1: 4 # C7: 1,7 => CTR => C7: 3,8,9 * DIS # C1: 4 + C7: 3,8,9 # C9: 1,7 => CTR => C9: 3,8,9 * DIS # C1: 4 + C7: 3,8,9 + C9: 3,8,9 # B4: 5,9 => CTR => B4: 4 * DIS # C1: 4 + C7: 3,8,9 + C9: 3,8,9 + B4: 4 => CTR => C1: 1,3 * STA C1: 1,3 * CNT 4 HDP CHAINS / 9 HYP OPENED
List of important HDP chains detected for F1,D3: 4..:
* DIS # D3: 4 # C7: 1,7 => CTR => C7: 3,8,9 * DIS # D3: 4 + C7: 3,8,9 # C9: 1,7 => CTR => C9: 3,8,9 * DIS # D3: 4 + C7: 3,8,9 + C9: 3,8,9 # B4: 5,9 => CTR => B4: 4 * DIS # D3: 4 + C7: 3,8,9 + C9: 3,8,9 + B4: 4 => CTR => D3: 1,2,5,6 * STA D3: 1,2,5,6 * CNT 4 HDP CHAINS / 9 HYP OPENED
List of important HDP chains detected for C1,A2: 3..:
* DIS # A2: 3 # C3: 1,4 => CTR => C3: 7 * DIS # A2: 3 + C3: 7 # C5: 1,4 => CTR => C5: 8 * DIS # A2: 3 + C3: 7 + C5: 8 # C4: 9 => CTR => C4: 1,4 * DIS # A2: 3 + C3: 7 + C5: 8 + C4: 1,4 # B4: 5,9 => CTR => B4: 1,4 * DIS # A2: 3 + C3: 7 + C5: 8 + C4: 1,4 + B4: 1,4 => CTR => A2: 1,2,6 * STA A2: 1,2,6 * CNT 5 HDP CHAINS / 9 HYP OPENED
List of important HDP chains detected for I1,I2: 1..:
* DIS # I2: 1 # F2: 2,6 => CTR => F2: 8 * CNT 1 HDP CHAINS / 39 HYP OPENED
List of important HDP chains detected for B6,G6: 9..:
* DIS # G6: 9 # A6: 5,6 => CTR => A6: 8 * DIS # G6: 9 + A6: 8 # C1: 1,4 => CTR => C1: 3 * DIS # G6: 9 + A6: 8 + C1: 3 # C3: 1,4 => CTR => C3: 7 * DIS # G6: 9 + A6: 8 + C1: 3 + C3: 7 # B4: 1,4 => CTR => B4: 5,6,9 * DIS # G6: 9 + A6: 8 + C1: 3 + C3: 7 + B4: 5,6,9 # F6: 5,6 => CTR => F6: 7 * DIS # G6: 9 + A6: 8 + C1: 3 + C3: 7 + B4: 5,6,9 + F6: 7 => CTR => G6: 3,5,7,8 * STA G6: 3,5,7,8 * CNT 6 HDP CHAINS / 39 HYP OPENED
List of important HDP chains detected for E5,F6: 7..:
* DIS # E5: 7 # D6: 5,6 => CTR => D6: 3 * CNT 1 HDP CHAINS / 15 HYP OPENED
List of important HDP chains detected for E4,D6: 3..:
* DIS # E4: 3 # F6: 5,6 => CTR => F6: 7 * CNT 1 HDP CHAINS / 21 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
| 98.7..6....5.9..4......3..97..8......3...9.....2.4..1..2.....6...6...1.5....6.4.. | initial |
