Analysis of xx-ph-02236630-2018_12_25-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6..75.....8...6......6...4...3..86...72..59.7....1......6..98...5......28.. initial

Autosolve

position: 98.7..6..75.....8...6.8....6...48..3..86...72..59.7.6881......6..98...5.5....28.. 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: 0:00:12.311142

The following important HDP chains were detected:

* DIS # G4: 1,9 # C2: 2,3 => CTR => C2: 1,4
* DIS # G4: 1,9 + C2: 1,4 # C1: 1,4 => CTR => C1: 2,3
* PRF # G4: 1,9 + C2: 1,4 + C1: 2,3 # D3: 2,3 => SOL
* STA # G4: 1,9 + C2: 1,4 + C1: 2,3 + D3: 2,3
* CNT   3 HDP CHAINS /  14 HYP OPENED

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

Details

Positions

98.7..6..75.....8...6......6...4...3..86...72..59.7....1......6..98...5......28.. initial
98.7..6..75.....8...6.8....6...48..3..86...72..59.7.6881......6..98...5.5....28.. autosolve
982751634751436289346289715627548193498613572135927468814375926279864351563192847 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
H4: 1,9
G6: 1,4

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,E6: 2.. / D4 = 2  =>  5 pairs (_) / E6 = 2  =>  7 pairs (_)
G5,G6: 4.. / G5 = 4  =>  4 pairs (_) / G6 = 4  =>  2 pairs (_)
I1,I3: 5.. / I1 = 5  =>  2 pairs (_) / I3 = 5  =>  3 pairs (_)
G4,G5: 5.. / G4 = 5  =>  3 pairs (_) / G5 = 5  => 10 pairs (_)
D4,G4: 5.. / D4 = 5  => 10 pairs (_) / G4 = 5  =>  3 pairs (_)
E2,F2: 6.. / E2 = 6  =>  2 pairs (_) / F2 = 6  =>  2 pairs (_)
B8,B9: 6.. / B8 = 6  =>  2 pairs (_) / B9 = 6  =>  2 pairs (_)
B9,E9: 6.. / B9 = 6  =>  2 pairs (_) / E9 = 6  =>  2 pairs (_)
F2,F8: 6.. / F2 = 6  =>  2 pairs (_) / F8 = 6  =>  2 pairs (_)
G3,I3: 7.. / G3 = 7  =>  2 pairs (_) / I3 = 7  =>  3 pairs (_)
B4,C4: 7.. / B4 = 7  =>  3 pairs (_) / C4 = 7  =>  6 pairs (_)
B4,B5: 9.. / B4 = 9  =>  6 pairs (_) / B5 = 9  =>  3 pairs (_)
B5,G5: 9.. / B5 = 9  =>  3 pairs (_) / G5 = 9  =>  6 pairs (_)
* DURATION: 0:00:10.635678  START: 13:13:25.086394  END: 13:13:35.722072 2020-11-05
* CP COUNT: (13)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:12.199372  START: 13:13:43.426109  END: 13:13:55.625481 2020-11-05
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-02236630-2018_12_25-base-pr-002.dot
* REASONING
* DIS # G4: 1,9 # C2: 2,3 => CTR => C2: 1,4
* DIS # G4: 1,9 + C2: 1,4 # C1: 1,4 => CTR => C1: 2,3
* PRF # G4: 1,9 + C2: 1,4 + C1: 2,3 # D3: 2,3 => SOL
* STA # G4: 1,9 + C2: 1,4 + C1: 2,3 + D3: 2,3
* CNT   3 HDP CHAINS /  14 HYP OPENED

Header Info

2236630;2018_12_25;PAQ;25;11.40;1.20;1.20

Solution

position: 982751634751436289346289715627548193498613572135927468814375926279864351563192847 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 # G4: 1,9 => UNS
* INC # G5: 1,9 => UNS
* INC # H3: 1,9 => UNS
* INC # H9: 1,9 => UNS
* INC # G5: 1,4 => UNS
* INC # G5: 5,9 => UNS
* INC # A6: 1,4 => UNS
* INC # A6: 2,3 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # G4: 1,9 => UNS
* INC # G5: 1,9 => UNS
* INC # H3: 1,9 => UNS
* INC # H9: 1,9 => UNS
* INC # G5: 1,4 => UNS
* INC # G5: 5,9 => UNS
* INC # A6: 1,4 => UNS
* INC # A6: 2,3 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # G4: 1,9 => UNS
* INC # G5: 1,9 => UNS
* INC # H3: 1,9 => UNS
* INC # H9: 1,9 => UNS
* INC # G5: 1,4 => UNS
* INC # G5: 5,9 => UNS
* INC # A6: 1,4 => UNS
* INC # A6: 2,3 => UNS
* INC # G4: 1,9 # C1: 2,3 => UNS
* DIS # G4: 1,9 # C2: 2,3 => CTR => C2: 1,4
* INC # G4: 1,9 + C2: 1,4 # C1: 2,3 => UNS
* DIS # G4: 1,9 + C2: 1,4 # C1: 1,4 => CTR => C1: 2,3
* PRF # G4: 1,9 + C2: 1,4 + C1: 2,3 # D3: 2,3 => SOL
* STA # G4: 1,9 + C2: 1,4 + C1: 2,3 + D3: 2,3
* CNT  13 HDP CHAINS /  14 HYP OPENED