Analysis of xx-ph-00034540-12_05-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6....7.6..9.......5.78..4...3..2...1.....6.7...51....8....4.2.......8.9.3.. initial

Autosolve

position: 98.7..6....7.6..9.......5.78..4...3..2...1.....6.7...51....8....4.2.......8.9.3.. 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: 0:00:27.208492

The following important HDP chains were detected:

* DIS # A5: 3,4 # F4: 2,5 => CTR => F4: 6,9
* DIS # A5: 3,4 + F4: 6,9 # C7: 3,9 => CTR => C7: 2
* PRF # A5: 3,4 + F4: 6,9 + C7: 2 # A9: 5,6 => SOL
* STA # A5: 3,4 + F4: 6,9 + C7: 2 + A9: 5,6
* CNT   3 HDP CHAINS /  28 HYP OPENED

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

Details

Positions

98.7..6....7.6..9.......5.78..4...3..2...1.....6.7...51....8....4.2.......8.9.3.. initial
98.7..6....7.6..9.......5.78..4...3..2...1.....6.7...51....8....4.2.......8.9.3.. autosolve
984715623257863491613924587871459236325681974496372815132548769749236158568197342 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
A6: 3,4
E4: 2,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E8,D9: 1.. / E8 = 1  =>  3 pairs (_) / D9 = 1  =>  3 pairs (_)
C7,A9: 2.. / C7 = 2  =>  2 pairs (_) / A9 = 2  =>  2 pairs (_)
I1,I2: 3.. / I1 = 3  =>  2 pairs (_) / I2 = 3  =>  3 pairs (_)
E7,F9: 4.. / E7 = 4  =>  2 pairs (_) / F9 = 4  =>  3 pairs (_)
A3,B3: 6.. / A3 = 6  =>  3 pairs (_) / B3 = 6  =>  3 pairs (_)
F4,D5: 6.. / F4 = 6  =>  2 pairs (_) / D5 = 6  =>  7 pairs (_)
F4,I4: 6.. / F4 = 6  =>  2 pairs (_) / I4 = 6  =>  7 pairs (_)
B4,A5: 7.. / B4 = 7  =>  3 pairs (_) / A5 = 7  =>  2 pairs (_)
F8,F9: 7.. / F8 = 7  =>  2 pairs (_) / F9 = 7  =>  3 pairs (_)
B4,G4: 7.. / B4 = 7  =>  3 pairs (_) / G4 = 7  =>  2 pairs (_)
E3,E5: 8.. / E3 = 8  =>  3 pairs (_) / E5 = 8  =>  3 pairs (_)
D3,F3: 9.. / D3 = 9  =>  3 pairs (_) / F3 = 9  =>  3 pairs (_)
* DURATION: 0:00:07.336214  START: 17:03:08.926564  END: 17:03:16.262778 2020-12-14
* CP COUNT: (12)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:27.046856  START: 17:03:22.537418  END: 17:03:49.584274 2020-12-14
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00034540-12_05-base-pr-002.dot
* REASONING
* DIS # A5: 3,4 # F4: 2,5 => CTR => F4: 6,9
* DIS # A5: 3,4 + F4: 6,9 # C7: 3,9 => CTR => C7: 2
* PRF # A5: 3,4 + F4: 6,9 + C7: 2 # A9: 5,6 => SOL
* STA # A5: 3,4 + F4: 6,9 + C7: 2 + A9: 5,6
* CNT   3 HDP CHAINS /  28 HYP OPENED

Header Info

34540;12_05;GP;24;11.30;11.30;7.60

Solution

position: 984715623257863491613924587871459236325681974496372815132548769749236158568197342 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 # A5: 3,4 => UNS
* INC # C5: 3,4 => UNS
* INC # A2: 3,4 => UNS
* INC # A3: 3,4 => UNS
* INC # F4: 2,5 => UNS
* INC # F4: 6,9 => UNS
* INC # E1: 2,5 => UNS
* INC # E1: 1,3,4 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # A5: 3,4 => UNS
* INC # C5: 3,4 => UNS
* INC # A2: 3,4 => UNS
* INC # A3: 3,4 => UNS
* INC # F4: 2,5 => UNS
* INC # F4: 6,9 => UNS
* INC # E1: 2,5 => UNS
* INC # E1: 1,3,4 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # A5: 3,4 => UNS
* INC # C5: 3,4 => UNS
* INC # A2: 3,4 => UNS
* INC # A3: 3,4 => UNS
* INC # F4: 2,5 => UNS
* INC # F4: 6,9 => UNS
* INC # E1: 2,5 => UNS
* INC # E1: 1,3,4 => UNS
* INC # A5: 3,4 # A9: 2,5 => UNS
* INC # A5: 3,4 # A9: 6,7 => UNS
* INC # A5: 3,4 # A9: 2,6 => UNS
* INC # A5: 3,4 # A9: 5,7 => UNS
* INC # A5: 3,4 # C4: 5,9 => UNS
* INC # A5: 3,4 # C4: 1 => UNS
* INC # A5: 3,4 # D5: 5,9 => UNS
* INC # A5: 3,4 # D5: 3,6,8 => UNS
* INC # A5: 3,4 # C4: 1,9 => UNS
* INC # A5: 3,4 # C4: 5 => UNS
* INC # A5: 3,4 # G6: 1,9 => UNS
* INC # A5: 3,4 # G6: 2,4,8 => UNS
* DIS # A5: 3,4 # F4: 2,5 => CTR => F4: 6,9
* INC # A5: 3,4 + F4: 6,9 # E1: 2,5 => UNS
* INC # A5: 3,4 + F4: 6,9 # E1: 1,3,4 => UNS
* INC # A5: 3,4 + F4: 6,9 # B7: 3,9 => UNS
* DIS # A5: 3,4 + F4: 6,9 # C7: 3,9 => CTR => C7: 2
* INC # A5: 3,4 + F4: 6,9 + C7: 2 # A8: 5,6 => UNS
* PRF # A5: 3,4 + F4: 6,9 + C7: 2 # A9: 5,6 => SOL
* STA # A5: 3,4 + F4: 6,9 + C7: 2 + A9: 5,6
* CNT  27 HDP CHAINS /  28 HYP OPENED