Analysis of xx-ph-00000839-H178-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..5...9......4..3...3....5.8....8..2.1....4.....1.2...6...9.....2......1.7 initial

Autosolve

position: 98.7..6..5...9......4..3...3....5.8....8..2.1....4.....1.2...6...9.....2......1.7 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000021

List of important HDP chains detected for E5,H5: 3..:

* DIS # H5: 3 # A5: 6,7 => CTR => A5: 4
* DIS # H5: 3 + A5: 4 # B5: 6,7 => CTR => B5: 5,9
* PRF # H5: 3 + A5: 4 + B5: 5,9 # C5: 6,7 => SOL
* STA # H5: 3 + A5: 4 + B5: 5,9 + C5: 6,7
* CNT   3 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..5...9......4..3...3....5.8....8..2.1....4.....1.2...6...9.....2......1.7 initial
98.7..6..5...9......4..3...3....5.8....8..2.1....4.....1.2...6...9.....2......1.7 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
A3,A6: 1.. / A3 = 1  =>  2 pairs (_) / A6 = 1  =>  0 pairs (_)
E4,F6: 2.. / E4 = 2  =>  1 pairs (_) / F6 = 2  =>  1 pairs (_)
E5,D6: 3.. / E5 = 3  =>  0 pairs (_) / D6 = 3  =>  2 pairs (_)
E5,H5: 3.. / E5 = 3  =>  0 pairs (_) / H5 = 3  =>  2 pairs (_)
I4,I6: 6.. / I4 = 6  =>  1 pairs (_) / I6 = 6  =>  1 pairs (_)
F2,E3: 8.. / F2 = 8  =>  1 pairs (_) / E3 = 8  =>  1 pairs (_)
A6,C6: 8.. / A6 = 8  =>  3 pairs (_) / C6 = 8  =>  0 pairs (_)
* DURATION: 0:00:04.780203  START: 15:14:00.661991  END: 15:14:05.442194 2020-11-22
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A6,C6: 8.. / A6 = 8 ==>  3 pairs (_) / C6 = 8 ==>  0 pairs (_)
E5,H5: 3.. / E5 = 3  =>  0 pairs (X) / H5 = 3 ==>  0 pairs (*)
* DURATION: 0:00:17.974886  START: 15:14:05.443371  END: 15:14:23.418257 2020-11-22
* REASONING E5,H5: 3..
* DIS # H5: 3 # A5: 6,7 => CTR => A5: 4
* DIS # H5: 3 + A5: 4 # B5: 6,7 => CTR => B5: 5,9
* PRF # H5: 3 + A5: 4 + B5: 5,9 # C5: 6,7 => SOL
* STA # H5: 3 + A5: 4 + B5: 5,9 + C5: 6,7
* CNT   3 HDP CHAINS /   7 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

839;H178;GP;22;11.30;11.30;9.90

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A6,C6: 8..:

* INC # A6: 8 # B2: 2,3 => UNS
* INC # A6: 8 # C2: 2,3 => UNS
* INC # A6: 8 # H1: 2,3 => UNS
* INC # A6: 8 # H1: 1,4,5 => UNS
* INC # A6: 8 # E3: 5,6 => UNS
* INC # A6: 8 # E3: 2,8 => UNS
* INC # A6: 8 # D8: 5,6 => UNS
* INC # A6: 8 # D9: 5,6 => UNS
* INC # A6: 8 # A8: 4,7 => UNS
* INC # A6: 8 # B8: 4,7 => UNS
* INC # A6: 8 # F7: 4,7 => UNS
* INC # A6: 8 # F7: 8,9 => UNS
* INC # A6: 8 # A5: 4,7 => UNS
* INC # A6: 8 # A5: 6 => UNS
* INC # A6: 8 => UNS
* INC # C6: 8 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for E5,H5: 3..:

* INC # H5: 3 # E4: 6,7 => UNS
* INC # H5: 3 # F5: 6,7 => UNS
* INC # H5: 3 # F6: 6,7 => UNS
* DIS # H5: 3 # A5: 6,7 => CTR => A5: 4
* DIS # H5: 3 + A5: 4 # B5: 6,7 => CTR => B5: 5,9
* PRF # H5: 3 + A5: 4 + B5: 5,9 # C5: 6,7 => SOL
* STA # H5: 3 + A5: 4 + B5: 5,9 + C5: 6,7
* CNT   6 HDP CHAINS /   7 HYP OPENED