Analysis of xx-ph-00000846-H189-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 9876.....65....9............4..3..5...68..7.......2..1..89..5......1..2......4..3 initial

Autosolve

position: 9876.....65....9............4..3..5...68..7.......2..1..89..5......1..2......4..3 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: 0:00:07.771451

The following important HDP chains were detected:

* PRF # F4: 1,7 # G4: 2,8 => SOL
* STA # F4: 1,7 + G4: 2,8
* CNT   1 HDP CHAINS /   8 HYP OPENED

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

Details

Positions

9876.....65....9............4..3..5...68..7.......2..1..89..5......1..2......4..3 initial
9876.....65....9............4..3..5...68..7.......2..1..89..5......1..2......4..3 autosolve
987651342651243978324789165849137256216895734573462891438926517765318429192574683 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
D4: 1,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I1,I3: 5.. / I1 = 5  =>  3 pairs (_) / I3 = 5  =>  2 pairs (_)
F4,E6: 6.. / F4 = 6  =>  3 pairs (_) / E6 = 6  =>  2 pairs (_)
A4,A6: 8.. / A4 = 8  =>  3 pairs (_) / A6 = 8  =>  1 pairs (_)
F8,E9: 8.. / F8 = 8  =>  2 pairs (_) / E9 = 8  =>  2 pairs (_)
E3,F3: 9.. / E3 = 9  =>  2 pairs (_) / F3 = 9  =>  2 pairs (_)
I8,H9: 9.. / I8 = 9  =>  2 pairs (_) / H9 = 9  =>  2 pairs (_)
* DURATION: 0:00:04.349524  START: 16:39:03.228896  END: 16:39:07.578420 2020-11-22
* CP COUNT: (6)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:07.693777  START: 16:39:12.931304  END: 16:39:20.625081 2020-11-22
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00000846-H189-base-pr-002.dot
* REASONING
* PRF # F4: 1,7 # G4: 2,8 => SOL
* STA # F4: 1,7 + G4: 2,8
* CNT   1 HDP CHAINS /   8 HYP OPENED

Header Info

846;H189;GP;22;11.30;11.30;9.90

Solution

position: 987651342651243978324789165849137256216895734573462891438926517765318429192574683 solved
Solution

See section Deep Pair Reduction for the HDP chains leading to this result.

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # F4: 1,7 => UNS
* INC # F4: 6,9 => UNS
* INC # A4: 1,7 => UNS
* INC # A4: 2,8 => UNS
* INC # D2: 1,7 => UNS
* INC # D3: 1,7 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # F4: 1,7 => UNS
* INC # F4: 6,9 => UNS
* INC # A4: 1,7 => UNS
* INC # A4: 2,8 => UNS
* INC # D2: 1,7 => UNS
* INC # D3: 1,7 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # F4: 1,7 => UNS
* INC # F4: 6,9 => UNS
* INC # A4: 1,7 => UNS
* INC # A4: 2,8 => UNS
* INC # D2: 1,7 => UNS
* INC # D3: 1,7 => UNS
* PRF # F4: 1,7 # G4: 2,8 => SOL
* STA # F4: 1,7 + G4: 2,8
* CNT   7 HDP CHAINS /   8 HYP OPENED