Analysis of xx-ph-01001103-13_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..8...4....7.69.3...2...1...3..........632.8....7..9.7..6.....9.2.. initial

Autosolve

position: 98.7..6..7...5..8...4....7.69.3...2...1...3..........632.8....7..9.7..6.....9.2.. 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: 0:00:14.458043

The following important HDP chains were detected:

* PRF # B9: 5,6 # D8: 1,4 => SOL
* STA # B9: 5,6 + D8: 1,4
* CNT   1 HDP CHAINS /  15 HYP OPENED

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

Details

Positions

`98.7..6..7...5..8...4....7.69.3...2...1...3..........632.8....7..9.7..6.....9.2..`	initial
`98.7..6..7...5..8...4....7.69.3...2...1...3..........632.8....7..9.7..6.....9.2..`	autosolve
`982741635736259481514638972698315724271486359453927816325864197849172563167593248`	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
C7: 5,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D8,F8: 2.. / D8 = 2  =>  1 pairs (_) / F8 = 2  =>  3 pairs (_)
E1,E3: 3.. / E1 = 3  =>  2 pairs (_) / E3 = 3  =>  1 pairs (_)
B6,C6: 3.. / B6 = 3  =>  2 pairs (_) / C6 = 3  =>  6 pairs (_)
F8,F9: 3.. / F8 = 3  =>  1 pairs (_) / F9 = 3  =>  2 pairs (_)
F8,I8: 3.. / F8 = 3  =>  1 pairs (_) / I8 = 3  =>  2 pairs (_)
H1,H9: 3.. / H1 = 3  =>  2 pairs (_) / H9 = 3  =>  1 pairs (_)
G4,G6: 7.. / G4 = 7  =>  2 pairs (_) / G6 = 7  =>  1 pairs (_)
B9,C9: 7.. / B9 = 7  =>  3 pairs (_) / C9 = 7  =>  2 pairs (_)
B5,F5: 7.. / B5 = 7  =>  2 pairs (_) / F5 = 7  =>  2 pairs (_)
E3,F3: 8.. / E3 = 8  =>  3 pairs (_) / F3 = 8  =>  1 pairs (_)
G7,H7: 9.. / G7 = 9  =>  3 pairs (_) / H7 = 9  =>  2 pairs (_)
* DURATION: 0:00:08.217544  START: 11:45:19.440720  END: 11:45:27.658264 2020-10-22
* CP COUNT: (11)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:14.345495  START: 11:45:31.454093  END: 11:45:45.799588 2020-10-22
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-01001103-13_07-base-pr-002.dot
* REASONING
* PRF # B9: 5,6 # D8: 1,4 => SOL
* STA # B9: 5,6 + D8: 1,4
* CNT   1 HDP CHAINS /  15 HYP OPENED

Header Info

1001103;13_07;GP;25;11.40;11.40;2.60

Solution

position: 982741635736259481514638972698315724271486359453927816325864197849172563167593248 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 # B9: 5,6 => UNS
* INC # C9: 5,6 => UNS
* INC # F7: 5,6 => UNS
* INC # F7: 1,4 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # B9: 5,6 => UNS
* INC # C9: 5,6 => UNS
* INC # F7: 5,6 => UNS
* INC # F7: 1,4 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # B9: 5,6 => UNS
* INC # C9: 5,6 => UNS
* INC # F7: 5,6 => UNS
* INC # F7: 1,4 => UNS
* INC # B9: 5,6 # C6: 5,8 => UNS
* INC # B9: 5,6 # C6: 2,3 => UNS
* INC # B9: 5,6 # F4: 5,8 => UNS
* INC # B9: 5,6 # G4: 5,8 => UNS
* INC # B9: 5,6 # I4: 5,8 => UNS
* INC # B9: 5,6 # F7: 5,6 => UNS
* INC # B9: 5,6 # F7: 1,4 => UNS
* INC # B9: 5,6 # A8: 1,4 => UNS
* INC # B9: 5,6 # A9: 1,4 => UNS
* PRF # B9: 5,6 # D8: 1,4 => SOL
* STA # B9: 5,6 + D8: 1,4
* CNT  14 HDP CHAINS /  15 HYP OPENED