Analysis of xx-ph-00014011-kz0-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....75....6....6.......4.....3...8.9.5.....2...81..7.5.8.....3...4......1..2 initial

Autosolve

position: 98.76....75....6....6.......4.....3...8.9.5.....2...81..7.5.8.....3...4......1..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 G4,H5: 2..:

* DIS # H5: 2 # G3: 1,9 => CTR => G3: 2,3,4,7
* DIS # H5: 2 + G3: 2,3,4,7 # G6: 7,9 => CTR => G6: 4
* DIS # H5: 2 + G3: 2,3,4,7 + G6: 4 # G8: 7,9 => CTR => G8: 1
* DIS # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 # G9: 3 => CTR => G9: 7,9
* DIS # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 # H3: 1,9 => CTR => H3: 5,7
* PRF # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 + H3: 5,7 # A3: 2,3 => SOL
* STA # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 + H3: 5,7 + A3: 2,3
* CNT   6 HDP CHAINS /  33 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

98.76....75....6....6.......4.....3...8.9.5.....2...81..7.5.8.....3...4......1..2 initial
98.76....75....6....6.......4.....3...8.9.5.....2...81..7.5.8.....3...4......1..2 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
H7,G8: 1.. / H7 = 1  =>  3 pairs (_) / G8 = 1  =>  1 pairs (_)
G4,H5: 2.. / G4 = 2  =>  1 pairs (_) / H5 = 2  =>  4 pairs (_)
I7,G9: 3.. / I7 = 3  =>  2 pairs (_) / G9 = 3  =>  2 pairs (_)
I5,G6: 4.. / I5 = 4  =>  3 pairs (_) / G6 = 4  =>  2 pairs (_)
I8,H9: 5.. / I8 = 5  =>  1 pairs (_) / H9 = 5  =>  1 pairs (_)
D3,D4: 5.. / D3 = 5  =>  0 pairs (_) / D4 = 5  =>  0 pairs (_)
B5,B6: 7.. / B5 = 7  =>  2 pairs (_) / B6 = 7  =>  2 pairs (_)
I2,I3: 8.. / I2 = 8  =>  0 pairs (_) / I3 = 8  =>  0 pairs (_)
A8,A9: 8.. / A8 = 8  =>  1 pairs (_) / A9 = 8  =>  1 pairs (_)
* DURATION: 0:00:05.867153  START: 20:02:34.696129  END: 20:02:40.563282 2020-12-02
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G4,H5: 2.. / G4 = 2  =>  0 pairs (X) / H5 = 2 ==>  0 pairs (*)
* DURATION: 0:00:24.481451  START: 20:02:40.564031  END: 20:03:05.045482 2020-12-02
* REASONING G4,H5: 2..
* DIS # H5: 2 # G3: 1,9 => CTR => G3: 2,3,4,7
* DIS # H5: 2 + G3: 2,3,4,7 # G6: 7,9 => CTR => G6: 4
* DIS # H5: 2 + G3: 2,3,4,7 + G6: 4 # G8: 7,9 => CTR => G8: 1
* DIS # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 # G9: 3 => CTR => G9: 7,9
* DIS # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 # H3: 1,9 => CTR => H3: 5,7
* PRF # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 + H3: 5,7 # A3: 2,3 => SOL
* STA # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 + H3: 5,7 + A3: 2,3
* CNT   6 HDP CHAINS /  33 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

14011;kz0;GP;23;11.30;11.30;10.50

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G4,H5: 2..:

* INC # H5: 2 # H3: 1,5 => UNS
* INC # H5: 2 # H3: 7,9 => UNS
* DIS # H5: 2 # G3: 1,9 => CTR => G3: 2,3,4,7
* INC # H5: 2 + G3: 2,3,4,7 # H3: 1,9 => UNS
* INC # H5: 2 + G3: 2,3,4,7 # H3: 1,9 => UNS
* INC # H5: 2 + G3: 2,3,4,7 # H3: 5,7 => UNS
* INC # H5: 2 + G3: 2,3,4,7 # D2: 1,9 => UNS
* INC # H5: 2 + G3: 2,3,4,7 # D2: 4,8 => UNS
* INC # H5: 2 + G3: 2,3,4,7 # H7: 1,9 => UNS
* INC # H5: 2 + G3: 2,3,4,7 # H7: 6 => UNS
* INC # H5: 2 + G3: 2,3,4,7 # I4: 7,9 => UNS
* DIS # H5: 2 + G3: 2,3,4,7 # G6: 7,9 => CTR => G6: 4
* INC # H5: 2 + G3: 2,3,4,7 + G6: 4 # I4: 7,9 => UNS
* INC # H5: 2 + G3: 2,3,4,7 + G6: 4 # I4: 6 => UNS
* DIS # H5: 2 + G3: 2,3,4,7 + G6: 4 # G8: 7,9 => CTR => G8: 1
* INC # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 # G9: 7,9 => UNS
* INC # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 # G9: 7,9 => UNS
* DIS # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 # G9: 3 => CTR => G9: 7,9
* INC # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 # I4: 7,9 => UNS
* INC # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 # I4: 6 => UNS
* INC # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 # C1: 2,3 => UNS
* INC # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 # F1: 2,3 => UNS
* INC # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 # H3: 1,5 => UNS
* INC # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 # H3: 7,9 => UNS
* INC # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 # I3: 4,5 => UNS
* INC # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 # I3: 7,8,9 => UNS
* INC # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 # F1: 4,5 => UNS
* INC # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 # F1: 2,3 => UNS
* DIS # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 # H3: 1,9 => CTR => H3: 5,7
* INC # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 + H3: 5,7 # D2: 1,9 => UNS
* INC # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 + H3: 5,7 # D2: 4,8 => UNS
* PRF # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 + H3: 5,7 # A3: 2,3 => SOL
* STA # H5: 2 + G3: 2,3,4,7 + G6: 4 + G8: 1 + G9: 7,9 + H3: 5,7 + A3: 2,3
* CNT  32 HDP CHAINS /  33 HYP OPENED