Analysis of xx-ph-00014590-kz1a-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....7...6......5..97..4....78.....6...3.....2...1.9...65....4.3..6....1....2 initial

Autosolve

position: 98.7.....7...6......5..97..4....78.....6...3.....2...1.9...65....4.3..6....1....2 autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

See Appendix: Full HDP Chains for full list of HDP chains.

Pair Reduction

Pair Reduction

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:06.128302

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000025

List of important HDP chains detected for H7,G8: 1..:

* PRF # H7: 1 # B4: 1,5 => SOL
* STA # H7: 1 + B4: 1,5
* CNT   1 HDP CHAINS /   4 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...6......5..97..4....78.....6...3.....2...1.9...65....4.3..6....1....2 initial
98.7.....7...6......5..97..4....78.....6...3.....2...1.9...65....4.3..6....1....2 autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (1)
G8: 1,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H7,G8: 1.. / H7 = 1  =>  5 pairs (_) / G8 = 1  =>  0 pairs (_)
H4,G5: 2.. / H4 = 2  =>  2 pairs (_) / G5 = 2  =>  2 pairs (_)
I7,G9: 3.. / I7 = 3  =>  2 pairs (_) / G9 = 3  =>  1 pairs (_)
B2,B3: 4.. / B2 = 4  =>  1 pairs (_) / B3 = 4  =>  2 pairs (_)
I4,G6: 6.. / I4 = 6  =>  2 pairs (_) / G6 = 6  =>  2 pairs (_)
G1,G6: 6.. / G1 = 6  =>  2 pairs (_) / G6 = 6  =>  2 pairs (_)
I5,H6: 7.. / I5 = 7  =>  2 pairs (_) / H6 = 7  =>  1 pairs (_)
E7,E9: 7.. / E7 = 7  =>  1 pairs (_) / E9 = 7  =>  3 pairs (_)
B8,I8: 7.. / B8 = 7  =>  2 pairs (_) / I8 = 7  =>  1 pairs (_)
D8,E9: 9.. / D8 = 9  =>  2 pairs (_) / E9 = 9  =>  3 pairs (_)
* DURATION: 0:00:06.550856  START: 07:41:14.064517  END: 07:41:20.615373 2020-12-03
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H7,G8: 1.. / H7 = 1 ==>  0 pairs (*) / G8 = 1  =>  0 pairs (X)
* DURATION: 0:00:10.223510  START: 07:41:28.521455  END: 07:41:38.744965 2020-12-03
* REASONING H7,G8: 1..
* PRF # H7: 1 # B4: 1,5 => SOL
* STA # H7: 1 + B4: 1,5
* CNT   1 HDP CHAINS /   4 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

14590;kz1a;GP;23;11.30;11.20;6.60

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # G2: 1,9 => UNS
* INC # G2: 2,3,4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # G2: 1,9 => UNS
* INC # G2: 2,3,4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # G2: 1,9 => UNS
* INC # G2: 2,3,4 => UNS
* INC # G2: 1,9 # H2: 1,9 => UNS
* INC # G2: 1,9 # H2: 2,4,5,8 => UNS
* INC # G2: 1,9 # G1: 2,4 => UNS
* INC # G2: 1,9 # G1: 3,6 => UNS
* INC # G2: 1,9 # G1: 4,6 => UNS
* INC # G2: 1,9 # G1: 2,3 => UNS
* INC # G2: 1,9 # I7: 3,4 => UNS
* INC # G2: 1,9 # I7: 7,8 => UNS
* INC # G2: 1,9 # G1: 3,4 => UNS
* INC # G2: 1,9 # G1: 2,6 => UNS
* INC # G2: 1,9 => UNS
* INC # G2: 2,3,4 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H7,G8: 1..:

* INC # H7: 1 # E5: 1,5 => UNS
* INC # H7: 1 # F5: 1,5 => UNS
* PRF # H7: 1 # B4: 1,5 => SOL
* STA # H7: 1 + B4: 1,5
* CNT   3 HDP CHAINS /   4 HYP OPENED