Analysis of xx-ph-00041076-12_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7...8.....54..6...8...3.7...7...2.4...5.....1.3..6.9.......1.5.........2 initial

Autosolve

position: 98.7..6..7...8.....54..6...8...3.7...7...2.4...5.....1.3..6.9.......1.5.........2 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for G2,G5: 5..:

* DIS # G2: 5 # G6: 3,8 => CTR => G6: 2
* DIS # G2: 5 + G6: 2 # I8: 7,8 => CTR => I8: 3,6
* PRF # G2: 5 + G6: 2 + I8: 3,6 # C7: 7,8 => SOL
* STA # G2: 5 + G6: 2 + I8: 3,6 + C7: 7,8
* CNT   3 HDP CHAINS /  20 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...8.....54..6...8...3.7...7...2.4...5.....1.3..6.9.......1.5.........2 initial
98.7..6..7...8.....54..6...8...3.7...7...2.4...5.....1.3..6.9.......1.5.........2 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
A7,A9: 5.. / A7 = 5  =>  0 pairs (_) / A9 = 5  =>  0 pairs (_)
G2,G5: 5.. / G2 = 5  =>  3 pairs (_) / G5 = 5  =>  2 pairs (_)
B2,C2: 6.. / B2 = 6  =>  0 pairs (_) / C2 = 6  =>  1 pairs (_)
I8,H9: 6.. / I8 = 6  =>  2 pairs (_) / H9 = 6  =>  1 pairs (_)
H3,I3: 7.. / H3 = 7  =>  1 pairs (_) / I3 = 7  =>  1 pairs (_)
E6,F6: 7.. / E6 = 7  =>  0 pairs (_) / F6 = 7  =>  1 pairs (_)
* DURATION: 0:00:03.293936  START: 17:30:58.773282  END: 17:31:02.067218 2020-12-18
* CP COUNT: (6)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G2,G5: 5.. / G2 = 5 ==>  0 pairs (*) / G5 = 5  =>  0 pairs (X)
* DURATION: 0:00:13.243832  START: 17:31:02.067772  END: 17:31:15.311604 2020-12-18
* REASONING G2,G5: 5..
* DIS # G2: 5 # G6: 3,8 => CTR => G6: 2
* DIS # G2: 5 + G6: 2 # I8: 7,8 => CTR => I8: 3,6
* PRF # G2: 5 + G6: 2 + I8: 3,6 # C7: 7,8 => SOL
* STA # G2: 5 + G6: 2 + I8: 3,6 + C7: 7,8
* CNT   3 HDP CHAINS /  20 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

41076;12_07;GP;23;11.30;11.30;10.40

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G2,G5: 5..:

* INC # G2: 5 # I2: 3,4 => UNS
* INC # G2: 5 # I2: 9 => UNS
* INC # G2: 5 # F1: 3,4 => UNS
* INC # G2: 5 # F1: 5 => UNS
* INC # G2: 5 # I5: 3,8 => UNS
* DIS # G2: 5 # G6: 3,8 => CTR => G6: 2
* INC # G2: 5 + G6: 2 # H6: 3,8 => UNS
* INC # G2: 5 + G6: 2 # G3: 3,8 => UNS
* INC # G2: 5 + G6: 2 # G8: 3,8 => UNS
* INC # G2: 5 + G6: 2 # G9: 3,8 => UNS
* INC # G2: 5 + G6: 2 # I5: 3,8 => UNS
* INC # G2: 5 + G6: 2 # H6: 3,8 => UNS
* INC # G2: 5 + G6: 2 # G3: 3,8 => UNS
* INC # G2: 5 + G6: 2 # G8: 3,8 => UNS
* INC # G2: 5 + G6: 2 # G9: 3,8 => UNS
* INC # G2: 5 + G6: 2 # H7: 7,8 => UNS
* DIS # G2: 5 + G6: 2 # I8: 7,8 => CTR => I8: 3,6
* INC # G2: 5 + G6: 2 + I8: 3,6 # H9: 7,8 => UNS
* PRF # G2: 5 + G6: 2 + I8: 3,6 # C7: 7,8 => SOL
* STA # G2: 5 + G6: 2 + I8: 3,6 + C7: 7,8
* CNT  19 HDP CHAINS /  20 HYP OPENED