Analysis of xx-ph-00248063-12_12_03-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
Details
Solution
Appendix: Full HDP Chains

Original Sudoku

level: hard

position: ..............1..2.13.2..4.....3.5...326...1.7..........6.4...8.24..3.6.9..26.... initial

Autosolve

position: 2.............1..2.13.2..4.....3.5...326...1.7........3.6.4...8.24..3.6.9..26.... autosolve

Pair Reduction Variants

Pair Reduction Analysis

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

Pair Reduction

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

Deep Pair Reduction

Time used: 0:00:25.399445

The following important HDP chains were detected:

* PRF # D7: 5,7 # B4: 8,9 => SOL
* STA # D7: 5,7 + B4: 8,9
* CNT   1 HDP CHAINS /  44 HYP OPENED

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

Details

Positions

`..............1..2.13.2..4.....3.5...326...1.7..........6.4...8.24..3.6.9..26....`	initial
`2.............1..2.13.2..4.....3.5...326...1.7........3.6.4...8.24..3.6.9..26....`	autosolve
`257384691649751382813926745198432576432675819765198234376549128524813967981267453`	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
B7: 5,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G1,I1: 1.. / G1 = 1  =>  2 pairs (_) / I1 = 1  =>  1 pairs (_)
A8,C9: 1.. / A8 = 1  =>  5 pairs (_) / C9 = 1  =>  3 pairs (_)
D7,G7: 1.. / D7 = 1  =>  1 pairs (_) / G7 = 1  =>  4 pairs (_)
A4,A8: 1.. / A4 = 1  =>  3 pairs (_) / A8 = 1  =>  5 pairs (_)
E6,E8: 1.. / E6 = 1  =>  1 pairs (_) / E8 = 1  =>  4 pairs (_)
F4,F6: 2.. / F4 = 2  =>  1 pairs (_) / F6 = 2  =>  1 pairs (_)
G7,H7: 2.. / G7 = 2  =>  1 pairs (_) / H7 = 2  =>  1 pairs (_)
F4,H4: 2.. / F4 = 2  =>  1 pairs (_) / H4 = 2  =>  1 pairs (_)
G6,G7: 2.. / G6 = 2  =>  1 pairs (_) / G7 = 2  =>  1 pairs (_)
D1,D2: 3.. / D1 = 3  =>  1 pairs (_) / D2 = 3  =>  1 pairs (_)
G9,I9: 4.. / G9 = 4  =>  1 pairs (_) / I9 = 4  =>  2 pairs (_)
F1,F3: 6.. / F1 = 6  =>  3 pairs (_) / F3 = 6  =>  2 pairs (_)
* DURATION: 0:00:08.764939  START: 19:46:44.985750  END: 19:46:53.750689 2020-12-23
* CP COUNT: (12)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:25.173744  START: 19:47:00.150522  END: 19:47:25.324266 2020-12-23
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00248063-12_12_03-base-pr-002.dot
* REASONING
* PRF # D7: 5,7 # B4: 8,9 => SOL
* STA # D7: 5,7 + B4: 8,9
* CNT   1 HDP CHAINS /  44 HYP OPENED

Header Info

248063;12_12_03;dob;23;11.30;1.20;1.20

Solution

position: 257384691649751382813926745198432576432675819765198234376549128524813967981267453 solved

See section Deep Pair Reduction for the HDP chains leading to this result.

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # B9: 5,7 => UNS
* INC # C9: 5,7 => UNS
* INC # D7: 5,7 => UNS
* INC # F7: 5,7 => UNS
* INC # H7: 5,7 => UNS
* INC # B1: 5,7 => UNS
* INC # B2: 5,7 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # B9: 5,7 => UNS
* INC # C9: 5,7 => UNS
* INC # D7: 5,7 => UNS
* INC # F7: 5,7 => UNS
* INC # H7: 5,7 => UNS
* INC # B1: 5,7 => UNS
* INC # B2: 5,7 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # B9: 5,7 => UNS
* INC # C9: 5,7 => UNS
* INC # D7: 5,7 => UNS
* INC # F7: 5,7 => UNS
* INC # H7: 5,7 => UNS
* INC # B1: 5,7 => UNS
* INC # B2: 5,7 => UNS
* INC # B9: 5,7 # D7: 5,7 => UNS
* INC # B9: 5,7 # F7: 5,7 => UNS
* INC # B9: 5,7 # H7: 5,7 => UNS
* INC # B9: 5,7 # D8: 1,8 => UNS
* INC # B9: 5,7 # E8: 1,8 => UNS
* INC # B9: 5,7 # A4: 1,8 => UNS
* INC # B9: 5,7 # A4: 4,6 => UNS
* INC # B9: 5,7 # F9: 5,7 => UNS
* INC # B9: 5,7 # H9: 5,7 => UNS
* INC # B9: 5,7 # I9: 5,7 => UNS
* INC # B9: 5,7 # C4: 1,8 => UNS
* INC # B9: 5,7 # C6: 1,8 => UNS
* INC # B9: 5,7 => UNS
* INC # C9: 5,7 # F7: 5,7 => UNS
* INC # C9: 5,7 # H7: 5,7 => UNS
* INC # C9: 5,7 # B1: 5,7 => UNS
* INC # C9: 5,7 # B2: 5,7 => UNS
* INC # C9: 5,7 # C1: 5,7 => UNS
* INC # C9: 5,7 # C2: 5,7 => UNS
* INC # C9: 5,7 # F7: 5,7 => UNS
* INC # C9: 5,7 # D8: 5,7 => UNS
* INC # C9: 5,7 # E8: 5,7 => UNS
* INC # C9: 5,7 # F1: 5,7 => UNS
* INC # C9: 5,7 # F3: 5,7 => UNS
* INC # C9: 5,7 # F5: 5,7 => UNS
* INC # C9: 5,7 # G7: 7,9 => UNS
* INC # C9: 5,7 # H7: 7,9 => UNS
* INC # C9: 5,7 # I8: 7,9 => UNS
* INC # C9: 5,7 # D8: 7,9 => UNS
* INC # C9: 5,7 # E8: 7,9 => UNS
* INC # C9: 5,7 # G1: 7,9 => UNS
* INC # C9: 5,7 # G2: 7,9 => UNS
* INC # C9: 5,7 # G3: 7,9 => UNS
* INC # C9: 5,7 # G5: 7,9 => UNS
* INC # C9: 5,7 => UNS
* PRF # D7: 5,7 # B4: 8,9 => SOL
* STA # D7: 5,7 + B4: 8,9
* CNT  43 HDP CHAINS /  44 HYP OPENED