Analysis of xx-ph-01549926-14_09-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7..5...9...5...6..4..........839..5.....8...3.2.........987..6......31.. initial

Autosolve

position: 98.76.5..7..5...9...5...6..4..........839..5.....8...3.2.........987..6......31.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for C1,H1: 3..:

* DIS # C1: 3 # I3: 1,2 => CTR => I3: 4,7,8
* DIS # C1: 3 + I3: 4,7,8 # B2: 1,4 => CTR => B2: 6
* PRF # C1: 3 + I3: 4,7,8 + B2: 6 # H3: 1,4 => SOL
* STA # C1: 3 + I3: 4,7,8 + B2: 6 + H3: 1,4
* CNT   3 HDP CHAINS /  26 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

98.76.5..7..5...9...5...6..4..........839..5.....8...3.2.........987..6......31.. initial
98.76.5..7..5...9...5...6..4..........839..5.....8...3.2.........987..6......31.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
E2,E3: 3.. / E2 = 3  =>  0 pairs (_) / E3 = 3  =>  2 pairs (_)
B4,C4: 3.. / B4 = 3  =>  3 pairs (_) / C4 = 3  =>  0 pairs (_)
C1,H1: 3.. / C1 = 3  =>  4 pairs (_) / H1 = 3  =>  0 pairs (_)
B2,C2: 6.. / B2 = 6  =>  1 pairs (_) / C2 = 6  =>  1 pairs (_)
I4,I5: 6.. / I4 = 6  =>  1 pairs (_) / I5 = 6  =>  2 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  0 pairs (_)
F2,F3: 8.. / F2 = 8  =>  2 pairs (_) / F3 = 8  =>  1 pairs (_)
A7,A9: 8.. / A7 = 8  =>  1 pairs (_) / A9 = 8  =>  0 pairs (_)
D3,F3: 9.. / D3 = 9  =>  1 pairs (_) / F3 = 9  =>  2 pairs (_)
B4,B6: 9.. / B4 = 9  =>  0 pairs (_) / B6 = 9  =>  0 pairs (_)
B6,G6: 9.. / B6 = 9  =>  0 pairs (_) / G6 = 9  =>  0 pairs (_)
D9,I9: 9.. / D9 = 9  =>  2 pairs (_) / I9 = 9  =>  0 pairs (_)
F3,F7: 9.. / F3 = 9  =>  2 pairs (_) / F7 = 9  =>  1 pairs (_)
* DURATION: 0:00:09.186615  START: 13:32:25.194447  END: 13:32:34.381062 2020-10-24
* CP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C1,H1: 3.. / C1 = 3 ==>  0 pairs (*) / H1 = 3  =>  0 pairs (X)
* DURATION: 0:00:25.269046  START: 13:32:34.381786  END: 13:32:59.650832 2020-10-24
* REASONING C1,H1: 3..
* DIS # C1: 3 # I3: 1,2 => CTR => I3: 4,7,8
* DIS # C1: 3 + I3: 4,7,8 # B2: 1,4 => CTR => B2: 6
* PRF # C1: 3 + I3: 4,7,8 + B2: 6 # H3: 1,4 => SOL
* STA # C1: 3 + I3: 4,7,8 + B2: 6 + H3: 1,4
* CNT   3 HDP CHAINS /  26 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1549926;14_09;GP;24;11.40;11.40;10.70

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C1,H1: 3..:

* INC # C1: 3 # C2: 1,2 => UNS
* INC # C1: 3 # C2: 4,6 => UNS
* INC # C1: 3 # D3: 1,2 => UNS
* INC # C1: 3 # E3: 1,2 => UNS
* INC # C1: 3 # F3: 1,2 => UNS
* INC # C1: 3 # H3: 1,2 => UNS
* DIS # C1: 3 # I3: 1,2 => CTR => I3: 4,7,8
* INC # C1: 3 + I3: 4,7,8 # A5: 1,2 => UNS
* INC # C1: 3 + I3: 4,7,8 # A5: 6 => UNS
* INC # C1: 3 + I3: 4,7,8 # C2: 1,2 => UNS
* INC # C1: 3 + I3: 4,7,8 # C2: 4,6 => UNS
* INC # C1: 3 + I3: 4,7,8 # D3: 1,2 => UNS
* INC # C1: 3 + I3: 4,7,8 # E3: 1,2 => UNS
* INC # C1: 3 + I3: 4,7,8 # F3: 1,2 => UNS
* INC # C1: 3 + I3: 4,7,8 # H3: 1,2 => UNS
* INC # C1: 3 + I3: 4,7,8 # A5: 1,2 => UNS
* INC # C1: 3 + I3: 4,7,8 # A5: 6 => UNS
* DIS # C1: 3 + I3: 4,7,8 # B2: 1,4 => CTR => B2: 6
* INC # C1: 3 + I3: 4,7,8 + B2: 6 # C2: 1,4 => UNS
* INC # C1: 3 + I3: 4,7,8 + B2: 6 # C2: 1,4 => UNS
* INC # C1: 3 + I3: 4,7,8 + B2: 6 # C2: 2 => UNS
* INC # C1: 3 + I3: 4,7,8 + B2: 6 # D3: 1,4 => UNS
* INC # C1: 3 + I3: 4,7,8 + B2: 6 # E3: 1,4 => UNS
* INC # C1: 3 + I3: 4,7,8 + B2: 6 # F3: 1,4 => UNS
* PRF # C1: 3 + I3: 4,7,8 + B2: 6 # H3: 1,4 => SOL
* STA # C1: 3 + I3: 4,7,8 + B2: 6 + H3: 1,4
* CNT  25 HDP CHAINS /  26 HYP OPENED