Analysis of xx-ph-00001638-H307-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6.....8....7.5..9..4...3.....9...7......2..14..65..9......4...2.....1.3. initial

Autosolve

position: 98.7.....6.....8....7.5..9..4...3..9..9...7......2..14..65..9......4...2.....1.3. 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 A7,H7: 4..:

* DIS # A7: 4 # I7: 7,8 => CTR => I7: 1
* PRF # A7: 4 + I7: 1 # G1: 3,5 => SOL
* STA # A7: 4 + I7: 1 + G1: 3,5
* CNT   2 HDP CHAINS /  19 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.....8....7.5..9..4...3.....9...7......2..14..65..9......4...2.....1.3. initial
98.7.....6.....8....7.5..9..4...3..9..9...7......2..14..65..9......4...2.....1.3. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
I7,G8: 1.. / I7 = 1  =>  2 pairs (_) / G8 = 1  =>  1 pairs (_)
F7,D9: 2.. / F7 = 2  =>  2 pairs (_) / D9 = 2  =>  1 pairs (_)
I5,G6: 3.. / I5 = 3  =>  3 pairs (_) / G6 = 3  =>  1 pairs (_)
E7,D8: 3.. / E7 = 3  =>  2 pairs (_) / D8 = 3  =>  1 pairs (_)
D5,F5: 4.. / D5 = 4  =>  0 pairs (_) / F5 = 4  =>  5 pairs (_)
H7,G9: 4.. / H7 = 4  =>  1 pairs (_) / G9 = 4  =>  5 pairs (_)
A7,H7: 4.. / A7 = 4  =>  5 pairs (_) / H7 = 4  =>  1 pairs (_)
F5,F6: 5.. / F5 = 5  =>  0 pairs (_) / F6 = 5  =>  3 pairs (_)
B5,B6: 6.. / B5 = 6  =>  1 pairs (_) / B6 = 6  =>  2 pairs (_)
H2,I2: 7.. / H2 = 7  =>  1 pairs (_) / I2 = 7  =>  1 pairs (_)
E4,F6: 7.. / E4 = 7  =>  1 pairs (_) / F6 = 7  =>  1 pairs (_)
A4,E4: 7.. / A4 = 7  =>  1 pairs (_) / E4 = 7  =>  1 pairs (_)
D3,F3: 8.. / D3 = 8  =>  2 pairs (_) / F3 = 8  =>  1 pairs (_)
D6,F6: 9.. / D6 = 9  =>  0 pairs (_) / F6 = 9  =>  3 pairs (_)
B8,B9: 9.. / B8 = 9  =>  0 pairs (_) / B9 = 9  =>  1 pairs (_)
E2,E9: 9.. / E2 = 9  =>  1 pairs (_) / E9 = 9  =>  1 pairs (_)
* DURATION: 0:00:09.338162  START: 05:42:52.060468  END: 05:43:01.398630 2020-11-30
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A7,H7: 4.. / A7 = 4 ==>  0 pairs (*) / H7 = 4  =>  0 pairs (X)
* DURATION: 0:00:19.879647  START: 05:43:01.399221  END: 05:43:21.278868 2020-11-30
* REASONING A7,H7: 4..
* DIS # A7: 4 # I7: 7,8 => CTR => I7: 1
* PRF # A7: 4 + I7: 1 # G1: 3,5 => SOL
* STA # A7: 4 + I7: 1 + G1: 3,5
* CNT   2 HDP CHAINS /  19 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1638;H307;GP;22;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A7,H7: 4..:

* INC # A7: 4 # D2: 2,9 => UNS
* INC # A7: 4 # D2: 1,3 => UNS
* INC # A7: 4 # D5: 4,8 => UNS
* INC # A7: 4 # D5: 1,6 => UNS
* INC # A7: 4 # F5: 4,8 => UNS
* INC # A7: 4 # F5: 5,6 => UNS
* DIS # A7: 4 # I7: 7,8 => CTR => I7: 1
* INC # A7: 4 + I7: 1 # H8: 7,8 => UNS
* INC # A7: 4 + I7: 1 # I9: 7,8 => UNS
* INC # A7: 4 + I7: 1 # E7: 7,8 => UNS
* INC # A7: 4 + I7: 1 # F7: 7,8 => UNS
* INC # A7: 4 + I7: 1 # D2: 2,9 => UNS
* INC # A7: 4 + I7: 1 # D2: 1,3 => UNS
* INC # A7: 4 + I7: 1 # D5: 4,8 => UNS
* INC # A7: 4 + I7: 1 # D5: 1,6 => UNS
* INC # A7: 4 + I7: 1 # F5: 4,8 => UNS
* INC # A7: 4 + I7: 1 # F5: 5,6 => UNS
* PRF # A7: 4 + I7: 1 # G1: 3,5 => SOL
* STA # A7: 4 + I7: 1 + G1: 3,5
* CNT  18 HDP CHAINS /  19 HYP OPENED