Analysis of xx-ph-00721932-12_12_19-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: ........1.....2.3..23.4.5.....45.......6...7..65..34...342..6..8......5.9.6.3.... initial

Autosolve

position: ...3....1.....2.3..23.4.5.....45.......6...75.65..34...342..6..8.2....5.9.6.3.... 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: 0:00:40.728318

The following important HDP chains were detected:

* DIS # B9: 1,7 # F8: 1,7 => CTR => F8: 4,6,9
* PRF # E8: 1,7 # I2: 8,9 => SOL
* STA # E8: 1,7 + I2: 8,9
* CNT   2 HDP CHAINS /  79 HYP OPENED

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

Details

Positions

........1.....2.3..23.4.5.....45.......6...7..65..34...342..6..8......5.9.6.3.... initial
...3....1.....2.3..23.4.5.....45.......6...75.65..34...342..6..8.2....5.9.6.3.... autosolve
697385241458162739123749586281457963349621875765893412534218697812976354976534128 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
B8: 1,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G1,H1: 2.. / G1 = 2  =>  1 pairs (_) / H1 = 2  =>  4 pairs (_)
E5,E6: 2.. / E5 = 2  =>  1 pairs (_) / E6 = 2  =>  6 pairs (_)
A4,A5: 3.. / A4 = 3  =>  2 pairs (_) / A5 = 3  =>  1 pairs (_)
G8,I8: 3.. / G8 = 3  =>  2 pairs (_) / I8 = 3  =>  1 pairs (_)
A5,G5: 3.. / A5 = 3  =>  1 pairs (_) / G5 = 3  =>  2 pairs (_)
I4,I8: 3.. / I4 = 3  =>  2 pairs (_) / I8 = 3  =>  1 pairs (_)
H1,I2: 4.. / H1 = 4  =>  1 pairs (_) / I2 = 4  =>  2 pairs (_)
A5,B5: 4.. / A5 = 4  =>  2 pairs (_) / B5 = 4  =>  1 pairs (_)
F8,F9: 4.. / F8 = 4  =>  1 pairs (_) / F9 = 4  =>  3 pairs (_)
F8,I8: 4.. / F8 = 4  =>  1 pairs (_) / I8 = 4  =>  3 pairs (_)
H1,H9: 4.. / H1 = 4  =>  1 pairs (_) / H9 = 4  =>  2 pairs (_)
F1,D2: 5.. / F1 = 5  =>  3 pairs (_) / D2 = 5  =>  1 pairs (_)
A7,B9: 5.. / A7 = 5  =>  3 pairs (_) / B9 = 5  =>  2 pairs (_)
A7,F7: 5.. / A7 = 5  =>  3 pairs (_) / F7 = 5  =>  2 pairs (_)
D2,D9: 5.. / D2 = 5  =>  1 pairs (_) / D9 = 5  =>  3 pairs (_)
H4,I4: 6.. / H4 = 6  =>  2 pairs (_) / I4 = 6  =>  2 pairs (_)
E8,F8: 6.. / E8 = 6  =>  1 pairs (_) / F8 = 6  =>  3 pairs (_)
* DURATION: 0:00:12.394222  START: 21:34:50.537523  END: 21:35:02.931745 2020-12-30
* CP COUNT: (17)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:40.427118  START: 21:35:10.190432  END: 21:35:50.617550 2020-12-30
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00721932-12_12_19-base-pr-002.dot
* REASONING
* DIS # B9: 1,7 # F8: 1,7 => CTR => F8: 4,6,9
* PRF # E8: 1,7 # I2: 8,9 => SOL
* STA # E8: 1,7 + I2: 8,9
* CNT   2 HDP CHAINS /  79 HYP OPENED

