Analysis of xx-ph-02319331-2019_03_16-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7......9...6.5......96...7.....9.4.......35....89..25...75...6.....2...1 initial

Autosolve

position: 98.7..6..7......9...6.59.....96...7.....9.4.6.....35.9..89..25...75...6.....2...1 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for C1,I1: 5..:

* DIS # C1: 5 # H9: 3,4 => CTR => H9: 8
* DIS # C1: 5 + H9: 8 # H1: 2,3 => CTR => H1: 1,4
* DIS # C1: 5 + H9: 8 + H1: 1,4 # H3: 2,3 => CTR => H3: 1,4
* PRF # C1: 5 + H9: 8 + H1: 1,4 + H3: 1,4 # I3: 2,3 => SOL
* STA # C1: 5 + H9: 8 + H1: 1,4 + H3: 1,4 + I3: 2,3
* CNT   4 HDP CHAINS /  22 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..7......9...6.5......96...7.....9.4.......35....89..25...75...6.....2...1 initial
98.7..6..7......9...6.59.....96...7.....9.4.6.....35.9..89..25...75...6.....2...1 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
A8,B8: 2.. / A8 = 2  =>  0 pairs (_) / B8 = 2  =>  0 pairs (_)
I1,I2: 5.. / I1 = 5  =>  0 pairs (_) / I2 = 5  =>  4 pairs (_)
F4,F5: 5.. / F4 = 5  =>  0 pairs (_) / F5 = 5  =>  0 pairs (_)
C1,I1: 5.. / C1 = 5  =>  4 pairs (_) / I1 = 5  =>  0 pairs (_)
E2,F2: 6.. / E2 = 6  =>  0 pairs (_) / F2 = 6  =>  0 pairs (_)
A6,B6: 6.. / A6 = 6  =>  3 pairs (_) / B6 = 6  =>  0 pairs (_)
E2,E7: 6.. / E2 = 6  =>  0 pairs (_) / E7 = 6  =>  0 pairs (_)
G3,I3: 7.. / G3 = 7  =>  0 pairs (_) / I3 = 7  =>  1 pairs (_)
B5,B6: 7.. / B5 = 7  =>  0 pairs (_) / B6 = 7  =>  2 pairs (_)
F5,E6: 7.. / F5 = 7  =>  2 pairs (_) / E6 = 7  =>  0 pairs (_)
I7,G9: 7.. / I7 = 7  =>  0 pairs (_) / G9 = 7  =>  1 pairs (_)
B5,F5: 7.. / B5 = 7  =>  0 pairs (_) / F5 = 7  =>  2 pairs (_)
B6,E6: 7.. / B6 = 7  =>  2 pairs (_) / E6 = 7  =>  0 pairs (_)
F9,G9: 7.. / F9 = 7  =>  0 pairs (_) / G9 = 7  =>  1 pairs (_)
E6,E7: 7.. / E6 = 7  =>  0 pairs (_) / E7 = 7  =>  2 pairs (_)
G3,G9: 7.. / G3 = 7  =>  0 pairs (_) / G9 = 7  =>  1 pairs (_)
I3,I7: 7.. / I3 = 7  =>  1 pairs (_) / I7 = 7  =>  0 pairs (_)
B8,B9: 9.. / B8 = 9  =>  2 pairs (_) / B9 = 9  =>  0 pairs (_)
G8,G9: 9.. / G8 = 9  =>  0 pairs (_) / G9 = 9  =>  2 pairs (_)
B8,G8: 9.. / B8 = 9  =>  2 pairs (_) / G8 = 9  =>  0 pairs (_)
B9,G9: 9.. / B9 = 9  =>  0 pairs (_) / G9 = 9  =>  2 pairs (_)
* DURATION: 0:00:14.756314  START: 16:35:24.303008  END: 16:35:39.059322 2020-10-12
* CP COUNT: (21)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C1,I1: 5.. / C1 = 5 ==>  0 pairs (*) / I1 = 5  =>  0 pairs (X)
* DURATION: 0:00:27.252453  START: 16:35:39.059987  END: 16:36:06.312440 2020-10-12
* REASONING C1,I1: 5..
* DIS # C1: 5 # H9: 3,4 => CTR => H9: 8
* DIS # C1: 5 + H9: 8 # H1: 2,3 => CTR => H1: 1,4
* DIS # C1: 5 + H9: 8 + H1: 1,4 # H3: 2,3 => CTR => H3: 1,4
* PRF # C1: 5 + H9: 8 + H1: 1,4 + H3: 1,4 # I3: 2,3 => SOL
* STA # C1: 5 + H9: 8 + H1: 1,4 + H3: 1,4 + I3: 2,3
* CNT   4 HDP CHAINS /  22 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

2319331;2019_03_16;PAQ;24;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C1,I1: 5..:

* INC # C1: 5 # B9: 5,6 => UNS
* INC # C1: 5 # B9: 9 => UNS
* INC # C1: 5 # A7: 3,4 => UNS
* INC # C1: 5 # B7: 3,4 => UNS
* INC # C1: 5 # A8: 3,4 => UNS
* INC # C1: 5 # B8: 3,4 => UNS
* INC # C1: 5 # D9: 3,4 => UNS
* DIS # C1: 5 # H9: 3,4 => CTR => H9: 8
* INC # C1: 5 + H9: 8 # C2: 3,4 => UNS
* INC # C1: 5 + H9: 8 # C2: 1,2 => UNS
* INC # C1: 5 + H9: 8 # A7: 3,4 => UNS
* INC # C1: 5 + H9: 8 # B7: 3,4 => UNS
* INC # C1: 5 + H9: 8 # A8: 3,4 => UNS
* INC # C1: 5 + H9: 8 # B8: 3,4 => UNS
* INC # C1: 5 + H9: 8 # C2: 3,4 => UNS
* INC # C1: 5 + H9: 8 # C2: 1,2 => UNS
* INC # C1: 5 + H9: 8 # E7: 6,7 => UNS
* INC # C1: 5 + H9: 8 # F7: 6,7 => UNS
* DIS # C1: 5 + H9: 8 # H1: 2,3 => CTR => H1: 1,4
* DIS # C1: 5 + H9: 8 + H1: 1,4 # H3: 2,3 => CTR => H3: 1,4
* PRF # C1: 5 + H9: 8 + H1: 1,4 + H3: 1,4 # I3: 2,3 => SOL
* STA # C1: 5 + H9: 8 + H1: 1,4 + H3: 1,4 + I3: 2,3
* CNT  21 HDP CHAINS /  22 HYP OPENED