| 98.7..6....5.9..4......3..97..8......3...9.....2.4..1..2.....6...6...1.5....6.4.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I1,I2: 1.. / I1 = 1 => 2 pairs (_) / I2 = 1 => 3 pairs (_) A2,A3: 2.. / A2 = 2 => 3 pairs (_) / A3 = 2 => 0 pairs (_) C1,A2: 3.. / C1 = 3 => 2 pairs (_) / A2 = 3 => 3 pairs (_) E4,D6: 3.. / E4 = 3 => 1 pairs (_) / D6 = 3 => 0 pairs (_) F1,D3: 4.. / F1 = 4 => 1 pairs (_) / D3 = 4 => 6 pairs (_) I4,I5: 4.. / I4 = 4 => 1 pairs (_) / I5 = 4 => 1 pairs (_) C1,F1: 4.. / C1 = 4 => 6 pairs (_) / F1 = 4 => 1 pairs (_) E5,F6: 7.. / E5 = 7 => 1 pairs (_) / F6 = 7 => 0 pairs (_) F2,E3: 8.. / F2 = 8 => 1 pairs (_) / E3 = 8 => 0 pairs (_) B6,G6: 9.. / B6 = 9 => 2 pairs (_) / G6 = 9 => 1 pairs (_) * DURATION: 0:00:06.550584 START: 07:05:15.803696 END: 07:05:22.354280 2020-10-20 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C1,F1: 4.. / C1 = 4 ==> 0 pairs (X) / F1 = 4 => 1 pairs (_) F1,D3: 4.. / F1 = 4 => 1 pairs (_) / D3 = 4 ==> 0 pairs (X) C1,A2: 3.. / C1 = 3 => 2 pairs (_) / A2 = 3 ==> 0 pairs (X) I1,I2: 1.. / I1 = 1 ==> 2 pairs (_) / I2 = 1 ==> 4 pairs (_) A2,A3: 2.. / A2 = 2 ==> 3 pairs (_) / A3 = 2 ==> 0 pairs (_) B6,G6: 9.. / B6 = 9 ==> 2 pairs (_) / G6 = 9 ==> 0 pairs (X) I4,I5: 4.. / I4 = 4 ==> 1 pairs (_) / I5 = 4 ==> 1 pairs (_) F2,E3: 8.. / F2 = 8 ==> 1 pairs (_) / E3 = 8 ==> 0 pairs (_) E5,F6: 7.. / E5 = 7 ==> 1 pairs (_) / F6 = 7 ==> 0 pairs (_) E4,D6: 3.. / E4 = 3 ==> 1 pairs (_) / D6 = 3 ==> 0 pairs (_) * DURATION: 0:01:33.676475 START: 07:05:22.354814 END: 07:06:56.031289 2020-10-20 * REASONING C1,F1: 4.. * DIS # C1: 4 # C7: 1,7 => CTR => C7: 3,8,9 * DIS # C1: 4 + C7: 3,8,9 # C9: 1,7 => CTR => C9: 3,8,9 * DIS # C1: 4 + C7: 3,8,9 + C9: 3,8,9 # B4: 5,9 => CTR => B4: 4 * DIS # C1: 4 + C7: 3,8,9 + C9: 3,8,9 + B4: 4 => CTR => C1: 1,3 * STA C1: 1,3 * CNT 4 HDP CHAINS / 9 HYP OPENED * REASONING F1,D3: 4.. * DIS # D3: 4 # C7: 1,7 => CTR => C7: 3,8,9 * DIS # D3: 4 + C7: 3,8,9 # C9: 1,7 => CTR => C9: 3,8,9 * DIS # D3: 4 + C7: 3,8,9 + C9: 3,8,9 # B4: 5,9 => CTR => B4: 4 * DIS # D3: 4 + C7: 3,8,9 + C9: 3,8,9 + B4: 4 => CTR => D3: 1,2,5,6 * STA D3: 1,2,5,6 * CNT 4 HDP CHAINS / 9 HYP OPENED * REASONING C1,A2: 3.. * DIS # A2: 3 # C3: 1,4 => CTR => C3: 7 * DIS # A2: 3 + C3: 7 # C5: 1,4 => CTR => C5: 8 * DIS # A2: 3 + C3: 7 + C5: 8 # C4: 9 => CTR => C4: 1,4 * DIS # A2: 3 + C3: 7 + C5: 8 + C4: 1,4 # B4: 5,9 => CTR => B4: 1,4 * DIS # A2: 3 + C3: 7 + C5: 8 + C4: 1,4 + B4: 1,4 => CTR => A2: 1,2,6 * STA A2: 1,2,6 * CNT 5 HDP CHAINS / 9 HYP OPENED * REASONING I1,I2: 1.. * DIS # I2: 1 # F2: 2,6 => CTR => F2: 8 * CNT 1 HDP CHAINS / 39 HYP OPENED * REASONING B6,G6: 9.. * DIS # G6: 9 # A6: 5,6 => CTR => A6: 8 * DIS # G6: 9 + A6: 8 # C1: 1,4 => CTR => C1: 3 * DIS # G6: 9 + A6: 8 + C1: 3 # C3: 1,4 => CTR => C3: 7 * DIS # G6: 9 + A6: 8 + C1: 3 + C3: 7 # B4: 1,4 => CTR => B4: 5,6,9 * DIS # G6: 9 + A6: 8 + C1: 3 + C3: 7 + B4: 5,6,9 # F6: 5,6 => CTR => F6: 7 * DIS # G6: 9 + A6: 8 + C1: 3 + C3: 7 + B4: 5,6,9 + F6: 7 => CTR => G6: 3,5,7,8 * STA G6: 3,5,7,8 * CNT 6 HDP CHAINS / 39 HYP OPENED * REASONING E5,F6: 7.. * DIS # E5: 7 # D6: 5,6 => CTR => D6: 3 * CNT 1 HDP CHAINS / 15 HYP OPENED * REASONING E4,D6: 3.. * DIS # E4: 3 # F6: 5,6 => CTR => F6: 7 * CNT 1 HDP CHAINS / 21 HYP OPENED * DCP COUNT: (10) * CLUE FOUND
Header Info
28360;2011_12;GP;23;11.40;11.40;9.50
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C1,F1: 4..:
* INC # C1: 4 # I2: 1,7 => UNS * INC # C1: 4 # I2: 2,8 => UNS * INC # C1: 4 # B9: 1,7 => UNS * INC # C1: 4 # B9: 5,9 => UNS * DIS # C1: 4 # C7: 1,7 => CTR => C7: 3,8,9 * DIS # C1: 4 + C7: 3,8,9 # C9: 1,7 => CTR => C9: 3,8,9 * DIS # C1: 4 + C7: 3,8,9 + C9: 3,8,9 # B4: 5,9 => CTR => B4: 4 * DIS # C1: 4 + C7: 3,8,9 + C9: 3,8,9 + B4: 4 => CTR => C1: 1,3 * INC C1: 1,3 # F1: 4 => UNS * STA C1: 1,3 * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for F1,D3: 4..:
* INC # D3: 4 # I2: 1,7 => UNS * INC # D3: 4 # I2: 2,8 => UNS * INC # D3: 4 # B9: 1,7 => UNS * INC # D3: 4 # B9: 5,9 => UNS * DIS # D3: 4 # C7: 1,7 => CTR => C7: 3,8,9 * DIS # D3: 4 + C7: 3,8,9 # C9: 1,7 => CTR => C9: 3,8,9 * DIS # D3: 4 + C7: 3,8,9 + C9: 3,8,9 # B4: 5,9 => CTR => B4: 4 * DIS # D3: 4 + C7: 3,8,9 + C9: 3,8,9 + B4: 4 => CTR => D3: 1,2,5,6 * INC D3: 1,2,5,6 # F1: 4 => UNS * STA D3: 1,2,5,6 * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for C1,A2: 3..:
