Analysis of xx-ph-00041719-12_07-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6..75.....9...6......4...86.....59...8......3..4.2....1.3..73...5.....1.2.. initial

Autosolve

position: 98.7..6..75.....9...6......4...86.....59...8......3..4.2....1.3..73...5.....1.2.. 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: 0:00:17.602037

The following important HDP chains were detected:

* PRF # H4: 3,7 # I5: 1,2 => SOL
* STA # H4: 3,7 + I5: 1,2
* CNT   1 HDP CHAINS /  29 HYP OPENED

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

Details

Positions

98.7..6..75.....9...6......4...86.....59...8......3..4.2....1.3..73...5.....1.2.. initial
98.7..6..75.....9...6......4...86.....59...8......3..4.2....1.3..73...5.....1.2.. autosolve
982734615754261398316895427471586932635942781298173564829657143147329856563418279 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
G5: 3,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A8,B8: 1.. / A8 = 1  =>  2 pairs (_) / B8 = 1  =>  3 pairs (_)
E8,F8: 2.. / E8 = 2  =>  3 pairs (_) / F8 = 2  =>  1 pairs (_)
E5,F5: 4.. / E5 = 4  =>  1 pairs (_) / F5 = 4  =>  2 pairs (_)
A7,A9: 5.. / A7 = 5  =>  1 pairs (_) / A9 = 5  =>  2 pairs (_)
D2,E2: 6.. / D2 = 6  =>  1 pairs (_) / E2 = 6  =>  1 pairs (_)
I5,H6: 6.. / I5 = 6  =>  2 pairs (_) / H6 = 6  =>  4 pairs (_)
A6,C6: 8.. / A6 = 8  =>  3 pairs (_) / C6 = 8  =>  2 pairs (_)
E3,F3: 9.. / E3 = 9  =>  1 pairs (_) / F3 = 9  =>  1 pairs (_)
* DURATION: 0:00:04.665780  START: 23:11:06.803668  END: 23:11:11.469448 2020-09-30
* CP COUNT: (8)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:17.444474  START: 23:11:16.088608  END: 23:11:33.533082 2020-09-30
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00041719-12_07-base-pr-002.dot
* REASONING
* PRF # H4: 3,7 # I5: 1,2 => SOL
* STA # H4: 3,7 + I5: 1,2
* CNT   1 HDP CHAINS /  29 HYP OPENED

Header Info

41719;12_07;GP;24;11.50;11.50;9.50

Solution

position: 982734615754261398316895427471586932635942781298173564829657143147329856563418279 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: 3,7 => UNS
* INC # H4: 3,7 => UNS
* INC # B5: 3,7 => UNS
* INC # B5: 1,6 => UNS
* INC # G3: 3,7 => UNS
* INC # G3: 4,5,8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # G4: 3,7 => UNS
* INC # H4: 3,7 => UNS
* INC # B5: 3,7 => UNS
* INC # B5: 1,6 => UNS
* INC # G3: 3,7 => UNS
* INC # G3: 4,5,8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # G4: 3,7 => UNS
* INC # H4: 3,7 => UNS
* INC # B5: 3,7 => UNS
* INC # B5: 1,6 => UNS
* INC # G3: 3,7 => UNS
* INC # G3: 4,5,8 => UNS
* INC # G4: 3,7 # G3: 4,8 => UNS
* INC # G4: 3,7 # G3: 5 => UNS
* INC # G4: 3,7 # D2: 4,8 => UNS
* INC # G4: 3,7 # F2: 4,8 => UNS
* INC # G4: 3,7 # G8: 4,8 => UNS
* INC # G4: 3,7 # G8: 9 => UNS
* INC # G4: 3,7 # B4: 3,7 => UNS
* INC # G4: 3,7 # B4: 1,9 => UNS
* INC # G4: 3,7 # I5: 1,2 => UNS
* INC # G4: 3,7 # H6: 1,2 => UNS
* INC # G4: 3,7 # C4: 1,2 => UNS
* INC # G4: 3,7 # D4: 1,2 => UNS
* INC # G4: 3,7 # H1: 1,2 => UNS
* INC # G4: 3,7 # H3: 1,2 => UNS
* INC # G4: 3,7 # B5: 3,7 => UNS
* INC # G4: 3,7 # B5: 1,6 => UNS
* INC # G4: 3,7 => UNS
* INC # H4: 3,7 # B4: 3,7 => UNS
* INC # H4: 3,7 # B4: 1,9 => UNS
* INC # H4: 3,7 # H3: 3,7 => UNS
* INC # H4: 3,7 # H3: 1,2,4 => UNS
* PRF # H4: 3,7 # I5: 1,2 => SOL
* STA # H4: 3,7 + I5: 1,2
* CNT  28 HDP CHAINS /  29 HYP OPENED