Analysis of xx-ph-00053683-12_10-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6....7.65..........7.6.....4.3..95.......8.4..9...68...5.....52..6.....61.. initial

Autosolve

position: 98.7..6....7.65....6.....7.6.....4.3..95...6...864..9...68...5.....52..6.....61.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for G3,G6: 5..:

* DIS # G3: 5 # E4: 1,2 => CTR => E4: 7,8,9
* DIS # G3: 5 + E4: 7,8,9 # E5: 1,3 => CTR => E5: 2,8
* PRF # G3: 5 + E4: 7,8,9 + E5: 2,8 # F5: 8 => SOL
* STA # G3: 5 + E4: 7,8,9 + E5: 2,8 + F5: 8
* CNT   3 HDP CHAINS /  22 HYP OPENED

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

Details

This sudoku is deep. Here is some information that may be helpful on how to proceed.

Positions

98.7..6....7.65..........7.6.....4.3..95.......8.4..9...68...5.....52..6.....61.. initial
98.7..6....7.65....6.....7.6.....4.3..95...6...864..9...68...5.....52..6.....61.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
A5,B5: 4.. / A5 = 4  =>  0 pairs (_) / B5 = 4  =>  0 pairs (_)
B4,C4: 5.. / B4 = 5  =>  2 pairs (_) / C4 = 5  =>  0 pairs (_)
G6,I6: 5.. / G6 = 5  =>  0 pairs (_) / I6 = 5  =>  4 pairs (_)
C1,I1: 5.. / C1 = 5  =>  3 pairs (_) / I1 = 5  =>  0 pairs (_)
A3,A9: 5.. / A3 = 5  =>  0 pairs (_) / A9 = 5  =>  3 pairs (_)
B4,B9: 5.. / B4 = 5  =>  2 pairs (_) / B9 = 5  =>  0 pairs (_)
G3,G6: 5.. / G3 = 5  =>  4 pairs (_) / G6 = 5  =>  0 pairs (_)
E3,F3: 8.. / E3 = 8  =>  0 pairs (_) / F3 = 8  =>  0 pairs (_)
A8,A9: 8.. / A8 = 8  =>  1 pairs (_) / A9 = 8  =>  0 pairs (_)
* DURATION: 0:00:06.630509  START: 23:37:02.238191  END: 23:37:08.868700 2020-09-30
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G3,G6: 5.. / G3 = 5 ==>  0 pairs (*) / G6 = 5  =>  0 pairs (X)
* DURATION: 0:00:18.829554  START: 23:37:08.869330  END: 23:37:27.698884 2020-09-30
* REASONING G3,G6: 5..
* DIS # G3: 5 # E4: 1,2 => CTR => E4: 7,8,9
* DIS # G3: 5 + E4: 7,8,9 # E5: 1,3 => CTR => E5: 2,8
* PRF # G3: 5 + E4: 7,8,9 + E5: 2,8 # F5: 8 => SOL
* STA # G3: 5 + E4: 7,8,9 + E5: 2,8 + F5: 8
* CNT   3 HDP CHAINS /  22 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

53683;12_10;GP;24;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G3,G6: 5..:

* INC # G3: 5 # A5: 1,2 => UNS
* INC # G3: 5 # B5: 1,2 => UNS
* INC # G3: 5 # A6: 1,2 => UNS
* INC # G3: 5 # B6: 1,2 => UNS
* INC # G3: 5 # D4: 1,2 => UNS
* DIS # G3: 5 # E4: 1,2 => CTR => E4: 7,8,9
* INC # G3: 5 + E4: 7,8,9 # H4: 1,2 => UNS
* INC # G3: 5 + E4: 7,8,9 # C3: 1,2 => UNS
* INC # G3: 5 + E4: 7,8,9 # C3: 3,4 => UNS
* INC # G3: 5 + E4: 7,8,9 # A5: 1,2 => UNS
* INC # G3: 5 + E4: 7,8,9 # B5: 1,2 => UNS
* INC # G3: 5 + E4: 7,8,9 # A6: 1,2 => UNS
* INC # G3: 5 + E4: 7,8,9 # B6: 1,2 => UNS
* INC # G3: 5 + E4: 7,8,9 # D4: 1,2 => UNS
* INC # G3: 5 + E4: 7,8,9 # H4: 1,2 => UNS
* INC # G3: 5 + E4: 7,8,9 # C3: 1,2 => UNS
* INC # G3: 5 + E4: 7,8,9 # C3: 3,4 => UNS
* DIS # G3: 5 + E4: 7,8,9 # E5: 1,3 => CTR => E5: 2,8
* INC # G3: 5 + E4: 7,8,9 + E5: 2,8 # F5: 1,3 => UNS
* INC # G3: 5 + E4: 7,8,9 + E5: 2,8 # F5: 1,3 => UNS
* PRF # G3: 5 + E4: 7,8,9 + E5: 2,8 # F5: 8 => SOL
* STA # G3: 5 + E4: 7,8,9 + E5: 2,8 + F5: 8
* CNT  21 HDP CHAINS /  22 HYP OPENED