Analysis of xx-ph-00259228-12_12_03-base.sdk

Contents

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

Original Sudoku

level: hard

position: ........1....12.3...13..4....34....5.6...7...8...2.9....4....9..2..6.5..7....8... initial

Autosolve

position: ........1....12.3...13..4....34....5.6...7...8...2.9....4....9..2..6.5..7....8... 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: 0:00:23.988208

The following important HDP chains were detected:

* PRF # B6: 5,7 # F6: 1,6 => SOL
* STA # B6: 5,7 + F6: 1,6
* CNT   1 HDP CHAINS /  30 HYP OPENED

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

Details

Positions

`........1....12.3...13..4....34....5.6...7...8...2.9....4....9..2..6.5..7....8...`	initial
`........1....12.3...13..4....34....5.6...7...8...2.9....4....9..2..6.5..7....8...`	autosolve
`372894651546712839981356427213489765469537182857621943634175298128963574795248316`	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (3)
C6: 5,7
E4: 8,9
C8: 8,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D7,D9: 2.. / D7 = 2  =>  3 pairs (_) / D9 = 2  =>  3 pairs (_)
C1,C5: 2.. / C1 = 2  =>  4 pairs (_) / C5 = 2  =>  4 pairs (_)
A1,B1: 3.. / A1 = 3  =>  4 pairs (_) / B1 = 3  =>  3 pairs (_)
E5,F6: 3.. / E5 = 3  =>  4 pairs (_) / F6 = 3  =>  4 pairs (_)
F6,I6: 3.. / F6 = 3  =>  4 pairs (_) / I6 = 3  =>  4 pairs (_)
A2,B2: 4.. / A2 = 4  =>  3 pairs (_) / B2 = 4  =>  3 pairs (_)
E1,F1: 4.. / E1 = 4  =>  3 pairs (_) / F1 = 4  =>  3 pairs (_)
A5,B6: 4.. / A5 = 4  =>  3 pairs (_) / B6 = 4  =>  3 pairs (_)
F8,E9: 4.. / F8 = 4  =>  3 pairs (_) / E9 = 4  =>  3 pairs (_)
A2,A5: 4.. / A2 = 4  =>  3 pairs (_) / A5 = 4  =>  3 pairs (_)
B2,B6: 4.. / B2 = 4  =>  3 pairs (_) / B6 = 4  =>  3 pairs (_)
E1,E9: 4.. / E1 = 4  =>  3 pairs (_) / E9 = 4  =>  3 pairs (_)
F1,F8: 4.. / F1 = 4  =>  3 pairs (_) / F8 = 4  =>  3 pairs (_)
H1,H3: 5.. / H1 = 5  =>  3 pairs (_) / H3 = 5  =>  4 pairs (_)
A7,C9: 6.. / A7 = 6  =>  4 pairs (_) / C9 = 6  =>  3 pairs (_)
B7,C8: 8.. / B7 = 8  =>  6 pairs (_) / C8 = 8  =>  2 pairs (_)
I2,I3: 9.. / I2 = 9  =>  3 pairs (_) / I3 = 9  =>  4 pairs (_)
* DURATION: 0:00:10.011075  START: 18:46:01.638356  END: 18:46:11.649431 2020-10-01
* CP COUNT: (17)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:23.838125  START: 18:46:19.190114  END: 18:46:43.028239 2020-10-01
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00259228-12_12_03-base-pr-002.dot
* REASONING
* PRF # B6: 5,7 # F6: 1,6 => SOL
* STA # B6: 5,7 + F6: 1,6
* CNT   1 HDP CHAINS /  30 HYP OPENED

Header Info

259228;12_12_03;dob;22;11.50;11.50;2.60

Solution

position: 372894651546712839981356427213489765469537182857621943634175298128963574795248316 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 # B6: 5,7 => UNS
* INC # B6: 1,4 => UNS
* INC # C1: 5,7 => UNS
* INC # C2: 5,7 => UNS
* INC # D5: 8,9 => UNS
* INC # E5: 8,9 => UNS
* INC # E1: 8,9 => UNS
* INC # E3: 8,9 => UNS
* INC # C1: 8,9 => UNS
* INC # C2: 8,9 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # B6: 5,7 => UNS
* INC # B6: 1,4 => UNS
* INC # C1: 5,7 => UNS
* INC # C2: 5,7 => UNS
* INC # D5: 8,9 => UNS
* INC # E5: 8,9 => UNS
* INC # E1: 8,9 => UNS
* INC # E3: 8,9 => UNS
* INC # C1: 8,9 => UNS
* INC # C2: 8,9 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # B6: 5,7 => UNS
* INC # B6: 1,4 => UNS
* INC # C1: 5,7 => UNS
* INC # C2: 5,7 => UNS
* INC # D5: 8,9 => UNS
* INC # E5: 8,9 => UNS
* INC # E1: 8,9 => UNS
* INC # E3: 8,9 => UNS
* INC # C1: 8,9 => UNS
* INC # C2: 8,9 => UNS
* INC # B6: 5,7 # A4: 1,9 => UNS
* INC # B6: 5,7 # A4: 2 => UNS
* INC # B6: 5,7 # B9: 1,9 => UNS
* INC # B6: 5,7 # B9: 3,5 => UNS
* INC # B6: 5,7 # A4: 2,9 => UNS
* INC # B6: 5,7 # A4: 1 => UNS
* INC # B6: 5,7 # C1: 2,9 => UNS
* INC # B6: 5,7 # C1: 5,6,7,8 => UNS
* INC # B6: 5,7 # B1: 5,7 => UNS
* INC # B6: 5,7 # B3: 5,7 => UNS
* INC # B6: 5,7 # C1: 5,7 => UNS
* INC # B6: 5,7 # C2: 5,7 => UNS
* INC # B6: 5,7 # D5: 8,9 => UNS
* INC # B6: 5,7 # E5: 8,9 => UNS
* INC # B6: 5,7 # E1: 8,9 => UNS
* INC # B6: 5,7 # E3: 8,9 => UNS
* INC # B6: 5,7 # F1: 6,9 => UNS
* INC # B6: 5,7 # F3: 6,9 => UNS
* PRF # B6: 5,7 # F6: 1,6 => SOL
* STA # B6: 5,7 + F6: 1,6
* CNT  29 HDP CHAINS /  30 HYP OPENED