Analysis of xx-ph-02319630-2019_03_16-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7.5.4......3....5.8.........5.8.4.7...73....82....85......3..4......78.1 initial

Autosolve

position: 98.7..6..7.5.4..8...3.8..5.8...7...5.5.8.4.7...73....82....85....8.3..4......78.1 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 C1,I1: 4..:

* DIS # C1: 4 # A8: 1,6 => CTR => A8: 5
* DIS # C1: 4 + A8: 5 # E9: 6,9 => CTR => E9: 2
* PRF # C1: 4 + A8: 5 + E9: 2 # C5: 6,9 => SOL
* STA # C1: 4 + A8: 5 + E9: 2 + C5: 6,9
* CNT   3 HDP CHAINS /  31 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..7.5.4......3....5.8.........5.8.4.7...73....82....85......3..4......78.1 initial
98.7..6..7.5.4..8...3.8..5.8...7...5.5.8.4.7...73....82....85....8.3..4......78.1 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
F1,F2: 3.. / F1 = 3  =>  2 pairs (_) / F2 = 3  =>  1 pairs (_)
B4,A5: 3.. / B4 = 3  =>  1 pairs (_) / A5 = 3  =>  0 pairs (_)
A5,A9: 3.. / A5 = 3  =>  0 pairs (_) / A9 = 3  =>  1 pairs (_)
I1,I3: 4.. / I1 = 4  =>  1 pairs (_) / I3 = 4  =>  4 pairs (_)
G4,G6: 4.. / G4 = 4  =>  0 pairs (_) / G6 = 4  =>  1 pairs (_)
D7,D9: 4.. / D7 = 4  =>  0 pairs (_) / D9 = 4  =>  2 pairs (_)
C1,I1: 4.. / C1 = 4  =>  4 pairs (_) / I1 = 4  =>  1 pairs (_)
E1,F1: 5.. / E1 = 5  =>  0 pairs (_) / F1 = 5  =>  2 pairs (_)
E6,F6: 5.. / E6 = 5  =>  2 pairs (_) / F6 = 5  =>  0 pairs (_)
A8,A9: 5.. / A8 = 5  =>  0 pairs (_) / A9 = 5  =>  1 pairs (_)
D8,D9: 5.. / D8 = 5  =>  1 pairs (_) / D9 = 5  =>  0 pairs (_)
A8,D8: 5.. / A8 = 5  =>  0 pairs (_) / D8 = 5  =>  1 pairs (_)
A9,D9: 5.. / A9 = 5  =>  1 pairs (_) / D9 = 5  =>  0 pairs (_)
E1,E6: 5.. / E1 = 5  =>  0 pairs (_) / E6 = 5  =>  2 pairs (_)
F1,F6: 5.. / F1 = 5  =>  2 pairs (_) / F6 = 5  =>  0 pairs (_)
G3,I3: 7.. / G3 = 7  =>  1 pairs (_) / I3 = 7  =>  1 pairs (_)
B7,B8: 7.. / B7 = 7  =>  0 pairs (_) / B8 = 7  =>  2 pairs (_)
B7,I7: 7.. / B7 = 7  =>  0 pairs (_) / I7 = 7  =>  2 pairs (_)
G3,G8: 7.. / G3 = 7  =>  1 pairs (_) / G8 = 7  =>  1 pairs (_)
* DURATION: 0:00:13.962011  START: 19:57:39.464168  END: 19:57:53.426179 2020-10-12
* CP COUNT: (19)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C1,I1: 4.. / C1 = 4 ==>  0 pairs (*) / I1 = 4  =>  0 pairs (X)
* DURATION: 0:00:31.167138  START: 19:57:53.426785  END: 19:58:24.593923 2020-10-12
* REASONING C1,I1: 4..
* DIS # C1: 4 # A8: 1,6 => CTR => A8: 5
* DIS # C1: 4 + A8: 5 # E9: 6,9 => CTR => E9: 2
* PRF # C1: 4 + A8: 5 + E9: 2 # C5: 6,9 => SOL
* STA # C1: 4 + A8: 5 + E9: 2 + C5: 6,9
* CNT   3 HDP CHAINS /  31 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

2319630;2019_03_16;PAQ;25;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C1,I1: 4..:

* INC # C1: 4 # B2: 1,6 => UNS
* INC # C1: 4 # B3: 1,6 => UNS
* INC # C1: 4 # D3: 1,6 => UNS
* INC # C1: 4 # F3: 1,6 => UNS
* INC # C1: 4 # A5: 1,6 => UNS
* INC # C1: 4 # A6: 1,6 => UNS
* DIS # C1: 4 # A8: 1,6 => CTR => A8: 5
* INC # C1: 4 + A8: 5 # B2: 1,6 => UNS
* INC # C1: 4 + A8: 5 # B3: 1,6 => UNS
* INC # C1: 4 + A8: 5 # D3: 1,6 => UNS
* INC # C1: 4 + A8: 5 # F3: 1,6 => UNS
* INC # C1: 4 + A8: 5 # A5: 1,6 => UNS
* INC # C1: 4 + A8: 5 # A6: 1,6 => UNS
* INC # C1: 4 + A8: 5 # H1: 2,3 => UNS
* INC # C1: 4 + A8: 5 # G2: 2,3 => UNS
* INC # C1: 4 + A8: 5 # I2: 2,3 => UNS
* INC # C1: 4 + A8: 5 # F1: 2,3 => UNS
* INC # C1: 4 + A8: 5 # F1: 1,5 => UNS
* INC # C1: 4 + A8: 5 # I5: 2,3 => UNS
* INC # C1: 4 + A8: 5 # I5: 6,9 => UNS
* INC # C1: 4 + A8: 5 # B7: 6,9 => UNS
* INC # C1: 4 + A8: 5 # C7: 6,9 => UNS
* INC # C1: 4 + A8: 5 # B8: 6,9 => UNS
* INC # C1: 4 + A8: 5 # B9: 6,9 => UNS
* DIS # C1: 4 + A8: 5 # E9: 6,9 => CTR => E9: 2
* INC # C1: 4 + A8: 5 + E9: 2 # H9: 6,9 => UNS
* INC # C1: 4 + A8: 5 + E9: 2 # H9: 6,9 => UNS
* INC # C1: 4 + A8: 5 + E9: 2 # H9: 3 => UNS
* INC # C1: 4 + A8: 5 + E9: 2 # C4: 6,9 => UNS
* PRF # C1: 4 + A8: 5 + E9: 2 # C5: 6,9 => SOL
* STA # C1: 4 + A8: 5 + E9: 2 + C5: 6,9
* CNT  30 HDP CHAINS /  31 HYP OPENED