Analysis of xx-ph-02236998-2019_01_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..75..8......4..5.878....7.94.4..3...8......2...9...8.45...51............. initial

Autosolve

position: 98.7..65.75..8.4....4..5.878....7.94.4..3...8...8..2...9...8.454..51.......4..... 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: 0:00:12.588221

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000016

List of important HDP chains detected for F1,F6: 4..:

* PRF # F1: 4 # C2: 1,3 => SOL
* STA # F1: 4 + C2: 1,3
* CNT   1 HDP CHAINS /   2 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..75..8......4..5.878....7.94.4..3...8......2...9...8.45...51............. initial
98.7..65.75..8.4....4..5.878....7.94.4..3...8...8..2...9...8.454..51.......4..... autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
E1: 2,4

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E1,F1: 4.. / E1 = 4  =>  0 pairs (_) / F1 = 4  =>  5 pairs (_)
E6,F6: 4.. / E6 = 4  =>  5 pairs (_) / F6 = 4  =>  0 pairs (_)
E1,E6: 4.. / E1 = 4  =>  0 pairs (_) / E6 = 4  =>  5 pairs (_)
F1,F6: 4.. / F1 = 4  =>  5 pairs (_) / F6 = 4  =>  0 pairs (_)
E4,E6: 5.. / E4 = 5  =>  2 pairs (_) / E6 = 5  =>  1 pairs (_)
G4,G5: 5.. / G4 = 5  =>  3 pairs (_) / G5 = 5  =>  2 pairs (_)
A9,C9: 5.. / A9 = 5  =>  3 pairs (_) / C9 = 5  =>  1 pairs (_)
E7,E9: 7.. / E7 = 7  =>  2 pairs (_) / E9 = 7  =>  2 pairs (_)
C8,C9: 8.. / C8 = 8  =>  1 pairs (_) / C9 = 8  =>  3 pairs (_)
G8,G9: 8.. / G8 = 8  =>  3 pairs (_) / G9 = 8  =>  1 pairs (_)
C8,G8: 8.. / C8 = 8  =>  1 pairs (_) / G8 = 8  =>  3 pairs (_)
C9,G9: 8.. / C9 = 8  =>  3 pairs (_) / G9 = 8  =>  1 pairs (_)
I2,G3: 9.. / I2 = 9  =>  4 pairs (_) / G3 = 9  =>  2 pairs (_)
C5,C6: 9.. / C5 = 9  =>  5 pairs (_) / C6 = 9  =>  1 pairs (_)
* DURATION: 0:00:10.130352  START: 11:06:26.453521  END: 11:06:36.583873 2020-11-06
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C5,C6: 9.. / C5 = 9 ==>  5 pairs (_) / C6 = 9 ==>  1 pairs (_)
F1,F6: 4.. / F1 = 4 ==>  0 pairs (*) / F6 = 4  =>  0 pairs (X)
* DURATION: 0:00:23.102551  START: 11:06:51.229996  END: 11:07:14.332547 2020-11-06
* REASONING F1,F6: 4..
* PRF # F1: 4 # C2: 1,3 => SOL
* STA # F1: 4 + C2: 1,3
* CNT   1 HDP CHAINS /   2 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

2236998;2019_01_07;PAQ;25;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # F1: 2,4 => UNS
* INC # F1: 1,3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # F1: 2,4 => UNS
* INC # F1: 1,3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # F1: 2,4 => UNS
* INC # F1: 1,3 => UNS
* INC # F1: 2,4 # C2: 1,3 => UNS
* INC # F1: 2,4 # A3: 1,3 => UNS
* INC # F1: 2,4 # B3: 1,3 => UNS
* INC # F1: 2,4 # C4: 1,3 => UNS
* INC # F1: 2,4 # C6: 1,3 => UNS
* INC # F1: 2,4 # C7: 1,3 => UNS
* INC # F1: 2,4 # C9: 1,3 => UNS
* INC # F1: 2,4 # D2: 6,9 => UNS
* INC # F1: 2,4 # F2: 6,9 => UNS
* INC # F1: 2,4 # D3: 6,9 => UNS
* INC # F1: 2,4 # E6: 6,9 => UNS
* INC # F1: 2,4 # E9: 6,9 => UNS
* INC # F1: 2,4 # H2: 1,3 => UNS
* INC # F1: 2,4 # I2: 1,3 => UNS
* INC # F1: 2,4 # G3: 1,3 => UNS
* INC # F1: 2,4 # I6: 1,3 => UNS
* INC # F1: 2,4 # I9: 1,3 => UNS
* INC # F1: 2,4 => UNS
* INC # F1: 1,3 # D2: 1,3 => UNS
* INC # F1: 1,3 # F2: 1,3 => UNS
* INC # F1: 1,3 # D3: 1,3 => UNS
* INC # F1: 1,3 # C1: 1,3 => UNS
* INC # F1: 1,3 # I1: 1,3 => UNS
* INC # F1: 1,3 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C5,C6: 9..:

* INC # C5: 9 # F1: 2,4 => UNS
* INC # C5: 9 # F1: 1,3 => UNS
* INC # C5: 9 # D2: 2,6 => UNS
* INC # C5: 9 # F2: 2,6 => UNS
* INC # C5: 9 # D3: 2,6 => UNS
* INC # C5: 9 # A3: 2,6 => UNS
* INC # C5: 9 # B3: 2,6 => UNS
* INC # C5: 9 # E7: 2,6 => UNS
* INC # C5: 9 # E9: 2,6 => UNS
* INC # C5: 9 # H6: 1,3 => UNS
* INC # C5: 9 # I6: 1,3 => UNS
* INC # C5: 9 # B4: 1,3 => UNS
* INC # C5: 9 # C4: 1,3 => UNS
* INC # C5: 9 # G3: 1,3 => UNS
* INC # C5: 9 # G7: 1,3 => UNS
* INC # C5: 9 # G9: 1,3 => UNS
* INC # C5: 9 => UNS
* INC # C6: 9 # F1: 2,4 => UNS
* INC # C6: 9 # F1: 1,3 => UNS
* INC # C6: 9 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for F1,F6: 4..:

* PRF # F1: 4 # C2: 1,3 => SOL
* STA # F1: 4 + C2: 1,3
* CNT   1 HDP CHAINS /   2 HYP OPENED