* INC # A2: 3 # B3: 1,4 => UNS * DIS # A2: 3 # C3: 1,4 => CTR => C3: 7 * INC # A2: 3 + C3: 7 # C4: 1,4 => UNS * DIS # A2: 3 + C3: 7 # C5: 1,4 => CTR => C5: 8 * INC # A2: 3 + C3: 7 + C5: 8 # C4: 1,4 => UNS * DIS # A2: 3 + C3: 7 + C5: 8 # C4: 9 => CTR => C4: 1,4 * DIS # A2: 3 + C3: 7 + C5: 8 + C4: 1,4 # B4: 5,9 => CTR => B4: 1,4 * DIS # A2: 3 + C3: 7 + C5: 8 + C4: 1,4 + B4: 1,4 => CTR => A2: 1,2,6 * INC A2: 1,2,6 # C1: 3 => UNS * STA A2: 1,2,6 * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for I1,I2: 1..:
* INC # I2: 1 # B3: 6,7 => UNS * INC # I2: 1 # B3: 1,4 => UNS * DIS # I2: 1 # F2: 2,6 => CTR => F2: 8 * INC # I2: 1 + F2: 8 # D3: 2,6 => UNS * INC # I2: 1 + F2: 8 # D3: 2,6 => UNS * INC # I2: 1 + F2: 8 # D3: 1,4,5 => UNS * INC # I2: 1 + F2: 8 # A2: 2,6 => UNS * INC # I2: 1 + F2: 8 # A2: 3 => UNS * INC # I2: 1 + F2: 8 # H1: 2,3 => UNS * INC # I2: 1 + F2: 8 # G2: 2,3 => UNS * INC # I2: 1 + F2: 8 # I4: 2,3 => UNS * INC # I2: 1 + F2: 8 # I9: 2,3 => UNS * INC # I2: 1 + F2: 8 # B3: 6,7 => UNS * INC # I2: 1 + F2: 8 # B3: 1,4 => UNS * INC # I2: 1 + F2: 8 # D3: 2,6 => UNS * INC # I2: 1 + F2: 8 # D3: 1,4,5 => UNS * INC # I2: 1 + F2: 8 # A2: 2,6 => UNS * INC # I2: 1 + F2: 8 # A2: 3 => UNS * INC # I2: 1 + F2: 8 # H1: 2,3 => UNS * INC # I2: 1 + F2: 8 # G2: 2,3 => UNS * INC # I2: 1 + F2: 8 # I4: 2,3 => UNS * INC # I2: 1 + F2: 8 # I9: 2,3 => UNS * INC # I2: 1 + F2: 8 # E4: 3,5 => UNS * INC # I2: 1 + F2: 8 # E4: 1,2 => UNS * INC # I2: 1 + F2: 8 # G6: 3,5 => UNS * INC # I2: 1 + F2: 8 # G6: 7,8,9 => UNS * INC # I2: 1 + F2: 8 # D7: 3,5 => UNS * INC # I2: 1 + F2: 8 # D9: 3,5 => UNS * INC # I2: 1 + F2: 8 => UNS * INC # I1: 1 # C7: 3,4 => UNS * INC # I1: 1 # C7: 1,7,8,9 => UNS * INC # I1: 1 # F1: 2,5 => UNS * INC # I1: 1 # D3: 2,5 => UNS * INC # I1: 1 # E3: 2,5 => UNS * INC # I1: 1 # H1: 2,5 => UNS * INC # I1: 1 # H1: 3 => UNS * INC # I1: 1 # E4: 2,5 => UNS * INC # I1: 1 # E5: 2,5 => UNS * INC # I1: 1 => UNS * CNT 39 HDP CHAINS / 39 HYP OPENED
Full list of HDP chains traversed for A2,A3: 2..:
