Analysis of xx-ph-00000090-45-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 1...5..8...7.....6.9.2.........13....7.9..4..8..5......4.6..9.......5.3...2...6.7 initial

Autosolve

position: 1...5..8...7.....6.9.2.........13....7.9..4..8..5......4.6..9.......5.3...2...6.7 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000014

List of important HDP chains detected for A7,A8: 7..:

* PRF # A8: 7 # C7: 3,5 => SOL
* STA # A8: 7 + C7: 3,5
* CNT   1 HDP CHAINS /   7 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

1...5..8...7.....6.9.2.........13....7.9..4..8..5......4.6..9.......5.3...2...6.7 initial
1...5..8...7.....6.9.2.........13....7.9..4..8..5......4.6..9.......5.3...2...6.7 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
I8,H9: 4.. / I8 = 4  =>  1 pairs (_) / H9 = 4  =>  1 pairs (_)
A7,A8: 7.. / A7 = 7  =>  1 pairs (_) / A8 = 7  =>  1 pairs (_)
B2,C3: 8.. / B2 = 8  =>  1 pairs (_) / C3 = 8  =>  0 pairs (_)
G4,G8: 8.. / G4 = 8  =>  2 pairs (_) / G8 = 8  =>  1 pairs (_)
I1,H2: 9.. / I1 = 9  =>  0 pairs (_) / H2 = 9  =>  0 pairs (_)
F1,I1: 9.. / F1 = 9  =>  0 pairs (_) / I1 = 9  =>  0 pairs (_)
* DURATION: 0:00:03.760329  START: 23:24:33.092427  END: 23:24:36.852756 2020-09-22
* CP COUNT: (6)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G4,G8: 8.. / G4 = 8 ==>  2 pairs (_) / G8 = 8 ==>  1 pairs (_)
A7,A8: 7.. / A7 = 7 ==>  1 pairs (_) / A8 = 7 ==>  0 pairs (*)
* DURATION: 0:00:13.768254  START: 23:24:36.853672  END: 23:24:50.621926 2020-09-22
* REASONING A7,A8: 7..
* PRF # A8: 7 # C7: 3,5 => SOL
* STA # A8: 7 + C7: 3,5
* CNT   1 HDP CHAINS /   7 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

90;45;elev;22;11.60;11.60;9.90

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G4,G8: 8..:

* INC # G4: 8 # E6: 4,7 => UNS
* INC # G4: 8 # F6: 4,7 => UNS
* INC # G4: 8 # D1: 4,7 => UNS
* INC # G4: 8 # D8: 4,7 => UNS
* INC # G4: 8 # H7: 1,2 => UNS
* INC # G4: 8 # I7: 1,2 => UNS
* INC # G4: 8 # I8: 1,2 => UNS
* INC # G4: 8 # G2: 1,2 => UNS
* INC # G4: 8 # G6: 1,2 => UNS
* INC # G4: 8 => UNS
* INC # G8: 8 # C8: 1,6 => UNS
* INC # G8: 8 # C8: 9 => UNS
* INC # G8: 8 # B6: 1,6 => UNS
* INC # G8: 8 # B6: 2,3 => UNS
* INC # G8: 8 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for A7,A8: 7..:

* INC # A7: 7 # C8: 6,9 => UNS
* INC # A7: 7 # C8: 1,8 => UNS
* INC # A7: 7 # A4: 6,9 => UNS
* INC # A7: 7 # A4: 2,4,5 => UNS
* INC # A7: 7 => UNS
* PRF # A8: 7 # C7: 3,5 => SOL
* STA # A8: 7 + C7: 3,5
* CNT   6 HDP CHAINS /   7 HYP OPENED