Analysis of xx-ph-02319306-2019_03_16-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7......5...4.3.8.7.2...3.....74..3.8.....8.6...3..71.4...1.........4.... initial

Autosolve

position: 98.7..6..73.....5...4.3.8.7.2...3.....74..3.83....8.6...3..71.4...1........34.... 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 D2,D7: 8..:

* DIS # D7: 8 # H3: 2,9 => CTR => H3: 1
* DIS # D7: 8 + H3: 1 # A3: 5,6 => CTR => A3: 2
* DIS # D7: 8 + H3: 1 + A3: 2 # B8: 5,6 => CTR => B8: 4,7,9
* DIS # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 # B9: 5,6 => CTR => B9: 1,7,9
* PRF # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 # F2: 2,6 => SOL
* STA # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 + F2: 2,6
* CNT   5 HDP CHAINS /  30 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..7......5...4.3.8.7.2...3.....74..3.8.....8.6...3..71.4...1.........4.... initial
98.7..6..73.....5...4.3.8.7.2...3.....74..3.83....8.6...3..71.4...1........34.... autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
H1,I1: 3.. / H1 = 3  =>  2 pairs (_) / I1 = 3  =>  0 pairs (_)
H8,I8: 3.. / H8 = 3  =>  0 pairs (_) / I8 = 3  =>  2 pairs (_)
H1,H8: 3.. / H1 = 3  =>  2 pairs (_) / H8 = 3  =>  0 pairs (_)
I1,I8: 3.. / I1 = 3  =>  0 pairs (_) / I8 = 3  =>  2 pairs (_)
F1,F2: 4.. / F1 = 4  =>  0 pairs (_) / F2 = 4  =>  1 pairs (_)
H1,G2: 4.. / H1 = 4  =>  1 pairs (_) / G2 = 4  =>  0 pairs (_)
A4,B6: 4.. / A4 = 4  =>  2 pairs (_) / B6 = 4  =>  0 pairs (_)
A8,B8: 4.. / A8 = 4  =>  0 pairs (_) / B8 = 4  =>  2 pairs (_)
F1,H1: 4.. / F1 = 4  =>  0 pairs (_) / H1 = 4  =>  1 pairs (_)
F2,G2: 4.. / F2 = 4  =>  1 pairs (_) / G2 = 4  =>  0 pairs (_)
B6,G6: 4.. / B6 = 4  =>  0 pairs (_) / G6 = 4  =>  2 pairs (_)
A4,A8: 4.. / A4 = 4  =>  2 pairs (_) / A8 = 4  =>  0 pairs (_)
B6,B8: 4.. / B6 = 4  =>  0 pairs (_) / B8 = 4  =>  2 pairs (_)
H1,H4: 4.. / H1 = 4  =>  1 pairs (_) / H4 = 4  =>  0 pairs (_)
I8,I9: 6.. / I8 = 6  =>  0 pairs (_) / I9 = 6  =>  0 pairs (_)
E4,E6: 7.. / E4 = 7  =>  0 pairs (_) / E6 = 7  =>  0 pairs (_)
B8,B9: 7.. / B8 = 7  =>  0 pairs (_) / B9 = 7  =>  3 pairs (_)
E6,G6: 7.. / E6 = 7  =>  0 pairs (_) / G6 = 7  =>  0 pairs (_)
D2,E2: 8.. / D2 = 8  =>  0 pairs (_) / E2 = 8  =>  4 pairs (_)
A4,C4: 8.. / A4 = 8  =>  0 pairs (_) / C4 = 8  =>  0 pairs (_)
D2,D7: 8.. / D2 = 8  =>  0 pairs (_) / D7 = 8  =>  4 pairs (_)
* DURATION: 0:00:17.415127  START: 16:21:57.139042  END: 16:22:14.554169 2020-10-12
* CP COUNT: (21)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D2,D7: 8.. / D2 = 8  =>  0 pairs (X) / D7 = 8 ==>  0 pairs (*)
* DURATION: 0:00:37.029260  START: 16:22:14.554860  END: 16:22:51.584120 2020-10-12
* REASONING D2,D7: 8..
* DIS # D7: 8 # H3: 2,9 => CTR => H3: 1
* DIS # D7: 8 + H3: 1 # A3: 5,6 => CTR => A3: 2
* DIS # D7: 8 + H3: 1 + A3: 2 # B8: 5,6 => CTR => B8: 4,7,9
* DIS # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 # B9: 5,6 => CTR => B9: 1,7,9
* PRF # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 # F2: 2,6 => SOL
* STA # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 + F2: 2,6
* CNT   5 HDP CHAINS /  30 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

2319306;2019_03_16;PAQ;24;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D2,D7: 8..:

* INC # D7: 8 # G4: 4,7 => UNS
* INC # D7: 8 # G6: 4,7 => UNS
* INC # D7: 8 # G8: 2,9 => UNS
* INC # D7: 8 # I8: 2,9 => UNS
* INC # D7: 8 # G9: 2,9 => UNS
* INC # D7: 8 # I9: 2,9 => UNS
* INC # D7: 8 # E7: 2,9 => UNS
* INC # D7: 8 # E7: 5,6 => UNS
* DIS # D7: 8 # H3: 2,9 => CTR => H3: 1
* INC # D7: 8 + H3: 1 # G8: 2,9 => UNS
* INC # D7: 8 + H3: 1 # I8: 2,9 => UNS
* INC # D7: 8 + H3: 1 # G9: 2,9 => UNS
* INC # D7: 8 + H3: 1 # I9: 2,9 => UNS
* INC # D7: 8 + H3: 1 # E7: 2,9 => UNS
* INC # D7: 8 + H3: 1 # E7: 5,6 => UNS
* INC # D7: 8 + H3: 1 # H8: 7,8 => UNS
* INC # D7: 8 + H3: 1 # H8: 3 => UNS
* DIS # D7: 8 + H3: 1 # A3: 5,6 => CTR => A3: 2
* INC # D7: 8 + H3: 1 + A3: 2 # D3: 5,6 => UNS
* INC # D7: 8 + H3: 1 + A3: 2 # F3: 5,6 => UNS
* INC # D7: 8 + H3: 1 + A3: 2 # B5: 5,6 => UNS
* INC # D7: 8 + H3: 1 + A3: 2 # B7: 5,6 => UNS
* DIS # D7: 8 + H3: 1 + A3: 2 # B8: 5,6 => CTR => B8: 4,7,9
* DIS # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 # B9: 5,6 => CTR => B9: 1,7,9
* INC # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 # D3: 5,6 => UNS
* INC # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 # F3: 5,6 => UNS
* INC # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 # B5: 5,6 => UNS
* INC # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 # B7: 5,6 => UNS
* PRF # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 # F2: 2,6 => SOL
* STA # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 + F2: 2,6
* CNT  29 HDP CHAINS /  30 HYP OPENED