Analysis of xx-ph-00248039-12_12_03-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1.....2.3.....4.5.6..5...6.7..6.1.4...8.....9...745.....9..78...8....3... initial

Autosolve

position: ........1.....2.3.....4.5.6..5...6.7..6.1.4...8.....9...745.....9..78...8....3... 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: 0:00:03.809347

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000015

List of important HDP chains detected for H4,G6: 1..:

* DIS # G6: 1 # H5: 2,8 => CTR => H5: 5
* DIS # G6: 1 + H5: 5 # H7: 2,8 => CTR => H7: 1,6
* PRF # G6: 1 + H5: 5 + H7: 1,6 # G7: 2,3 => SOL
* STA # G6: 1 + H5: 5 + H7: 1,6 + G7: 2,3
* CNT   3 HDP CHAINS /  19 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..5...6.7..6.1.4...8.....9...745.....9..78...8....3... initial
........1.....2.3.....4.5.6..5...6.7..6.1.4...8.....9...745.....9..78...8....3... autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (1)
F4: 4,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H4,G6: 1.. / H4 = 1  =>  2 pairs (_) / G6 = 1  =>  3 pairs (_)
F3,F7: 1.. / F3 = 1  =>  2 pairs (_) / F7 = 1  =>  3 pairs (_)
H1,I2: 4.. / H1 = 4  =>  2 pairs (_) / I2 = 4  =>  1 pairs (_)
F4,F6: 4.. / F4 = 4  =>  0 pairs (_) / F6 = 4  =>  3 pairs (_)
A8,B9: 5.. / A8 = 5  =>  1 pairs (_) / B9 = 5  =>  1 pairs (_)
G9,H9: 7.. / G9 = 7  =>  2 pairs (_) / H9 = 7  =>  2 pairs (_)
A4,A5: 9.. / A4 = 9  =>  0 pairs (_) / A5 = 9  =>  2 pairs (_)
* DURATION: 0:00:04.526793  START: 04:44:50.080652  END: 04:44:54.607445 2020-09-23
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F3,F7: 1.. / F3 = 1 ==>  2 pairs (_) / F7 = 1 ==>  3 pairs (_)
H4,G6: 1.. / H4 = 1  =>  0 pairs (X) / G6 = 1 ==>  0 pairs (*)
* DURATION: 0:00:24.025565  START: 04:45:00.379822  END: 04:45:24.405387 2020-09-23
* REASONING H4,G6: 1..
* DIS # G6: 1 # H5: 2,8 => CTR => H5: 5
* DIS # G6: 1 + H5: 5 # H7: 2,8 => CTR => H7: 1,6
* PRF # G6: 1 + H5: 5 + H7: 1,6 # G7: 2,3 => SOL
* STA # G6: 1 + H5: 5 + H7: 1,6 + G7: 2,3
* CNT   3 HDP CHAINS /  19 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

248039;12_12_03;dob;22;11.60;11.60;2.60

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # A4: 4,9 => UNS
* INC # A4: 1,2,3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # A4: 4,9 => UNS
* INC # A4: 1,2,3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # A4: 4,9 => UNS
* INC # A4: 1,2,3 => UNS
* INC # A4: 4,9 => UNS
* INC # A4: 1,2,3 # D5: 5,7 => UNS
* INC # A4: 1,2,3 # D6: 5,7 => UNS
* INC # A4: 1,2,3 # F6: 5,7 => UNS
* INC # A4: 1,2,3 # F1: 5,7 => UNS
* INC # A4: 1,2,3 # F1: 6,9 => UNS
* INC # A4: 1,2,3 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F3,F7: 1..:

* INC # F7: 1 # D1: 7,9 => UNS
* INC # F7: 1 # F1: 7,9 => UNS
* INC # F7: 1 # D2: 7,9 => UNS
* INC # F7: 1 # D3: 7,9 => UNS
* INC # F7: 1 # F5: 7,9 => UNS
* INC # F7: 1 # F5: 5 => UNS
* INC # F7: 1 # A4: 4,9 => UNS
* INC # F7: 1 # A4: 1,2,3 => UNS
* INC # F7: 1 # D9: 2,6 => UNS
* INC # F7: 1 # E9: 2,6 => UNS
* INC # F7: 1 # A8: 2,6 => UNS
* INC # F7: 1 # H8: 2,6 => UNS
* INC # F7: 1 # D6: 2,6 => UNS
* INC # F7: 1 # D6: 3,5,7 => UNS
* INC # F7: 1 => UNS
* INC # F3: 1 # A4: 4,9 => UNS
* INC # F3: 1 # A4: 1,2,3 => UNS
* INC # F3: 1 # D9: 6,9 => UNS
* INC # F3: 1 # E9: 6,9 => UNS
* INC # F3: 1 # F1: 6,9 => UNS
* INC # F3: 1 # F1: 5,7 => UNS
* INC # F3: 1 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for H4,G6: 1..:

* INC # G6: 1 # A4: 4,9 => UNS
* INC # G6: 1 # A4: 1,2,3 => UNS
* DIS # G6: 1 # H5: 2,8 => CTR => H5: 5
* INC # G6: 1 + H5: 5 # I5: 2,8 => UNS
* INC # G6: 1 + H5: 5 # I5: 2,8 => UNS
* INC # G6: 1 + H5: 5 # I5: 3 => UNS
* INC # G6: 1 + H5: 5 # D4: 2,8 => UNS
* INC # G6: 1 + H5: 5 # E4: 2,8 => UNS
* INC # G6: 1 + H5: 5 # H1: 2,8 => UNS
* INC # G6: 1 + H5: 5 # H3: 2,8 => UNS
* DIS # G6: 1 + H5: 5 # H7: 2,8 => CTR => H7: 1,6
* INC # G6: 1 + H5: 5 + H7: 1,6 # I5: 2,8 => UNS
* INC # G6: 1 + H5: 5 + H7: 1,6 # I5: 3 => UNS
* INC # G6: 1 + H5: 5 + H7: 1,6 # D4: 2,8 => UNS
* INC # G6: 1 + H5: 5 + H7: 1,6 # E4: 2,8 => UNS
* INC # G6: 1 + H5: 5 + H7: 1,6 # H1: 2,8 => UNS
* INC # G6: 1 + H5: 5 + H7: 1,6 # H3: 2,8 => UNS
* PRF # G6: 1 + H5: 5 + H7: 1,6 # G7: 2,3 => SOL
* STA # G6: 1 + H5: 5 + H7: 1,6 + G7: 2,3
* CNT  18 HDP CHAINS /  19 HYP OPENED