Analysis of xx-ph-00067664-12_11-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....7.54.........9.8..4...3..86.3...6..4...9..3..2......4..9..4.6....4....1. initial

Autosolve

position: 98.76.4..7.54......4..9.8..4...3..86.3...6..4...9.43..2......4..9..4.6....4....1. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for C4,G4: 9..:

* DIS # G4: 9 # B4: 1,7 => CTR => B4: 2,5
* DIS # G4: 9 + B4: 2,5 # B6: 1,7 => CTR => B6: 2,5
* PRF # G4: 9 + B4: 2,5 + B6: 2,5 # C6: 1,7 => SOL
* STA # G4: 9 + B4: 2,5 + B6: 2,5 + C6: 1,7
* CNT   3 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

98.76....7.54.........9.8..4...3..86.3...6..4...9..3..2......4..9..4.6....4....1. initial
98.76.4..7.54......4..9.8..4...3..86.3...6..4...9.43..2......4..9..4.6....4....1. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
H2,H3: 6.. / H2 = 6  =>  1 pairs (_) / H3 = 6  =>  2 pairs (_)
D7,D9: 6.. / D7 = 6  =>  0 pairs (_) / D9 = 6  =>  1 pairs (_)
B2,H2: 6.. / B2 = 6  =>  2 pairs (_) / H2 = 6  =>  1 pairs (_)
H3,I3: 7.. / H3 = 7  =>  2 pairs (_) / I3 = 7  =>  0 pairs (_)
E2,F2: 8.. / E2 = 8  =>  1 pairs (_) / F2 = 8  =>  2 pairs (_)
C4,C5: 9.. / C4 = 9  =>  0 pairs (_) / C5 = 9  =>  5 pairs (_)
F7,F9: 9.. / F7 = 9  =>  1 pairs (_) / F9 = 9  =>  0 pairs (_)
C4,G4: 9.. / C4 = 9  =>  0 pairs (_) / G4 = 9  =>  5 pairs (_)
H2,H5: 9.. / H2 = 9  =>  4 pairs (_) / H5 = 9  =>  0 pairs (_)
* DURATION: 0:00:06.774471  START: 18:51:44.872288  END: 18:51:51.646759 2020-10-27
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C4,G4: 9.. / C4 = 9  =>  0 pairs (X) / G4 = 9 ==>  0 pairs (*)
* DURATION: 0:00:17.013652  START: 18:51:51.647420  END: 18:52:08.661072 2020-10-27
* REASONING C4,G4: 9..
* DIS # G4: 9 # B4: 1,7 => CTR => B4: 2,5
* DIS # G4: 9 + B4: 2,5 # B6: 1,7 => CTR => B6: 2,5
* PRF # G4: 9 + B4: 2,5 + B6: 2,5 # C6: 1,7 => SOL
* STA # G4: 9 + B4: 2,5 + B6: 2,5 + C6: 1,7
* CNT   3 HDP CHAINS /  16 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

67664;12_11;GP;25;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C4,G4: 9..:

* INC # G4: 9 # C1: 1,3 => UNS
* INC # G4: 9 # C3: 1,3 => UNS
* INC # G4: 9 # D3: 1,3 => UNS
* INC # G4: 9 # F3: 1,3 => UNS
* INC # G4: 9 # A8: 1,3 => UNS
* INC # G4: 9 # A8: 5,8 => UNS
* INC # G4: 9 # I1: 1,2 => UNS
* INC # G4: 9 # I2: 1,2 => UNS
* INC # G4: 9 # E2: 1,2 => UNS
* INC # G4: 9 # F2: 1,2 => UNS
* INC # G4: 9 # G5: 1,2 => UNS
* INC # G4: 9 # G5: 5,7 => UNS
* DIS # G4: 9 # B4: 1,7 => CTR => B4: 2,5
* DIS # G4: 9 + B4: 2,5 # B6: 1,7 => CTR => B6: 2,5
* PRF # G4: 9 + B4: 2,5 + B6: 2,5 # C6: 1,7 => SOL
* STA # G4: 9 + B4: 2,5 + B6: 2,5 + C6: 1,7
* CNT  15 HDP CHAINS /  16 HYP OPENED