Analysis of xx-ph-01683183-2015_08-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.36....5.....6...4.....8.3..5..7...2......8.....4.1...9.7.5.....95.........1..2 initial

Autosolve

position: 98.36....5.....6...4.....8.3..5..7...2......8.....4.1...9.7.5.....95.........1..2 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

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 B4,B6: 9..:

* DIS # B4: 9 # H5: 4,6 => CTR => H5: 3,5,9
* CNT   1 HDP CHAINS /  25 HYP OPENED

List of important HDP chains detected for G9,H9: 9..:

* DIS # G9: 9 # E6: 8,9 => CTR => E6: 2,3
* CNT   1 HDP CHAINS /  14 HYP OPENED

List of important HDP chains detected for G8,G9: 8..:

* DIS # G9: 8 # D7: 4,6 => CTR => D7: 2,8
* PRF # G9: 8 + D7: 2,8 # C3: 3,7 => SOL
* STA # G9: 8 + D7: 2,8 + C3: 3,7
* CNT   2 HDP CHAINS /   4 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

98.36....5.....6...4.....8.3..5..7...2......8.....4.1...9.7.5.....95.........1..2 initial
98.36....5.....6...4.....8.3..5..7...2......8.....4.1...9.7.5.....95.........1..2 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H4,G6: 2.. / H4 = 2  =>  1 pairs (_) / G6 = 2  =>  1 pairs (_)
D2,E2: 4.. / D2 = 4  =>  1 pairs (_) / E2 = 4  =>  1 pairs (_)
E2,E9: 4.. / E2 = 4  =>  1 pairs (_) / E9 = 4  =>  1 pairs (_)
F1,F3: 5.. / F1 = 5  =>  0 pairs (_) / F3 = 5  =>  1 pairs (_)
H5,I6: 5.. / H5 = 5  =>  0 pairs (_) / I6 = 5  =>  1 pairs (_)
B9,C9: 5.. / B9 = 5  =>  0 pairs (_) / C9 = 5  =>  1 pairs (_)
F3,I3: 5.. / F3 = 5  =>  1 pairs (_) / I3 = 5  =>  0 pairs (_)
C5,H5: 5.. / C5 = 5  =>  1 pairs (_) / H5 = 5  =>  0 pairs (_)
B6,B9: 5.. / B6 = 5  =>  1 pairs (_) / B9 = 5  =>  0 pairs (_)
H1,H5: 5.. / H1 = 5  =>  1 pairs (_) / H5 = 5  =>  0 pairs (_)
A3,C3: 6.. / A3 = 6  =>  1 pairs (_) / C3 = 6  =>  0 pairs (_)
G8,G9: 8.. / G8 = 8  =>  0 pairs (_) / G9 = 8  =>  2 pairs (_)
B4,B6: 9.. / B4 = 9  =>  1 pairs (_) / B6 = 9  =>  2 pairs (_)
G9,H9: 9.. / G9 = 9  =>  2 pairs (_) / H9 = 9  =>  0 pairs (_)
* DURATION: 0:00:09.814169  START: 15:35:35.429749  END: 15:35:45.243918 2020-10-24
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B4,B6: 9.. / B4 = 9 ==>  1 pairs (_) / B6 = 9 ==>  2 pairs (_)
G9,H9: 9.. / G9 = 9 ==>  3 pairs (_) / H9 = 9 ==>  0 pairs (_)
G8,G9: 8.. / G8 = 8  =>  0 pairs (X) / G9 = 8 ==>  0 pairs (*)
* DURATION: 0:00:31.379291  START: 15:35:45.244662  END: 15:36:16.623953 2020-10-24
* REASONING B4,B6: 9..
* DIS # B4: 9 # H5: 4,6 => CTR => H5: 3,5,9
* CNT   1 HDP CHAINS /  25 HYP OPENED
* REASONING G9,H9: 9..
* DIS # G9: 9 # E6: 8,9 => CTR => E6: 2,3
* CNT   1 HDP CHAINS /  14 HYP OPENED
* REASONING G8,G9: 8..
* DIS # G9: 8 # D7: 4,6 => CTR => D7: 2,8
* PRF # G9: 8 + D7: 2,8 # C3: 3,7 => SOL
* STA # G9: 8 + D7: 2,8 + C3: 3,7
* CNT   2 HDP CHAINS /   4 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

1683183;2015_08;col;22;11.40;11.40;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

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

* INC # B6: 9 # C4: 1,6 => UNS
* INC # B6: 9 # A5: 1,6 => UNS
* INC # B6: 9 # C5: 1,6 => UNS
* INC # B6: 9 # B7: 1,6 => UNS
* INC # B6: 9 # B8: 1,6 => UNS
* INC # B6: 9 # E6: 2,3 => UNS
* INC # B6: 9 # E6: 8 => UNS
* INC # B6: 9 # G3: 2,3 => UNS
* INC # B6: 9 # G3: 1,9 => UNS
* INC # B6: 9 => UNS
* INC # B4: 9 # H4: 4,6 => UNS
* DIS # B4: 9 # H5: 4,6 => CTR => H5: 3,5,9
* INC # B4: 9 + H5: 3,5,9 # H4: 4,6 => UNS
* INC # B4: 9 + H5: 3,5,9 # H4: 2 => UNS
* INC # B4: 9 + H5: 3,5,9 # C4: 4,6 => UNS
* INC # B4: 9 + H5: 3,5,9 # C4: 1,8 => UNS
* INC # B4: 9 + H5: 3,5,9 # I7: 4,6 => UNS
* INC # B4: 9 + H5: 3,5,9 # I8: 4,6 => UNS
* INC # B4: 9 + H5: 3,5,9 # H4: 4,6 => UNS
* INC # B4: 9 + H5: 3,5,9 # H4: 2 => UNS
* INC # B4: 9 + H5: 3,5,9 # C4: 4,6 => UNS
* INC # B4: 9 + H5: 3,5,9 # C4: 1,8 => UNS
* INC # B4: 9 + H5: 3,5,9 # I7: 4,6 => UNS
* INC # B4: 9 + H5: 3,5,9 # I8: 4,6 => UNS
* INC # B4: 9 + H5: 3,5,9 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for G9,H9: 9..:

* INC # G9: 9 # H5: 3,4 => UNS
* INC # G9: 9 # H5: 5,6,9 => UNS
* INC # G9: 9 # E6: 2,3 => UNS
* DIS # G9: 9 # E6: 8,9 => CTR => E6: 2,3
* INC # G9: 9 + E6: 2,3 # G3: 2,3 => UNS
* INC # G9: 9 + E6: 2,3 # G3: 1 => UNS
* INC # G9: 9 + E6: 2,3 # G3: 2,3 => UNS
* INC # G9: 9 + E6: 2,3 # G3: 1 => UNS
* INC # G9: 9 + E6: 2,3 # H5: 3,4 => UNS
* INC # G9: 9 + E6: 2,3 # H5: 5,6,9 => UNS
* INC # G9: 9 + E6: 2,3 # G3: 2,3 => UNS
* INC # G9: 9 + E6: 2,3 # G3: 1 => UNS
* INC # G9: 9 + E6: 2,3 => UNS
* INC # H9: 9 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for G8,G9: 8..:

* DIS # G9: 8 # D7: 4,6 => CTR => D7: 2,8
* INC # G9: 8 + D7: 2,8 # C2: 3,7 => UNS
* PRF # G9: 8 + D7: 2,8 # C3: 3,7 => SOL
* STA # G9: 8 + D7: 2,8 + C3: 3,7
* CNT   3 HDP CHAINS /   4 HYP OPENED