Analysis of xx-ph-00331089-12_12_03-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1..2..3.4..5..6.7.2....1...6...7..8..5....9.2..4...5.9.2.3......9..8..... initial

Autosolve

position: ........1..2..3.4..5..6.7.2....1...6...7..8..5....9.2..4...5.9.2.3......9.58..... autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

See Appendix: Full HDP Chains for full list of HDP chains.

Pair Reduction

Pair Reduction

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:19.136013

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000018

List of important HDP chains detected for H4,I6: 7..:

* PRF # I6: 7 # H5: 3,5 => SOL
* STA # I6: 7 + H5: 3,5
* CNT   1 HDP CHAINS /   7 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..2..3.4..5..6.7.2....1...6...7..8..5....9.2..4...5.9.2.3......9..8..... initial
........1..2..3.4..5..6.7.2....1...6...7..8..5....9.2..4...5.9.2.3......9.58..... autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
H3: 3,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H5,G6: 1.. / H5 = 1  =>  2 pairs (_) / G6 = 1  =>  2 pairs (_)
B4,B5: 2.. / B4 = 2  =>  2 pairs (_) / B5 = 2  =>  2 pairs (_)
G7,G9: 2.. / G7 = 2  =>  2 pairs (_) / G9 = 2  =>  1 pairs (_)
A3,H3: 3.. / A3 = 3  =>  2 pairs (_) / H3 = 3  =>  2 pairs (_)
D4,E5: 5.. / D4 = 5  =>  3 pairs (_) / E5 = 5  =>  2 pairs (_)
F5,D6: 6.. / F5 = 6  =>  2 pairs (_) / D6 = 6  =>  2 pairs (_)
H4,I6: 7.. / H4 = 7  =>  2 pairs (_) / I6 = 7  =>  4 pairs (_)
F4,E6: 8.. / F4 = 8  =>  3 pairs (_) / E6 = 8  =>  2 pairs (_)
G4,I5: 9.. / G4 = 9  =>  3 pairs (_) / I5 = 9  =>  2 pairs (_)
D8,E8: 9.. / D8 = 9  =>  6 pairs (_) / E8 = 9  =>  1 pairs (_)
C3,D3: 9.. / C3 = 9  =>  4 pairs (_) / D3 = 9  =>  2 pairs (_)
I2,I5: 9.. / I2 = 9  =>  3 pairs (_) / I5 = 9  =>  2 pairs (_)
* DURATION: 0:00:07.389114  START: 12:34:00.733562  END: 12:34:08.122676 2020-12-25
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D8,E8: 9.. / D8 = 9 ==>  6 pairs (_) / E8 = 9 ==>  1 pairs (_)
C3,D3: 9.. / C3 = 9 ==>  4 pairs (_) / D3 = 9 ==>  2 pairs (_)
H4,I6: 7.. / H4 = 7  =>  0 pairs (X) / I6 = 7 ==>  0 pairs (*)
* DURATION: 0:00:27.675414  START: 12:34:30.327431  END: 12:34:58.002845 2020-12-25
* REASONING H4,I6: 7..
* PRF # I6: 7 # H5: 3,5 => SOL
* STA # I6: 7 + H5: 3,5
* CNT   1 HDP CHAINS /   7 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

