Analysis of xx-ph-00032776-2012_03_13-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....75...49....39...7.8..5...3..3......2....1.6...9.8...5.....4.2..........1 initial

Autosolve

position: 98.76....75...49....39...7.8..5...3..3......2....1.6...9.8...5.....4.2..........1 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: 0:00:12.959886

The following important HDP chains were detected:

* DIS # C5: 4,6 # C9: 4,6 => CTR => C9: 2,5,7,8
* CNT   1 HDP CHAINS /  31 HYP OPENED

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000013

List of important HDP chains detected for D5,D6: 4..:

* DIS # D6: 4 # H2: 6,8 => CTR => H2: 1,2
* PRF # D6: 4 + H2: 1,2 # I3: 4,5 => SOL
* STA # D6: 4 + H2: 1,2 + I3: 4,5
* CNT   2 HDP CHAINS /   5 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...49....39...7.8..5...3..3......2....1.6...9.8...5.....4.2..........1 initial
98.76....75...49....39...7.8..5...3..3......2....1.6...9.8...5.....4.2..........1 autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (1)
D5: 4,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D2,D8: 1.. / D2 = 1  =>  3 pairs (_) / D8 = 1  =>  3 pairs (_)
H1,H2: 2.. / H1 = 2  =>  2 pairs (_) / H2 = 2  =>  5 pairs (_)
D6,F6: 3.. / D6 = 3  =>  3 pairs (_) / F6 = 3  =>  3 pairs (_)
D5,D6: 4.. / D5 = 4  =>  1 pairs (_) / D6 = 4  =>  6 pairs (_)
G5,I6: 5.. / G5 = 5  =>  1 pairs (_) / I6 = 5  =>  3 pairs (_)
E3,E9: 5.. / E3 = 5  =>  1 pairs (_) / E9 = 5  =>  2 pairs (_)
C8,C9: 8.. / C8 = 8  =>  2 pairs (_) / C9 = 8  =>  1 pairs (_)
* DURATION: 0:00:04.199384  START: 00:26:46.652173  END: 00:26:50.851557 2020-12-12
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D5,D6: 4.. / D5 = 4  =>  0 pairs (X) / D6 = 4 ==>  0 pairs (*)
* DURATION: 0:00:07.900254  START: 00:27:05.663675  END: 00:27:13.563929 2020-12-12
* REASONING D5,D6: 4..
* DIS # D6: 4 # H2: 6,8 => CTR => H2: 1,2
* PRF # D6: 4 + H2: 1,2 # I3: 4,5 => SOL
* STA # D6: 4 + H2: 1,2 + I3: 4,5
* CNT   2 HDP CHAINS /   5 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

32776;2012_03_13;GP;24;11.30;11.30;10.00

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # A5: 4,6 => UNS
* INC # C5: 4,6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # A5: 4,6 => UNS
* INC # C5: 4,6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # A5: 4,6 => UNS
* INC # C5: 4,6 => UNS
* INC # A5: 4,6 # B4: 4,6 => UNS
* INC # A5: 4,6 # C4: 4,6 => UNS
* INC # A5: 4,6 # A3: 4,6 => UNS
* INC # A5: 4,6 # A7: 4,6 => UNS
* INC # A5: 4,6 # A9: 4,6 => UNS
* INC # A5: 4,6 => UNS
* INC # C5: 4,6 # G5: 1,5 => UNS
* INC # C5: 4,6 # G5: 7,8 => UNS
* INC # C5: 4,6 # A8: 1,5 => UNS
* INC # C5: 4,6 # A8: 3,6 => UNS
* INC # C5: 4,6 # B4: 4,6 => UNS
* INC # C5: 4,6 # C4: 4,6 => UNS
* INC # C5: 4,6 # C7: 4,6 => UNS
* DIS # C5: 4,6 # C9: 4,6 => CTR => C9: 2,5,7,8
* INC # C5: 4,6 + C9: 2,5,7,8 # C7: 4,6 => UNS
* INC # C5: 4,6 + C9: 2,5,7,8 # C7: 1,2,7 => UNS
* INC # C5: 4,6 + C9: 2,5,7,8 # B4: 4,6 => UNS
* INC # C5: 4,6 + C9: 2,5,7,8 # C4: 4,6 => UNS
* INC # C5: 4,6 + C9: 2,5,7,8 # C7: 4,6 => UNS
* INC # C5: 4,6 + C9: 2,5,7,8 # C7: 1,2,7 => UNS
* INC # C5: 4,6 + C9: 2,5,7,8 # G5: 1,5 => UNS
* INC # C5: 4,6 + C9: 2,5,7,8 # G5: 7,8 => UNS
* INC # C5: 4,6 + C9: 2,5,7,8 # A8: 1,5 => UNS
* INC # C5: 4,6 + C9: 2,5,7,8 # A8: 3,6 => UNS
* INC # C5: 4,6 + C9: 2,5,7,8 # B4: 4,6 => UNS
* INC # C5: 4,6 + C9: 2,5,7,8 # C4: 4,6 => UNS
* INC # C5: 4,6 + C9: 2,5,7,8 # C7: 4,6 => UNS
* INC # C5: 4,6 + C9: 2,5,7,8 # C7: 1,2,7 => UNS
* INC # C5: 4,6 + C9: 2,5,7,8 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D5,D6: 4..:

* DIS # D6: 4 # H2: 6,8 => CTR => H2: 1,2
* INC # D6: 4 + H2: 1,2 # I3: 6,8 => UNS
* INC # D6: 4 + H2: 1,2 # I3: 6,8 => UNS
* PRF # D6: 4 + H2: 1,2 # I3: 4,5 => SOL
* STA # D6: 4 + H2: 1,2 + I3: 4,5
* CNT   4 HDP CHAINS /   5 HYP OPENED