Analysis of xx-ph-02236638-2018_12_25-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..75.....9...6......5...8...9..89...5.....4.3..2.......1..96...7...58..96. initial

Autosolve

position: 98.7..6..75..6..9...6......5...86..9..89...5..9..4.3..26......18.96...7...58..96. 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: 0:00:12.341694

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: 0:00:00.000021

List of important HDP chains detected for A6,I6: 6..:

* PRF # I6: 6 # B3: 3,4 => SOL
* STA # I6: 6 + B3: 3,4
* 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..6..75.....9...6......5...8...9..89...5.....4.3..2.......1..96...7...58..96. initial
98.7..6..75..6..9...6......5...86..9..89...5..9..4.3..26......18.96...7...58..96. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
A6: 1,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D6,F6: 5.. / D6 = 5  =>  2 pairs (_) / F6 = 5  =>  2 pairs (_)
A5,A6: 6.. / A5 = 6  =>  5 pairs (_) / A6 = 6  =>  0 pairs (_)
I5,I6: 6.. / I5 = 6  =>  0 pairs (_) / I6 = 6  =>  5 pairs (_)
A5,I5: 6.. / A5 = 6  =>  5 pairs (_) / I5 = 6  =>  0 pairs (_)
A6,I6: 6.. / A6 = 6  =>  0 pairs (_) / I6 = 6  =>  5 pairs (_)
G3,I3: 7.. / G3 = 7  =>  5 pairs (_) / I3 = 7  =>  1 pairs (_)
C7,B9: 7.. / C7 = 7  =>  2 pairs (_) / B9 = 7  =>  4 pairs (_)
F2,F3: 8.. / F2 = 8  =>  3 pairs (_) / F3 = 8  =>  1 pairs (_)
H6,I6: 8.. / H6 = 8  =>  2 pairs (_) / I6 = 8  =>  1 pairs (_)
G7,H7: 8.. / G7 = 8  =>  2 pairs (_) / H7 = 8  =>  3 pairs (_)
E3,F3: 9.. / E3 = 9  =>  1 pairs (_) / F3 = 9  =>  3 pairs (_)
E7,F7: 9.. / E7 = 9  =>  3 pairs (_) / F7 = 9  =>  1 pairs (_)
E3,E7: 9.. / E3 = 9  =>  1 pairs (_) / E7 = 9  =>  3 pairs (_)
F3,F7: 9.. / F3 = 9  =>  3 pairs (_) / F7 = 9  =>  1 pairs (_)
* DURATION: 0:00:10.179812  START: 13:18:05.059487  END: 13:18:15.239299 2020-11-05
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G3,I3: 7.. / G3 = 7 ==>  5 pairs (_) / I3 = 7 ==>  1 pairs (_)
A6,I6: 6.. / A6 = 6  =>  0 pairs (X) / I6 = 6 ==>  0 pairs (*)
* DURATION: 0:00:24.141542  START: 13:18:29.619512  END: 13:18:53.761054 2020-11-05
* REASONING A6,I6: 6..
* PRF # I6: 6 # B3: 3,4 => SOL
* STA # I6: 6 + B3: 3,4
* CNT   1 HDP CHAINS /   4 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

2236638;2018_12_25;PAQ;25;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # A5: 1,6 => UNS
* INC # A5: 3,4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # A5: 1,6 => UNS
* INC # A5: 3,4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # A5: 1,6 => UNS
* INC # A5: 3,4 => UNS
* INC # A5: 1,6 # C1: 3,4 => UNS
* INC # A5: 1,6 # C2: 3,4 => UNS
* INC # A5: 1,6 # B3: 3,4 => UNS
* INC # A5: 1,6 # D3: 3,4 => UNS
* INC # A5: 1,6 # F3: 3,4 => UNS
* INC # A5: 1,6 # H3: 3,4 => UNS
* INC # A5: 1,6 # I3: 3,4 => UNS
* INC # A5: 1,6 # B4: 2,7 => UNS
* INC # A5: 1,6 # C4: 2,7 => UNS
* INC # A5: 1,6 # B5: 2,7 => UNS
* INC # A5: 1,6 # F6: 2,7 => UNS
* INC # A5: 1,6 # I6: 2,7 => UNS
* INC # A5: 1,6 # C7: 3,4 => UNS
* INC # A5: 1,6 # B8: 3,4 => UNS
* INC # A5: 1,6 # B9: 3,4 => UNS
* INC # A5: 1,6 # F9: 3,4 => UNS
* INC # A5: 1,6 # I9: 3,4 => UNS
* INC # A5: 1,6 => UNS
* INC # A5: 3,4 # B4: 3,4 => UNS
* INC # A5: 3,4 # C4: 3,4 => UNS
* INC # A5: 3,4 # B5: 3,4 => UNS
* INC # A5: 3,4 # A3: 3,4 => UNS
* INC # A5: 3,4 # A9: 3,4 => UNS
* INC # A5: 3,4 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G3,I3: 7..:

* INC # G3: 7 # A5: 1,6 => UNS
* INC # G3: 7 # A5: 3,4 => UNS
* INC # G3: 7 # B4: 1,2 => UNS
* INC # G3: 7 # C4: 1,2 => UNS
* INC # G3: 7 # B5: 1,2 => UNS
* INC # G3: 7 # D6: 1,2 => UNS
* INC # G3: 7 # F6: 1,2 => UNS
* INC # G3: 7 # C1: 1,2 => UNS
* INC # G3: 7 # C2: 1,2 => UNS
* INC # G3: 7 # I8: 3,4 => UNS
* INC # G3: 7 # I9: 3,4 => UNS
* INC # G3: 7 # C7: 3,4 => UNS
* INC # G3: 7 # D7: 3,4 => UNS
* INC # G3: 7 # F7: 3,4 => UNS
* INC # G3: 7 # H1: 3,4 => UNS
* INC # G3: 7 # H3: 3,4 => UNS
* INC # G3: 7 => UNS
* INC # I3: 7 # A5: 1,6 => UNS
* INC # I3: 7 # A5: 3,4 => UNS
* INC # I3: 7 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for A6,I6: 6..:

* INC # I6: 6 # C1: 3,4 => UNS
* INC # I6: 6 # C2: 3,4 => UNS
* PRF # I6: 6 # B3: 3,4 => SOL
* STA # I6: 6 + B3: 3,4
* CNT   3 HDP CHAINS /   4 HYP OPENED