Analysis of xx-ph-02319668-2019_03_16-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7.5.6..4...6..9...36....8....78..........3..7.9...73....2....96...6....1 initial

Autosolve

position: 98.7..6..7.5.6..4...6..9...36..7.8....78.6........3.6769...73....2....96...69...1 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for C1,C9: 3..:

* DIS # C1: 3 # G2: 1,2 => CTR => G2: 9
* DIS # C1: 3 + G2: 9 # I4: 2,5 => CTR => I4: 4
* PRF # C1: 3 + G2: 9 + I4: 4 # F1: 2,5 => SOL
* STA # C1: 3 + G2: 9 + I4: 4 + F1: 2,5
* CNT   3 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..7.5.6..4...6..9...36....8....78..........3..7.9...73....2....96...6....1 initial
98.7..6..7.5.6..4...6..9...36..7.8....78.6........3.6769...73....2....96...69...1 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
H5,I5: 3.. / H5 = 3  =>  0 pairs (_) / I5 = 3  =>  2 pairs (_)
B9,C9: 3.. / B9 = 3  =>  4 pairs (_) / C9 = 3  =>  1 pairs (_)
D8,E8: 3.. / D8 = 3  =>  1 pairs (_) / E8 = 3  =>  0 pairs (_)
C1,C9: 3.. / C1 = 3  =>  4 pairs (_) / C9 = 3  =>  1 pairs (_)
G3,H3: 7.. / G3 = 7  =>  2 pairs (_) / H3 = 7  =>  0 pairs (_)
B8,B9: 7.. / B8 = 7  =>  1 pairs (_) / B9 = 7  =>  1 pairs (_)
B8,G8: 7.. / B8 = 7  =>  1 pairs (_) / G8 = 7  =>  1 pairs (_)
H3,H9: 7.. / H3 = 7  =>  0 pairs (_) / H9 = 7  =>  2 pairs (_)
F2,E3: 8.. / F2 = 8  =>  0 pairs (_) / E3 = 8  =>  1 pairs (_)
A6,C6: 8.. / A6 = 8  =>  1 pairs (_) / C6 = 8  =>  2 pairs (_)
F2,I2: 8.. / F2 = 8  =>  0 pairs (_) / I2 = 8  =>  1 pairs (_)
G2,I2: 9.. / G2 = 9  =>  0 pairs (_) / I2 = 9  =>  1 pairs (_)
C4,C6: 9.. / C4 = 9  =>  0 pairs (_) / C6 = 9  =>  2 pairs (_)
D4,D6: 9.. / D4 = 9  =>  2 pairs (_) / D6 = 9  =>  0 pairs (_)
G5,I5: 9.. / G5 = 9  =>  1 pairs (_) / I5 = 9  =>  0 pairs (_)
C4,D4: 9.. / C4 = 9  =>  0 pairs (_) / D4 = 9  =>  2 pairs (_)
C6,D6: 9.. / C6 = 9  =>  2 pairs (_) / D6 = 9  =>  0 pairs (_)
G2,G5: 9.. / G2 = 9  =>  0 pairs (_) / G5 = 9  =>  1 pairs (_)
I2,I5: 9.. / I2 = 9  =>  1 pairs (_) / I5 = 9  =>  0 pairs (_)
* DURATION: 0:00:14.201539  START: 20:33:13.595444  END: 20:33:27.796983 2020-10-12
* CP COUNT: (19)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C1,C9: 3.. / C1 = 3 ==>  0 pairs (*) / C9 = 3  =>  0 pairs (X)
* DURATION: 0:00:31.028768  START: 20:33:27.797630  END: 20:33:58.826398 2020-10-12
* REASONING C1,C9: 3..
* DIS # C1: 3 # G2: 1,2 => CTR => G2: 9
* DIS # C1: 3 + G2: 9 # I4: 2,5 => CTR => I4: 4
* PRF # C1: 3 + G2: 9 + I4: 4 # F1: 2,5 => SOL
* STA # C1: 3 + G2: 9 + I4: 4 + F1: 2,5
* CNT   3 HDP CHAINS /  30 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

2319668;2019_03_16;PAQ;25;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C1,C9: 3..:

* INC # C1: 3 # A3: 1,2 => UNS
* INC # C1: 3 # B3: 1,2 => UNS
* INC # C1: 3 # D2: 1,2 => UNS
* INC # C1: 3 # F2: 1,2 => UNS
* DIS # C1: 3 # G2: 1,2 => CTR => G2: 9
* INC # C1: 3 + G2: 9 # B5: 1,2 => UNS
* INC # C1: 3 + G2: 9 # B6: 1,2 => UNS
* INC # C1: 3 + G2: 9 # A3: 1,2 => UNS
* INC # C1: 3 + G2: 9 # B3: 1,2 => UNS
* INC # C1: 3 + G2: 9 # D2: 1,2 => UNS
* INC # C1: 3 + G2: 9 # F2: 1,2 => UNS
* INC # C1: 3 + G2: 9 # B5: 1,2 => UNS
* INC # C1: 3 + G2: 9 # B6: 1,2 => UNS
* INC # C1: 3 + G2: 9 # H1: 2,5 => UNS
* INC # C1: 3 + G2: 9 # G3: 2,5 => UNS
* INC # C1: 3 + G2: 9 # H3: 2,5 => UNS
* INC # C1: 3 + G2: 9 # I3: 2,5 => UNS
* INC # C1: 3 + G2: 9 # E1: 2,5 => UNS
* INC # C1: 3 + G2: 9 # F1: 2,5 => UNS
* DIS # C1: 3 + G2: 9 # I4: 2,5 => CTR => I4: 4
* INC # C1: 3 + G2: 9 + I4: 4 # I7: 2,5 => UNS
* INC # C1: 3 + G2: 9 + I4: 4 # I7: 2,5 => UNS
* INC # C1: 3 + G2: 9 + I4: 4 # I7: 8 => UNS
* INC # C1: 3 + G2: 9 + I4: 4 # H1: 2,5 => UNS
* INC # C1: 3 + G2: 9 + I4: 4 # G3: 2,5 => UNS
* INC # C1: 3 + G2: 9 + I4: 4 # H3: 2,5 => UNS
* INC # C1: 3 + G2: 9 + I4: 4 # I3: 2,5 => UNS
* INC # C1: 3 + G2: 9 + I4: 4 # E1: 2,5 => UNS
* PRF # C1: 3 + G2: 9 + I4: 4 # F1: 2,5 => SOL
* STA # C1: 3 + G2: 9 + I4: 4 + F1: 2,5
* CNT  29 HDP CHAINS /  30 HYP OPENED