Analysis of xx-ph-00974167-13_03-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6..5...9......7..6...45...3.....9.7.8....6.5..4..2.....1...5.6.9.........63 initial

Autosolve

position: 98.7..6..56..9......7..6...45...3.....9.7.8....6.5..4.62.....1...5.6.9...9.....63 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: 0:00:16.101724

The following important HDP chains were detected:

* PRF # A6: 1,3 # B3: 1,3 => SOL
* STA # A6: 1,3 + B3: 1,3
* CNT   1 HDP CHAINS /  28 HYP OPENED

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

Details

Positions

98.7..6..5...9......7..6...45...3.....9.7.8....6.5..4..2.....1...5.6.9.........63 initial
98.7..6..56..9......7..6...45...3.....9.7.8....6.5..4.62.....1...5.6.9...9.....63 autosolve
984732651562198374137546289458213796219674835376859142623985417745361928891427563 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
B5: 1,3

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H5,G6: 3.. / H5 = 3  =>  9 pairs (_) / G6 = 3  =>  3 pairs (_)
D5,F5: 4.. / D5 = 4  =>  5 pairs (_) / F5 = 4  =>  1 pairs (_)
B3,B8: 4.. / B3 = 4  =>  1 pairs (_) / B8 = 4  =>  4 pairs (_)
F1,D3: 5.. / F1 = 5  =>  2 pairs (_) / D3 = 5  =>  1 pairs (_)
H5,I5: 5.. / H5 = 5  =>  3 pairs (_) / I5 = 5  =>  4 pairs (_)
D4,D5: 6.. / D4 = 6  =>  4 pairs (_) / D5 = 6  =>  1 pairs (_)
I4,I5: 6.. / I4 = 6  =>  1 pairs (_) / I5 = 6  =>  4 pairs (_)
D4,I4: 6.. / D4 = 6  =>  4 pairs (_) / I4 = 6  =>  1 pairs (_)
D5,I5: 6.. / D5 = 6  =>  1 pairs (_) / I5 = 6  =>  4 pairs (_)
A6,B6: 7.. / A6 = 7  => 10 pairs (_) / B6 = 7  =>  1 pairs (_)
B6,B8: 7.. / B6 = 7  =>  1 pairs (_) / B8 = 7  => 10 pairs (_)
C4,A6: 8.. / C4 = 8  =>  5 pairs (_) / A6 = 8  =>  4 pairs (_)
H3,I3: 9.. / H3 = 9  =>  4 pairs (_) / I3 = 9  =>  2 pairs (_)
D7,F7: 9.. / D7 = 9  =>  2 pairs (_) / F7 = 9  =>  2 pairs (_)
F6,F7: 9.. / F6 = 9  =>  2 pairs (_) / F7 = 9  =>  2 pairs (_)
H3,H4: 9.. / H3 = 9  =>  4 pairs (_) / H4 = 9  =>  2 pairs (_)
* DURATION: 0:00:10.577492  START: 06:42:29.177012  END: 06:42:39.754504 2021-01-04
* CP COUNT: (16)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:15.954586  START: 06:42:43.969786  END: 06:42:59.924372 2021-01-04
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00974167-13_03-base-pr-002.dot
* REASONING
* PRF # A6: 1,3 # B3: 1,3 => SOL
* STA # A6: 1,3 + B3: 1,3
* CNT   1 HDP CHAINS /  28 HYP OPENED

Header Info

974167;13_03;GP;24;11.30;1.20;1.20

Solution

position: 984732651562198374137546289458213796219674835376859142623985417745361928891427563 solved
Solution

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 # A5: 1,3 => UNS
* INC # A6: 1,3 => UNS
* INC # B6: 1,3 => UNS
* INC # B3: 1,3 => UNS
* INC # B8: 1,3 => UNS
* CNT   5 HDP CHAINS /   5 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # A5: 1,3 => UNS
* INC # A6: 1,3 => UNS
* INC # B6: 1,3 => UNS
* INC # B3: 1,3 => UNS
* INC # B8: 1,3 => UNS
* CNT   5 HDP CHAINS /   5 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # A5: 1,3 => UNS
* INC # A6: 1,3 => UNS
* INC # B6: 1,3 => UNS
* INC # B3: 1,3 => UNS
* INC # B8: 1,3 => UNS
* INC # A5: 1,3 # D4: 2,8 => UNS
* INC # A5: 1,3 # E4: 2,8 => UNS
* INC # A5: 1,3 # A3: 1,3 => UNS
* INC # A5: 1,3 # A8: 1,3 => UNS
* INC # A5: 1,3 # B3: 1,3 => UNS
* INC # A5: 1,3 # B8: 1,3 => UNS
* INC # A5: 1,3 # D6: 2,8 => UNS
* INC # A5: 1,3 # F6: 2,8 => UNS
* INC # A5: 1,3 # D5: 2,4 => UNS
* INC # A5: 1,3 # D5: 6 => UNS
* INC # A5: 1,3 # F1: 2,4 => UNS
* INC # A5: 1,3 # F2: 2,4 => UNS
* INC # A5: 1,3 # F8: 2,4 => UNS
* INC # A5: 1,3 # F9: 2,4 => UNS
* INC # A5: 1,3 # I5: 2,5 => UNS
* INC # A5: 1,3 # I5: 6 => UNS
* INC # A5: 1,3 # H1: 2,5 => UNS
* INC # A5: 1,3 # H3: 2,5 => UNS
* INC # A5: 1,3 => UNS
* INC # A6: 1,3 # C1: 1,3 => UNS
* INC # A6: 1,3 # C2: 1,3 => UNS
* PRF # A6: 1,3 # B3: 1,3 => SOL
* STA # A6: 1,3 + B3: 1,3
* CNT  27 HDP CHAINS /  28 HYP OPENED