Analysis of xx-ph-00041442-12_07-base.sdk

Contents

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

Original Sudoku

level: hard

position: 98.7..6..7.5....9.....4..7.86.3....7..2.6.........186.39.6...8...8............3.. initial

Autosolve

position: 98.7..6..7.5..6.9.....4..7.86.3....7..2.6.........186.39.6...8...8............3.. 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: 0:00:40.348079

The following important HDP chains were detected:

* PRF # B6: 4,5 # E6: 2,9 => SOL
* STA # B6: 4,5 + E6: 2,9
* CNT   1 HDP CHAINS /  64 HYP OPENED

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

Details

Positions

`98.7..6..7.5....9.....4..7.86.3....7..2.6.........186.39.6...8...8............3..`	initial
`98.7..6..7.5..6.9.....4..7.86.3....7..2.6.........186.39.6...8...8............3..`	autosolve
`981725634745136298623948571869354127132867459457291863394612785218573946576489312`	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
A6: 4,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E8,F8: 3.. / E8 = 3  =>  1 pairs (_) / F8 = 3  =>  2 pairs (_)
H1,H5: 3.. / H1 = 3  =>  3 pairs (_) / H5 = 3  =>  1 pairs (_)
C1,B2: 4.. / C1 = 4  =>  3 pairs (_) / B2 = 4  =>  4 pairs (_)
A3,C3: 6.. / A3 = 6  =>  2 pairs (_) / C3 = 6  =>  2 pairs (_)
I8,I9: 6.. / I8 = 6  =>  1 pairs (_) / I9 = 6  =>  2 pairs (_)
A8,I8: 6.. / A8 = 6  =>  2 pairs (_) / I8 = 6  =>  1 pairs (_)
C3,C9: 6.. / C3 = 6  =>  2 pairs (_) / C9 = 6  =>  2 pairs (_)
F5,E6: 7.. / F5 = 7  =>  2 pairs (_) / E6 = 7  =>  1 pairs (_)
G7,G8: 7.. / G7 = 7  =>  2 pairs (_) / G8 = 7  =>  3 pairs (_)
B5,F5: 7.. / B5 = 7  =>  1 pairs (_) / F5 = 7  =>  2 pairs (_)
I2,I3: 8.. / I2 = 8  =>  4 pairs (_) / I3 = 8  =>  1 pairs (_)
D5,F5: 8.. / D5 = 8  =>  2 pairs (_) / F5 = 8  =>  1 pairs (_)
E2,E9: 8.. / E2 = 8  =>  2 pairs (_) / E9 = 8  =>  1 pairs (_)
D3,F3: 9.. / D3 = 9  =>  1 pairs (_) / F3 = 9  =>  1 pairs (_)
C4,C6: 9.. / C4 = 9  =>  2 pairs (_) / C6 = 9  =>  5 pairs (_)
* DURATION: 0:00:10.848109  START: 23:21:09.147371  END: 23:21:19.995480 2020-12-18
* CP COUNT: (15)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:39.917879  START: 23:21:25.732298  END: 23:22:05.650177 2020-12-18
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00041442-12_07-base-pr-002.dot
* REASONING
* PRF # B6: 4,5 # E6: 2,9 => SOL
* STA # B6: 4,5 + E6: 2,9
* CNT   1 HDP CHAINS /  64 HYP OPENED

