Analysis of xx-ph-00001204-H287-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....7...9.6....5..4...6..3..7...9.........2....31.3.9..8......1..4......5..2 initial

Autosolve

position: 98.7.....7...9.6....5..4...6..3..7...9.........2....31.3.9..8......1..4......5..2 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 F6,G6: 9..:

* DIS # G6: 9 # H9: 1,6 => CTR => H9: 7,9
* DIS # G6: 9 + H9: 7,9 # I8: 3,5 => CTR => I8: 6,7,9
* DIS # G6: 9 + H9: 7,9 + I8: 6,7,9 # G1: 1,2 => CTR => G1: 4,5
* DIS # G6: 9 + H9: 7,9 + I8: 6,7,9 + G1: 4,5 # A3: 1,2 => CTR => A3: 3
* PRF # G6: 9 + H9: 7,9 + I8: 6,7,9 + G1: 4,5 + A3: 3 # D3: 1,2 => SOL
* STA # G6: 9 + H9: 7,9 + I8: 6,7,9 + G1: 4,5 + A3: 3 + D3: 1,2
* CNT   5 HDP CHAINS /  12 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.....7...9.6....5..4...6..3..7...9.........2....31.3.9..8......1..4......5..2 initial
98.7.....7...9.6....5..4...6..3..7...9.........2....31.3.9..8......1..4......5..2 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
A5,C5: 3.. / A5 = 3  =>  1 pairs (_) / C5 = 3  =>  2 pairs (_)
F8,E9: 3.. / F8 = 3  =>  2 pairs (_) / E9 = 3  =>  1 pairs (_)
E9,G9: 3.. / E9 = 3  =>  1 pairs (_) / G9 = 3  =>  2 pairs (_)
A3,A5: 3.. / A3 = 3  =>  2 pairs (_) / A5 = 3  =>  1 pairs (_)
E1,D2: 5.. / E1 = 5  =>  2 pairs (_) / D2 = 5  =>  0 pairs (_)
C1,B3: 6.. / C1 = 6  =>  1 pairs (_) / B3 = 6  =>  0 pairs (_)
H5,I5: 6.. / H5 = 6  =>  0 pairs (_) / I5 = 6  =>  1 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  1 pairs (_)
C5,B6: 7.. / C5 = 7  =>  2 pairs (_) / B6 = 7  =>  0 pairs (_)
F4,F6: 9.. / F4 = 9  =>  4 pairs (_) / F6 = 9  =>  1 pairs (_)
C8,C9: 9.. / C8 = 9  =>  1 pairs (_) / C9 = 9  =>  1 pairs (_)
F6,G6: 9.. / F6 = 9  =>  1 pairs (_) / G6 = 9  =>  4 pairs (_)
* DURATION: 0:00:09.658711  START: 05:05:01.628545  END: 05:05:11.287256 2020-11-26
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F6,G6: 9.. / F6 = 9  =>  0 pairs (X) / G6 = 9 ==>  0 pairs (*)
* DURATION: 0:00:20.021561  START: 05:05:11.287854  END: 05:05:31.309415 2020-11-26
* REASONING F6,G6: 9..
* DIS # G6: 9 # H9: 1,6 => CTR => H9: 7,9
* DIS # G6: 9 + H9: 7,9 # I8: 3,5 => CTR => I8: 6,7,9
* DIS # G6: 9 + H9: 7,9 + I8: 6,7,9 # G1: 1,2 => CTR => G1: 4,5
* DIS # G6: 9 + H9: 7,9 + I8: 6,7,9 + G1: 4,5 # A3: 1,2 => CTR => A3: 3
* PRF # G6: 9 + H9: 7,9 + I8: 6,7,9 + G1: 4,5 + A3: 3 # D3: 1,2 => SOL
* STA # G6: 9 + H9: 7,9 + I8: 6,7,9 + G1: 4,5 + A3: 3 + D3: 1,2
* CNT   5 HDP CHAINS /  12 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1204;H287;GP;22;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F6,G6: 9..:

* INC # G6: 9 # H9: 7,9 => UNS
* DIS # G6: 9 # H9: 1,6 => CTR => H9: 7,9
* INC # G6: 9 + H9: 7,9 # I8: 7,9 => UNS
* INC # G6: 9 + H9: 7,9 # I8: 3,5,6 => UNS
* DIS # G6: 9 + H9: 7,9 # I8: 3,5 => CTR => I8: 6,7,9
* DIS # G6: 9 + H9: 7,9 + I8: 6,7,9 # G1: 1,2 => CTR => G1: 4,5
* INC # G6: 9 + H9: 7,9 + I8: 6,7,9 + G1: 4,5 # H1: 1,2 => UNS
* INC # G6: 9 + H9: 7,9 + I8: 6,7,9 + G1: 4,5 # H2: 1,2 => UNS
* DIS # G6: 9 + H9: 7,9 + I8: 6,7,9 + G1: 4,5 # A3: 1,2 => CTR => A3: 3
* INC # G6: 9 + H9: 7,9 + I8: 6,7,9 + G1: 4,5 + A3: 3 # B3: 1,2 => UNS
* PRF # G6: 9 + H9: 7,9 + I8: 6,7,9 + G1: 4,5 + A3: 3 # D3: 1,2 => SOL
* STA # G6: 9 + H9: 7,9 + I8: 6,7,9 + G1: 4,5 + A3: 3 + D3: 1,2
* CNT  11 HDP CHAINS /  12 HYP OPENED