Analysis of xx-ph-00116940-12_11-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6.....9.........5..4.73....9...6....8.3..2....5.3..6....8..1.4.........2... initial

Autosolve

position: 98.7..6.....9...8.....5..4973....9...6....8.3..2....5.3..6....8..1.4.........2... autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for C1,I1: 5..:

* DIS # C1: 5 # H1: 1,2 => CTR => H1: 3
* DIS # C1: 5 + H1: 3 # I2: 1,2 => CTR => I2: 5,7
* PRF # C1: 5 + H1: 3 + I2: 5,7 # D4: 4,8 => SOL
* STA # C1: 5 + H1: 3 + I2: 5,7 + D4: 4,8
* CNT   3 HDP CHAINS /  14 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.....9.........5..4.73....9...6....8.3..2....5.3..6....8..1.4.........2... initial
98.7..6.....9...8.....5..4973....9...6....8.3..2....5.3..6....8..1.4.........2... autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
F1,F2: 4.. / F1 = 4  =>  1 pairs (_) / F2 = 4  =>  3 pairs (_)
C1,F1: 4.. / C1 = 4  =>  3 pairs (_) / F1 = 4  =>  1 pairs (_)
C1,I1: 5.. / C1 = 5  =>  4 pairs (_) / I1 = 5  =>  1 pairs (_)
D3,F3: 8.. / D3 = 8  =>  1 pairs (_) / F3 = 8  =>  0 pairs (_)
C4,A6: 8.. / C4 = 8  =>  1 pairs (_) / A6 = 8  =>  2 pairs (_)
C4,C9: 8.. / C4 = 8  =>  1 pairs (_) / C9 = 8  =>  2 pairs (_)
C5,B6: 9.. / C5 = 9  =>  1 pairs (_) / B6 = 9  =>  2 pairs (_)
* DURATION: 0:00:04.310987  START: 03:27:49.327209  END: 03:27:53.638196 2020-12-23
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C1,I1: 5.. / C1 = 5 ==>  0 pairs (*) / I1 = 5  =>  0 pairs (X)
* DURATION: 0:00:12.183538  START: 03:27:53.638792  END: 03:28:05.822330 2020-12-23
* REASONING C1,I1: 5..
* DIS # C1: 5 # H1: 1,2 => CTR => H1: 3
* DIS # C1: 5 + H1: 3 # I2: 1,2 => CTR => I2: 5,7
* PRF # C1: 5 + H1: 3 + I2: 5,7 # D4: 4,8 => SOL
* STA # C1: 5 + H1: 3 + I2: 5,7 + D4: 4,8
* CNT   3 HDP CHAINS /  14 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

116940;12_11;GP;21;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C1,I1: 5..:

* DIS # C1: 5 # H1: 1,2 => CTR => H1: 3
* INC # C1: 5 + H1: 3 # G2: 1,2 => UNS
* DIS # C1: 5 + H1: 3 # I2: 1,2 => CTR => I2: 5,7
* INC # C1: 5 + H1: 3 + I2: 5,7 # G3: 1,2 => UNS
* INC # C1: 5 + H1: 3 + I2: 5,7 # I4: 1,2 => UNS
* INC # C1: 5 + H1: 3 + I2: 5,7 # I4: 4,6 => UNS
* INC # C1: 5 + H1: 3 + I2: 5,7 # G2: 1,2 => UNS
* INC # C1: 5 + H1: 3 + I2: 5,7 # G3: 1,2 => UNS
* INC # C1: 5 + H1: 3 + I2: 5,7 # I4: 1,2 => UNS
* INC # C1: 5 + H1: 3 + I2: 5,7 # I4: 4,6 => UNS
* INC # C1: 5 + H1: 3 + I2: 5,7 # A6: 4,8 => UNS
* INC # C1: 5 + H1: 3 + I2: 5,7 # A6: 1 => UNS
* PRF # C1: 5 + H1: 3 + I2: 5,7 # D4: 4,8 => SOL
* STA # C1: 5 + H1: 3 + I2: 5,7 + D4: 4,8
* CNT  13 HDP CHAINS /  14 HYP OPENED