Analysis of xx-ph-00034770-12_05-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7.....6..5..8....4.8..9.4...6..3..6....2....3..5..1.4..3..8....1....2.....87.. initial

Autosolve

position: 98.7.....6..5..8....4.8..9.4...6..3..6....2....3..5..1.4..3..8....1....2.....87.. 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: 0:00:34.320716

The following important HDP chains were detected:

* PRF # B4: 5,9 # C4: 2,8 => SOL
* STA # B4: 5,9 + C4: 2,8
* CNT   1 HDP CHAINS /  55 HYP OPENED

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

Details

Positions

98.7.....6..5..8....4.8..9.4...6..3..6....2....3..5..1.4..3..8....1....2.....87.. initial
98.7.....6..5..8....4.8..9.4...6..3..6....2....3..5..1.4..3..8....1....2.....87.. autosolve
985713624612549873374682195458261937169374258723895461241937586897156342536428719 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
G4: 5,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G7,H9: 1.. / G7 = 1  =>  3 pairs (_) / H9 = 1  =>  1 pairs (_)
H1,H2: 2.. / H1 = 2  =>  3 pairs (_) / H2 = 2  =>  2 pairs (_)
D5,F5: 3.. / D5 = 3  =>  2 pairs (_) / F5 = 3  =>  2 pairs (_)
G8,I9: 3.. / G8 = 3  =>  1 pairs (_) / I9 = 3  =>  2 pairs (_)
D3,D5: 3.. / D3 = 3  =>  2 pairs (_) / D5 = 3  =>  2 pairs (_)
E8,E9: 5.. / E8 = 5  =>  2 pairs (_) / E9 = 5  =>  1 pairs (_)
G6,H6: 6.. / G6 = 6  =>  2 pairs (_) / H6 = 6  =>  3 pairs (_)
I4,I5: 8.. / I4 = 8  =>  2 pairs (_) / I5 = 8  =>  1 pairs (_)
A8,C8: 8.. / A8 = 8  =>  3 pairs (_) / C8 = 8  =>  1 pairs (_)
A6,D6: 8.. / A6 = 8  =>  1 pairs (_) / D6 = 8  =>  3 pairs (_)
E2,F2: 9.. / E2 = 9  =>  1 pairs (_) / F2 = 9  =>  1 pairs (_)
* DURATION: 0:00:06.764063  START: 04:06:56.121838  END: 04:07:02.885901 2020-12-15
* CP COUNT: (11)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:34.049141  START: 04:07:07.700116  END: 04:07:41.749257 2020-12-15
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00034770-12_05-base-pr-002.dot
* REASONING
* PRF # B4: 5,9 # C4: 2,8 => SOL
* STA # B4: 5,9 + C4: 2,8
* CNT   1 HDP CHAINS /  55 HYP OPENED

Header Info

34770;12_05;GP;24;11.30;11.30;10.70

Solution

position: 985713624612549873374682195458261937169374258723895461241937586897156342536428719 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 # I4: 5,9 => UNS
* INC # I5: 5,9 => UNS
* INC # B4: 5,9 => UNS
* INC # C4: 5,9 => UNS
* INC # G7: 5,9 => UNS
* INC # G8: 5,9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # I4: 5,9 => UNS
* INC # I5: 5,9 => UNS
* INC # B4: 5,9 => UNS
* INC # C4: 5,9 => UNS
* INC # G7: 5,9 => UNS
* INC # G8: 5,9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # I4: 5,9 => UNS
* INC # I5: 5,9 => UNS
* INC # B4: 5,9 => UNS
* INC # C4: 5,9 => UNS
* INC # G7: 5,9 => UNS
* INC # G8: 5,9 => UNS
* INC # I4: 5,9 # D6: 2,8 => UNS
* INC # I4: 5,9 # D6: 4,9 => UNS
* INC # I4: 5,9 # C4: 2,8 => UNS
* INC # I4: 5,9 # C4: 1,7 => UNS
* INC # I4: 5,9 # G7: 5,9 => UNS
* INC # I4: 5,9 # G8: 5,9 => UNS
* INC # I4: 5,9 # I7: 5,9 => UNS
* INC # I4: 5,9 # I9: 5,9 => UNS
* INC # I4: 5,9 # H6: 4,7 => UNS
* INC # I4: 5,9 # H6: 6 => UNS
* INC # I4: 5,9 # E5: 4,7 => UNS
* INC # I4: 5,9 # F5: 4,7 => UNS
* INC # I4: 5,9 # H6: 4,6 => UNS
* INC # I4: 5,9 # H6: 7 => UNS
* INC # I4: 5,9 # G1: 4,6 => UNS
* INC # I4: 5,9 # G8: 4,6 => UNS
* INC # I4: 5,9 => UNS
* INC # I5: 5,9 # F4: 2,9 => UNS
* INC # I5: 5,9 # D6: 2,9 => UNS
* INC # I5: 5,9 # E6: 2,9 => UNS
* INC # I5: 5,9 # B4: 2,9 => UNS
* INC # I5: 5,9 # C4: 2,9 => UNS
* INC # I5: 5,9 # D7: 2,9 => UNS
* INC # I5: 5,9 # D9: 2,9 => UNS
* INC # I5: 5,9 # B4: 5,9 => UNS
* INC # I5: 5,9 # C4: 5,9 => UNS
* INC # I5: 5,9 # G7: 5,9 => UNS
* INC # I5: 5,9 # G8: 5,9 => UNS
* INC # I5: 5,9 # H6: 4,7 => UNS
* INC # I5: 5,9 # H6: 6 => UNS
* INC # I5: 5,9 # E5: 4,7 => UNS
* INC # I5: 5,9 # F5: 4,7 => UNS
* INC # I5: 5,9 # C5: 5,9 => UNS
* INC # I5: 5,9 # C5: 1,7,8 => UNS
* INC # I5: 5,9 # I7: 5,9 => UNS
* INC # I5: 5,9 # I9: 5,9 => UNS
* INC # I5: 5,9 # H6: 4,6 => UNS
* INC # I5: 5,9 # H6: 7 => UNS
* INC # I5: 5,9 # G1: 4,6 => UNS
* INC # I5: 5,9 # G8: 4,6 => UNS
* INC # I5: 5,9 => UNS
* INC # B4: 5,9 # C5: 5,9 => UNS
* INC # B4: 5,9 # C5: 1,7,8 => UNS
* INC # B4: 5,9 # B8: 5,9 => UNS
* INC # B4: 5,9 # B9: 5,9 => UNS
* INC # B4: 5,9 # D6: 2,8 => UNS
* INC # B4: 5,9 # D6: 4,9 => UNS
* PRF # B4: 5,9 # C4: 2,8 => SOL
* STA # B4: 5,9 + C4: 2,8
* CNT  54 HDP CHAINS /  55 HYP OPENED