Analysis of xx-ph-00001726-H340-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6...5.9....4....7.5..3..8...3..8.........2..1.9..6.3....1.....4.....7.2. initial

Autosolve

position: 98.7.....6...5.9....4....7.5..3..8...3..8.........2.31.9..6.3....1.....4.....7.2. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

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 E4,E6: 7..:

* DIS # E6: 7 # B4: 4,6 => CTR => B4: 1,2,7
* CNT   1 HDP CHAINS /  21 HYP OPENED

List of important HDP chains detected for B2,C2: 7..:

* DIS # B2: 7 # B4: 4,6 => CTR => B4: 1,2
* CNT   1 HDP CHAINS /  29 HYP OPENED

List of important HDP chains detected for C1,B3: 5..:

* DIS # B3: 5 # B4: 4,6 => CTR => B4: 1,2,7
* DIS # C1: 5 # D3: 1,2 => CTR => D3: 6,8,9
* DIS # C1: 5 + D3: 6,8,9 # G3: 1,2 => CTR => G3: 5,6
* PRF # C1: 5 + D3: 6,8,9 + G3: 5,6 # B2: 1,2 => SOL
* STA # C1: 5 + D3: 6,8,9 + G3: 5,6 + B2: 1,2
* CNT   4 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...5.9....4....7.5..3..8...3..8.........2..1.9..6.3....1.....4.....7.2. initial
98.7.....6...5.9....4....7.5..3..8...3..8.........2.31.9..6.3....1.....4.....7.2. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B4,A5: 1.. / B4 = 1  =>  2 pairs (_) / A5 = 1  =>  1 pairs (_)
H7,G9: 1.. / H7 = 1  =>  2 pairs (_) / G9 = 1  =>  1 pairs (_)
A3,A5: 1.. / A3 = 1  =>  2 pairs (_) / A5 = 1  =>  1 pairs (_)
C1,B3: 5.. / C1 = 5  =>  1 pairs (_) / B3 = 5  =>  2 pairs (_)
D6,G6: 5.. / D6 = 5  =>  0 pairs (_) / G6 = 5  =>  2 pairs (_)
B2,C2: 7.. / B2 = 7  =>  2 pairs (_) / C2 = 7  =>  1 pairs (_)
E4,E6: 7.. / E4 = 7  =>  1 pairs (_) / E6 = 7  =>  2 pairs (_)
I7,G8: 7.. / I7 = 7  =>  1 pairs (_) / G8 = 7  =>  1 pairs (_)
A6,C6: 8.. / A6 = 8  =>  1 pairs (_) / C6 = 8  =>  1 pairs (_)
H8,I9: 9.. / H8 = 9  =>  2 pairs (_) / I9 = 9  =>  0 pairs (_)
* DURATION: 0:00:05.766066  START: 21:15:05.076112  END: 21:15:10.842178 2020-11-30
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E4,E6: 7.. / E4 = 7 ==>  1 pairs (_) / E6 = 7 ==>  2 pairs (_)
B2,C2: 7.. / B2 = 7 ==>  3 pairs (_) / C2 = 7 ==>  1 pairs (_)
C1,B3: 5.. / C1 = 5 ==>  0 pairs (*) / B3 = 5 ==>  2 pairs (_)
* DURATION: 0:00:38.924738  START: 21:15:10.842987  END: 21:15:49.767725 2020-11-30
* REASONING E4,E6: 7..
* DIS # E6: 7 # B4: 4,6 => CTR => B4: 1,2,7
* CNT   1 HDP CHAINS /  21 HYP OPENED
* REASONING B2,C2: 7..
* DIS # B2: 7 # B4: 4,6 => CTR => B4: 1,2
* CNT   1 HDP CHAINS /  29 HYP OPENED
* REASONING C1,B3: 5..
* DIS # B3: 5 # B4: 4,6 => CTR => B4: 1,2,7
* DIS # C1: 5 # D3: 1,2 => CTR => D3: 6,8,9
* DIS # C1: 5 + D3: 6,8,9 # G3: 1,2 => CTR => G3: 5,6
* PRF # C1: 5 + D3: 6,8,9 + G3: 5,6 # B2: 1,2 => SOL
* STA # C1: 5 + D3: 6,8,9 + G3: 5,6 + B2: 1,2
* CNT   4 HDP CHAINS /  28 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

1726;H340;GP;22;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E4,E6: 7..:

* INC # E6: 7 # A7: 4,8 => UNS
* INC # E6: 7 # A9: 4,8 => UNS
* DIS # E6: 7 # B4: 4,6 => CTR => B4: 1,2,7
* INC # E6: 7 + B4: 1,2,7 # D6: 4,6 => UNS
* INC # E6: 7 + B4: 1,2,7 # G6: 4,6 => UNS
* INC # E6: 7 + B4: 1,2,7 # B9: 4,6 => UNS
* INC # E6: 7 + B4: 1,2,7 # B9: 5 => UNS
* INC # E6: 7 + B4: 1,2,7 # A7: 4,8 => UNS
* INC # E6: 7 + B4: 1,2,7 # A9: 4,8 => UNS
* INC # E6: 7 + B4: 1,2,7 # D6: 4,6 => UNS
* INC # E6: 7 + B4: 1,2,7 # G6: 4,6 => UNS
* INC # E6: 7 + B4: 1,2,7 # B9: 4,6 => UNS
* INC # E6: 7 + B4: 1,2,7 # B9: 5 => UNS
* INC # E6: 7 + B4: 1,2,7 => UNS
* INC # E4: 7 # F4: 4,9 => UNS
* INC # E4: 7 # D5: 4,9 => UNS
* INC # E4: 7 # F5: 4,9 => UNS
* INC # E4: 7 # D6: 4,9 => UNS
* INC # E4: 7 # E9: 4,9 => UNS
* INC # E4: 7 # E9: 1,3 => UNS
* INC # E4: 7 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for B2,C2: 7..:

