Analysis of xx-ph-00973729-13_03-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6....5.9..8....4....55...8..6..3...2..9..6..7...1.3..4....5..3..1.......2.. initial

Autosolve

position: 98.7..6....5.9..8....4.8..55...8..6..3...2..9..6..7...1.3..4....5..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: 0:00:23.056826

The following important HDP chains were detected:

* DIS # D9: 6,9 # D7: 5 => CTR => D7: 2,8
* PRF # D9: 6,9 + D7: 2,8 # B6: 1,4 => SOL
* STA # D9: 6,9 + D7: 2,8 + B6: 1,4
* CNT   2 HDP CHAINS /  32 HYP OPENED

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

Details

Positions

98.7..6....5.9..8....4....55...8..6..3...2..9..6..7...1.3..4....5..3..1.......2.. initial
98.7..6....5.9..8....4.8..55...8..6..3...2..9..6..7...1.3..4....5..3..1.......2.. autosolve
984753621725196384361428975549381762837562149216947538193274856652839417478615293 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
F8: 6,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A2,A3: 3.. / A2 = 3  =>  7 pairs (_) / A3 = 3  =>  1 pairs (_)
H9,I9: 3.. / H9 = 3  =>  2 pairs (_) / I9 = 3  =>  1 pairs (_)
E5,E6: 4.. / E5 = 4  =>  4 pairs (_) / E6 = 4  =>  2 pairs (_)
E1,F1: 5.. / E1 = 5  =>  3 pairs (_) / F1 = 5  =>  2 pairs (_)
F1,F9: 5.. / F1 = 5  =>  2 pairs (_) / F9 = 5  =>  3 pairs (_)
D5,E5: 6.. / D5 = 6  =>  1 pairs (_) / E5 = 6  =>  4 pairs (_)
E7,E9: 7.. / E7 = 7  =>  3 pairs (_) / E9 = 7  =>  1 pairs (_)
G3,H3: 9.. / G3 = 9  =>  1 pairs (_) / H3 = 9  =>  2 pairs (_)
B6,D6: 9.. / B6 = 9  =>  1 pairs (_) / D6 = 9  =>  6 pairs (_)
* DURATION: 0:00:05.481830  START: 01:56:38.704757  END: 01:56:44.186587 2021-01-04
* CP COUNT: (9)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:22.893016  START: 01:56:47.556814  END: 01:57:10.449830 2021-01-04
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00973729-13_03-base-pr-002.dot
* REASONING
* DIS # D9: 6,9 # D7: 5 => CTR => D7: 2,8
* PRF # D9: 6,9 + D7: 2,8 # B6: 1,4 => SOL
* STA # D9: 6,9 + D7: 2,8 + B6: 1,4
* CNT   2 HDP CHAINS /  32 HYP OPENED

Header Info

973729;13_03;GP;24;11.30;1.20;1.20

Solution

position: 984753621725196384361428975549381762837562149216947538193274856652839417478615293 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 # D7: 6,9 => UNS
* INC # D8: 6,9 => UNS
* INC # D9: 6,9 => UNS
* INC # F9: 6,9 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # D7: 6,9 => UNS
* INC # D8: 6,9 => UNS
* INC # D9: 6,9 => UNS
* INC # F9: 6,9 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # D7: 6,9 => UNS
* INC # D8: 6,9 => UNS
* INC # D9: 6,9 => UNS
* INC # F9: 6,9 => UNS
* INC # D7: 6,9 # B7: 6,9 => UNS
* INC # D7: 6,9 # B7: 2,7 => UNS
* INC # D7: 6,9 # A8: 2,8 => UNS
* INC # D7: 6,9 # C8: 2,8 => UNS
* INC # D7: 6,9 # D9: 1,5 => UNS
* INC # D7: 6,9 # E9: 1,5 => UNS
* INC # D7: 6,9 # F1: 1,5 => UNS
* INC # D7: 6,9 # F1: 3 => UNS
* INC # D7: 6,9 => UNS
* INC # D8: 6,9 # D9: 1,5 => UNS
* INC # D8: 6,9 # E9: 1,5 => UNS
* INC # D8: 6,9 # F1: 1,5 => UNS
* INC # D8: 6,9 # F1: 3 => UNS
* INC # D8: 6,9 => UNS
* INC # D9: 6,9 # D7: 2,8 => UNS
* DIS # D9: 6,9 # D7: 5 => CTR => D7: 2,8
* INC # D9: 6,9 + D7: 2,8 # A8: 2,8 => UNS
* INC # D9: 6,9 + D7: 2,8 # C8: 2,8 => UNS
* INC # D9: 6,9 + D7: 2,8 # B9: 6,9 => UNS
* INC # D9: 6,9 + D7: 2,8 # B9: 4,7 => UNS
* INC # D9: 6,9 + D7: 2,8 # E9: 1,5 => UNS
* INC # D9: 6,9 + D7: 2,8 # E9: 7 => UNS
* INC # D9: 6,9 + D7: 2,8 # F1: 1,5 => UNS
* INC # D9: 6,9 + D7: 2,8 # F1: 3 => UNS
* INC # D9: 6,9 + D7: 2,8 # E5: 1,4 => UNS
* INC # D9: 6,9 + D7: 2,8 # E5: 6 => UNS
* PRF # D9: 6,9 + D7: 2,8 # B6: 1,4 => SOL
* STA # D9: 6,9 + D7: 2,8 + B6: 1,4
* CNT  31 HDP CHAINS /  32 HYP OPENED