Analysis of xx-ph-00416582-12_12_03-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1.....1.23.12.3.4.....5......36.1...4.7....6...23.6..4.7....8..29........ initial

Autosolve

position: 3.......1.....1.23.12.3.4.....5.6....36.1...4.7....6...23.6..4.7....8..29........ autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for B8,H8: 6..:

* DIS # H8: 6 # A6: 5,8 => CTR => A6: 1,2,4
* DIS # H8: 6 + A6: 1,2,4 # C6: 8,9 => CTR => C6: 1,5
* PRF # H8: 6 + A6: 1,2,4 + C6: 1,5 # C4: 1 => SOL
* STA # H8: 6 + A6: 1,2,4 + C6: 1,5 + C4: 1
* CNT   3 HDP CHAINS /  22 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.....1.23.12.3.4.....5......36.1...4.7....6...23.6..4.7....8..29........ initial
3.......1.....1.23.12.3.4.....5.6....36.1...4.7....6...23.6..4.7....8..29........ autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
G4,G5: 2.. / G4 = 2  =>  0 pairs (_) / G5 = 2  =>  3 pairs (_)
D6,F6: 3.. / D6 = 3  =>  0 pairs (_) / F6 = 3  =>  0 pairs (_)
G4,H4: 3.. / G4 = 3  =>  3 pairs (_) / H4 = 3  =>  0 pairs (_)
F6,F9: 3.. / F6 = 3  =>  0 pairs (_) / F9 = 3  =>  0 pairs (_)
A2,A3: 6.. / A2 = 6  =>  2 pairs (_) / A3 = 6  =>  0 pairs (_)
B8,B9: 6.. / B8 = 6  =>  0 pairs (_) / B9 = 6  =>  3 pairs (_)
D1,H1: 6.. / D1 = 6  =>  2 pairs (_) / H1 = 6  =>  0 pairs (_)
A2,D2: 6.. / A2 = 6  =>  2 pairs (_) / D2 = 6  =>  0 pairs (_)
B8,H8: 6.. / B8 = 6  =>  0 pairs (_) / H8 = 6  =>  3 pairs (_)
I3,I9: 6.. / I3 = 6  =>  2 pairs (_) / I9 = 6  =>  0 pairs (_)
C1,C2: 7.. / C1 = 7  =>  0 pairs (_) / C2 = 7  =>  0 pairs (_)
* DURATION: 0:00:11.063020  START: 04:25:15.613965  END: 04:25:26.676985 2020-10-02
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B8,H8: 6.. / B8 = 6  =>  0 pairs (X) / H8 = 6 ==>  0 pairs (*)
* DURATION: 0:00:26.741973  START: 04:25:26.677840  END: 04:25:53.419813 2020-10-02
* REASONING B8,H8: 6..
* DIS # H8: 6 # A6: 5,8 => CTR => A6: 1,2,4
* DIS # H8: 6 + A6: 1,2,4 # C6: 8,9 => CTR => C6: 1,5
* PRF # H8: 6 + A6: 1,2,4 + C6: 1,5 # C4: 1 => SOL
* STA # H8: 6 + A6: 1,2,4 + C6: 1,5 + C4: 1
* CNT   3 HDP CHAINS /  22 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

416582;12_12_03;dob;23;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B8,H8: 6..:

* INC # H8: 6 # B1: 5,8 => UNS
* INC # H8: 6 # C1: 5,8 => UNS
* INC # H8: 6 # B2: 5,8 => UNS
* INC # H8: 6 # C2: 5,8 => UNS
* INC # H8: 6 # H3: 5,8 => UNS
* INC # H8: 6 # H3: 7,9 => UNS
* INC # H8: 6 # A5: 5,8 => UNS
* DIS # H8: 6 # A6: 5,8 => CTR => A6: 1,2,4
* INC # H8: 6 + A6: 1,2,4 # A7: 5,8 => UNS
* INC # H8: 6 + A6: 1,2,4 # B1: 5,8 => UNS
* INC # H8: 6 + A6: 1,2,4 # C1: 5,8 => UNS
* INC # H8: 6 + A6: 1,2,4 # B2: 5,8 => UNS
* INC # H8: 6 + A6: 1,2,4 # C2: 5,8 => UNS
* INC # H8: 6 + A6: 1,2,4 # H3: 5,8 => UNS
* INC # H8: 6 + A6: 1,2,4 # H3: 7,9 => UNS
* INC # H8: 6 + A6: 1,2,4 # A5: 5,8 => UNS
* INC # H8: 6 + A6: 1,2,4 # A7: 5,8 => UNS
* INC # H8: 6 + A6: 1,2,4 # C4: 8,9 => UNS
* DIS # H8: 6 + A6: 1,2,4 # C6: 8,9 => CTR => C6: 1,5
* INC # H8: 6 + A6: 1,2,4 + C6: 1,5 # C4: 8,9 => UNS
* PRF # H8: 6 + A6: 1,2,4 + C6: 1,5 # C4: 1 => SOL
* STA # H8: 6 + A6: 1,2,4 + C6: 1,5 + C4: 1
* CNT  21 HDP CHAINS /  22 HYP OPENED