Analysis of xx-ph-00325039-12_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...3.4.5....1....5..2.6..1..7....8.....4.9...5.8.7..4..6..2..9.. initial

Autosolve

position: ........1.....2.3...3.4.5....1....5..2.6..1..7....8.....4.9...5.8.7..4..6..2.49.. 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: 0:00:07.538525

The following important HDP chains were detected:

* PRF # B9: 5,7 # D7: 1,3 => SOL
* STA # B9: 5,7 + D7: 1,3
* CNT   1 HDP CHAINS /   8 HYP OPENED

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

Details

Positions

`........1.....2.3...3.4.5....1....5..2.6..1..7....8.....4.9...5.8.7..4..6..2..9..`	initial
`........1.....2.3...3.4.5....1....5..2.6..1..7....8.....4.9...5.8.7..4..6..2.49..`	autosolve
`572963841148572639963841527891427356425639178736158294214396785389715462657284913`	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
C9: 5,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D6,E6: 1.. / D6 = 1  =>  3 pairs (_) / E6 = 1  =>  1 pairs (_)
E4,E6: 2.. / E4 = 2  =>  1 pairs (_) / E6 = 2  =>  6 pairs (_)
C1,C8: 2.. / C1 = 2  =>  2 pairs (_) / C8 = 2  =>  4 pairs (_)
H1,I2: 4.. / H1 = 4  =>  1 pairs (_) / I2 = 4  =>  1 pairs (_)
D4,D6: 4.. / D4 = 4  =>  1 pairs (_) / D6 = 4  =>  3 pairs (_)
D7,E9: 8.. / D7 = 8  =>  2 pairs (_) / E9 = 8  =>  5 pairs (_)
A8,C8: 9.. / A8 = 9  =>  2 pairs (_) / C8 = 9  =>  3 pairs (_)
* DURATION: 0:00:04.216719  START: 15:48:12.991798  END: 15:48:17.208517 2020-10-28
* CP COUNT: (7)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:07.467509  START: 15:48:20.384353  END: 15:48:27.851862 2020-10-28
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00325039-12_12_03-base-pr-002.dot
* REASONING
* PRF # B9: 5,7 # D7: 1,3 => SOL
* STA # B9: 5,7 + D7: 1,3
* CNT   1 HDP CHAINS /   8 HYP OPENED

Header Info

325039;12_12_03;dob;22;11.40;1.20;1.20

Solution

position: 572963841148572639963841527891427356425639178736158294214396785389715462657284913 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 # B9: 1,3 => UNS
* INC # C1: 5,7 => UNS
* INC # C2: 5,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # B9: 5,7 => UNS
* INC # B9: 1,3 => UNS
* INC # C1: 5,7 => UNS
* INC # C2: 5,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # B9: 5,7 => UNS
* INC # B9: 1,3 => UNS
* INC # C1: 5,7 => UNS
* INC # C2: 5,7 => UNS
* INC # B9: 5,7 # A7: 1,3 => UNS
* INC # B9: 5,7 # A8: 1,3 => UNS
* PRF # B9: 5,7 # D7: 1,3 => SOL
* STA # B9: 5,7 + D7: 1,3
* CNT   7 HDP CHAINS /   8 HYP OPENED