Header Info

721932;12_12_19;dob;24;11.30;1.20;1.20

Solution

position: 697385241458162739123749586281457963349621875765893412534218697812976354976534128 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 # A7: 1,7 => UNS
* INC # B9: 1,7 => UNS
* INC # D8: 1,7 => UNS
* INC # E8: 1,7 => UNS
* INC # F8: 1,7 => UNS
* INC # G8: 1,7 => UNS
* INC # B2: 1,7 => UNS
* INC # B4: 1,7 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # A7: 1,7 => UNS
* INC # B9: 1,7 => UNS
* INC # D8: 1,7 => UNS
* INC # E8: 1,7 => UNS
* INC # F8: 1,7 => UNS
* INC # G8: 1,7 => UNS
* INC # B2: 1,7 => UNS
* INC # B4: 1,7 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # A7: 1,7 => UNS
* INC # B9: 1,7 => UNS
* INC # D8: 1,7 => UNS
* INC # E8: 1,7 => UNS
* INC # F8: 1,7 => UNS
* INC # G8: 1,7 => UNS
* INC # B2: 1,7 => UNS
* INC # B4: 1,7 => UNS
* INC # A7: 1,7 # E7: 1,7 => UNS
* INC # A7: 1,7 # E7: 8,9 => UNS
* INC # A7: 1,7 # A2: 1,7 => UNS
* INC # A7: 1,7 # A3: 1,7 => UNS
* INC # A7: 1,7 # A4: 1,7 => UNS
* INC # A7: 1,7 # A6: 1,7 => UNS
* INC # A7: 1,7 # D8: 1,7 => UNS
* INC # A7: 1,7 # E8: 1,7 => UNS
* INC # A7: 1,7 # F8: 1,7 => UNS
* INC # A7: 1,7 # G8: 1,7 => UNS
* INC # A7: 1,7 # B2: 1,7 => UNS
* INC # A7: 1,7 # B4: 1,7 => UNS
* INC # A7: 1,7 => UNS
* INC # B9: 1,7 # C4: 8,9 => UNS
* INC # B9: 1,7 # B5: 8,9 => UNS
* INC # B9: 1,7 # C5: 8,9 => UNS
* INC # B9: 1,7 # F4: 8,9 => UNS
* INC # B9: 1,7 # G4: 8,9 => UNS
* INC # B9: 1,7 # H4: 8,9 => UNS
* INC # B9: 1,7 # I4: 8,9 => UNS
* INC # B9: 1,7 # B1: 8,9 => UNS
* INC # B9: 1,7 # B2: 8,9 => UNS
* INC # B9: 1,7 # D8: 1,7 => UNS
* INC # B9: 1,7 # E8: 1,7 => UNS
* DIS # B9: 1,7 # F8: 1,7 => CTR => F8: 4,6,9
* INC # B9: 1,7 + F8: 4,6,9 # G8: 1,7 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # D8: 1,7 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # E8: 1,7 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # G8: 1,7 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # D9: 1,7 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # F9: 1,7 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # G9: 1,7 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # C4: 8,9 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # B5: 8,9 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # C5: 8,9 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # F4: 8,9 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # G4: 8,9 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # H4: 8,9 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # I4: 8,9 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # B1: 8,9 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # B2: 8,9 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # D8: 1,7 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # E8: 1,7 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # G8: 1,7 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # D9: 1,7 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # F9: 1,7 => UNS
* INC # B9: 1,7 + F8: 4,6,9 # G9: 1,7 => UNS
* INC # B9: 1,7 + F8: 4,6,9 => UNS
* INC # D8: 1,7 # A7: 1,7 => UNS
* INC # D8: 1,7 # B9: 1,7 => UNS
* INC # D8: 1,7 # B2: 1,7 => UNS
* INC # D8: 1,7 # B4: 1,7 => UNS
* INC # D8: 1,7 # E7: 1,7 => UNS
* INC # D8: 1,7 # F7: 1,7 => UNS
* INC # D8: 1,7 # D9: 1,7 => UNS
* INC # D8: 1,7 # F9: 1,7 => UNS
* INC # D8: 1,7 # D2: 1,7 => UNS
* INC # D8: 1,7 # D3: 1,7 => UNS
* INC # D8: 1,7 # D6: 1,7 => UNS
* INC # D8: 1,7 # F8: 6,9 => UNS
* INC # D8: 1,7 # F8: 4 => UNS
* INC # D8: 1,7 # E1: 6,9 => UNS
* INC # D8: 1,7 # E2: 6,9 => UNS
* INC # D8: 1,7 # I8: 3,9 => UNS
* INC # D8: 1,7 # I8: 4 => UNS
* INC # D8: 1,7 # G4: 3,9 => UNS
* INC # D8: 1,7 # G5: 3,9 => UNS
* INC # D8: 1,7 => UNS
* INC # E8: 1,7 # G2: 8,9 => UNS
* PRF # E8: 1,7 # I2: 8,9 => SOL
* STA # E8: 1,7 + I2: 8,9
* CNT  78 HDP CHAINS /  79 HYP OPENED