Analysis of xx-ph-00000459-147-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ...4....9..7.8..6......35..2...1....8......1...16.7.....2.6..9....9..3...9...5..4 initial

Autosolve

position: ...4.6..9..7.8..6......35..2...1....8......1...16.7.....2.6..9....9..3...9...5..4 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for E1,D2: 5..:

* DIS # E1: 5 # A2: 1,3 => CTR => A2: 4,5,9
* DIS # E1: 5 + A2: 4,5,9 # F2: 1,2 => CTR => F2: 9
* DIS # E1: 5 + A2: 4,5,9 + F2: 9 # B2: 1,2 => CTR => B2: 3,4,5
* DIS # E1: 5 + A2: 4,5,9 + F2: 9 + B2: 3,4,5 # I2: 1,2 => CTR => I2: 3
* PRF # E1: 5 + A2: 4,5,9 + F2: 9 + B2: 3,4,5 + I2: 3 # A7: 1,3 => SOL
* STA # E1: 5 + A2: 4,5,9 + F2: 9 + B2: 3,4,5 + I2: 3 + A7: 1,3
* CNT   5 HDP CHAINS /  28 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

...4....9..7.8..6......35..2...1....8......1...16.7.....2.6..9....9..3...9...5..4 initial
...4.6..9..7.8..6......35..2...1....8......1...16.7.....2.6..9....9..3...9...5..4 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H1,I2: 3.. / H1 = 3  =>  3 pairs (_) / I2 = 3  =>  0 pairs (_)
G2,H3: 4.. / G2 = 4  =>  0 pairs (_) / H3 = 4  =>  1 pairs (_)
E1,D2: 5.. / E1 = 5  =>  3 pairs (_) / D2 = 5  =>  3 pairs (_)
I8,G9: 6.. / I8 = 6  =>  0 pairs (_) / G9 = 6  =>  1 pairs (_)
B4,B5: 7.. / B4 = 7  =>  0 pairs (_) / B5 = 7  =>  0 pairs (_)
D4,F4: 8.. / D4 = 8  =>  1 pairs (_) / F4 = 8  =>  2 pairs (_)
F2,E3: 9.. / F2 = 9  =>  3 pairs (_) / E3 = 9  =>  1 pairs (_)
A2,F2: 9.. / A2 = 9  =>  1 pairs (_) / F2 = 9  =>  3 pairs (_)
* DURATION: 0:00:05.130101  START: 20:59:56.094359  END: 21:00:01.224460 2020-10-25
* CP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E1,D2: 5.. / E1 = 5 ==>  0 pairs (*) / D2 = 5  =>  0 pairs (X)
* DURATION: 0:00:20.160799  START: 21:00:01.225134  END: 21:00:21.385933 2020-10-25
* REASONING E1,D2: 5..
* DIS # E1: 5 # A2: 1,3 => CTR => A2: 4,5,9
* DIS # E1: 5 + A2: 4,5,9 # F2: 1,2 => CTR => F2: 9
* DIS # E1: 5 + A2: 4,5,9 + F2: 9 # B2: 1,2 => CTR => B2: 3,4,5
* DIS # E1: 5 + A2: 4,5,9 + F2: 9 + B2: 3,4,5 # I2: 1,2 => CTR => I2: 3
* PRF # E1: 5 + A2: 4,5,9 + F2: 9 + B2: 3,4,5 + I2: 3 # A7: 1,3 => SOL
* STA # E1: 5 + A2: 4,5,9 + F2: 9 + B2: 3,4,5 + I2: 3 + A7: 1,3
* CNT   5 HDP CHAINS /  28 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

459;147;elev;22;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E1,D2: 5..:

* INC # E1: 5 # B1: 1,3 => UNS
* DIS # E1: 5 # A2: 1,3 => CTR => A2: 4,5,9
* INC # E1: 5 + A2: 4,5,9 # B2: 1,3 => UNS
* INC # E1: 5 + A2: 4,5,9 # A7: 1,3 => UNS
* INC # E1: 5 + A2: 4,5,9 # A9: 1,3 => UNS
* INC # E1: 5 + A2: 4,5,9 # B1: 1,3 => UNS
* INC # E1: 5 + A2: 4,5,9 # B2: 1,3 => UNS
* INC # E1: 5 + A2: 4,5,9 # A7: 1,3 => UNS
* INC # E1: 5 + A2: 4,5,9 # A9: 1,3 => UNS
* INC # E1: 5 + A2: 4,5,9 # B1: 3,8 => UNS
* INC # E1: 5 + A2: 4,5,9 # B1: 1,2 => UNS
* INC # E1: 5 + A2: 4,5,9 # H1: 3,8 => UNS
* INC # E1: 5 + A2: 4,5,9 # H1: 2,7 => UNS
* INC # E1: 5 + A2: 4,5,9 # C9: 3,8 => UNS
* INC # E1: 5 + A2: 4,5,9 # C9: 6 => UNS
* DIS # E1: 5 + A2: 4,5,9 # F2: 1,2 => CTR => F2: 9
* INC # E1: 5 + A2: 4,5,9 + F2: 9 # D3: 1,2 => UNS
* INC # E1: 5 + A2: 4,5,9 + F2: 9 # D3: 1,2 => UNS
* INC # E1: 5 + A2: 4,5,9 + F2: 9 # D3: 7 => UNS
* DIS # E1: 5 + A2: 4,5,9 + F2: 9 # B2: 1,2 => CTR => B2: 3,4,5
* INC # E1: 5 + A2: 4,5,9 + F2: 9 + B2: 3,4,5 # G2: 1,2 => UNS
* DIS # E1: 5 + A2: 4,5,9 + F2: 9 + B2: 3,4,5 # I2: 1,2 => CTR => I2: 3
* INC # E1: 5 + A2: 4,5,9 + F2: 9 + B2: 3,4,5 + I2: 3 # D3: 1,2 => UNS
* INC # E1: 5 + A2: 4,5,9 + F2: 9 + B2: 3,4,5 + I2: 3 # D3: 7 => UNS
* INC # E1: 5 + A2: 4,5,9 + F2: 9 + B2: 3,4,5 + I2: 3 # B1: 1,3 => UNS
* INC # E1: 5 + A2: 4,5,9 + F2: 9 + B2: 3,4,5 + I2: 3 # B1: 2,8 => UNS
* PRF # E1: 5 + A2: 4,5,9 + F2: 9 + B2: 3,4,5 + I2: 3 # A7: 1,3 => SOL
* STA # E1: 5 + A2: 4,5,9 + F2: 9 + B2: 3,4,5 + I2: 3 + A7: 1,3
* CNT  27 HDP CHAINS /  28 HYP OPENED