Analysis of xx-ph-00046380-12_10-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..75.....9...6......4...8.5....85...6.....43..2.1...23....98...5.....1...6 initial

Autosolve

position: 98.7..6..75.....9...6......4...8.5....85...6.....43..2.1...23....98...5.....1...6 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000013

List of important HDP chains detected for A6,C6: 5..:

* DIS # C6: 5 # B8: 4,7 => CTR => B8: 2,3,6
* PRF # C6: 5 + B8: 2,3,6 # F9: 4,7 => SOL
* STA # C6: 5 + B8: 2,3,6 + F9: 4,7
* CNT   2 HDP CHAINS /   9 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......4...8.5....85...6.....43..2.1...23....98...5.....1...6 initial
98.7..6..75.....9...6......4...8.5....85...6.....43..2.1...23....98...5.....1...6 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G8,I8: 1.. / G8 = 1  =>  1 pairs (_) / I8 = 1  =>  0 pairs (_)
D4,E5: 2.. / D4 = 2  =>  1 pairs (_) / E5 = 2  =>  4 pairs (_)
E8,D9: 3.. / E8 = 3  =>  4 pairs (_) / D9 = 3  =>  1 pairs (_)
G5,I5: 4.. / G5 = 4  =>  0 pairs (_) / I5 = 4  =>  1 pairs (_)
I1,I3: 5.. / I1 = 5  =>  2 pairs (_) / I3 = 5  =>  0 pairs (_)
A6,C6: 5.. / A6 = 5  =>  2 pairs (_) / C6 = 5  =>  6 pairs (_)
E7,F9: 5.. / E7 = 5  =>  3 pairs (_) / F9 = 5  =>  1 pairs (_)
F2,F3: 8.. / F2 = 8  =>  0 pairs (_) / F3 = 8  =>  0 pairs (_)
G6,H6: 8.. / G6 = 8  =>  1 pairs (_) / H6 = 8  =>  3 pairs (_)
A7,A9: 8.. / A7 = 8  =>  3 pairs (_) / A9 = 8  =>  1 pairs (_)
I7,G9: 9.. / I7 = 9  =>  1 pairs (_) / G9 = 9  =>  1 pairs (_)
* DURATION: 0:00:07.117864  START: 17:35:46.281606  END: 17:35:53.399470 2020-12-19
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A6,C6: 5.. / A6 = 5  =>  0 pairs (X) / C6 = 5 ==>  0 pairs (*)
* DURATION: 0:00:14.470398  START: 17:35:53.400686  END: 17:36:07.871084 2020-12-19
* REASONING A6,C6: 5..
* DIS # C6: 5 # B8: 4,7 => CTR => B8: 2,3,6
* PRF # C6: 5 + B8: 2,3,6 # F9: 4,7 => SOL
* STA # C6: 5 + B8: 2,3,6 + F9: 4,7
* CNT   2 HDP CHAINS /   9 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

46380;12_10;GP;25;11.30;11.30;10.40

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A6,C6: 5..:

* INC # C6: 5 # D6: 1,6 => UNS
* INC # C6: 5 # D6: 9 => UNS
* DIS # C6: 5 # B8: 4,7 => CTR => B8: 2,3,6
* INC # C6: 5 + B8: 2,3,6 # B9: 4,7 => UNS
* INC # C6: 5 + B8: 2,3,6 # C9: 4,7 => UNS
* INC # C6: 5 + B8: 2,3,6 # H7: 4,7 => UNS
* INC # C6: 5 + B8: 2,3,6 # I7: 4,7 => UNS
* PRF # C6: 5 + B8: 2,3,6 # F9: 4,7 => SOL
* STA # C6: 5 + B8: 2,3,6 + F9: 4,7
* CNT   8 HDP CHAINS /   9 HYP OPENED