Analysis of xx-ph-00733482-12_12_19-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1.....2.3...3.4.5....4.637...8..5.3..9..8...6...5......37...56..64..3.... initial

Autosolve

position: ...3....1...5.2.3...3.4.5....4.637...86.5.3..93.8...65..5.....337...56..64..3..5. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for F6,G6: 4..:

* DIS # G6: 4 # H1: 8,9 => CTR => H1: 2,4,7
* DIS # G6: 4 + H1: 2,4,7 # I2: 8,9 => CTR => I2: 4,6,7
* DIS # G6: 4 + H1: 2,4,7 + I2: 4,6,7 # I3: 8,9 => CTR => I3: 2,6,7
* CNT   3 HDP CHAINS /  59 HYP OPENED

List of important HDP chains detected for D3,D7: 6..:

* PRF # D3: 6 # C2: 1,9 => SOL
* STA # D3: 6 + C2: 1,9
* CNT   1 HDP CHAINS /   2 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...3.4.5....4.637...8..5.3..9..8...6...5......37...56..64..3.... initial
...3....1...5.2.3...3.4.5....4.637...86.5.3..93.8...65..5.....337...56..64..3..5. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A1,A2: 4.. / A1 = 4  =>  1 pairs (_) / A2 = 4  =>  1 pairs (_)
F6,G6: 4.. / F6 = 4  =>  1 pairs (_) / G6 = 4  =>  3 pairs (_)
A1,B1: 5.. / A1 = 5  =>  2 pairs (_) / B1 = 5  =>  1 pairs (_)
A4,B4: 5.. / A4 = 5  =>  1 pairs (_) / B4 = 5  =>  2 pairs (_)
A1,A4: 5.. / A1 = 5  =>  2 pairs (_) / A4 = 5  =>  1 pairs (_)
B1,B4: 5.. / B1 = 5  =>  1 pairs (_) / B4 = 5  =>  2 pairs (_)
I2,I3: 6.. / I2 = 6  =>  1 pairs (_) / I3 = 6  =>  0 pairs (_)
D7,F7: 6.. / D7 = 6  =>  0 pairs (_) / F7 = 6  =>  3 pairs (_)
B1,F1: 6.. / B1 = 6  =>  3 pairs (_) / F1 = 6  =>  0 pairs (_)
B2,I2: 6.. / B2 = 6  =>  0 pairs (_) / I2 = 6  =>  1 pairs (_)
D3,D7: 6.. / D3 = 6  =>  3 pairs (_) / D7 = 6  =>  0 pairs (_)
A5,C6: 7.. / A5 = 7  =>  1 pairs (_) / C6 = 7  =>  3 pairs (_)
H7,I9: 7.. / H7 = 7  =>  2 pairs (_) / I9 = 7  =>  0 pairs (_)
H4,I4: 8.. / H4 = 8  =>  1 pairs (_) / I4 = 8  =>  0 pairs (_)
* DURATION: 0:00:10.110123  START: 17:06:01.376888  END: 17:06:11.487011 2020-10-02
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A5,C6: 7.. / A5 = 7 ==>  1 pairs (_) / C6 = 7 ==>  3 pairs (_)
F6,G6: 4.. / F6 = 4 ==>  1 pairs (_) / G6 = 4 ==>  3 pairs (_)
D3,D7: 6.. / D3 = 6 ==>  0 pairs (*) / D7 = 6  =>  0 pairs (X)
* DURATION: 0:00:51.282513  START: 17:06:11.487538  END: 17:07:02.770051 2020-10-02
* REASONING F6,G6: 4..
* DIS # G6: 4 # H1: 8,9 => CTR => H1: 2,4,7
* DIS # G6: 4 + H1: 2,4,7 # I2: 8,9 => CTR => I2: 4,6,7
* DIS # G6: 4 + H1: 2,4,7 + I2: 4,6,7 # I3: 8,9 => CTR => I3: 2,6,7
* CNT   3 HDP CHAINS /  59 HYP OPENED
* REASONING D3,D7: 6..
* PRF # D3: 6 # C2: 1,9 => SOL
* STA # D3: 6 + C2: 1,9
* CNT   1 HDP CHAINS /   2 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

