Analysis of xx-ph-00013983-kz0-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....7.....6....6..5....6.4...3..2......1..9.5.8....8.9.7.....1....2.....3.4. initial

Autosolve

position: 98.76....7.....6....6..5....6.4...3..2......1..9.5.8....8.9.7.....1....2.....3.4. 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 G5,I6: 4..:

* DIS # I6: 4 # G4: 5,9 => CTR => G4: 2
* PRF # I6: 4 + G4: 2 # G8: 5,9 => SOL
* STA # I6: 4 + G4: 2 + G8: 5,9
* CNT   2 HDP CHAINS /  15 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....7.....6....6..5....6.4...3..2......1..9.5.8....8.9.7.....1....2.....3.4. initial
98.76....7.....6....6..5....6.4...3..2......1..9.5.8....8.9.7.....1....2.....3.4. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
H7,G9: 1.. / H7 = 1  =>  2 pairs (_) / G9 = 1  =>  1 pairs (_)
G4,H6: 2.. / G4 = 2  =>  1 pairs (_) / H6 = 2  =>  3 pairs (_)
I7,G8: 3.. / I7 = 3  =>  2 pairs (_) / G8 = 3  =>  1 pairs (_)
G5,I6: 4.. / G5 = 4  =>  1 pairs (_) / I6 = 4  =>  4 pairs (_)
D7,D9: 5.. / D7 = 5  =>  2 pairs (_) / D9 = 5  =>  2 pairs (_)
H3,I3: 7.. / H3 = 7  =>  1 pairs (_) / I3 = 7  =>  2 pairs (_)
A4,A5: 8.. / A4 = 8  =>  0 pairs (_) / A5 = 8  =>  2 pairs (_)
H8,I9: 8.. / H8 = 8  =>  1 pairs (_) / I9 = 8  =>  1 pairs (_)
B8,B9: 9.. / B8 = 9  =>  1 pairs (_) / B9 = 9  =>  1 pairs (_)
* DURATION: 0:00:06.773831  START: 04:30:31.056129  END: 04:30:37.829960 2020-10-19
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G5,I6: 4.. / G5 = 4  =>  0 pairs (X) / I6 = 4 ==>  0 pairs (*)
* DURATION: 0:00:17.943859  START: 04:30:37.830726  END: 04:30:55.774585 2020-10-19
* REASONING G5,I6: 4..
* DIS # I6: 4 # G4: 5,9 => CTR => G4: 2
* PRF # I6: 4 + G4: 2 # G8: 5,9 => SOL
* STA # I6: 4 + G4: 2 + G8: 5,9
* CNT   2 HDP CHAINS /  15 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

13983;kz0;GP;23;11.40;11.40;11.30

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G5,I6: 4..:

* INC # I6: 4 # G1: 3,5 => UNS
* INC # I6: 4 # I2: 3,5 => UNS
* INC # I6: 4 # C1: 3,5 => UNS
* INC # I6: 4 # C1: 1,2,4 => UNS
* INC # I6: 4 # I7: 3,5 => UNS
* INC # I6: 4 # I7: 6 => UNS
* INC # I6: 4 # B6: 1,3 => UNS
* INC # I6: 4 # B6: 7 => UNS
* INC # I6: 4 # A3: 1,3 => UNS
* INC # I6: 4 # A7: 1,3 => UNS
* DIS # I6: 4 # G4: 5,9 => CTR => G4: 2
* INC # I6: 4 + G4: 2 # I4: 5,9 => UNS
* INC # I6: 4 + G4: 2 # H5: 5,9 => UNS
* PRF # I6: 4 + G4: 2 # G8: 5,9 => SOL
* STA # I6: 4 + G4: 2 + G8: 5,9
* CNT  14 HDP CHAINS /  15 HYP OPENED