Analysis of xx-ph-00034501-12_05-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6.....9.........5..4.73....8...6....9.3..2....5.3..6....7..1..4.......2.... initial

Autosolve

position: 98.7..6.....9.........5..4973....8...6....9.3..2....5.3..6....7..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 # H2: 1,2 => CTR => H2: 7,8
* DIS # C1: 5 + H1: 3 + H2: 7,8 # I2: 1,2 => CTR => I2: 5,8
* PRF # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # C7: 9 => SOL
* STA # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 + C7: 9
* CNT   4 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.....9.........5..4.73....8...6....9.3..2....5.3..6....7..1..4.......2.... initial
98.7..6.....9.........5..4973....8...6....9.3..2....5.3..6....7..1..4.......2.... autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
E1,E2: 4.. / E1 = 4  =>  1 pairs (_) / E2 = 4  =>  4 pairs (_)
C1,E1: 4.. / C1 = 4  =>  4 pairs (_) / E1 = 4  =>  1 pairs (_)
C1,I1: 5.. / C1 = 5  =>  6 pairs (_) / I1 = 5  =>  1 pairs (_)
H5,G6: 7.. / H5 = 7  =>  2 pairs (_) / G6 = 7  =>  1 pairs (_)
E8,F9: 7.. / E8 = 7  =>  1 pairs (_) / F9 = 7  =>  1 pairs (_)
B8,E8: 7.. / B8 = 7  =>  1 pairs (_) / E8 = 7  =>  1 pairs (_)
H2,H5: 7.. / H2 = 7  =>  1 pairs (_) / H5 = 7  =>  2 pairs (_)
D3,F3: 8.. / D3 = 8  =>  1 pairs (_) / F3 = 8  =>  0 pairs (_)
H2,I2: 8.. / H2 = 8  =>  2 pairs (_) / I2 = 8  =>  0 pairs (_)
C4,B6: 9.. / C4 = 9  =>  2 pairs (_) / B6 = 9  =>  2 pairs (_)
* DURATION: 0:00:06.418436  START: 14:36:38.476966  END: 14:36:44.895402 2020-12-14
* CP COUNT: (10)
* INCONCLUSIVE

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* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C1,I1: 5.. / C1 = 5 ==>  0 pairs (*) / I1 = 5  =>  0 pairs (X)
* DURATION: 0:00:18.680261  START: 14:36:44.896020  END: 14:37:03.576281 2020-12-14
* REASONING C1,I1: 5..
* DIS # C1: 5 # H1: 1,2 => CTR => H1: 3
* DIS # C1: 5 + H1: 3 # H2: 1,2 => CTR => H2: 7,8
* DIS # C1: 5 + H1: 3 + H2: 7,8 # I2: 1,2 => CTR => I2: 5,8
* PRF # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # C7: 9 => SOL
* STA # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 + C7: 9
* CNT   4 HDP CHAINS /  22 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

34501;12_05;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 # H2: 1,2 => CTR => H2: 7,8
* DIS # C1: 5 + H1: 3 + H2: 7,8 # I2: 1,2 => CTR => I2: 5,8
* INC # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # G3: 1,2 => UNS
* INC # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # I4: 1,2 => UNS
* INC # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # I4: 4,6 => UNS
* INC # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # G2: 1,2 => UNS
* INC # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # G3: 1,2 => UNS
* INC # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # I4: 1,2 => UNS
* INC # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # I4: 4,6 => UNS
* INC # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # B6: 4,9 => UNS
* INC # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # B6: 1 => UNS
* INC # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # C7: 4,9 => UNS
* INC # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # C7: 8 => UNS
* INC # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # A6: 4,8 => UNS
* INC # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # A6: 1 => UNS
* INC # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # D5: 4,8 => UNS
* INC # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # D5: 1,2 => UNS
* INC # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # C7: 4,8 => UNS
* PRF # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 # C7: 9 => SOL
* STA # C1: 5 + H1: 3 + H2: 7,8 + I2: 5,8 + C7: 9
* CNT  21 HDP CHAINS /  22 HYP OPENED