Analysis of xx-ph-00034430-12_05-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6...9.7....7..5...4...5..3...59..8.......4..6.2..13.....95..6.........12 initial

Autosolve

position: 98.7.....65..9.7....7..5...4...5..3...59..8.......4..6.2..13.....95..6.......9.12 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for H5,I5: 4..:

* PRF # H5: 4 # I8: 7,8 => SOL
* STA # H5: 4 + I8: 7,8
* CNT   1 HDP CHAINS /  13 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...9.7....7..5...4...5..3...59..8.......4..6.2..13.....95..6.........12 initial
98.7.....65..9.7....7..5...4...5..3...59..8.......4..6.2..13.....95..6.......9.12 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A8,B8: 1.. / A8 = 1  =>  1 pairs (_) / B8 = 1  =>  1 pairs (_)
E8,F8: 2.. / E8 = 2  =>  1 pairs (_) / F8 = 2  =>  2 pairs (_)
I8,G9: 3.. / I8 = 3  =>  1 pairs (_) / G9 = 3  =>  3 pairs (_)
H5,I5: 4.. / H5 = 4  =>  3 pairs (_) / I5 = 4  =>  1 pairs (_)
G6,H6: 5.. / G6 = 5  =>  3 pairs (_) / H6 = 5  =>  0 pairs (_)
A7,A9: 5.. / A7 = 5  =>  2 pairs (_) / A9 = 5  =>  2 pairs (_)
A9,G9: 5.. / A9 = 5  =>  2 pairs (_) / G9 = 5  =>  2 pairs (_)
I1,I7: 5.. / I1 = 5  =>  0 pairs (_) / I7 = 5  =>  3 pairs (_)
H1,H3: 6.. / H1 = 6  =>  1 pairs (_) / H3 = 6  =>  0 pairs (_)
C7,D7: 6.. / C7 = 6  =>  1 pairs (_) / D7 = 6  =>  2 pairs (_)
B4,B6: 9.. / B4 = 9  =>  4 pairs (_) / B6 = 9  =>  0 pairs (_)
* DURATION: 0:00:06.534281  START: 13:04:26.117385  END: 13:04:32.651666 2020-12-14
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B4,B6: 9.. / B4 = 9 ==>  4 pairs (_) / B6 = 9 ==>  0 pairs (_)
H5,I5: 4.. / H5 = 4 ==>  0 pairs (*) / I5 = 4  =>  0 pairs (X)
* DURATION: 0:00:18.993130  START: 13:04:32.652224  END: 13:04:51.645354 2020-12-14
* REASONING H5,I5: 4..
* PRF # H5: 4 # I8: 7,8 => SOL
* STA # H5: 4 + I8: 7,8
* CNT   1 HDP CHAINS /  13 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

34430;12_05;GP;24;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B4,B6: 9..:

* INC # B4: 9 # C4: 1,2 => UNS
* INC # B4: 9 # D4: 1,2 => UNS
* INC # B4: 9 # F4: 1,2 => UNS
* INC # B4: 9 # G1: 1,2 => UNS
* INC # B4: 9 # G3: 1,2 => UNS
* INC # B4: 9 # I5: 1,7 => UNS
* INC # B4: 9 # I5: 4 => UNS
* INC # B4: 9 # F4: 1,7 => UNS
* INC # B4: 9 # F4: 2,6,8 => UNS
* INC # B4: 9 # G7: 5,9 => UNS
* INC # B4: 9 # G7: 4 => UNS
* INC # B4: 9 # H7: 5,9 => UNS
* INC # B4: 9 # H7: 4,7,8 => UNS
* INC # B4: 9 => UNS
* INC # B6: 9 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for H5,I5: 4..:

* INC # H5: 4 # H3: 2,8 => UNS
* INC # H5: 4 # H3: 6,9 => UNS
* INC # H5: 4 # D2: 2,8 => UNS
* INC # H5: 4 # F2: 2,8 => UNS
* INC # H5: 4 # I4: 1,7 => UNS
* INC # H5: 4 # I4: 9 => UNS
* INC # H5: 4 # A5: 1,7 => UNS
* INC # H5: 4 # B5: 1,7 => UNS
* INC # H5: 4 # F5: 1,7 => UNS
* INC # H5: 4 # H7: 7,8 => UNS
* INC # H5: 4 # I7: 7,8 => UNS
* PRF # H5: 4 # I8: 7,8 => SOL
* STA # H5: 4 + I8: 7,8
* CNT  12 HDP CHAINS /  13 HYP OPENED