331089;12_12_03;dob;22;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # H1: 3,8 => UNS
* INC # H1: 5,6 => UNS
* INC # A3: 3,8 => UNS
* INC # A3: 1,4 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # H1: 3,8 => UNS
* INC # H1: 5,6 => UNS
* INC # A3: 3,8 => UNS
* INC # A3: 1,4 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # H1: 3,8 => UNS
* INC # H1: 5,6 => UNS
* INC # A3: 3,8 => UNS
* INC # A3: 1,4 => UNS
* INC # H1: 3,8 # A1: 3,8 => UNS
* INC # H1: 3,8 # B1: 3,8 => UNS
* INC # H1: 3,8 # G1: 5,9 => UNS
* INC # H1: 3,8 # G2: 5,9 => UNS
* INC # H1: 3,8 # D2: 5,9 => UNS
* INC # H1: 3,8 # E2: 5,9 => UNS
* INC # H1: 3,8 # I5: 5,9 => UNS
* INC # H1: 3,8 # I5: 3,4 => UNS
* INC # H1: 3,8 # A3: 3,8 => UNS
* INC # H1: 3,8 # A3: 1,4 => UNS
* INC # H1: 3,8 # H8: 5,7 => UNS
* INC # H1: 3,8 # H8: 1,6 => UNS
* INC # H1: 3,8 # H8: 1,5 => UNS
* INC # H1: 3,8 # H8: 6,7 => UNS
* INC # H1: 3,8 => UNS
* INC # H1: 5,6 # G1: 5,6 => UNS
* INC # H1: 5,6 # G2: 5,6 => UNS
* INC # H1: 5,6 # H8: 5,6 => UNS
* INC # H1: 5,6 # H8: 1,7,8 => UNS
* INC # H1: 5,6 # A3: 3,8 => UNS
* INC # H1: 5,6 # A3: 1,4 => UNS
* INC # H1: 5,6 => UNS
* INC # A3: 3,8 # A1: 3,8 => UNS
* INC # A3: 3,8 # B1: 3,8 => UNS
* INC # A3: 3,8 # A4: 3,8 => UNS
* INC # A3: 3,8 # A4: 4,7 => UNS
* INC # A3: 3,8 # D3: 1,4 => UNS
* INC # A3: 3,8 # D3: 9 => UNS
* INC # A3: 3,8 # C3: 1,4 => UNS
* INC # A3: 3,8 # C3: 9 => UNS
* INC # A3: 3,8 # F8: 1,4 => UNS
* INC # A3: 3,8 # F9: 1,4 => UNS
* INC # A3: 3,8 # H1: 3,8 => UNS
* INC # A3: 3,8 # H1: 5,6 => UNS
* INC # A3: 3,8 => UNS
* INC # A3: 1,4 # C3: 1,4 => UNS
* INC # A3: 1,4 # C3: 8,9 => UNS
* INC # A3: 1,4 # D3: 1,4 => UNS
* INC # A3: 1,4 # F3: 1,4 => UNS
* INC # A3: 1,4 # A5: 1,4 => UNS
* INC # A3: 1,4 # A5: 3,6 => UNS
* INC # A3: 1,4 # H8: 5,7 => UNS
* INC # A3: 1,4 # H8: 1,6,8 => UNS
* INC # A3: 1,4 # H8: 1,5 => UNS
* INC # A3: 1,4 # H8: 6,7,8 => UNS
* INC # A3: 1,4 => UNS
* CNT  50 HDP CHAINS /  50 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D8,E8: 9..:

* INC # D8: 9 # F3: 1,4 => UNS
* INC # D8: 9 # F3: 8 => UNS
* INC # D8: 9 # A3: 1,4 => UNS
* INC # D8: 9 # A3: 3,8 => UNS
* INC # D8: 9 # H1: 3,8 => UNS
* INC # D8: 9 # H1: 5,6 => UNS
* INC # D8: 9 # A3: 3,8 => UNS
* INC # D8: 9 # A3: 1,4 => UNS
* INC # D8: 9 # F8: 4,7 => UNS
* INC # D8: 9 # E9: 4,7 => UNS
* INC # D8: 9 # F9: 4,7 => UNS
* INC # D8: 9 # I8: 4,7 => UNS
* INC # D8: 9 # I8: 5,8 => UNS
* INC # D8: 9 # E1: 4,7 => UNS
* INC # D8: 9 # E1: 2,5,8,9 => UNS
* INC # D8: 9 => UNS
* INC # E8: 9 # H1: 3,8 => UNS
* INC # E8: 9 # H1: 5,6 => UNS
* INC # E8: 9 # A3: 3,8 => UNS
* INC # E8: 9 # A3: 1,4 => UNS
* INC # E8: 9 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for C3,D3: 9..:

* INC # C3: 9 # F3: 1,4 => UNS
* INC # C3: 9 # F3: 8 => UNS
* INC # C3: 9 # A3: 1,4 => UNS
* INC # C3: 9 # A3: 3,8 => UNS
* INC # C3: 9 # D8: 1,4 => UNS
* INC # C3: 9 # D8: 6,9 => UNS
* INC # C3: 9 # H1: 3,8 => UNS
* INC # C3: 9 # H1: 5,6 => UNS
* INC # C3: 9 # A3: 3,8 => UNS
* INC # C3: 9 # A3: 1,4 => UNS
* INC # C3: 9 => UNS
* INC # D3: 9 # H1: 3,8 => UNS
* INC # D3: 9 # H1: 5,6 => UNS
* INC # D3: 9 # A3: 3,8 => UNS
* INC # D3: 9 # A3: 1,4 => UNS
* INC # D3: 9 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for H4,I6: 7..:

* INC # I6: 7 # H1: 3,8 => UNS
* INC # I6: 7 # H1: 5,6 => UNS
* INC # I6: 7 # A3: 3,8 => UNS
* INC # I6: 7 # A3: 1,4 => UNS
* INC # I6: 7 # G4: 3,5 => UNS
* PRF # I6: 7 # H5: 3,5 => SOL
* STA # I6: 7 + H5: 3,5
* CNT   6 HDP CHAINS /   7 HYP OPENED