* INC # B2: 7 # C1: 2,3 => UNS
* INC # B2: 7 # A3: 2,3 => UNS
* INC # B2: 7 # I2: 2,3 => UNS
* INC # B2: 7 # I2: 8 => UNS
* DIS # B2: 7 # B4: 4,6 => CTR => B4: 1,2
* INC # B2: 7 + B4: 1,2 # D6: 4,6 => UNS
* INC # B2: 7 + B4: 1,2 # G6: 4,6 => UNS
* INC # B2: 7 + B4: 1,2 # B9: 4,6 => UNS
* INC # B2: 7 + B4: 1,2 # B9: 5 => UNS
* INC # B2: 7 + B4: 1,2 # C1: 2,3 => UNS
* INC # B2: 7 + B4: 1,2 # A3: 2,3 => UNS
* INC # B2: 7 + B4: 1,2 # I2: 2,3 => UNS
* INC # B2: 7 + B4: 1,2 # I2: 8 => UNS
* INC # B2: 7 + B4: 1,2 # A5: 1,2 => UNS
* INC # B2: 7 + B4: 1,2 # A5: 4,7 => UNS
* INC # B2: 7 + B4: 1,2 # B3: 1,2 => UNS
* INC # B2: 7 + B4: 1,2 # B3: 5 => UNS
* INC # B2: 7 + B4: 1,2 # D6: 4,6 => UNS
* INC # B2: 7 + B4: 1,2 # G6: 4,6 => UNS
* INC # B2: 7 + B4: 1,2 # B9: 4,6 => UNS
* INC # B2: 7 + B4: 1,2 # B9: 5 => UNS
* INC # B2: 7 + B4: 1,2 => UNS
* INC # C2: 7 # A3: 1,2 => UNS
* INC # C2: 7 # B3: 1,2 => UNS
* INC # C2: 7 # D2: 1,2 => UNS
* INC # C2: 7 # D2: 4,8 => UNS
* INC # C2: 7 # B4: 1,2 => UNS
* INC # C2: 7 # B4: 4,6,7 => UNS
* INC # C2: 7 => UNS
* CNT  29 HDP CHAINS /  29 HYP OPENED

Full list of HDP chains traversed for C1,B3: 5..:

* INC # B3: 5 # C2: 2,3 => UNS
* INC # B3: 5 # A3: 2,3 => UNS
* INC # B3: 5 # E1: 2,3 => UNS
* INC # B3: 5 # I1: 2,3 => UNS
* DIS # B3: 5 # B4: 4,6 => CTR => B4: 1,2,7
* INC # B3: 5 + B4: 1,2,7 # B6: 4,6 => UNS
* INC # B3: 5 + B4: 1,2,7 # B6: 4,6 => UNS
* INC # B3: 5 + B4: 1,2,7 # B6: 7 => UNS
* INC # B3: 5 + B4: 1,2,7 # B6: 4,6 => UNS
* INC # B3: 5 + B4: 1,2,7 # B6: 7 => UNS
* INC # B3: 5 + B4: 1,2,7 # C2: 2,3 => UNS
* INC # B3: 5 + B4: 1,2,7 # A3: 2,3 => UNS
* INC # B3: 5 + B4: 1,2,7 # E1: 2,3 => UNS
* INC # B3: 5 + B4: 1,2,7 # I1: 2,3 => UNS
* INC # B3: 5 + B4: 1,2,7 # B6: 4,6 => UNS
* INC # B3: 5 + B4: 1,2,7 # B6: 7 => UNS
* INC # B3: 5 + B4: 1,2,7 => UNS
* INC # C1: 5 # B2: 1,2 => UNS
* INC # C1: 5 # A3: 1,2 => UNS
* DIS # C1: 5 # D3: 1,2 => CTR => D3: 6,8,9
* INC # C1: 5 + D3: 6,8,9 # E3: 1,2 => UNS
* DIS # C1: 5 + D3: 6,8,9 # G3: 1,2 => CTR => G3: 5,6
* INC # C1: 5 + D3: 6,8,9 + G3: 5,6 # E3: 1,2 => UNS
* INC # C1: 5 + D3: 6,8,9 + G3: 5,6 # E3: 3,9 => UNS
* INC # C1: 5 + D3: 6,8,9 + G3: 5,6 # B4: 1,2 => UNS
* INC # C1: 5 + D3: 6,8,9 + G3: 5,6 # B4: 4,6,7 => UNS
* PRF # C1: 5 + D3: 6,8,9 + G3: 5,6 # B2: 1,2 => SOL
* STA # C1: 5 + D3: 6,8,9 + G3: 5,6 + B2: 1,2
* CNT  27 HDP CHAINS /  28 HYP OPENED