Header Info

41442;12_07;GP;24;11.30;1.50;1.50

Solution

position: 981725634745136298623948571869354127132867459457291863394612785218573946576489312 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 # A5: 4,5 => UNS
* INC # B5: 4,5 => UNS
* INC # B6: 4,5 => UNS
* INC # D6: 4,5 => UNS
* INC # I6: 4,5 => UNS
* INC # A8: 4,5 => UNS
* INC # A9: 4,5 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # A5: 4,5 => UNS
* INC # B5: 4,5 => UNS
* INC # B6: 4,5 => UNS
* INC # D6: 4,5 => UNS
* INC # I6: 4,5 => UNS
* INC # A8: 4,5 => UNS
* INC # A9: 4,5 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # A5: 4,5 => UNS
* INC # B5: 4,5 => UNS
* INC # B6: 4,5 => UNS
* INC # D6: 4,5 => UNS
* INC # I6: 4,5 => UNS
* INC # A8: 4,5 => UNS
* INC # A9: 4,5 => UNS
* INC # A5: 4,5 # G4: 1,9 => UNS
* INC # A5: 4,5 # G4: 2,4,5 => UNS
* INC # A5: 4,5 # D5: 4,5 => UNS
* INC # A5: 4,5 # F5: 4,5 => UNS
* INC # A5: 4,5 # G5: 4,5 => UNS
* INC # A5: 4,5 # H5: 4,5 => UNS
* INC # A5: 4,5 # I5: 4,5 => UNS
* INC # A5: 4,5 # D6: 4,5 => UNS
* INC # A5: 4,5 # I6: 4,5 => UNS
* INC # A5: 4,5 # B5: 3,7 => UNS
* INC # A5: 4,5 # C6: 3,7 => UNS
* INC # A5: 4,5 => UNS
* INC # B5: 4,5 # A8: 2,6 => UNS
* INC # B5: 4,5 # A9: 2,6 => UNS
* INC # B5: 4,5 # E1: 1,2 => UNS
* INC # B5: 4,5 # E2: 1,2 => UNS
* INC # B5: 4,5 # D3: 1,2 => UNS
* INC # B5: 4,5 # B2: 1,2 => UNS
* INC # B5: 4,5 # G2: 1,2 => UNS
* INC # B5: 4,5 # I2: 1,2 => UNS
* INC # B5: 4,5 # D8: 1,2 => UNS
* INC # B5: 4,5 # D9: 1,2 => UNS
* INC # B5: 4,5 # G5: 4,5 => UNS
* INC # B5: 4,5 # H5: 4,5 => UNS
* INC # B5: 4,5 # I5: 4,5 => UNS
* INC # B5: 4,5 # B8: 4,5 => UNS
* INC # B5: 4,5 # B9: 4,5 => UNS
* INC # B5: 4,5 # D6: 4,5 => UNS
* INC # B5: 4,5 # I6: 4,5 => UNS
* INC # B5: 4,5 # A8: 4,5 => UNS
* INC # B5: 4,5 # A9: 4,5 => UNS
* INC # B5: 4,5 # F4: 2,5 => UNS
* INC # B5: 4,5 # D6: 2,5 => UNS
* INC # B5: 4,5 # E6: 2,5 => UNS
* INC # B5: 4,5 # G4: 2,5 => UNS
* INC # B5: 4,5 # H4: 2,5 => UNS
* INC # B5: 4,5 # E1: 2,5 => UNS
* INC # B5: 4,5 # E7: 2,5 => UNS
* INC # B5: 4,5 # E8: 2,5 => UNS
* INC # B5: 4,5 # E9: 2,5 => UNS
* INC # B5: 4,5 => UNS
* INC # B6: 4,5 # A8: 2,6 => UNS
* INC # B6: 4,5 # A9: 2,6 => UNS
* INC # B6: 4,5 # A8: 4,5 => UNS
* INC # B6: 4,5 # A9: 4,5 => UNS
* INC # B6: 4,5 # B8: 4,5 => UNS
* INC # B6: 4,5 # B9: 4,5 => UNS
* INC # B6: 4,5 # F4: 2,5 => UNS
* INC # B6: 4,5 # F4: 4 => UNS
* INC # B6: 4,5 # G4: 2,5 => UNS
* INC # B6: 4,5 # H4: 2,5 => UNS
* INC # B6: 4,5 # E1: 2,5 => UNS
* INC # B6: 4,5 # E7: 2,5 => UNS
* INC # B6: 4,5 # E8: 2,5 => UNS
* INC # B6: 4,5 # E9: 2,5 => UNS
* PRF # B6: 4,5 # E6: 2,9 => SOL
* STA # B6: 4,5 + E6: 2,9
* CNT  63 HDP CHAINS /  64 HYP OPENED