Analysis of xx-ph-00029943-2011_12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....7....58....4.8....6...5.3....9..3.2....6....13..5..7...9......4..2....1. initial

Autosolve

position: 98.76....7....58....4.8....6...5.3....9..3.2....6....13..5..7...9......4..2....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 I7,G8: 2..:

* DIS # I7: 2 # F1: 4 => CTR => F1: 1,2
* DIS # I7: 2 + F1: 1,2 # D3: 1,2 => CTR => D3: 3,9
* DIS # I7: 2 + F1: 1,2 + D3: 3,9 # F3: 1,2 => CTR => F3: 9
* DIS # I7: 2 + F1: 1,2 + D3: 3,9 + F3: 9 # H8: 5,6 => CTR => H8: 3,8
* PRF # I7: 2 + F1: 1,2 + D3: 3,9 + F3: 9 + H8: 3,8 # G9: 5,6 => SOL
* STA # I7: 2 + F1: 1,2 + D3: 3,9 + F3: 9 + H8: 3,8 + G9: 5,6
* CNT   5 HDP CHAINS /  15 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

98.76....7....58....4.8....6...5.3....9..3.2....6....13..5..7...9......4..2....1. initial
98.76....7....58....4.8....6...5.3....9..3.2....6....13..5..7...9......4..2....1. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
G1,G3: 1.. / G1 = 1  =>  2 pairs (_) / G3 = 1  =>  2 pairs (_)
I7,G8: 2.. / I7 = 2  =>  4 pairs (_) / G8 = 2  =>  0 pairs (_)
A3,A6: 2.. / A3 = 2  =>  1 pairs (_) / A6 = 2  =>  1 pairs (_)
B6,C6: 3.. / B6 = 3  =>  0 pairs (_) / C6 = 3  =>  2 pairs (_)
H8,I9: 3.. / H8 = 3  =>  1 pairs (_) / I9 = 3  =>  1 pairs (_)
G5,I5: 6.. / G5 = 6  =>  2 pairs (_) / I5 = 6  =>  1 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  1 pairs (_)
C8,B9: 7.. / C8 = 7  =>  1 pairs (_) / B9 = 7  =>  0 pairs (_)
* DURATION: 0:00:04.749392  START: 11:24:27.342408  END: 11:24:32.091800 2020-12-11
* CP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I7,G8: 2.. / I7 = 2 ==>  0 pairs (*) / G8 = 2  =>  0 pairs (X)
* DURATION: 0:00:13.943089  START: 11:24:32.092303  END: 11:24:46.035392 2020-12-11
* REASONING I7,G8: 2..
* DIS # I7: 2 # F1: 4 => CTR => F1: 1,2
* DIS # I7: 2 + F1: 1,2 # D3: 1,2 => CTR => D3: 3,9
* DIS # I7: 2 + F1: 1,2 + D3: 3,9 # F3: 1,2 => CTR => F3: 9
* DIS # I7: 2 + F1: 1,2 + D3: 3,9 + F3: 9 # H8: 5,6 => CTR => H8: 3,8
* PRF # I7: 2 + F1: 1,2 + D3: 3,9 + F3: 9 + H8: 3,8 # G9: 5,6 => SOL
* STA # I7: 2 + F1: 1,2 + D3: 3,9 + F3: 9 + H8: 3,8 + G9: 5,6
* CNT   5 HDP CHAINS /  15 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

29943;2011_12;GP;24;11.30;11.30;10.70

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I7,G8: 2..:

* INC # I7: 2 # F1: 1,2 => UNS
* DIS # I7: 2 # F1: 4 => CTR => F1: 1,2
* INC # I7: 2 + F1: 1,2 # H3: 3,5 => UNS
* INC # I7: 2 + F1: 1,2 # I3: 3,5 => UNS
* INC # I7: 2 + F1: 1,2 # I9: 3,5 => UNS
* INC # I7: 2 + F1: 1,2 # I9: 6,8,9 => UNS
* INC # I7: 2 + F1: 1,2 # A3: 1,2 => UNS
* INC # I7: 2 + F1: 1,2 # B3: 1,2 => UNS
* DIS # I7: 2 + F1: 1,2 # D3: 1,2 => CTR => D3: 3,9
* DIS # I7: 2 + F1: 1,2 + D3: 3,9 # F3: 1,2 => CTR => F3: 9
* INC # I7: 2 + F1: 1,2 + D3: 3,9 + F3: 9 # A3: 1,2 => UNS
* INC # I7: 2 + F1: 1,2 + D3: 3,9 + F3: 9 # B3: 1,2 => UNS
* DIS # I7: 2 + F1: 1,2 + D3: 3,9 + F3: 9 # H8: 5,6 => CTR => H8: 3,8
* PRF # I7: 2 + F1: 1,2 + D3: 3,9 + F3: 9 + H8: 3,8 # G9: 5,6 => SOL
* STA # I7: 2 + F1: 1,2 + D3: 3,9 + F3: 9 + H8: 3,8 + G9: 5,6
* CNT  14 HDP CHAINS /  15 HYP OPENED