Analysis of xx-ph-00038293-12_07-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7.......7.6........5.7..4....3.2..3......1..98.....2......4..1......3..65..9.. initial

Autosolve

position: 98.7.......7.6........5.7..4....3.2..3......1..98.....29.....4..1......3..65..9.. 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: 0:00:19.594495

The following important HDP chains were detected:

* DIS # E9: 4,7 # C8: 5,8 => CTR => C8: 4
* DIS # E9: 4,7 + C8: 4 # C4: 5,8 => CTR => C4: 1
* PRF # E9: 4,7 + C8: 4 + C4: 1 # C5: 2 => SOL
* STA # E9: 4,7 + C8: 4 + C4: 1 + C5: 2
* CNT   3 HDP CHAINS /  17 HYP OPENED

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

Details

Positions

98.7.......7.6........5.7..4....3.2..3......1..98.....2......4..1......3..65..9.. initial
98.7.......7.6........5.7..4....3.2..3......1..98.....29.....4..1......3..65..9.. autosolve
985734162147268359623159784451693827832475691769821435298317546514986273376542918 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
B9: 4,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C4,A6: 1.. / C4 = 1  =>  3 pairs (_) / A6 = 1  =>  4 pairs (_)
G7,H9: 1.. / G7 = 1  =>  4 pairs (_) / H9 = 1  =>  1 pairs (_)
C5,B6: 2.. / C5 = 2  =>  1 pairs (_) / B6 = 2  =>  4 pairs (_)
G8,I9: 2.. / G8 = 2  =>  2 pairs (_) / I9 = 2  =>  1 pairs (_)
G6,H6: 3.. / G6 = 3  =>  1 pairs (_) / H6 = 3  =>  1 pairs (_)
C7,A9: 3.. / C7 = 3  =>  3 pairs (_) / A9 = 3  =>  4 pairs (_)
A9,E9: 3.. / A9 = 3  =>  4 pairs (_) / E9 = 3  =>  3 pairs (_)
C8,B9: 4.. / C8 = 4  =>  5 pairs (_) / B9 = 4  =>  3 pairs (_)
F5,F6: 5.. / F5 = 5  =>  2 pairs (_) / F6 = 5  =>  1 pairs (_)
A3,B3: 6.. / A3 = 6  =>  2 pairs (_) / B3 = 6  =>  3 pairs (_)
F2,F3: 8.. / F2 = 8  =>  1 pairs (_) / F3 = 8  =>  1 pairs (_)
I4,H5: 9.. / I4 = 9  =>  3 pairs (_) / H5 = 9  =>  1 pairs (_)
* DURATION: 0:00:09.733614  START: 05:17:19.220031  END: 05:17:28.953645 2020-12-17
* CP COUNT: (12)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:19.479878  START: 05:17:31.557287  END: 05:17:51.037165 2020-12-17
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00038293-12_07-base-pr-002.dot
* REASONING
* DIS # E9: 4,7 # C8: 5,8 => CTR => C8: 4
* DIS # E9: 4,7 + C8: 4 # C4: 5,8 => CTR => C4: 1
* PRF # E9: 4,7 + C8: 4 + C4: 1 # C5: 2 => SOL
* STA # E9: 4,7 + C8: 4 + C4: 1 + C5: 2
* CNT   3 HDP CHAINS /  17 HYP OPENED

Header Info

38293;12_07;GP;21;11.30;1.20;1.20

Solution

position: 985734162147268359623159784451693827832475691769821435298317546514986273376542918 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 # E9: 4,7 => UNS
* INC # F9: 4,7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # E9: 4,7 => UNS
* INC # F9: 4,7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # E9: 4,7 => UNS
* INC # F9: 4,7 => UNS
* INC # E9: 4,7 # C1: 1,5 => UNS
* INC # E9: 4,7 # C1: 2,3,4 => UNS
* INC # E9: 4,7 # G2: 1,5 => UNS
* INC # E9: 4,7 # H2: 1,5 => UNS
* INC # E9: 4,7 # A6: 1,5 => UNS
* INC # E9: 4,7 # A6: 6,7 => UNS
* INC # E9: 4,7 # A6: 1,6 => UNS
* INC # E9: 4,7 # A6: 5,7 => UNS
* INC # E9: 4,7 # A8: 5,8 => UNS
* DIS # E9: 4,7 # C8: 5,8 => CTR => C8: 4
* DIS # E9: 4,7 + C8: 4 # C4: 5,8 => CTR => C4: 1
* INC # E9: 4,7 + C8: 4 + C4: 1 # C5: 5,8 => UNS
* INC # E9: 4,7 + C8: 4 + C4: 1 # C5: 5,8 => UNS
* PRF # E9: 4,7 + C8: 4 + C4: 1 # C5: 2 => SOL
* STA # E9: 4,7 + C8: 4 + C4: 1 + C5: 2
* CNT  16 HDP CHAINS /  17 HYP OPENED