Analysis of xx-ph-01684027-2015_08-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..75.....9...6......4...8......89...4.....4.3....962..7...58...6......1..2 initial

Autosolve

position: 98.7..6..75.....9...6......4...8......89...4.....4.3....962..7...58...6......1..2 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for E2,E5: 6..:

* DIS # E5: 6 # E1: 1,3 => CTR => E1: 5
* DIS # E5: 6 + E1: 5 # G4: 1,7 => CTR => G4: 2,5
* DIS # E5: 6 + E1: 5 + G4: 2,5 # G5: 2 => CTR => G5: 1,7
* DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 # A8: 1,3 => CTR => A8: 2
* DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 # B8: 1,3 => CTR => B8: 4,7
* DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 # B7: 4 => CTR => B7: 1,3
* DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 # I8: 3 => CTR => I8: 1,4
* PRF # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 + I8: 1,4 # C1: 2,3 => SOL
* STA # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 + I8: 1,4 + C1: 2,3
* CNT   8 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..75.....9...6......4...8......89...4.....4.3....962..7...58...6......1..2 initial
98.7..6..75.....9...6......4...8......89...4.....4.3....962..7...58...6......1..2 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
A8,B8: 2.. / A8 = 2  =>  1 pairs (_) / B8 = 2  =>  1 pairs (_)
A5,A6: 5.. / A5 = 5  =>  0 pairs (_) / A6 = 5  =>  1 pairs (_)
E2,F2: 6.. / E2 = 6  =>  0 pairs (_) / F2 = 6  =>  6 pairs (_)
A9,B9: 6.. / A9 = 6  =>  0 pairs (_) / B9 = 6  =>  3 pairs (_)
E2,E5: 6.. / E2 = 6  =>  0 pairs (_) / E5 = 6  =>  6 pairs (_)
G3,I3: 7.. / G3 = 7  =>  0 pairs (_) / I3 = 7  =>  0 pairs (_)
F2,F3: 8.. / F2 = 8  =>  0 pairs (_) / F3 = 8  =>  2 pairs (_)
H6,I6: 8.. / H6 = 8  =>  1 pairs (_) / I6 = 8  =>  0 pairs (_)
A7,A9: 8.. / A7 = 8  =>  1 pairs (_) / A9 = 8  =>  4 pairs (_)
E3,F3: 9.. / E3 = 9  =>  2 pairs (_) / F3 = 9  =>  0 pairs (_)
B4,B6: 9.. / B4 = 9  =>  1 pairs (_) / B6 = 9  =>  0 pairs (_)
B6,I6: 9.. / B6 = 9  =>  0 pairs (_) / I6 = 9  =>  1 pairs (_)
E9,G9: 9.. / E9 = 9  =>  1 pairs (_) / G9 = 9  =>  1 pairs (_)
F3,F8: 9.. / F3 = 9  =>  0 pairs (_) / F8 = 9  =>  2 pairs (_)
* DURATION: 0:00:09.098261  START: 04:31:09.221688  END: 04:31:18.319949 2020-10-06
* CP COUNT: (14)
* INCONCLUSIVE

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* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E2,E5: 6.. / E2 = 6  =>  0 pairs (X) / E5 = 6 ==>  0 pairs (*)
* DURATION: 0:00:23.652834  START: 04:31:18.320890  END: 04:31:41.973724 2020-10-06
* REASONING E2,E5: 6..
* DIS # E5: 6 # E1: 1,3 => CTR => E1: 5
* DIS # E5: 6 + E1: 5 # G4: 1,7 => CTR => G4: 2,5
* DIS # E5: 6 + E1: 5 + G4: 2,5 # G5: 2 => CTR => G5: 1,7
* DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 # A8: 1,3 => CTR => A8: 2
* DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 # B8: 1,3 => CTR => B8: 4,7
* DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 # B7: 4 => CTR => B7: 1,3
* DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 # I8: 3 => CTR => I8: 1,4
* PRF # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 + I8: 1,4 # C1: 2,3 => SOL
* STA # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 + I8: 1,4 + C1: 2,3
* CNT   8 HDP CHAINS /  14 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1684027;2015_08;GP;24;11.50;11.50;10.00

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E2,E5: 6..:

* DIS # E5: 6 # E1: 1,3 => CTR => E1: 5
* DIS # E5: 6 + E1: 5 # G4: 1,7 => CTR => G4: 2,5
* INC # E5: 6 + E1: 5 + G4: 2,5 # G5: 1,7 => UNS
* INC # E5: 6 + E1: 5 + G4: 2,5 # G5: 1,7 => UNS
* DIS # E5: 6 + E1: 5 + G4: 2,5 # G5: 2 => CTR => G5: 1,7
* INC # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 # B7: 1,3 => UNS
* DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 # A8: 1,3 => CTR => A8: 2
* DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 # B8: 1,3 => CTR => B8: 4,7
* INC # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 # B7: 1,3 => UNS
* DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 # B7: 4 => CTR => B7: 1,3
* INC # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 # I8: 1,4 => UNS
* DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 # I8: 3 => CTR => I8: 1,4
* PRF # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 + I8: 1,4 # C1: 2,3 => SOL
* STA # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 + I8: 1,4 + C1: 2,3
* CNT  13 HDP CHAINS /  14 HYP OPENED