Analysis of xx-ph-00001143-L106-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .23....8...6...13.7.......5........4...8..36.....45.....16.82.....1.....9...74... initial

Autosolve

position: .23....8...6...13.7.......5........4...8..36.....45.....16.82.....1.....9...74... 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: 0:00:04.636603

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: 0:00:00.000021

List of important HDP chains detected for I2,H3: 2..:

* PRF # I2: 2 # D2: 7,9 => SOL
* STA # I2: 2 + D2: 7,9
* 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

.23....8...6...13.7.......5........4...8..36.....45.....16.82.....1.....9...74... initial
.23....8...6...13.7.......5........4...8..36.....45.....16.82.....1.....9...74... autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (1)
H9: 1,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A1,B3: 1.. / A1 = 1  =>  1 pairs (_) / B3 = 1  =>  2 pairs (_)
H9,I9: 1.. / H9 = 1  =>  0 pairs (_) / I9 = 1  =>  3 pairs (_)
I2,H3: 2.. / I2 = 2  =>  3 pairs (_) / H3 = 2  =>  2 pairs (_)
C9,D9: 2.. / C9 = 2  =>  2 pairs (_) / D9 = 2  =>  3 pairs (_)
G4,H4: 5.. / G4 = 5  =>  2 pairs (_) / H4 = 5  =>  0 pairs (_)
A6,B6: 6.. / A6 = 6  =>  1 pairs (_) / B6 = 6  =>  1 pairs (_)
E4,F4: 6.. / E4 = 6  =>  1 pairs (_) / F4 = 6  =>  1 pairs (_)
A6,A8: 6.. / A6 = 6  =>  1 pairs (_) / A8 = 6  =>  1 pairs (_)
E2,E3: 8.. / E2 = 8  =>  2 pairs (_) / E3 = 8  =>  2 pairs (_)
* DURATION: 0:00:07.173077  START: 15:34:50.726668  END: 15:34:57.899745 2020-11-25
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C9,D9: 2.. / C9 = 2 ==>  2 pairs (_) / D9 = 2 ==>  3 pairs (_)
I2,H3: 2.. / I2 = 2 ==>  0 pairs (*) / H3 = 2  =>  0 pairs (X)
* DURATION: 0:00:21.849213  START: 15:35:04.854066  END: 15:35:26.703279 2020-11-25
* REASONING I2,H3: 2..
* PRF # I2: 2 # D2: 7,9 => SOL
* STA # I2: 2 + D2: 7,9
* CNT   1 HDP CHAINS /   2 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

1143;L106;elev;22;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # H4: 1,5 => UNS
* INC # H4: 2,7,9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # H4: 1,5 => UNS
* INC # H4: 2,7,9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # H4: 1,5 => UNS
* INC # H4: 2,7,9 => UNS
* INC # H4: 1,5 => UNS
* INC # H4: 2,7,9 # G8: 6,8 => UNS
* INC # H4: 2,7,9 # I8: 6,8 => UNS
* INC # H4: 2,7,9 # I9: 6,8 => UNS
* INC # H4: 2,7,9 # B9: 6,8 => UNS
* INC # H4: 2,7,9 # B9: 3,5 => UNS
* INC # H4: 2,7,9 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C9,D9: 2..:

* INC # D9: 2 # A8: 5,8 => UNS
* INC # D9: 2 # B8: 5,8 => UNS
* INC # D9: 2 # C8: 5,8 => UNS
* INC # D9: 2 # B9: 5,8 => UNS
* INC # D9: 2 # G9: 5,8 => UNS
* INC # D9: 2 # G9: 6 => UNS
* INC # D9: 2 # E7: 3,9 => UNS
* INC # D9: 2 # E8: 3,9 => UNS
* INC # D9: 2 # I8: 3,9 => UNS
* INC # D9: 2 # I8: 6,7,8 => UNS
* INC # D9: 2 # F3: 3,9 => UNS
* INC # D9: 2 # F4: 3,9 => UNS
* INC # D9: 2 # H4: 1,5 => UNS
* INC # D9: 2 # H4: 2,7,9 => UNS
* INC # D9: 2 => UNS
* INC # C9: 2 # E7: 3,5 => UNS
* INC # C9: 2 # E8: 3,5 => UNS
* INC # C9: 2 # B9: 3,5 => UNS
* INC # C9: 2 # B9: 6,8 => UNS
* INC # C9: 2 # H4: 1,5 => UNS
* INC # C9: 2 # H4: 2,7,9 => UNS
* INC # C9: 2 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for I2,H3: 2..:

* PRF # I2: 2 # D2: 7,9 => SOL
* STA # I2: 2 + D2: 7,9
* CNT   1 HDP CHAINS /   2 HYP OPENED