Analysis of xx-ph-02320997-2019_03_16-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7..5..8....5.6....5.8....4..9.3..5..........63....7..2.7..1...5..96..7.. initial

Autosolve

position: 98.7..65.7..5..8....5.6....5.8....4..9.3..5..........63....7..2.7..1...5..96..7.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for B4,F4: 6..:

* DIS # B4: 6 # G4: 1,2 => CTR => G4: 3
* DIS # B4: 6 + G4: 3 # H6: 1,2 => CTR => H6: 7,9
* DIS # B4: 6 + G4: 3 + H6: 7,9 # H5: 7 => CTR => H5: 1,2
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 # C6: 1,2 => CTR => C6: 3,4,7
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 # G3: 4 => CTR => G3: 1,2
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 # B6: 1,2 => CTR => B6: 3,4
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 + B6: 3,4 # B7: 1,4 => CTR => B7: 5
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 + B6: 3,4 + B7: 5 # D8: 9 => CTR => D8: 2,4
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 + B6: 3,4 + B7: 5 + D8: 2,4 # C1: 2,4 => CTR => C1: 3
* PRF # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 + B6: 3,4 + B7: 5 + D8: 2,4 + C1: 3 => SOL
* STA B4: 6
* CNT  10 HDP CHAINS /  17 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..5..8....5.6....5.8....4..9.3..5..........63....7..2.7..1...5..96..7.. initial
98.7..65.7..5..8....5.6....5.8....4..9.3..5..........63....7..2.7..1...5..96..7.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
E6,F6: 5.. / E6 = 5  =>  0 pairs (_) / F6 = 5  =>  0 pairs (_)
B7,B9: 5.. / B7 = 5  =>  0 pairs (_) / B9 = 5  =>  0 pairs (_)
B7,E7: 5.. / B7 = 5  =>  0 pairs (_) / E7 = 5  =>  0 pairs (_)
F6,F9: 5.. / F6 = 5  =>  0 pairs (_) / F9 = 5  =>  0 pairs (_)
B2,C2: 6.. / B2 = 6  =>  0 pairs (_) / C2 = 6  =>  2 pairs (_)
F4,F5: 6.. / F4 = 6  =>  0 pairs (_) / F5 = 6  =>  4 pairs (_)
H7,H8: 6.. / H7 = 6  =>  1 pairs (_) / H8 = 6  =>  1 pairs (_)
B4,F4: 6.. / B4 = 6  =>  4 pairs (_) / F4 = 6  =>  0 pairs (_)
A5,A8: 6.. / A5 = 6  =>  0 pairs (_) / A8 = 6  =>  3 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  1 pairs (_)
C5,C6: 7.. / C5 = 7  =>  1 pairs (_) / C6 = 7  =>  0 pairs (_)
E4,I4: 7.. / E4 = 7  =>  0 pairs (_) / I4 = 7  =>  2 pairs (_)
D3,F3: 8.. / D3 = 8  =>  1 pairs (_) / F3 = 8  =>  0 pairs (_)
A8,A9: 8.. / A8 = 8  =>  0 pairs (_) / A9 = 8  =>  3 pairs (_)
I5,I9: 8.. / I5 = 8  =>  0 pairs (_) / I9 = 8  =>  2 pairs (_)
* DURATION: 0:00:09.277119  START: 07:57:51.884451  END: 07:58:01.161570 2020-10-13
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B4,F4: 6.. / B4 = 6 ==>  0 pairs (*) / F4 = 6  =>  0 pairs (X)
* DURATION: 0:00:21.635016  START: 07:58:01.162128  END: 07:58:22.797144 2020-10-13
* REASONING B4,F4: 6..
* DIS # B4: 6 # G4: 1,2 => CTR => G4: 3
* DIS # B4: 6 + G4: 3 # H6: 1,2 => CTR => H6: 7,9
* DIS # B4: 6 + G4: 3 + H6: 7,9 # H5: 7 => CTR => H5: 1,2
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 # C6: 1,2 => CTR => C6: 3,4,7
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 # G3: 4 => CTR => G3: 1,2
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 # B6: 1,2 => CTR => B6: 3,4
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 + B6: 3,4 # B7: 1,4 => CTR => B7: 5
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 + B6: 3,4 + B7: 5 # D8: 9 => CTR => D8: 2,4
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 + B6: 3,4 + B7: 5 + D8: 2,4 # C1: 2,4 => CTR => C1: 3
* PRF # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 + B6: 3,4 + B7: 5 + D8: 2,4 + C1: 3 => SOL
* STA B4: 6
* CNT  10 HDP CHAINS /  17 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

2320997;2019_03_16;PAQ;25;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B4,F4: 6..:

* DIS # B4: 6 # G4: 1,2 => CTR => G4: 3
* INC # B4: 6 + G4: 3 # H5: 1,2 => UNS
* DIS # B4: 6 + G4: 3 # H6: 1,2 => CTR => H6: 7,9
* INC # B4: 6 + G4: 3 + H6: 7,9 # H5: 1,2 => UNS
* DIS # B4: 6 + G4: 3 + H6: 7,9 # H5: 7 => CTR => H5: 1,2
* INC # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 # A6: 1,2 => UNS
* INC # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 # B6: 1,2 => UNS
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 # C6: 1,2 => CTR => C6: 3,4,7
* INC # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 # G3: 1,2 => UNS
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 # G3: 4 => CTR => G3: 1,2
* INC # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 # A6: 1,2 => UNS
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 # B6: 1,2 => CTR => B6: 3,4
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 + B6: 3,4 # B7: 1,4 => CTR => B7: 5
* INC # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 + B6: 3,4 + B7: 5 # D8: 2,4 => UNS
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 + B6: 3,4 + B7: 5 # D8: 9 => CTR => D8: 2,4
* DIS # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 + B6: 3,4 + B7: 5 + D8: 2,4 # C1: 2,4 => CTR => C1: 3
* PRF # B4: 6 + G4: 3 + H6: 7,9 + H5: 1,2 + C6: 3,4,7 + G3: 1,2 + B6: 3,4 + B7: 5 + D8: 2,4 + C1: 3 => SOL
* STA B4: 6
* CNT  17 HDP CHAINS /  17 HYP OPENED