733482;12_12_19;dob;24;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A5,C6: 7..:

* INC # C6: 7 # A4: 1,2 => UNS
* INC # C6: 7 # B4: 1,2 => UNS
* INC # C6: 7 # D5: 1,2 => UNS
* INC # C6: 7 # H5: 1,2 => UNS
* INC # C6: 7 # A3: 1,2 => UNS
* INC # C6: 7 # A7: 1,2 => UNS
* INC # C6: 7 # D4: 1,2 => UNS
* INC # C6: 7 # D5: 1,2 => UNS
* INC # C6: 7 # G6: 1,2 => UNS
* INC # C6: 7 # G6: 4 => UNS
* INC # C6: 7 # E7: 1,2 => UNS
* INC # C6: 7 # E8: 1,2 => UNS
* INC # C6: 7 # D5: 1,4 => UNS
* INC # C6: 7 # F5: 1,4 => UNS
* INC # C6: 7 # G6: 1,4 => UNS
* INC # C6: 7 # G6: 2 => UNS
* INC # C6: 7 # F7: 1,4 => UNS
* INC # C6: 7 # F7: 6,7,8,9 => UNS
* INC # C6: 7 => UNS
* INC # A5: 7 # A4: 1,2 => UNS
* INC # A5: 7 # B4: 1,2 => UNS
* INC # A5: 7 # E6: 1,2 => UNS
* INC # A5: 7 # G6: 1,2 => UNS
* INC # A5: 7 # C8: 1,2 => UNS
* INC # A5: 7 # C9: 1,2 => UNS
* INC # A5: 7 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for F6,G6: 4..:

* INC # G6: 4 # G1: 8,9 => UNS
* DIS # G6: 4 # H1: 8,9 => CTR => H1: 2,4,7
* DIS # G6: 4 + H1: 2,4,7 # I2: 8,9 => CTR => I2: 4,6,7
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 # H3: 8,9 => UNS
* DIS # G6: 4 + H1: 2,4,7 + I2: 4,6,7 # I3: 8,9 => CTR => I3: 2,6,7
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # C2: 8,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # E2: 8,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # G7: 8,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # G9: 8,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # G1: 8,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # H3: 8,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # C2: 8,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # E2: 8,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # G7: 8,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # G9: 8,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # D5: 1,7 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # F5: 1,7 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # E6: 1,7 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # C6: 1,7 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # C6: 2 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # F3: 1,7 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # F7: 1,7 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # F9: 1,7 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # H4: 2,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # I4: 2,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # H5: 2,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # D5: 2,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # D5: 1,4,7 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # I8: 2,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # I9: 2,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # G1: 8,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # H3: 8,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # C2: 8,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # E2: 8,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # G7: 8,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # G9: 8,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # D5: 1,7 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # F5: 1,7 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # E6: 1,7 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # C6: 1,7 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # C6: 2 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # F3: 1,7 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # F7: 1,7 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # F9: 1,7 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # H4: 2,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # I4: 2,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # H5: 2,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # D5: 2,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # D5: 1,4,7 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # I8: 2,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 # I9: 2,9 => UNS
* INC # G6: 4 + H1: 2,4,7 + I2: 4,6,7 + I3: 2,6,7 => UNS
* INC # F6: 4 # H4: 1,2 => UNS
* INC # F6: 4 # H5: 1,2 => UNS
* INC # F6: 4 # C6: 1,2 => UNS
* INC # F6: 4 # E6: 1,2 => UNS
* INC # F6: 4 # G7: 1,2 => UNS
* INC # F6: 4 # G9: 1,2 => UNS
* INC # F6: 4 => UNS
* CNT  59 HDP CHAINS /  59 HYP OPENED

Full list of HDP chains traversed for D3,D7: 6..:

* PRF # D3: 6 # C2: 1,9 => SOL
* STA # D3: 6 + C2: 1,9
* CNT   1 HDP CHAINS /   2 HYP OPENED