Analysis of xx-ph-00676607-12_12_19-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: .......12.....1..3...23.4....1..5....2.16..4.7....83....9...1...3.6....41...8.6.. initial

Autosolve

position: .......12.....1..3.1.23.4....1..5....2.16..4.7....83.1..9...1...3.61...41...8.6.. 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: 0:00:44.574304

The following important HDP chains were detected:

* DIS # E6: 4,9 # C2: 5,6 => CTR => C2: 2,4,7,8
* DIS # E6: 4,9 + C2: 2,4,7,8 # F7: 3,7 => CTR => F7: 2,4
* PRF # E6: 4,9 + C2: 2,4,7,8 + F7: 2,4 # F9: 2,4,9 => SOL
* STA # E6: 4,9 + C2: 2,4,7,8 + F7: 2,4 + F9: 2,4,9
* CNT   3 HDP CHAINS /  62 HYP OPENED

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

Details

Positions

.......12.....1..3...23.4....1..5....2.16..4.7....83....9...1...3.6....41...8.6.. initial
.......12.....1..3.1.23.4....1..5....2.16..4.7....83.1..9...1...3.61...41...8.6.. autosolve
483576912692841753517239486341725869928163547756498321269354178835617294174982635 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
D6: 4,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A2,C2: 2.. / A2 = 2  =>  2 pairs (_) / C2 = 2  =>  1 pairs (_)
E4,E6: 2.. / E4 = 2  =>  9 pairs (_) / E6 = 2  =>  1 pairs (_)
E6,H6: 2.. / E6 = 2  =>  1 pairs (_) / H6 = 2  =>  9 pairs (_)
G4,G8: 2.. / G4 = 2  =>  1 pairs (_) / G8 = 2  =>  3 pairs (_)
A1,C1: 3.. / A1 = 3  =>  2 pairs (_) / C1 = 3  =>  2 pairs (_)
D4,F5: 3.. / D4 = 3  =>  2 pairs (_) / F5 = 3  =>  2 pairs (_)
H7,H9: 3.. / H7 = 3  =>  1 pairs (_) / H9 = 3  =>  1 pairs (_)
A4,D4: 3.. / A4 = 3  =>  2 pairs (_) / D4 = 3  =>  2 pairs (_)
C1,C5: 3.. / C1 = 3  =>  2 pairs (_) / C5 = 3  =>  2 pairs (_)
F1,F3: 6.. / F1 = 6  =>  3 pairs (_) / F3 = 6  =>  1 pairs (_)
A7,B7: 6.. / A7 = 6  =>  1 pairs (_) / B7 = 6  =>  1 pairs (_)
I3,I4: 6.. / I3 = 6  =>  3 pairs (_) / I4 = 6  =>  1 pairs (_)
D1,D2: 8.. / D1 = 8  =>  1 pairs (_) / D2 = 8  =>  1 pairs (_)
* DURATION: 0:00:09.049127  START: 13:54:27.392160  END: 13:54:36.441287 2020-12-29
* CP COUNT: (13)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:44.270520  START: 13:54:43.951753  END: 13:55:28.222273 2020-12-29
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00676607-12_12_19-base-pr-002.dot
* REASONING
* DIS # E6: 4,9 # C2: 5,6 => CTR => C2: 2,4,7,8
* DIS # E6: 4,9 + C2: 2,4,7,8 # F7: 3,7 => CTR => F7: 2,4
* PRF # E6: 4,9 + C2: 2,4,7,8 + F7: 2,4 # F9: 2,4,9 => SOL
* STA # E6: 4,9 + C2: 2,4,7,8 + F7: 2,4 + F9: 2,4,9
* CNT   3 HDP CHAINS /  62 HYP OPENED

