Analysis of xx-ph-00248057-12_12_03-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1....23.4...45..2....546.7....72......4.....86..9..2...4.....9..57.9....4 initial

Autosolve

position: .....4..1....23.4...45..2....546.7....72..4...4.....86..9.42...4.....9..57.9....4 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for I4,I8: 2..:

* DIS # I8: 2 # G1: 6,8 => CTR => G1: 3,5
* DIS # I8: 2 + G1: 3,5 # A2: 6,8 => CTR => A2: 1,7,9
* DIS # I8: 2 + G1: 3,5 + A2: 1,7,9 # E6: 1,3 => CTR => E6: 5,7,9
* DIS # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # E5: 1,8 => CTR => E5: 3,5
* PRF # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 + E5: 3,5 # F5: 5 => SOL
* STA # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 + E5: 3,5 + F5: 5
* CNT   5 HDP CHAINS /  32 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

........1....23.4...45..2....546.7....72......4.....86..9..2...4.....9..57.9....4 initial
.....4..1....23.4...45..2....546.7....72..4...4.....86..9.42...4.....9..57.9....4 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
A6,C6: 2.. / A6 = 2  =>  2 pairs (_) / C6 = 2  =>  0 pairs (_)
H4,I4: 2.. / H4 = 2  =>  4 pairs (_) / I4 = 2  =>  0 pairs (_)
C9,H9: 2.. / C9 = 2  =>  3 pairs (_) / H9 = 2  =>  0 pairs (_)
A1,A6: 2.. / A1 = 2  =>  0 pairs (_) / A6 = 2  =>  2 pairs (_)
B1,B8: 2.. / B1 = 2  =>  3 pairs (_) / B8 = 2  =>  0 pairs (_)
I4,I8: 2.. / I4 = 2  =>  0 pairs (_) / I8 = 2  =>  4 pairs (_)
B1,B2: 5.. / B1 = 5  =>  0 pairs (_) / B2 = 5  =>  1 pairs (_)
E8,F8: 5.. / E8 = 5  =>  0 pairs (_) / F8 = 5  =>  0 pairs (_)
A5,B5: 6.. / A5 = 6  =>  0 pairs (_) / B5 = 6  =>  0 pairs (_)
* DURATION: 0:00:06.512480  START: 17:06:31.472128  END: 17:06:37.984608 2020-10-01
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I4,I8: 2.. / I4 = 2  =>  0 pairs (X) / I8 = 2 ==>  0 pairs (*)
* DURATION: 0:00:25.630873  START: 17:06:37.985199  END: 17:07:03.616072 2020-10-01
* REASONING I4,I8: 2..
* DIS # I8: 2 # G1: 6,8 => CTR => G1: 3,5
* DIS # I8: 2 + G1: 3,5 # A2: 6,8 => CTR => A2: 1,7,9
* DIS # I8: 2 + G1: 3,5 + A2: 1,7,9 # E6: 1,3 => CTR => E6: 5,7,9
* DIS # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # E5: 1,8 => CTR => E5: 3,5
* PRF # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 + E5: 3,5 # F5: 5 => SOL
* STA # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 + E5: 3,5 + F5: 5
* CNT   5 HDP CHAINS /  32 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

248057;12_12_03;dob;24;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I4,I8: 2..:

* DIS # I8: 2 # G1: 6,8 => CTR => G1: 3,5
* DIS # I8: 2 + G1: 3,5 # A2: 6,8 => CTR => A2: 1,7,9
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # C2: 6,8 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # D2: 6,8 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # G7: 6,8 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # G9: 6,8 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # C2: 6,8 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # D2: 6,8 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # G7: 6,8 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # G9: 6,8 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # A4: 1,3 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # B4: 1,3 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # A5: 1,3 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # B5: 1,3 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # D6: 1,3 => UNS
* DIS # I8: 2 + G1: 3,5 + A2: 1,7,9 # E6: 1,3 => CTR => E6: 5,7,9
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # G6: 1,3 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # C8: 1,3 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # C8: 6,8 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # A4: 1,3 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # B4: 1,3 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # A5: 1,3 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # B5: 1,3 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # D6: 1,3 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # G6: 1,3 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # C8: 1,3 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # C8: 6,8 => UNS
* DIS # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # E5: 1,8 => CTR => E5: 3,5
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 + E5: 3,5 # F5: 1,8 => UNS
* INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 + E5: 3,5 # F5: 1,8 => UNS
* PRF # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 + E5: 3,5 # F5: 5 => SOL
* STA # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 + E5: 3,5 + F5: 5
* CNT  31 HDP CHAINS /  32 HYP OPENED