Analysis of xx-ph-00011498-kz0-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6.....7....7.9..5..4..3...2..96..4.......4.1...85..9......1...3.....2.4. initial

Autosolve

position: 98.7.....6.....7....7.9..5..4..3...2..96..4.......4.1...85..9......1...3.....2.4. 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 I2,I6: 9..:

* DIS # I2: 9 # D2: 1,8 => CTR => D2: 2,3,4
* DIS # I2: 9 + D2: 2,3,4 # D3: 1,8 => CTR => D3: 2,3,4
* PRF # I2: 9 + D2: 2,3,4 + D3: 2,3,4 # E7: 6,7 => SOL
* STA # I2: 9 + D2: 2,3,4 + D3: 2,3,4 + E7: 6,7
* CNT   3 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.....7....7.9..5..4..3...2..96..4.......4.1...85..9......1...3.....2.4. initial
98.7.....6.....7....7.9..5..4..3...2..96..4.......4.1...85..9......1...3.....2.4. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
H5,G6: 3.. / H5 = 3  =>  1 pairs (_) / G6 = 3  =>  1 pairs (_)
F7,D9: 3.. / F7 = 3  =>  1 pairs (_) / D9 = 3  =>  1 pairs (_)
E7,D8: 4.. / E7 = 4  =>  1 pairs (_) / D8 = 4  =>  2 pairs (_)
A7,E7: 4.. / A7 = 4  =>  2 pairs (_) / E7 = 4  =>  1 pairs (_)
H2,I2: 9.. / H2 = 9  =>  1 pairs (_) / I2 = 9  =>  3 pairs (_)
H4,I6: 9.. / H4 = 9  =>  3 pairs (_) / I6 = 9  =>  1 pairs (_)
B8,B9: 9.. / B8 = 9  =>  3 pairs (_) / B9 = 9  =>  1 pairs (_)
D6,I6: 9.. / D6 = 9  =>  3 pairs (_) / I6 = 9  =>  1 pairs (_)
B9,D9: 9.. / B9 = 9  =>  1 pairs (_) / D9 = 9  =>  3 pairs (_)
F4,F8: 9.. / F4 = 9  =>  2 pairs (_) / F8 = 9  =>  2 pairs (_)
H2,H4: 9.. / H2 = 9  =>  1 pairs (_) / H4 = 9  =>  3 pairs (_)
I2,I6: 9.. / I2 = 9  =>  3 pairs (_) / I6 = 9  =>  1 pairs (_)
* DURATION: 0:00:08.113679  START: 18:27:38.286271  END: 18:27:46.399950 2020-12-01
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I2,I6: 9.. / I2 = 9 ==>  0 pairs (*) / I6 = 9  =>  0 pairs (X)
* DURATION: 0:00:16.763499  START: 18:27:46.400639  END: 18:28:03.164138 2020-12-01
* REASONING I2,I6: 9..
* DIS # I2: 9 # D2: 1,8 => CTR => D2: 2,3,4
* DIS # I2: 9 + D2: 2,3,4 # D3: 1,8 => CTR => D3: 2,3,4
* PRF # I2: 9 + D2: 2,3,4 + D3: 2,3,4 # E7: 6,7 => SOL
* STA # I2: 9 + D2: 2,3,4 + D3: 2,3,4 + E7: 6,7
* CNT   3 HDP CHAINS /  14 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

11498;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 I2,I6: 9..:

* INC # I2: 9 # F4: 1,8 => UNS
* INC # I2: 9 # F5: 1,8 => UNS
* INC # I2: 9 # A4: 1,8 => UNS
* INC # I2: 9 # A4: 5,7 => UNS
* DIS # I2: 9 # D2: 1,8 => CTR => D2: 2,3,4
* DIS # I2: 9 + D2: 2,3,4 # D3: 1,8 => CTR => D3: 2,3,4
* INC # I2: 9 + D2: 2,3,4 + D3: 2,3,4 # B6: 5,6 => UNS
* INC # I2: 9 + D2: 2,3,4 + D3: 2,3,4 # C6: 5,6 => UNS
* INC # I2: 9 + D2: 2,3,4 + D3: 2,3,4 # G4: 5,6 => UNS
* INC # I2: 9 + D2: 2,3,4 + D3: 2,3,4 # G4: 8 => UNS
* INC # I2: 9 + D2: 2,3,4 + D3: 2,3,4 # C8: 5,6 => UNS
* INC # I2: 9 + D2: 2,3,4 + D3: 2,3,4 # C9: 5,6 => UNS
* PRF # I2: 9 + D2: 2,3,4 + D3: 2,3,4 # E7: 6,7 => SOL
* STA # I2: 9 + D2: 2,3,4 + D3: 2,3,4 + E7: 6,7
* CNT  13 HDP CHAINS /  14 HYP OPENED