Analysis of zz-www.sudokuwiki.org-0312-base.sdk

Contents

Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=312

level: deep

Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=312

position: 98.76....7.....9...54......6..3..2...4.....5.8.5..1......69...3....3.7.......8.1. initial

Autosolve

position: 98.76....7.....9...54......6..3..2...4...6.5.8.5..1......69...3...13.7.......8.1. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for F4,F7: 7..:

* PRF # F4: 7 # D2: 2,8 => SOL
* STA # F4: 7 + D2: 2,8
* CNT   1 HDP CHAINS /   6 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.....9...54......6..3..2...4.....5.8.5..1......69...3....3.7.......8.1. initial
98.76....7.....9...54......6..3..2...4...6.5.8.5..1......69...3...13.7.......8.1. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
E2,E3: 1.. / E2 = 1  =>  1 pairs (_) / E3 = 1  =>  1 pairs (_)
E4,F4: 5.. / E4 = 5  =>  1 pairs (_) / F4 = 5  =>  4 pairs (_)
D2,D9: 5.. / D2 = 5  =>  1 pairs (_) / D9 = 5  =>  2 pairs (_)
B2,C2: 6.. / B2 = 6  =>  1 pairs (_) / C2 = 6  =>  0 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  0 pairs (_)
F7,E9: 7.. / F7 = 7  =>  1 pairs (_) / E9 = 7  => 19 pairs (_)
F4,F7: 7.. / F4 = 7  => 19 pairs (_) / F7 = 7  =>  1 pairs (_)
C7,C8: 8.. / C7 = 8  =>  2 pairs (_) / C8 = 8  =>  0 pairs (_)
D3,F3: 9.. / D3 = 9  => 14 pairs (_) / F3 = 9  =>  1 pairs (_)
F3,F4: 9.. / F3 = 9  =>  1 pairs (_) / F4 = 9  => 14 pairs (_)
* DURATION: 0:00:06.795344  START: 17:39:57.006647  END: 17:40:03.801991 2019-04-28
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F4,F7: 7.. / F4 = 7 ==>  0 pairs (*) / F7 = 7  =>  0 pairs (X)
* DURATION: 0:00:11.527166  START: 17:40:03.802742  END: 17:40:15.329908 2019-04-28
* REASONING F4,F7: 7..
* PRF # F4: 7 # D2: 2,8 => SOL
* STA # F4: 7 + D2: 2,8
* CNT   1 HDP CHAINS /   6 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=312

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F4,F7: 7..:

* INC # F4: 7 # B2: 1,2 => UNS
* INC # F4: 7 # C2: 1,2 => UNS
* INC # F4: 7 # I1: 1,2 => UNS
* INC # F4: 7 # I1: 4,5 => UNS
* PRF # F4: 7 # D2: 2,8 => SOL
* STA # F4: 7 + D2: 2,8
* CNT   5 HDP CHAINS /   6 HYP OPENED