Analysis of xx-ph-00001046-H53-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 1.......5.2.4...6...3...7...4...6.......49.8...28.........5.1...6.9...2...7.....3 initial

Autosolve

position: 1.......5.2.4...6...3...7...4...6.......49.8...28.........5.1...6.9...2...7.....3 autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.203089

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000024

List of important HDP chains detected for B1,A2: 7..:

* PRF # A2: 7 # B7: 8,9 => SOL
* STA # A2: 7 + B7: 8,9
* 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

1.......5.2.4...6...3...7...4...6.......49.8...28.........5.1...6.9...2...7.....3 initial
1.......5.2.4...6...3...7...4...6.......49.8...28.........5.1...6.9...2...7.....3 autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (2)
C1: 4,6
A3: 4,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C8,B9: 1.. / C8 = 1  =>  3 pairs (_) / B9 = 1  =>  3 pairs (_)
G1,I3: 2.. / G1 = 2  =>  2 pairs (_) / I3 = 2  =>  2 pairs (_)
A7,A9: 2.. / A7 = 2  =>  2 pairs (_) / A9 = 2  =>  3 pairs (_)
C1,A3: 4.. / C1 = 4  =>  2 pairs (_) / A3 = 4  =>  2 pairs (_)
C1,A3: 6.. / C1 = 6  =>  2 pairs (_) / A3 = 6  =>  2 pairs (_)
I7,G9: 6.. / I7 = 6  =>  2 pairs (_) / G9 = 6  =>  3 pairs (_)
D7,I7: 6.. / D7 = 6  =>  3 pairs (_) / I7 = 6  =>  2 pairs (_)
C1,C5: 6.. / C1 = 6  =>  2 pairs (_) / C5 = 6  =>  2 pairs (_)
B1,A2: 7.. / B1 = 7  =>  2 pairs (_) / A2 = 7  =>  3 pairs (_)
A4,C4: 8.. / A4 = 8  =>  2 pairs (_) / C4 = 8  =>  4 pairs (_)
* DURATION: 0:00:08.999006  START: 14:20:18.984091  END: 14:20:27.983097 2020-11-24
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A4,C4: 8.. / A4 = 8 ==>  2 pairs (_) / C4 = 8 ==>  4 pairs (_)
C8,B9: 1.. / C8 = 1 ==>  3 pairs (_) / B9 = 1 ==>  3 pairs (_)
B1,A2: 7.. / B1 = 7  =>  0 pairs (X) / A2 = 7 ==>  0 pairs (*)
* DURATION: 0:00:24.500120  START: 14:20:28.930061  END: 14:20:53.430181 2020-11-24
* REASONING B1,A2: 7..
* PRF # A2: 7 # B7: 8,9 => SOL
* STA # A2: 7 + B7: 8,9
* CNT   1 HDP CHAINS /   6 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

1046;H53;col;21;11.30;11.30;3.40

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A4,C4: 8..:

* INC # C4: 8 # A2: 5,9 => UNS
* INC # C4: 8 # B3: 5,9 => UNS
* INC # C4: 8 # A7: 4,9 => UNS
* INC # C4: 8 # A9: 4,9 => UNS
* INC # C4: 8 # H7: 4,9 => UNS
* INC # C4: 8 # I7: 4,9 => UNS
* INC # C4: 8 => UNS
* INC # A4: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for C8,B9: 1..:

* INC # C8: 1 # A5: 5,6 => UNS
* INC # C8: 1 # A6: 5,6 => UNS
* INC # C8: 1 # G5: 5,6 => UNS
* INC # C8: 1 # G5: 2,3 => UNS
* INC # C8: 1 => UNS
* INC # B9: 1 # D7: 2,6 => UNS
* INC # B9: 1 # E9: 2,6 => UNS
* INC # B9: 1 # D1: 2,6 => UNS
* INC # B9: 1 # D3: 2,6 => UNS
* INC # B9: 1 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for B1,A2: 7..:

* INC # A2: 7 # C2: 8,9 => UNS
* INC # A2: 7 # B3: 8,9 => UNS
* INC # A2: 7 # E1: 8,9 => UNS
* INC # A2: 7 # G1: 8,9 => UNS
* PRF # A2: 7 # B7: 8,9 => SOL
* STA # A2: 7 + B7: 8,9
* CNT   5 HDP CHAINS /   6 HYP OPENED