Analysis of xx-ph-02716757-2019_08_1120_160-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..75.....8...6.......4..6......79..56.........3..98...5...56.9.7......21.. initial

Autosolve

position: 98.7..6..75...6.8...6......54..6......79..56.69......3..98...5...56.9.7......21.. autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.237660

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000021

List of important HDP chains detected for D9,E9: 5..:

* DIS # E9: 5 # I4: 1,2 => CTR => I4: 7,8,9
* PRF # E9: 5 + I4: 7,8,9 # I1: 2,4 => SOL
* STA # E9: 5 + I4: 7,8,9 + I1: 2,4
* CNT   2 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..75.....8...6.......4..6......79..56.........3..98...5...56.9.7......21.. initial
98.7..6..75...6.8...6......54..6......79..56.69......3..98...5...56.9.7......21.. autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (2)
B7: 6,7
B9: 6,7

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* CONSTRAINT PAIRS (AUTO SOLVE)
I1,I3: 5.. / I1 = 5  =>  2 pairs (_) / I3 = 5  =>  2 pairs (_)
D9,E9: 5.. / D9 = 5  =>  2 pairs (_) / E9 = 5  =>  3 pairs (_)
B7,B9: 6.. / B7 = 6  =>  2 pairs (_) / B9 = 6  =>  0 pairs (_)
I7,I9: 6.. / I7 = 6  =>  0 pairs (_) / I9 = 6  =>  2 pairs (_)
B7,I7: 6.. / B7 = 6  =>  2 pairs (_) / I7 = 6  =>  0 pairs (_)
B9,I9: 6.. / B9 = 6  =>  0 pairs (_) / I9 = 6  =>  2 pairs (_)
G3,I3: 7.. / G3 = 7  =>  2 pairs (_) / I3 = 7  =>  2 pairs (_)
B7,B9: 7.. / B7 = 7  =>  0 pairs (_) / B9 = 7  =>  2 pairs (_)
B9,E9: 7.. / B9 = 7  =>  2 pairs (_) / E9 = 7  =>  0 pairs (_)
I3,I4: 7.. / I3 = 7  =>  2 pairs (_) / I4 = 7  =>  2 pairs (_)
E3,F3: 8.. / E3 = 8  =>  2 pairs (_) / F3 = 8  =>  2 pairs (_)
E2,E3: 9.. / E2 = 9  =>  2 pairs (_) / E3 = 9  =>  2 pairs (_)
H9,I9: 9.. / H9 = 9  =>  3 pairs (_) / I9 = 9  =>  1 pairs (_)
* DURATION: 0:00:14.011039  START: 11:23:21.245249  END: 11:23:35.256288 2020-11-18
* CP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D9,E9: 5.. / D9 = 5  =>  0 pairs (X) / E9 = 5 ==>  0 pairs (*)
* DURATION: 0:00:33.645391  START: 11:23:36.266576  END: 11:24:09.911967 2020-11-18
* REASONING D9,E9: 5..
* DIS # E9: 5 # I4: 1,2 => CTR => I4: 7,8,9
* PRF # E9: 5 + I4: 7,8,9 # I1: 2,4 => SOL
* STA # E9: 5 + I4: 7,8,9 + I1: 2,4
* CNT   2 HDP CHAINS /  21 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

2716757;2019_08_1120_160;PAQ;24;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D9,E9: 5..:

* DIS # E9: 5 # I4: 1,2 => CTR => I4: 7,8,9
* INC # E9: 5 + I4: 7,8,9 # I5: 1,2 => UNS
* INC # E9: 5 + I4: 7,8,9 # H6: 1,2 => UNS
* INC # E9: 5 + I4: 7,8,9 # C4: 1,2 => UNS
* INC # E9: 5 + I4: 7,8,9 # D4: 1,2 => UNS
* INC # E9: 5 + I4: 7,8,9 # H1: 1,2 => UNS
* INC # E9: 5 + I4: 7,8,9 # H3: 1,2 => UNS
* INC # E9: 5 + I4: 7,8,9 # E7: 3,4 => UNS
* INC # E9: 5 + I4: 7,8,9 # F7: 3,4 => UNS
* INC # E9: 5 + I4: 7,8,9 # E8: 3,4 => UNS
* INC # E9: 5 + I4: 7,8,9 # A9: 3,4 => UNS
* INC # E9: 5 + I4: 7,8,9 # C9: 3,4 => UNS
* INC # E9: 5 + I4: 7,8,9 # D2: 3,4 => UNS
* INC # E9: 5 + I4: 7,8,9 # D3: 3,4 => UNS
* INC # E9: 5 + I4: 7,8,9 # G7: 2,4 => UNS
* INC # E9: 5 + I4: 7,8,9 # G8: 2,4 => UNS
* INC # E9: 5 + I4: 7,8,9 # I8: 2,4 => UNS
* INC # E9: 5 + I4: 7,8,9 # A7: 2,4 => UNS
* INC # E9: 5 + I4: 7,8,9 # A7: 1,3 => UNS
* PRF # E9: 5 + I4: 7,8,9 # I1: 2,4 => SOL
* STA # E9: 5 + I4: 7,8,9 + I1: 2,4
* CNT  20 HDP CHAINS /  21 HYP OPENED