Header Info

676607;12_12_19;dob;24;11.30;1.20;1.20

Solution

position: 483576912692841753517239486341725869928163547756498321269354178835617294174982635 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 # D4: 4,9 => UNS
* INC # E4: 4,9 => UNS
* INC # E6: 4,9 => UNS
* INC # B6: 4,9 => UNS
* INC # B6: 5,6 => UNS
* INC # D1: 4,9 => UNS
* INC # D2: 4,9 => UNS
* INC # D9: 4,9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # D4: 4,9 => UNS
* INC # E4: 4,9 => UNS
* INC # E6: 4,9 => UNS
* INC # B6: 4,9 => UNS
* INC # B6: 5,6 => UNS
* INC # D1: 4,9 => UNS
* INC # D2: 4,9 => UNS
* INC # D9: 4,9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # D4: 4,9 => UNS
* INC # E4: 4,9 => UNS
* INC # E6: 4,9 => UNS
* INC # B6: 4,9 => UNS
* INC # B6: 5,6 => UNS
* INC # D1: 4,9 => UNS
* INC # D2: 4,9 => UNS
* INC # D9: 4,9 => UNS
* INC # D4: 4,9 # F1: 6,7 => UNS
* INC # D4: 4,9 # F1: 4 => UNS
* INC # D4: 4,9 # C3: 6,7 => UNS
* INC # D4: 4,9 # H3: 6,7 => UNS
* INC # D4: 4,9 # I3: 6,7 => UNS
* INC # D4: 4,9 # A5: 5,8 => UNS
* INC # D4: 4,9 # A5: 9 => UNS
* INC # D4: 4,9 # G5: 5,8 => UNS
* INC # D4: 4,9 # I5: 5,8 => UNS
* INC # D4: 4,9 # C2: 5,8 => UNS
* INC # D4: 4,9 # C3: 5,8 => UNS
* INC # D4: 4,9 # C8: 5,8 => UNS
* INC # D4: 4,9 # B4: 4,9 => UNS
* INC # D4: 4,9 # B4: 6,8 => UNS
* INC # D4: 4,9 # B6: 4,9 => UNS
* INC # D4: 4,9 # B6: 5,6 => UNS
* INC # D4: 4,9 # A7: 4,5 => UNS
* INC # D4: 4,9 # B7: 4,5 => UNS
* INC # D4: 4,9 # E1: 4,5 => UNS
* INC # D4: 4,9 # E2: 4,5 => UNS
* INC # D4: 4,9 => UNS
* INC # E4: 4,9 # D7: 3,7 => UNS
* INC # E4: 4,9 # D9: 3,7 => UNS
* INC # E4: 4,9 # A4: 4,9 => UNS
* INC # E4: 4,9 # B4: 4,9 => UNS
* INC # E4: 4,9 # E1: 4,9 => UNS
* INC # E4: 4,9 # E2: 4,9 => UNS
* INC # E4: 4,9 # F7: 3,7 => UNS
* INC # E4: 4,9 # F9: 3,7 => UNS
* INC # E4: 4,9 # B6: 4,9 => UNS
* INC # E4: 4,9 # B6: 5,6 => UNS
* INC # E4: 4,9 # D1: 4,9 => UNS
* INC # E4: 4,9 # D2: 4,9 => UNS
* INC # E4: 4,9 # D9: 4,9 => UNS
* INC # E4: 4,9 => UNS
* INC # E6: 4,9 # A4: 3,8 => UNS
* INC # E6: 4,9 # A5: 3,8 => UNS
* INC # E6: 4,9 # C1: 3,8 => UNS
* INC # E6: 4,9 # C1: 4,5,6,7 => UNS
* INC # E6: 4,9 # B1: 5,6 => UNS
* INC # E6: 4,9 # B2: 5,6 => UNS
* INC # E6: 4,9 # B7: 5,6 => UNS
* INC # E6: 4,9 # C1: 5,6 => UNS
* DIS # E6: 4,9 # C2: 5,6 => CTR => C2: 2,4,7,8
* INC # E6: 4,9 + C2: 2,4,7,8 # C3: 5,6 => UNS
* INC # E6: 4,9 + C2: 2,4,7,8 # C1: 5,6 => UNS
* INC # E6: 4,9 + C2: 2,4,7,8 # C3: 5,6 => UNS
* INC # E6: 4,9 + C2: 2,4,7,8 # D7: 3,7 => UNS
* INC # E6: 4,9 + C2: 2,4,7,8 # D9: 3,7 => UNS
* DIS # E6: 4,9 + C2: 2,4,7,8 # F7: 3,7 => CTR => F7: 2,4
* INC # E6: 4,9 + C2: 2,4,7,8 + F7: 2,4 # F9: 3,7 => UNS
* INC # E6: 4,9 + C2: 2,4,7,8 + F7: 2,4 # F9: 3,7 => UNS
* PRF # E6: 4,9 + C2: 2,4,7,8 + F7: 2,4 # F9: 2,4,9 => SOL
* STA # E6: 4,9 + C2: 2,4,7,8 + F7: 2,4 + F9: 2,4,9
* CNT  61 HDP CHAINS /  62 HYP OPENED