Analysis of xx-ph-00034242-12_05-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7.....6...5.9....4....3..9.5.......2..1..4....8.6...7.6..8.......3..1.......2. initial

Autosolve

position: 98.7.....6...5.9....4....3..9.5.......2..1..4....8.6...7.6..8.......3..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: 0:00:41.130237

The following important HDP chains were detected:

* DIS # E5: 3,9 # H5: 5,7 => CTR => H5: 8
* DIS # E5: 3,9 + H5: 8 # G3: 5,7 => CTR => G3: 1,2
* DIS # E5: 3,9 + H5: 8 + G3: 1,2 # D3: 1,2 => CTR => D3: 8,9
* DIS # E5: 3,9 + H5: 8 + G3: 1,2 + D3: 8,9 # E3: 1,2 => CTR => E3: 6,9
* DIS # E5: 3,9 + H5: 8 + G3: 1,2 + D3: 8,9 + E3: 6,9 # G4: 1,2 => CTR => G4: 3,7
* PRF # E5: 3,9 + H5: 8 + G3: 1,2 + D3: 8,9 + E3: 6,9 + G4: 3,7 => SOL
* STA E5: 3,9
* CNT   6 HDP CHAINS /  25 HYP OPENED

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

Details

Positions

98.7.....6...5.9....4....3..9.5.......2..1..4....8.6...7.6..8.......3..1.......2. initial
98.7.....6...5.9....4....3..9.5.......2..1..4....8.6...7.6..8.......3..1.......2. autosolve
983714265617352948254869137198546372762931584345287619471625893826493751539178426 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
D5: 3,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E1,D2: 3.. / E1 = 3  =>  2 pairs (_) / D2 = 3  =>  3 pairs (_)
C1,E1: 3.. / C1 = 3  =>  3 pairs (_) / E1 = 3  =>  2 pairs (_)
F7,F9: 5.. / F7 = 5  =>  3 pairs (_) / F9 = 5  =>  1 pairs (_)
C4,B5: 6.. / C4 = 6  =>  2 pairs (_) / B5 = 6  =>  1 pairs (_)
H8,I9: 6.. / H8 = 6  =>  1 pairs (_) / I9 = 6  =>  3 pairs (_)
B5,E5: 6.. / B5 = 6  =>  1 pairs (_) / E5 = 6  =>  2 pairs (_)
H1,H8: 6.. / H1 = 6  =>  3 pairs (_) / H8 = 6  =>  1 pairs (_)
C2,A3: 7.. / C2 = 7  =>  2 pairs (_) / A3 = 7  =>  2 pairs (_)
A5,H5: 8.. / A5 = 8  =>  1 pairs (_) / H5 = 8  =>  2 pairs (_)
* DURATION: 0:00:07.313591  START: 03:06:42.871198  END: 03:06:50.184789 2020-12-14
* CP COUNT: (9)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:40.957637  START: 03:06:52.853971  END: 03:07:33.811608 2020-12-14
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00034242-12_05-base-pr-002.dot
* REASONING
* DIS # E5: 3,9 # H5: 5,7 => CTR => H5: 8
* DIS # E5: 3,9 + H5: 8 # G3: 5,7 => CTR => G3: 1,2
* DIS # E5: 3,9 + H5: 8 + G3: 1,2 # D3: 1,2 => CTR => D3: 8,9
* DIS # E5: 3,9 + H5: 8 + G3: 1,2 + D3: 8,9 # E3: 1,2 => CTR => E3: 6,9
* DIS # E5: 3,9 + H5: 8 + G3: 1,2 + D3: 8,9 + E3: 6,9 # G4: 1,2 => CTR => G4: 3,7
* PRF # E5: 3,9 + H5: 8 + G3: 1,2 + D3: 8,9 + E3: 6,9 + G4: 3,7 => SOL
* STA E5: 3,9
* CNT   6 HDP CHAINS /  25 HYP OPENED

Header Info

34242;12_05;GP;21;11.30;11.30;9.90

Solution

position: 983714265617352948254869137198546372762931584345287619471625893826493751539178426 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 # E5: 3,9 => UNS
* INC # D6: 3,9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # E5: 3,9 => UNS
* INC # D6: 3,9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # E5: 3,9 => UNS
* INC # D6: 3,9 => UNS
* INC # E5: 3,9 # E4: 2,4 => UNS
* INC # E5: 3,9 # F4: 2,4 => UNS
* INC # E5: 3,9 # F6: 2,4 => UNS
* INC # E5: 3,9 # D2: 2,4 => UNS
* INC # E5: 3,9 # D8: 2,4 => UNS
* DIS # E5: 3,9 # H5: 5,7 => CTR => H5: 8
* INC # E5: 3,9 + H5: 8 # H6: 5,7 => UNS
* INC # E5: 3,9 + H5: 8 # I6: 5,7 => UNS
* DIS # E5: 3,9 + H5: 8 # G3: 5,7 => CTR => G3: 1,2
* INC # E5: 3,9 + H5: 8 + G3: 1,2 # G8: 5,7 => UNS
* INC # E5: 3,9 + H5: 8 + G3: 1,2 # G9: 5,7 => UNS
* INC # E5: 3,9 + H5: 8 + G3: 1,2 # H6: 5,7 => UNS
* INC # E5: 3,9 + H5: 8 + G3: 1,2 # I6: 5,7 => UNS
* INC # E5: 3,9 + H5: 8 + G3: 1,2 # G8: 5,7 => UNS
* INC # E5: 3,9 + H5: 8 + G3: 1,2 # G9: 5,7 => UNS
* INC # E5: 3,9 + H5: 8 + G3: 1,2 # G1: 1,2 => UNS
* INC # E5: 3,9 + H5: 8 + G3: 1,2 # G1: 4,5 => UNS
* INC # E5: 3,9 + H5: 8 + G3: 1,2 # A3: 1,2 => UNS
* INC # E5: 3,9 + H5: 8 + G3: 1,2 # B3: 1,2 => UNS
* DIS # E5: 3,9 + H5: 8 + G3: 1,2 # D3: 1,2 => CTR => D3: 8,9
* DIS # E5: 3,9 + H5: 8 + G3: 1,2 + D3: 8,9 # E3: 1,2 => CTR => E3: 6,9
* DIS # E5: 3,9 + H5: 8 + G3: 1,2 + D3: 8,9 + E3: 6,9 # G4: 1,2 => CTR => G4: 3,7
* PRF # E5: 3,9 + H5: 8 + G3: 1,2 + D3: 8,9 + E3: 6,9 + G4: 3,7 => SOL
* STA E5: 3,9
* CNT  25 HDP CHAINS /  25 HYP OPENED