Analysis of xx-ph-00048289-12_10-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..75..6..8...6..8...5..4....6.3.....2...7.8.5....5.7.9.....2...1......3..4 initial

Autosolve

position: 98.7..6..75..6..8...6..8...5..4....6.3.....2...7.8.5....5.7.9.....2...1......3..4 autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

See Appendix: Full HDP Chains for full list of HDP chains.

Pair Reduction

Pair Reduction

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:07.189255

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000018

List of important HDP chains detected for H7,H9: 6..:

* DIS # H9: 6 # E1: 4,5 => CTR => E1: 1,2,3
* PRF # H9: 6 + E1: 1,2,3 # F1: 1,2 => SOL
* STA # H9: 6 + E1: 1,2,3 + F1: 1,2
* CNT   2 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

98.7..6..75..6..8...6..8...5..4....6.3.....2...7.8.5....5.7.9.....2...1......3..4 initial
98.7..6..75..6..8...6..8...5..4....6.3.....2...7.8.5....5.7.9.....2...1......3..4 autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (1)
H7: 3,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I7,G9: 2.. / I7 = 2  =>  2 pairs (_) / G9 = 2  =>  2 pairs (_)
E4,D6: 3.. / E4 = 3  =>  2 pairs (_) / D6 = 3  =>  4 pairs (_)
G5,H6: 4.. / G5 = 4  =>  2 pairs (_) / H6 = 4  =>  2 pairs (_)
I8,H9: 5.. / I8 = 5  =>  3 pairs (_) / H9 = 5  =>  4 pairs (_)
H7,H9: 6.. / H7 = 6  =>  3 pairs (_) / H9 = 6  =>  6 pairs (_)
F4,F5: 7.. / F4 = 7  =>  2 pairs (_) / F5 = 7  =>  1 pairs (_)
B8,B9: 7.. / B8 = 7  =>  2 pairs (_) / B9 = 7  =>  3 pairs (_)
D7,D9: 8.. / D7 = 8  =>  2 pairs (_) / D9 = 8  =>  3 pairs (_)
C4,G4: 8.. / C4 = 8  =>  1 pairs (_) / G4 = 8  =>  3 pairs (_)
* DURATION: 0:00:05.082244  START: 22:55:16.001235  END: 22:55:21.083479 2020-12-19
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H7,H9: 6.. / H7 = 6  =>  0 pairs (X) / H9 = 6 ==>  0 pairs (*)
* DURATION: 0:00:09.552154  START: 22:55:29.973868  END: 22:55:39.526022 2020-12-19
* REASONING H7,H9: 6..
* DIS # H9: 6 # E1: 4,5 => CTR => E1: 1,2,3
* PRF # H9: 6 + E1: 1,2,3 # F1: 1,2 => SOL
* STA # H9: 6 + E1: 1,2,3 + F1: 1,2
* CNT   2 HDP CHAINS /   7 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

48289;12_10;GP;25;11.30;11.30;10.60

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # A7: 3,6 => UNS
* INC # A7: 1,2,4,8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # A7: 3,6 => UNS
* INC # A7: 1,2,4,8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # A7: 3,6 => UNS
* INC # A7: 1,2,4,8 => UNS
* INC # A7: 3,6 # A8: 3,6 => UNS
* INC # A7: 3,6 # A8: 4,8 => UNS
* INC # A7: 3,6 # D9: 1,8 => UNS
* INC # A7: 3,6 # D9: 5,6,9 => UNS
* INC # A7: 3,6 # B7: 1,4 => UNS
* INC # A7: 3,6 # B7: 2 => UNS
* INC # A7: 3,6 # F1: 1,4 => UNS
* INC # A7: 3,6 # F2: 1,4 => UNS
* INC # A7: 3,6 # G9: 2,8 => UNS
* INC # A7: 3,6 # G9: 7 => UNS
* INC # A7: 3,6 => UNS
* INC # A7: 1,2,4,8 # I8: 7,8 => UNS
* INC # A7: 1,2,4,8 # G9: 7,8 => UNS
* INC # A7: 1,2,4,8 # G4: 7,8 => UNS
* INC # A7: 1,2,4,8 # G5: 7,8 => UNS
* INC # A7: 1,2,4,8 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H7,H9: 6..:

* INC # H9: 6 # H3: 4,5 => UNS
* INC # H9: 6 # H3: 7,9 => UNS
* DIS # H9: 6 # E1: 4,5 => CTR => E1: 1,2,3
* INC # H9: 6 + E1: 1,2,3 # F1: 4,5 => UNS
* INC # H9: 6 + E1: 1,2,3 # F1: 4,5 => UNS
* PRF # H9: 6 + E1: 1,2,3 # F1: 1,2 => SOL
* STA # H9: 6 + E1: 1,2,3 + F1: 1,2
* CNT   6 HDP CHAINS /   7 HYP OPENED