Analysis of xx-ph-00974839-13_03-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7......9...5.....43...6.2...7...3..1..85..4....79...4.....1.3.......2..6 initial

Autosolve

position: 98.7..6..7......9...5.....43...6.2...7...3..1..85..4....79...4.....1.3.......2..6 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for H5,H6: 6..:

* DIS # H6: 6 # H1: 2,5 => CTR => H1: 1,3
* DIS # H6: 6 + H1: 1,3 # G5: 5,8 => CTR => G5: 9
* DIS # H6: 6 + H1: 1,3 + G5: 9 # H3: 1,3 => CTR => H3: 2,7
* DIS # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 # I2: 2,5 => CTR => I2: 8
* DIS # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 # A3: 1,2 => CTR => A3: 6
* DIS # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 + A3: 6 # A7: 5,8 => CTR => A7: 1,2
* DIS # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 + A3: 6 + A7: 1,2 # B6: 9 => CTR => B6: 1,2
* PRF # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 + A3: 6 + A7: 1,2 + B6: 1,2 # B2: 2,3 => SOL
* STA # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 + A3: 6 + A7: 1,2 + B6: 1,2 + B2: 2,3
* CNT   8 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

98.7..6..7......9...5.....43...6.2...7...3..1..85..4....79...4.....1.3.......2..6 initial
98.7..6..7......9...5.....43...6.2...7...3..1..85..4....79...4.....1.3.......2..6 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
H6,I6: 3.. / H6 = 3  =>  1 pairs (_) / I6 = 3  =>  4 pairs (_)
B7,E7: 3.. / B7 = 3  =>  1 pairs (_) / E7 = 3  =>  1 pairs (_)
B4,A5: 5.. / B4 = 5  =>  1 pairs (_) / A5 = 5  =>  2 pairs (_)
H5,H6: 6.. / H5 = 6  =>  1 pairs (_) / H6 = 6  =>  5 pairs (_)
G3,H3: 7.. / G3 = 7  =>  0 pairs (_) / H3 = 7  =>  0 pairs (X)
F8,E9: 7.. / F8 = 7  =>  4 pairs (_) / E9 = 7  =>  1 pairs (_)
E6,E9: 7.. / E6 = 7  =>  4 pairs (_) / E9 = 7  =>  1 pairs (_)
G3,G9: 7.. / G3 = 7  =>  0 pairs (_) / G9 = 7  =>  0 pairs (X)
E3,F3: 9.. / E3 = 9  =>  1 pairs (_) / F3 = 9  =>  1 pairs (_)
I8,G9: 9.. / I8 = 9  =>  3 pairs (_) / G9 = 9  =>  1 pairs (_)
G5,G9: 9.. / G5 = 9  =>  3 pairs (_) / G9 = 9  =>  1 pairs (_)
* DURATION: 0:00:06.971058  START: 02:48:33.057408  END: 02:48:40.028466 2021-01-05
* CP COUNT: (11)
* CLUE FOUND

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H5,H6: 6.. / H5 = 6  =>  0 pairs (X) / H6 = 6 ==>  0 pairs (*)
* DURATION: 0:00:24.349689  START: 02:48:40.029108  END: 02:49:04.378797 2021-01-05
* REASONING H5,H6: 6..
* DIS # H6: 6 # H1: 2,5 => CTR => H1: 1,3
* DIS # H6: 6 + H1: 1,3 # G5: 5,8 => CTR => G5: 9
* DIS # H6: 6 + H1: 1,3 + G5: 9 # H3: 1,3 => CTR => H3: 2,7
* DIS # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 # I2: 2,5 => CTR => I2: 8
* DIS # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 # A3: 1,2 => CTR => A3: 6
* DIS # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 + A3: 6 # A7: 5,8 => CTR => A7: 1,2
* DIS # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 + A3: 6 + A7: 1,2 # B6: 9 => CTR => B6: 1,2
* PRF # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 + A3: 6 + A7: 1,2 + B6: 1,2 # B2: 2,3 => SOL
* STA # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 + A3: 6 + A7: 1,2 + B6: 1,2 + B2: 2,3
* CNT   8 HDP CHAINS /  28 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

974839;13_03;GP;24;11.30;9.90;9.90

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H5,H6: 6..:

* DIS # H6: 6 # H1: 2,5 => CTR => H1: 1,3
* INC # H6: 6 + H1: 1,3 # I2: 2,5 => UNS
* INC # H6: 6 + H1: 1,3 # I2: 2,5 => UNS
* INC # H6: 6 + H1: 1,3 # I2: 8 => UNS
* INC # H6: 6 + H1: 1,3 # E1: 2,5 => UNS
* INC # H6: 6 + H1: 1,3 # E1: 3,4 => UNS
* INC # H6: 6 + H1: 1,3 # I7: 2,5 => UNS
* INC # H6: 6 + H1: 1,3 # I7: 8 => UNS
* INC # H6: 6 + H1: 1,3 # B6: 1,2 => UNS
* INC # H6: 6 + H1: 1,3 # B6: 9 => UNS
* INC # H6: 6 + H1: 1,3 # A3: 1,2 => UNS
* INC # H6: 6 + H1: 1,3 # A7: 1,2 => UNS
* INC # H6: 6 + H1: 1,3 # H4: 5,8 => UNS
* DIS # H6: 6 + H1: 1,3 # G5: 5,8 => CTR => G5: 9
* DIS # H6: 6 + H1: 1,3 + G5: 9 # H3: 1,3 => CTR => H3: 2,7
* DIS # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 # I2: 2,5 => CTR => I2: 8
* INC # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 # E1: 2,5 => UNS
* INC # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 # E1: 4 => UNS
* INC # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 # B6: 1,2 => UNS
* INC # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 # B6: 9 => UNS
* DIS # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 # A3: 1,2 => CTR => A3: 6
* INC # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 + A3: 6 # A7: 1,2 => UNS
* INC # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 + A3: 6 # A7: 1,2 => UNS
* DIS # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 + A3: 6 # A7: 5,8 => CTR => A7: 1,2
* INC # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 + A3: 6 + A7: 1,2 # B6: 1,2 => UNS
* DIS # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 + A3: 6 + A7: 1,2 # B6: 9 => CTR => B6: 1,2
* PRF # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 + A3: 6 + A7: 1,2 + B6: 1,2 # B2: 2,3 => SOL
* STA # H6: 6 + H1: 1,3 + G5: 9 + H3: 2,7 + I2: 8 + A3: 6 + A7: 1,2 + B6: 1,2 + B2: 2,3
* CNT  27 HDP CHAINS /  28 HYP OPENED