Analysis of xx-HardestSudokusThread-00220-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .2.4.....4...8...6..9..31..2..5...7..95.......7....3....29...4......1..3....6.8.. initial

Autosolve

position: .2.4.....4...8...6..9..31.42..5...7..95.......7....3....29...4......1..3....6.8.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000005

List of important HDP chains detected for E1,D2: 1..:

* PRF # D2: 1 # C1: 3,7 => SOL
* STA # D2: 1 + C1: 3,7
* CNT   1 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

.2.4.....4...8...6..9..31..2..5...7..95.......7....3....29...4......1..3....6.8.. initial
.2.4.....4...8...6..9..31.42..5...7..95.......7....3....29...4......1..3....6.8.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E1,D2: 1.. / E1 = 1  =>  1 pairs (_) / D2 = 1  =>  2 pairs (_)
H1,H2: 3.. / H1 = 3  =>  0 pairs (_) / H2 = 3  =>  2 pairs (_)
E7,D9: 3.. / E7 = 3  =>  1 pairs (_) / D9 = 3  =>  1 pairs (_)
D5,D9: 3.. / D5 = 3  =>  1 pairs (_) / D9 = 3  =>  1 pairs (_)
G4,G5: 4.. / G4 = 4  =>  1 pairs (_) / G5 = 4  =>  1 pairs (_)
E8,F9: 4.. / E8 = 4  =>  0 pairs (_) / F9 = 4  =>  0 pairs (_)
H6,I6: 5.. / H6 = 5  =>  1 pairs (_) / I6 = 5  =>  1 pairs (_)
F1,D3: 6.. / F1 = 6  =>  1 pairs (_) / D3 = 6  =>  1 pairs (_)
F7,D8: 8.. / F7 = 8  =>  1 pairs (_) / D8 = 8  =>  1 pairs (_)
A8,A9: 9.. / A8 = 9  =>  0 pairs (_) / A9 = 9  =>  0 pairs (_)
* DURATION: 0:00:08.174822  START: 18:18:13.087343  END: 18:18:21.262165 2017-04-29
* CP COUNT: (10)

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E1,D2: 1.. / E1 = 1  =>  0 pairs (X) / D2 = 1 ==>  0 pairs (*)
* DURATION: 0:00:15.120842  START: 18:18:21.262524  END: 18:18:36.383366 2017-04-29
* REASONING E1,D2: 1..
* PRF # D2: 1 # C1: 3,7 => SOL
* STA # D2: 1 + C1: 3,7
* CNT   1 HDP CHAINS /   9 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

HardestSudokusThread-00220,eleven,95052,98003,11.6,1.2,1.2,2466,1221

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E1,D2: 1..:

* INC # D2: 1 # A1: 3,5 => UNS
* INC # D2: 1 # A1: 1,6,7,8 => UNS
* INC # D2: 1 # H2: 3,5 => UNS
* INC # D2: 1 # H2: 2,9 => UNS
* INC # D2: 1 # B7: 3,5 => UNS
* INC # D2: 1 # B9: 3,5 => UNS
* INC # D2: 1 # A1: 3,7 => UNS
* PRF # D2: 1 # C1: 3,7 => SOL
* STA # D2: 1 + C1: 3,7
* CNT   8 HDP CHAINS /   9 HYP OPENED