Analysis of xx-ph-02317743-2019_03_16-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7.5.4..8...3....5.2....85....8.3..4......7..1.5.8.4.7...73....8......... initial

Autosolve

position: 98.7..6..7.5.4..8...3.8..5.2....85....8.3..4......78.1.5.8.4.7...73....88...7...5 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 # A5: 1,6 => CTR => A5: 5
* DIS # C1: 4 + A5: 5 # E6: 6,9 => CTR => E6: 2
* PRF # C1: 4 + A5: 5 + E6: 2 # C7: 6,9 => SOL
* STA # C1: 4 + A5: 5 + E6: 2 + C7: 6,9
* CNT   3 HDP CHAINS /  30 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..8...3....5.2....85....8.3..4......7..1.5.8.4.7...73....8......... initial
98.7..6..7.5.4..8...3.8..5.2....85....8.3..4......78.1.5.8.4.7...73....88...7...5 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 (_)
A7,B9: 3.. / A7 = 3  =>  0 pairs (_) / B9 = 3  =>  1 pairs (_)
A6,A7: 3.. / A6 = 3  =>  1 pairs (_) / A7 = 3  =>  0 pairs (_)
I1,I3: 4.. / I1 = 4  =>  1 pairs (_) / I3 = 4  =>  4 pairs (_)
D4,D6: 4.. / D4 = 4  =>  0 pairs (_) / D6 = 4  =>  2 pairs (_)
G8,G9: 4.. / G8 = 4  =>  1 pairs (_) / G9 = 4  =>  0 pairs (_)
C1,I1: 4.. / C1 = 4  =>  4 pairs (_) / I1 = 4  =>  1 pairs (_)
E1,F1: 5.. / E1 = 5  =>  0 pairs (_) / F1 = 5  =>  2 pairs (_)
A5,A6: 5.. / A5 = 5  =>  0 pairs (_) / A6 = 5  =>  1 pairs (_)
D5,D6: 5.. / D5 = 5  =>  1 pairs (_) / D6 = 5  =>  0 pairs (_)
E8,F8: 5.. / E8 = 5  =>  2 pairs (_) / F8 = 5  =>  0 pairs (_)
A5,D5: 5.. / A5 = 5  =>  0 pairs (_) / D5 = 5  =>  1 pairs (_)
A6,D6: 5.. / A6 = 5  =>  1 pairs (_) / D6 = 5  =>  0 pairs (_)
E1,E8: 5.. / E1 = 5  =>  0 pairs (_) / E8 = 5  =>  2 pairs (_)
F1,F8: 5.. / F1 = 5  =>  2 pairs (_) / F8 = 5  =>  0 pairs (_)
G3,I3: 7.. / G3 = 7  =>  1 pairs (_) / I3 = 7  =>  1 pairs (_)
B4,B5: 7.. / B4 = 7  =>  0 pairs (_) / B5 = 7  =>  2 pairs (_)
B4,I4: 7.. / B4 = 7  =>  0 pairs (_) / I4 = 7  =>  2 pairs (_)
G3,G5: 7.. / G3 = 7  =>  1 pairs (_) / G5 = 7  =>  1 pairs (_)
* DURATION: 0:00:16.665770  START: 23:14:11.689678  END: 23:14:28.355448 2020-10-11
* CP COUNT: (19)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C1,I1: 4.. / C1 = 4 ==>  0 pairs (*) / I1 = 4  =>  0 pairs (X)
* DURATION: 0:00:35.645324  START: 23:14:28.356140  END: 23:15:04.001464 2020-10-11
* REASONING C1,I1: 4..
* DIS # C1: 4 # A5: 1,6 => CTR => A5: 5
* DIS # C1: 4 + A5: 5 # E6: 6,9 => CTR => E6: 2
* PRF # C1: 4 + A5: 5 + E6: 2 # C7: 6,9 => SOL
* STA # C1: 4 + A5: 5 + E6: 2 + C7: 6,9
* CNT   3 HDP CHAINS /  30 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

2317743;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
* DIS # C1: 4 # A5: 1,6 => CTR => A5: 5
* INC # C1: 4 + A5: 5 # A7: 1,6 => UNS
* INC # C1: 4 + A5: 5 # A8: 1,6 => UNS
* INC # C1: 4 + A5: 5 # B2: 1,6 => UNS
* INC # C1: 4 + A5: 5 # B3: 1,6 => UNS
* INC # C1: 4 + A5: 5 # D3: 1,6 => UNS
* INC # C1: 4 + A5: 5 # F3: 1,6 => UNS
* INC # C1: 4 + A5: 5 # A7: 1,6 => UNS
* INC # C1: 4 + A5: 5 # A8: 1,6 => UNS
* INC # C1: 4 + A5: 5 # H1: 2,3 => UNS
* INC # C1: 4 + A5: 5 # G2: 2,3 => UNS
* INC # C1: 4 + A5: 5 # I2: 2,3 => UNS
* INC # C1: 4 + A5: 5 # F1: 2,3 => UNS
* INC # C1: 4 + A5: 5 # F1: 1,5 => UNS
* INC # C1: 4 + A5: 5 # I7: 2,3 => UNS
* INC # C1: 4 + A5: 5 # I7: 6,9 => UNS
* INC # C1: 4 + A5: 5 # B4: 6,9 => UNS
* INC # C1: 4 + A5: 5 # C4: 6,9 => UNS
* INC # C1: 4 + A5: 5 # B5: 6,9 => UNS
* INC # C1: 4 + A5: 5 # B6: 6,9 => UNS
* DIS # C1: 4 + A5: 5 # E6: 6,9 => CTR => E6: 2
* INC # C1: 4 + A5: 5 + E6: 2 # H6: 6,9 => UNS
* INC # C1: 4 + A5: 5 + E6: 2 # H6: 6,9 => UNS
* INC # C1: 4 + A5: 5 + E6: 2 # H6: 3 => UNS
* PRF # C1: 4 + A5: 5 + E6: 2 # C7: 6,9 => SOL
* STA # C1: 4 + A5: 5 + E6: 2 + C7: 6,9
* CNT  29 HDP CHAINS /  30 HYP OPENED