Analysis of xx-ph-01417363-14_06-base.sdk

Contents

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

Original Sudoku

level: hard

position: 98.7..6..75..6..8...6......4.....5....79...6.........3..96...5...58.4.7......21.. initial

Autosolve

position: 98.7..6..75..6..8...6......4.....5....79...6.........3..96...5...58.4.7......21.. 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: 0:00:26.744667

The following important HDP chains were detected:

* PRF # D3: 3,5 # B4: 1,2 => SOL
* STA # D3: 3,5 + B4: 1,2
* CNT   1 HDP CHAINS /  41 HYP OPENED

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

Details

Positions

`98.7..6..75..6..8...6......4.....5....79...6.........3..96...5...58.4.7......21..`	initial
`98.7..6..75..6..8...6......4.....5....79...6.........3..96...5...58.4.7......21..`	autosolve
`983725614752461389146389725428136597537948261691257843219673458365814972874592136`	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
D9: 3,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I1,I3: 5.. / I1 = 5  =>  2 pairs (_) / I3 = 5  =>  1 pairs (_)
A5,A6: 5.. / A5 = 5  =>  1 pairs (_) / A6 = 5  =>  3 pairs (_)
D9,E9: 5.. / D9 = 5  =>  0 pairs (_) / E9 = 5  =>  8 pairs (_)
F4,F6: 6.. / F4 = 6  =>  1 pairs (_) / F6 = 6  =>  1 pairs (_)
I8,I9: 6.. / I8 = 6  =>  1 pairs (_) / I9 = 6  =>  3 pairs (_)
B4,F4: 6.. / B4 = 6  =>  1 pairs (_) / F4 = 6  =>  1 pairs (_)
G3,I3: 7.. / G3 = 7  =>  1 pairs (_) / I3 = 7  =>  2 pairs (_)
I4,G6: 7.. / I4 = 7  =>  1 pairs (_) / G6 = 7  =>  2 pairs (_)
B7,B9: 7.. / B7 = 7  =>  8 pairs (_) / B9 = 7  =>  1 pairs (_)
B9,E9: 7.. / B9 = 7  =>  1 pairs (_) / E9 = 7  =>  8 pairs (_)
G3,G6: 7.. / G3 = 7  =>  1 pairs (_) / G6 = 7  =>  2 pairs (_)
I3,I4: 7.. / I3 = 7  =>  2 pairs (_) / I4 = 7  =>  1 pairs (_)
E3,F3: 8.. / E3 = 8  =>  1 pairs (_) / F3 = 8  =>  1 pairs (_)
F2,F3: 9.. / F2 = 9  =>  1 pairs (_) / F3 = 9  =>  2 pairs (_)
B4,B6: 9.. / B4 = 9  =>  2 pairs (_) / B6 = 9  =>  1 pairs (_)
E8,E9: 9.. / E8 = 9  =>  3 pairs (_) / E9 = 9  =>  2 pairs (_)
* DURATION: 0:00:10.581168  START: 03:30:21.574050  END: 03:30:32.155218 2020-09-23
* CP COUNT: (16)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:26.512552  START: 03:30:35.599972  END: 03:31:02.112524 2020-09-23
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-01417363-14_06-base-pr-002.dot
* REASONING
* PRF # D3: 3,5 # B4: 1,2 => SOL
* STA # D3: 3,5 + B4: 1,2
* CNT   1 HDP CHAINS /  41 HYP OPENED

Header Info

1417363;14_06;GP;24;11.60;11.60;2.60

Solution

position: 983725614752461389146389725428136597537948261691257843219673458365814972874592136 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 # E9: 3,5 => UNS
* INC # E9: 7,9 => UNS
* INC # D3: 3,5 => UNS
* INC # D3: 1,2,4 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # E9: 3,5 => UNS
* INC # E9: 7,9 => UNS
* INC # D3: 3,5 => UNS
* INC # D3: 1,2,4 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # E9: 3,5 => UNS
* INC # E9: 7,9 => UNS
* INC # D3: 3,5 => UNS
* INC # D3: 1,2,4 => UNS
* INC # E9: 3,5 # I9: 6,8 => UNS
* INC # E9: 3,5 # I9: 4,9 => UNS
* INC # E9: 3,5 # A6: 6,8 => UNS
* INC # E9: 3,5 # A6: 1,2,5 => UNS
* INC # E9: 3,5 # I9: 4,8 => UNS
* INC # E9: 3,5 # I9: 6,9 => UNS
* INC # E9: 3,5 # E4: 1,7 => UNS
* INC # E9: 3,5 # E6: 1,7 => UNS
* INC # E9: 3,5 # F4: 1,7 => UNS
* INC # E9: 3,5 # F6: 1,7 => UNS
* INC # E9: 3,5 # D3: 3,5 => UNS
* INC # E9: 3,5 # D3: 1,2,4 => UNS
* INC # E9: 3,5 # E1: 3,5 => UNS
* INC # E9: 3,5 # E3: 3,5 => UNS
* INC # E9: 3,5 # E5: 3,5 => UNS
* INC # E9: 3,5 # G7: 2,3 => UNS
* INC # E9: 3,5 # G7: 4,8 => UNS
* INC # E9: 3,5 # A8: 2,3 => UNS
* INC # E9: 3,5 # B8: 2,3 => UNS
* INC # E9: 3,5 # A8: 2,6 => UNS
* INC # E9: 3,5 # B8: 2,6 => UNS
* INC # E9: 3,5 # I9: 4,9 => UNS
* INC # E9: 3,5 # I9: 6,8 => UNS
* INC # E9: 3,5 # H3: 4,9 => UNS
* INC # E9: 3,5 # H6: 4,9 => UNS
* INC # E9: 3,5 => UNS
* INC # E9: 7,9 => UNS
* INC # D3: 3,5 # E1: 3,5 => UNS
* INC # D3: 3,5 # F1: 3,5 => UNS
* INC # D3: 3,5 # E3: 3,5 => UNS
* INC # D3: 3,5 # F3: 3,5 => UNS
* INC # D3: 3,5 # E4: 1,2 => UNS
* INC # D3: 3,5 # E5: 1,2 => UNS
* INC # D3: 3,5 # D6: 1,2 => UNS
* INC # D3: 3,5 # E6: 1,2 => UNS
* PRF # D3: 3,5 # B4: 1,2 => SOL
* STA # D3: 3,5 + B4: 1,2
* CNT  40 HDP CHAINS /  41 HYP OPENED