* INC # A2: 2 # F2: 1,6 => UNS * INC # A2: 2 # D3: 1,6 => UNS * INC # A2: 2 # B2: 1,6 => UNS * INC # A2: 2 # B2: 7 => UNS * INC # A2: 2 # D5: 1,6 => UNS * INC # A2: 2 # D5: 2,5 => UNS * INC # A2: 2 # G3: 2,5 => UNS * INC # A2: 2 # H3: 2,5 => UNS * INC # A2: 2 # E1: 2,5 => UNS * INC # A2: 2 # E1: 1 => UNS * INC # A2: 2 # H4: 2,5 => UNS * INC # A2: 2 # H5: 2,5 => UNS * INC # A2: 2 # E1: 1,2 => UNS * INC # A2: 2 # E1: 5 => UNS * INC # A2: 2 => UNS * INC # A3: 2 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for B6,G6: 9..:
* INC # B6: 9 # B4: 1,4 => UNS * INC # B6: 9 # A5: 1,4 => UNS * INC # B6: 9 # C5: 1,4 => UNS * INC # B6: 9 # C1: 1,4 => UNS * INC # B6: 9 # C3: 1,4 => UNS * INC # B6: 9 # C7: 1,4 => UNS * INC # B6: 9 # C7: 4,7 => UNS * INC # B6: 9 # C7: 1,3,8,9 => UNS * INC # B6: 9 # F8: 4,7 => UNS * INC # B6: 9 # F8: 2,8 => UNS * INC # B6: 9 # B3: 4,7 => UNS * INC # B6: 9 # B3: 1,6 => UNS * INC # B6: 9 => UNS * INC # G6: 9 # B4: 5,6 => UNS * INC # G6: 9 # A5: 5,6 => UNS * DIS # G6: 9 # A6: 5,6 => CTR => A6: 8 * INC # G6: 9 + A6: 8 # D6: 5,6 => UNS * INC # G6: 9 + A6: 8 # F6: 5,6 => UNS * INC # G6: 9 + A6: 8 # B4: 5,6 => UNS * INC # G6: 9 + A6: 8 # A5: 5,6 => UNS * INC # G6: 9 + A6: 8 # D6: 5,6 => UNS * INC # G6: 9 + A6: 8 # F6: 5,6 => UNS * INC # G6: 9 + A6: 8 # B4: 1,4 => UNS * INC # G6: 9 + A6: 8 # C4: 1,4 => UNS * INC # G6: 9 + A6: 8 # A5: 1,4 => UNS * DIS # G6: 9 + A6: 8 # C1: 1,4 => CTR => C1: 3 * DIS # G6: 9 + A6: 8 + C1: 3 # C3: 1,4 => CTR => C3: 7 * INC # G6: 9 + A6: 8 + C1: 3 + C3: 7 # C7: 1,4 => UNS * INC # G6: 9 + A6: 8 + C1: 3 + C3: 7 # C7: 1,4 => UNS * INC # G6: 9 + A6: 8 + C1: 3 + C3: 7 # C7: 8,9 => UNS * DIS # G6: 9 + A6: 8 + C1: 3 + C3: 7 # B4: 1,4 => CTR => B4: 5,6,9 * INC # G6: 9 + A6: 8 + C1: 3 + C3: 7 + B4: 5,6,9 # C4: 1,4 => UNS * INC # G6: 9 + A6: 8 + C1: 3 + C3: 7 + B4: 5,6,9 # A5: 1,4 => UNS * INC # G6: 9 + A6: 8 + C1: 3 + C3: 7 + B4: 5,6,9 # C7: 1,4 => UNS * INC # G6: 9 + A6: 8 + C1: 3 + C3: 7 + B4: 5,6,9 # C7: 8,9 => UNS * INC # G6: 9 + A6: 8 + C1: 3 + C3: 7 + B4: 5,6,9 # B4: 5,6 => UNS * INC # G6: 9 + A6: 8 + C1: 3 + C3: 7 + B4: 5,6,9 # A5: 5,6 => UNS * DIS # G6: 9 + A6: 8 + C1: 3 + C3: 7 + B4: 5,6,9 # F6: 5,6 => CTR => F6: 7 * DIS # G6: 9 + A6: 8 + C1: 3 + C3: 7 + B4: 5,6,9 + F6: 7 => CTR => G6: 3,5,7,8 * STA G6: 3,5,7,8 * CNT 39 HDP CHAINS / 39 HYP OPENED
