Analysis of xx-ph-01256043-13_12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....7..5..9.......9.8.67...58....4.7...5...3.....46...75......2..1.........4 initial

Autosolve

position: 98.76..5.7..5..9.......9.8.67...58....4.7...5...3.....46...75......2..1.....5...4 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for C2,C3: 6..:

* DIS # C2: 6 # G6: 6,7 => CTR => G6: 1,2,4
* CNT   1 HDP CHAINS /  13 HYP OPENED

List of important HDP chains detected for F1,G1: 4..:

* DIS # F1: 4 # G3: 1,2 => CTR => G3: 3,4,6,7
* PRF # F1: 4 + G3: 3,4,6,7 # I3: 1,2 => SOL
* STA # F1: 4 + G3: 3,4,6,7 + I3: 1,2
* CNT   2 HDP CHAINS /   8 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

98.76....7..5..9.......9.8.67...58....4.7...5...3.....46...75......2..1.........4 initial
98.76..5.7..5..9.......9.8.67...58....4.7...5...3.....46...75......2..1.....5...4 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
B2,B3: 4.. / B2 = 4  =>  0 pairs (_) / B3 = 4  =>  2 pairs (_)
D8,F8: 4.. / D8 = 4  =>  1 pairs (_) / F8 = 4  =>  0 pairs (_)
F1,G1: 4.. / F1 = 4  =>  2 pairs (_) / G1 = 4  =>  0 pairs (_)
C2,C3: 6.. / C2 = 6  =>  2 pairs (_) / C3 = 6  =>  0 pairs (_)
G3,I3: 7.. / G3 = 7  =>  1 pairs (_) / I3 = 7  =>  0 pairs (_)
C8,C9: 7.. / C8 = 7  =>  1 pairs (_) / C9 = 7  =>  0 pairs (_)
H6,H9: 7.. / H6 = 7  =>  0 pairs (_) / H9 = 7  =>  1 pairs (_)
E2,F2: 8.. / E2 = 8  =>  0 pairs (_) / F2 = 8  =>  0 pairs (_)
I7,I8: 8.. / I7 = 8  =>  1 pairs (_) / I8 = 8  =>  1 pairs (_)
* DURATION: 0:00:05.757132  START: 19:36:04.089775  END: 19:36:09.846907 2020-10-04
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C2,C3: 6.. / C2 = 6 ==>  2 pairs (_) / C3 = 6 ==>  0 pairs (_)
F1,G1: 4.. / F1 = 4 ==>  0 pairs (*) / G1 = 4  =>  0 pairs (X)
* DURATION: 0:00:17.057397  START: 19:36:09.847618  END: 19:36:26.905015 2020-10-04
* REASONING C2,C3: 6..
* DIS # C2: 6 # G6: 6,7 => CTR => G6: 1,2,4
* CNT   1 HDP CHAINS /  13 HYP OPENED
* REASONING F1,G1: 4..
* DIS # F1: 4 # G3: 1,2 => CTR => G3: 3,4,6,7
* PRF # F1: 4 + G3: 3,4,6,7 # I3: 1,2 => SOL
* STA # F1: 4 + G3: 3,4,6,7 + I3: 1,2
* CNT   2 HDP CHAINS /   8 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

1256043;13_12;GP;24;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C2,C3: 6..:

* DIS # C2: 6 # G6: 6,7 => CTR => G6: 1,2,4
* INC # C2: 6 + G6: 1,2,4 # G8: 6,7 => UNS
* INC # C2: 6 + G6: 1,2,4 # G9: 6,7 => UNS
* INC # C2: 6 + G6: 1,2,4 # G8: 6,7 => UNS
* INC # C2: 6 + G6: 1,2,4 # G9: 6,7 => UNS
* INC # C2: 6 + G6: 1,2,4 # I6: 6,7 => UNS
* INC # C2: 6 + G6: 1,2,4 # I8: 6,7 => UNS
* INC # C2: 6 + G6: 1,2,4 # G8: 6,7 => UNS
* INC # C2: 6 + G6: 1,2,4 # G9: 6,7 => UNS
* INC # C2: 6 + G6: 1,2,4 # I6: 6,7 => UNS
* INC # C2: 6 + G6: 1,2,4 # I8: 6,7 => UNS
* INC # C2: 6 + G6: 1,2,4 => UNS
* INC # C3: 6 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for F1,G1: 4..:

* INC # F1: 4 # F2: 1,2 => UNS
* INC # F1: 4 # F2: 3,8 => UNS
* INC # F1: 4 # A3: 1,2 => UNS
* INC # F1: 4 # B3: 1,2 => UNS
* INC # F1: 4 # C3: 1,2 => UNS
* DIS # F1: 4 # G3: 1,2 => CTR => G3: 3,4,6,7
* PRF # F1: 4 + G3: 3,4,6,7 # I3: 1,2 => SOL
* STA # F1: 4 + G3: 3,4,6,7 + I3: 1,2
* CNT   7 HDP CHAINS /   8 HYP OPENED