Analysis of xx-ph-00036064-12_05-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 9..8..7...8..6..5.........44..7....8.6..3......3..2...1.....4....2..5.3....1....9 initial

Autosolve

position: 9..8..7...8..6..5.........44..7..3.8.6..3......3..2...1.....4....2..5.3....1....9 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 B4,H4: 2..:

* DIS # H4: 2 # I1: 1,6 => CTR => I1: 2,3
* DIS # H4: 2 + I1: 2,3 # H3: 1,6 => CTR => H3: 8,9
* DIS # H4: 2 + I1: 2,3 + H3: 8,9 # G3: 2,8,9 => CTR => G3: 1,6
* PRF # H4: 2 + I1: 2,3 + H3: 8,9 + G3: 1,6 # A3: 3,7 => SOL
* STA # H4: 2 + I1: 2,3 + H3: 8,9 + G3: 1,6 + A3: 3,7
* CNT   4 HDP CHAINS /  13 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

9..8..7...8..6..5.........44..7....8.6..3......3..2...1.....4....2..5.3....1....9 initial
9..8..7...8..6..5.........44..7..3.8.6..3......3..2...1.....4....2..5.3....1....9 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
G8,I8: 1.. / G8 = 1  =>  2 pairs (_) / I8 = 1  =>  2 pairs (_)
B4,A5: 2.. / B4 = 2  =>  0 pairs (_) / A5 = 2  =>  4 pairs (_)
B4,H4: 2.. / B4 = 2  =>  0 pairs (_) / H4 = 2  =>  4 pairs (_)
I1,I2: 3.. / I1 = 3  =>  2 pairs (_) / I2 = 3  =>  1 pairs (_)
H5,H6: 4.. / H5 = 4  =>  1 pairs (_) / H6 = 4  =>  0 pairs (_)
I7,G9: 5.. / I7 = 5  =>  0 pairs (_) / G9 = 5  =>  0 pairs (_)
F4,D6: 6.. / F4 = 6  =>  0 pairs (_) / D6 = 6  =>  3 pairs (_)
F4,H4: 6.. / F4 = 6  =>  0 pairs (_) / H4 = 6  =>  3 pairs (_)
G3,H3: 8.. / G3 = 8  =>  1 pairs (_) / H3 = 8  =>  0 pairs (_)
F5,E6: 8.. / F5 = 8  =>  1 pairs (_) / E6 = 8  =>  1 pairs (_)
A6,E6: 8.. / A6 = 8  =>  1 pairs (_) / E6 = 8  =>  1 pairs (_)
* DURATION: 0:00:06.026522  START: 01:19:38.050176  END: 01:19:44.076698 2020-12-17
* CP COUNT: (11)
* INCONCLUSIVE

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* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B4,H4: 2.. / B4 = 2  =>  0 pairs (X) / H4 = 2 ==>  0 pairs (*)
* DURATION: 0:00:13.492771  START: 01:19:44.077192  END: 01:19:57.569963 2020-12-17
* REASONING B4,H4: 2..
* DIS # H4: 2 # I1: 1,6 => CTR => I1: 2,3
* DIS # H4: 2 + I1: 2,3 # H3: 1,6 => CTR => H3: 8,9
* DIS # H4: 2 + I1: 2,3 + H3: 8,9 # G3: 2,8,9 => CTR => G3: 1,6
* PRF # H4: 2 + I1: 2,3 + H3: 8,9 + G3: 1,6 # A3: 3,7 => SOL
* STA # H4: 2 + I1: 2,3 + H3: 8,9 + G3: 1,6 + A3: 3,7
* CNT   4 HDP CHAINS /  13 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

36064;12_05;GP;21;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B4,H4: 2..:

* INC # H4: 2 # A3: 3,7 => UNS
* INC # H4: 2 # B3: 3,7 => UNS
* INC # H4: 2 # F2: 3,7 => UNS
* INC # H4: 2 # F2: 1,4,9 => UNS
* INC # H4: 2 # A9: 3,7 => UNS
* INC # H4: 2 # A9: 5,6,8 => UNS
* DIS # H4: 2 # I1: 1,6 => CTR => I1: 2,3
* INC # H4: 2 + I1: 2,3 # G3: 1,6 => UNS
* DIS # H4: 2 + I1: 2,3 # H3: 1,6 => CTR => H3: 8,9
* INC # H4: 2 + I1: 2,3 + H3: 8,9 # G3: 1,6 => UNS
* DIS # H4: 2 + I1: 2,3 + H3: 8,9 # G3: 2,8,9 => CTR => G3: 1,6
* PRF # H4: 2 + I1: 2,3 + H3: 8,9 + G3: 1,6 # A3: 3,7 => SOL
* STA # H4: 2 + I1: 2,3 + H3: 8,9 + G3: 1,6 + A3: 3,7
* CNT  12 HDP CHAINS /  13 HYP OPENED