Analysis of xx-ph-00292457-12_12_03-base.sdk

Contents

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

Original Sudoku

level: hard

position: ........1..2..3.4..4..5.6......1...5...6..7..8....4.9..3...9.2.2..7.....9.8.2.... initial

Autosolve

position: ........1..2..3.4..4..5.6......1...5...6..7..8....4.9..3...9.2.2..7.....9.8.2.... 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: 0:00:10.508993

The following important HDP chains were detected:

* PRF # C6: 3,7 # B6: 2,5 => SOL
* STA # C6: 3,7 + B6: 2,5
* CNT   1 HDP CHAINS /  10 HYP OPENED

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

Details

Positions

`........1..2..3.4..4..5.6......1...5...6..7..8....4.9..3...9.2.2..7.....9.8.2....`	initial
`........1..2..3.4..4..5.6......1...5...6..7..8....4.9..3...9.2.2..7.....9.8.2....`	autosolve
`783946251652173948149852673396217485415698732827534196531469827264785319978321564`	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
E6: 3,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H5,G6: 1.. / H5 = 1  =>  2 pairs (_) / G6 = 1  =>  2 pairs (_)
G1,I3: 2.. / G1 = 2  =>  2 pairs (_) / I3 = 2  =>  2 pairs (_)
E8,D9: 3.. / E8 = 3  =>  2 pairs (_) / D9 = 3  =>  2 pairs (_)
D1,E1: 4.. / D1 = 4  =>  1 pairs (_) / E1 = 4  =>  2 pairs (_)
G4,I5: 4.. / G4 = 4  =>  1 pairs (_) / I5 = 4  =>  1 pairs (_)
F5,D6: 5.. / F5 = 5  =>  3 pairs (_) / D6 = 5  =>  2 pairs (_)
H4,I6: 6.. / H4 = 6  =>  2 pairs (_) / I6 = 6  =>  2 pairs (_)
F4,E6: 7.. / F4 = 7  =>  4 pairs (_) / E6 = 7  =>  1 pairs (_)
B1,B2: 8.. / B1 = 8  =>  1 pairs (_) / B2 = 8  =>  4 pairs (_)
D4,E5: 9.. / D4 = 9  =>  3 pairs (_) / E5 = 9  =>  1 pairs (_)
G8,I8: 9.. / G8 = 9  =>  2 pairs (_) / I8 = 9  =>  2 pairs (_)
* DURATION: 0:00:06.806064  START: 14:44:17.680782  END: 14:44:24.486846 2020-10-21
* CP COUNT: (11)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:10.415898  START: 14:44:26.249567  END: 14:44:36.665465 2020-10-21
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00292457-12_12_03-base-pr-002.dot
* REASONING
* PRF # C6: 3,7 # B6: 2,5 => SOL
* STA # C6: 3,7 + B6: 2,5
* CNT   1 HDP CHAINS /  10 HYP OPENED

Header Info

292457;12_12_03;dob;22;11.40;11.40;10.70

Solution

position: 783946251652173948149852673396217485415698732827534196531469827264785319978321564 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 # C6: 3,7 => UNS
* INC # C6: 1,5,6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # C6: 3,7 => UNS
* INC # C6: 1,5,6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # C6: 3,7 => UNS
* INC # C6: 1,5,6 => UNS
* INC # C6: 3,7 # A4: 3,7 => UNS
* INC # C6: 3,7 # C4: 3,7 => UNS
* INC # C6: 3,7 # C1: 3,7 => UNS
* INC # C6: 3,7 # C3: 3,7 => UNS
* INC # C6: 3,7 # F5: 2,5 => UNS
* INC # C6: 3,7 # F5: 8 => UNS
* PRF # C6: 3,7 # B6: 2,5 => SOL
* STA # C6: 3,7 + B6: 2,5
* CNT   9 HDP CHAINS /  10 HYP OPENED