Analysis of xx-ph-00064493-12_11-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6..7...6......68.5....9.4...3..2......1..7.5.8....9.8.7.....1....2.....3.4. initial

Autosolve

position: 98.7..6..7...6......68.5....9.4...3..2......1..7.5.8....9.8.7.....1....2.....3.4. 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: 0:00:11.231610

The following important HDP chains were detected:

* DIS # G2: 2,5 # H2: 2,5 => CTR => H2: 1,8,9
* PRF # G2: 2,5 + H2: 1,8,9 # G3: 4,9 => SOL
* STA # G2: 2,5 + H2: 1,8,9 + G3: 4,9
* CNT   2 HDP CHAINS /  12 HYP OPENED

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

Details

Positions

98.7..6..7...6......68.5....9.4...3..2......1..7.5.8....9.8.7.....1....2.....3.4. initial
98.7..6..7...6......68.5....9.4...3..2......1..7.5.8....9.8.7.....1....2.....3.4. autosolve
983712654754369218216845973691428537528637491347951826139284765475196382862573149 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
G4: 2,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H7,G9: 1.. / H7 = 1  =>  3 pairs (_) / G9 = 1  =>  2 pairs (_)
G4,H6: 2.. / G4 = 2  =>  2 pairs (_) / H6 = 2  =>  6 pairs (_)
I7,G8: 3.. / I7 = 3  =>  3 pairs (_) / G8 = 3  =>  2 pairs (_)
G5,I6: 4.. / G5 = 4  =>  2 pairs (_) / I6 = 4  =>  3 pairs (_)
D7,D9: 5.. / D7 = 5  =>  3 pairs (_) / D9 = 5  =>  3 pairs (_)
H3,I3: 7.. / H3 = 7  =>  2 pairs (_) / I3 = 7  =>  3 pairs (_)
I4,H5: 7.. / I4 = 7  =>  2 pairs (_) / H5 = 7  =>  3 pairs (_)
B8,B9: 7.. / B8 = 7  =>  6 pairs (_) / B9 = 7  =>  2 pairs (_)
B9,E9: 7.. / B9 = 7  =>  2 pairs (_) / E9 = 7  =>  6 pairs (_)
H3,H5: 7.. / H3 = 7  =>  2 pairs (_) / H5 = 7  =>  3 pairs (_)
I3,I4: 7.. / I3 = 7  =>  3 pairs (_) / I4 = 7  =>  2 pairs (_)
H2,I2: 8.. / H2 = 8  =>  1 pairs (_) / I2 = 8  =>  1 pairs (_)
F4,F5: 8.. / F4 = 8  =>  2 pairs (_) / F5 = 8  =>  1 pairs (_)
H8,I9: 8.. / H8 = 8  =>  1 pairs (_) / I9 = 8  =>  1 pairs (_)
H2,H8: 8.. / H2 = 8  =>  1 pairs (_) / H8 = 8  =>  1 pairs (_)
I2,I9: 8.. / I2 = 8  =>  1 pairs (_) / I9 = 8  =>  1 pairs (_)
* DURATION: 0:00:09.145121  START: 01:13:13.443581  END: 01:13:22.588702 2020-12-22
* CP COUNT: (16)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:11.149776  START: 01:13:24.329246  END: 01:13:35.479022 2020-12-22
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00064493-12_11-base-pr-002.dot
* REASONING
* DIS # G2: 2,5 # H2: 2,5 => CTR => H2: 1,8,9
* PRF # G2: 2,5 + H2: 1,8,9 # G3: 4,9 => SOL
* STA # G2: 2,5 + H2: 1,8,9 + G3: 4,9
* CNT   2 HDP CHAINS /  12 HYP OPENED

Header Info

64493;12_11;GP;24;11.30;11.30;9.70

Solution

position: 983712654754369218216845973691428537528637491347951826139284765475196382862573149 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 # G2: 2,5 => UNS
* INC # G2: 1,3,4,9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # G2: 2,5 => UNS
* INC # G2: 1,3,4,9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # G2: 2,5 => UNS
* INC # G2: 1,3,4,9 => UNS
* INC # G2: 2,5 # H1: 2,5 => UNS
* DIS # G2: 2,5 # H2: 2,5 => CTR => H2: 1,8,9
* INC # G2: 2,5 + H2: 1,8,9 # H1: 2,5 => UNS
* INC # G2: 2,5 + H2: 1,8,9 # H1: 1 => UNS
* INC # G2: 2,5 + H2: 1,8,9 # C2: 2,5 => UNS
* INC # G2: 2,5 + H2: 1,8,9 # C2: 1,3,4 => UNS
* INC # G2: 2,5 + H2: 1,8,9 # I6: 4,9 => UNS
* INC # G2: 2,5 + H2: 1,8,9 # I6: 6 => UNS
* PRF # G2: 2,5 + H2: 1,8,9 # G3: 4,9 => SOL
* STA # G2: 2,5 + H2: 1,8,9 + G3: 4,9
* CNT  11 HDP CHAINS /  12 HYP OPENED