Full list of HDP chains traversed for I4,I5: 4..:
* INC # I4: 4 # B4: 1,9 => UNS * INC # I4: 4 # B4: 5,6 => UNS * INC # I4: 4 # C7: 1,9 => UNS * INC # I4: 4 # C9: 1,9 => UNS * INC # I4: 4 => UNS * INC # I5: 4 # A5: 1,8 => UNS * INC # I5: 4 # A5: 5,6 => UNS * INC # I5: 4 # C7: 1,8 => UNS * INC # I5: 4 # C9: 1,8 => UNS * INC # I5: 4 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for F2,E3: 8..:
* INC # F2: 8 # E4: 3,5 => UNS * INC # F2: 8 # E4: 1,2 => UNS * INC # F2: 8 # G6: 3,5 => UNS * INC # F2: 8 # G6: 7,8,9 => UNS * INC # F2: 8 # D7: 3,5 => UNS * INC # F2: 8 # D9: 3,5 => UNS * INC # F2: 8 => UNS * INC # E3: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for E5,F6: 7..:
* INC # E5: 7 # F4: 5,6 => UNS * INC # E5: 7 # D5: 5,6 => UNS * DIS # E5: 7 # D6: 5,6 => CTR => D6: 3 * INC # E5: 7 + D6: 3 # A6: 5,6 => UNS * INC # E5: 7 + D6: 3 # B6: 5,6 => UNS * INC # E5: 7 + D6: 3 # F4: 5,6 => UNS * INC # E5: 7 + D6: 3 # D5: 5,6 => UNS * INC # E5: 7 + D6: 3 # A6: 5,6 => UNS * INC # E5: 7 + D6: 3 # B6: 5,6 => UNS * INC # E5: 7 + D6: 3 # F4: 5,6 => UNS * INC # E5: 7 + D6: 3 # D5: 5,6 => UNS * INC # E5: 7 + D6: 3 # A6: 5,6 => UNS * INC # E5: 7 + D6: 3 # B6: 5,6 => UNS * INC # E5: 7 + D6: 3 => UNS * INC # F6: 7 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for E4,D6: 3..:
* INC # E4: 3 # F4: 5,6 => UNS * INC # E4: 3 # D5: 5,6 => UNS * DIS # E4: 3 # F6: 5,6 => CTR => F6: 7 * INC # E4: 3 + F6: 7 # A6: 5,6 => UNS * INC # E4: 3 + F6: 7 # B6: 5,6 => UNS * INC # E4: 3 + F6: 7 # D3: 5,6 => UNS * INC # E4: 3 + F6: 7 # D3: 1,2,4 => UNS * INC # E4: 3 + F6: 7 # F4: 5,6 => UNS * INC # E4: 3 + F6: 7 # D5: 5,6 => UNS * INC # E4: 3 + F6: 7 # A6: 5,6 => UNS * INC # E4: 3 + F6: 7 # B6: 5,6 => UNS * INC # E4: 3 + F6: 7 # D3: 5,6 => UNS * INC # E4: 3 + F6: 7 # D3: 1,2,4 => UNS * INC # E4: 3 + F6: 7 # F4: 5,6 => UNS * INC # E4: 3 + F6: 7 # D5: 5,6 => UNS * INC # E4: 3 + F6: 7 # A6: 5,6 => UNS * INC # E4: 3 + F6: 7 # B6: 5,6 => UNS * INC # E4: 3 + F6: 7 # D3: 5,6 => UNS * INC # E4: 3 + F6: 7 # D3: 1,2,4 => UNS * INC # E4: 3 + F6: 7 => UNS * INC # D6: 3 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED