Analysis of xx-ph-01055388-13_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....75....96...6......8....4.3..2..1......98..5....85..6......2..1......3..4 initial

Autosolve

position: 98.76....75....96...6......8....4.3..2..1......98..5....85..6......2..1......3..4 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: 0:00:06.398861

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000016

List of important HDP chains detected for F8,E9: 8..:

* DIS # F8: 8 # I4: 1,6,7 => CTR => I4: 2,9
* PRF # F8: 8 + I4: 2,9 # E7: 7,9 => SOL
* STA # F8: 8 + I4: 2,9 + E7: 7,9
* CNT   2 HDP CHAINS /  18 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

98.76....75....96...6......8....4.3..2..1......98..5....85..6......2..1......3..4 initial
98.76....75....96...6......8....4.3..2..1......98..5....85..6......2..1......3..4 autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (1)
E6: 3,7

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* CONSTRAINT PAIRS (AUTO SOLVE)
F7,D9: 1.. / F7 = 1  =>  4 pairs (_) / D9 = 1  =>  2 pairs (_)
D4,F6: 2.. / D4 = 2  =>  3 pairs (_) / F6 = 2  =>  5 pairs (_)
D5,E6: 3.. / D5 = 3  =>  5 pairs (_) / E6 = 3  =>  2 pairs (_)
E7,D8: 4.. / E7 = 4  =>  3 pairs (_) / D8 = 4  =>  2 pairs (_)
E4,F5: 5.. / E4 = 5  =>  2 pairs (_) / F5 = 5  =>  3 pairs (_)
I8,H9: 5.. / I8 = 5  =>  1 pairs (_) / H9 = 5  =>  2 pairs (_)
C4,E4: 5.. / C4 = 5  =>  3 pairs (_) / E4 = 5  =>  2 pairs (_)
E3,E4: 5.. / E3 = 5  =>  3 pairs (_) / E4 = 5  =>  2 pairs (_)
F8,E9: 8.. / F8 = 8  =>  6 pairs (_) / E9 = 8  =>  3 pairs (_)
* DURATION: 0:00:06.127623  START: 16:25:52.710530  END: 16:25:58.838153 2021-01-12
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F8,E9: 8.. / F8 = 8 ==>  0 pairs (*) / E9 = 8  =>  0 pairs (X)
* DURATION: 0:00:17.464725  START: 16:26:07.291284  END: 16:26:24.756009 2021-01-12
* REASONING F8,E9: 8..
* DIS # F8: 8 # I4: 1,6,7 => CTR => I4: 2,9
* PRF # F8: 8 + I4: 2,9 # E7: 7,9 => SOL
* STA # F8: 8 + I4: 2,9 + E7: 7,9
* CNT   2 HDP CHAINS /  18 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1055388;13_07;GP;24;11.30;11.30;10.10

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # B6: 3,7 => UNS
* INC # B6: 1,4,6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # B6: 3,7 => UNS
* INC # B6: 1,4,6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # B6: 3,7 => UNS
* INC # B6: 1,4,6 => UNS
* INC # B6: 3,7 # C5: 3,7 => UNS
* INC # B6: 3,7 # C5: 4,5 => UNS
* INC # B6: 3,7 # B7: 3,7 => UNS
* INC # B6: 3,7 # B8: 3,7 => UNS
* INC # B6: 3,7 # D4: 2,6 => UNS
* INC # B6: 3,7 # D4: 9 => UNS
* INC # B6: 3,7 # I6: 2,6 => UNS
* INC # B6: 3,7 # I6: 1 => UNS
* INC # B6: 3,7 # H1: 2,4 => UNS
* INC # B6: 3,7 # H3: 2,4 => UNS
* INC # B6: 3,7 => UNS
* INC # B6: 1,4,6 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F8,E9: 8..:

* INC # F8: 8 # F1: 1,2 => UNS
* INC # F8: 8 # D2: 1,2 => UNS
* INC # F8: 8 # D3: 1,2 => UNS
* INC # F8: 8 # F3: 1,2 => UNS
* INC # F8: 8 # C2: 1,2 => UNS
* INC # F8: 8 # I2: 1,2 => UNS
* INC # F8: 8 # I4: 2,9 => UNS
* DIS # F8: 8 # I4: 1,6,7 => CTR => I4: 2,9
* INC # F8: 8 + I4: 2,9 # D3: 2,9 => UNS
* INC # F8: 8 + I4: 2,9 # D3: 1,3,4 => UNS
* INC # F8: 8 + I4: 2,9 # D3: 2,9 => UNS
* INC # F8: 8 + I4: 2,9 # D3: 1,3,4 => UNS
* INC # F8: 8 + I4: 2,9 # D3: 3,9 => UNS
* INC # F8: 8 + I4: 2,9 # D3: 1,2,4 => UNS
* INC # F8: 8 + I4: 2,9 # B6: 3,7 => UNS
* INC # F8: 8 + I4: 2,9 # B6: 1,4 => UNS
* PRF # F8: 8 + I4: 2,9 # E7: 7,9 => SOL
* STA # F8: 8 + I4: 2,9 + E7: 7,9
* CNT  17 HDP CHAINS /  18 HYP OPENED