Analysis of xx-ph-00034921-12_05-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..5.4.3...........4.3.......2.9.1..8......52.9.1..9...6..7.....8...9..71.. initial

Autosolve

position: 98.7..6..5.4.3...........4.3.......2.9.1..8......52.9.1..9...6..7.....8...9..71.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for H4,I6: 1..:

* DIS # I6: 1 # B4: 4,6 => CTR => B4: 1,5
* PRF # I6: 1 + B4: 1,5 # E4: 4,7 => SOL
* STA # I6: 1 + B4: 1,5 + E4: 4,7
* CNT   2 HDP CHAINS /  16 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..5.4.3...........4.3.......2.9.1..8......52.9.1..9...6..7.....8...9..71.. initial
98.7..6..5.4.3...........4.3.......2.9.1..8......52.9.1..9...6..7.....8...9..71.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
H4,I6: 1.. / H4 = 1  =>  1 pairs (_) / I6 = 1  =>  5 pairs (_)
E8,F8: 1.. / E8 = 1  =>  1 pairs (_) / F8 = 1  =>  1 pairs (_)
A5,C5: 2.. / A5 = 2  =>  2 pairs (_) / C5 = 2  =>  3 pairs (_)
F5,D6: 3.. / F5 = 3  =>  1 pairs (_) / D6 = 3  =>  2 pairs (_)
E1,F1: 4.. / E1 = 4  =>  3 pairs (_) / F1 = 4  =>  2 pairs (_)
I5,I6: 6.. / I5 = 6  =>  2 pairs (_) / I6 = 6  =>  2 pairs (_)
A3,C3: 7.. / A3 = 7  =>  0 pairs (_) / C3 = 7  =>  1 pairs (_)
E4,E5: 7.. / E4 = 7  =>  4 pairs (_) / E5 = 7  =>  1 pairs (_)
G7,I7: 7.. / G7 = 7  =>  3 pairs (_) / I7 = 7  =>  0 pairs (_)
I2,I3: 8.. / I2 = 8  =>  1 pairs (_) / I3 = 8  =>  0 pairs (_)
C7,A9: 8.. / C7 = 8  =>  1 pairs (_) / A9 = 8  =>  0 pairs (_)
A6,A9: 8.. / A6 = 8  =>  1 pairs (_) / A9 = 8  =>  0 pairs (_)
E4,F4: 9.. / E4 = 9  =>  1 pairs (_) / F4 = 9  =>  0 pairs (_)
G8,I8: 9.. / G8 = 9  =>  3 pairs (_) / I8 = 9  =>  0 pairs (_)
E3,E4: 9.. / E3 = 9  =>  0 pairs (_) / E4 = 9  =>  1 pairs (_)
* DURATION: 0:00:12.859080  START: 08:26:58.592182  END: 08:27:11.451262 2020-12-15
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H4,I6: 1.. / H4 = 1  =>  0 pairs (X) / I6 = 1 ==>  0 pairs (*)
* DURATION: 0:00:24.704873  START: 08:27:11.452170  END: 08:27:36.157043 2020-12-15
* REASONING H4,I6: 1..
* DIS # I6: 1 # B4: 4,6 => CTR => B4: 1,5
* PRF # I6: 1 + B4: 1,5 # E4: 4,7 => SOL
* STA # I6: 1 + B4: 1,5 + E4: 4,7
* CNT   2 HDP CHAINS /  16 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

34921;12_05;GP;24;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H4,I6: 1..:

* INC # I6: 1 # H1: 3,5 => UNS
* INC # I6: 1 # G3: 3,5 => UNS
* INC # I6: 1 # I3: 3,5 => UNS
* INC # I6: 1 # I7: 3,5 => UNS
* INC # I6: 1 # I8: 3,5 => UNS
* INC # I6: 1 # I9: 3,5 => UNS
* DIS # I6: 1 # B4: 4,6 => CTR => B4: 1,5
* INC # I6: 1 + B4: 1,5 # A6: 4,6 => UNS
* INC # I6: 1 + B4: 1,5 # A6: 4,6 => UNS
* INC # I6: 1 + B4: 1,5 # A6: 7,8 => UNS
* INC # I6: 1 + B4: 1,5 # D6: 4,6 => UNS
* INC # I6: 1 + B4: 1,5 # D6: 3,8 => UNS
* INC # I6: 1 + B4: 1,5 # B9: 4,6 => UNS
* INC # I6: 1 + B4: 1,5 # B9: 2,3,5 => UNS
* PRF # I6: 1 + B4: 1,5 # E4: 4,7 => SOL
* STA # I6: 1 + B4: 1,5 + E4: 4,7
* CNT  15 HDP CHAINS /  16 HYP OPENED