Analysis of xx-ph-00001210-H286-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6.....7....7....95.4..3......95..8.......2..1..69..5......4...2.....1.3. initial

Autosolve

position: 98.7.....6.....7....7....95.4..3......95..8.......2..1..69..5......4...2.....1.3. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000011

List of important HDP chains detected for F2,F4: 9..:

* DIS # F4: 9 # G1: 2,6 => CTR => G1: 1,3,4
* DIS # F4: 9 + G1: 1,3,4 # G3: 2,6 => CTR => G3: 1,3,4
* DIS # F4: 9 + G1: 1,3,4 + G3: 1,3,4 # I7: 7 => CTR => I7: 4,8
* PRF # F4: 9 + G1: 1,3,4 + G3: 1,3,4 + I7: 4,8 # H2: 8 => SOL
* STA # F4: 9 + G1: 1,3,4 + G3: 1,3,4 + I7: 4,8 + H2: 8
* CNT   4 HDP CHAINS /  18 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....95.4..3......95..8.......2..1..69..5......4...2.....1.3. initial
98.7.....6.....7....7....95.4..3......95..8.......2..1..69..5......4...2.....1.3. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,E5: 1.. / D4 = 1  =>  1 pairs (_) / E5 = 1  =>  1 pairs (_)
I5,G6: 3.. / I5 = 3  =>  2 pairs (_) / G6 = 3  =>  1 pairs (_)
F5,D6: 4.. / F5 = 4  =>  1 pairs (_) / D6 = 4  =>  1 pairs (_)
H4,H6: 5.. / H4 = 5  =>  0 pairs (_) / H6 = 5  =>  1 pairs (_)
F8,E9: 5.. / F8 = 5  =>  0 pairs (_) / E9 = 5  =>  0 pairs (_)
B5,B6: 6.. / B5 = 6  =>  2 pairs (_) / B6 = 6  =>  1 pairs (_)
H2,I2: 8.. / H2 = 8  =>  1 pairs (_) / I2 = 8  =>  1 pairs (_)
E2,F2: 9.. / E2 = 9  =>  6 pairs (_) / F2 = 9  =>  0 pairs (_)
F4,E6: 9.. / F4 = 9  =>  6 pairs (_) / E6 = 9  =>  0 pairs (_)
B8,B9: 9.. / B8 = 9  =>  1 pairs (_) / B9 = 9  =>  2 pairs (_)
E6,G6: 9.. / E6 = 9  =>  0 pairs (_) / G6 = 9  =>  6 pairs (_)
B8,G8: 9.. / B8 = 9  =>  1 pairs (_) / G8 = 9  =>  2 pairs (_)
E2,E6: 9.. / E2 = 9  =>  6 pairs (_) / E6 = 9  =>  0 pairs (_)
F2,F4: 9.. / F2 = 9  =>  0 pairs (_) / F4 = 9  =>  6 pairs (_)
I4,I9: 9.. / I4 = 9  =>  1 pairs (_) / I9 = 9  =>  3 pairs (_)
* DURATION: 0:00:10.939677  START: 06:49:38.799266  END: 06:49:49.738943 2020-11-26
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F2,F4: 9.. / F2 = 9  =>  0 pairs (X) / F4 = 9 ==>  0 pairs (*)
* DURATION: 0:00:23.035622  START: 06:49:49.739911  END: 06:50:12.775533 2020-11-26
* REASONING F2,F4: 9..
* DIS # F4: 9 # G1: 2,6 => CTR => G1: 1,3,4
* DIS # F4: 9 + G1: 1,3,4 # G3: 2,6 => CTR => G3: 1,3,4
* DIS # F4: 9 + G1: 1,3,4 + G3: 1,3,4 # I7: 7 => CTR => I7: 4,8
* PRF # F4: 9 + G1: 1,3,4 + G3: 1,3,4 + I7: 4,8 # H2: 8 => SOL
* STA # F4: 9 + G1: 1,3,4 + G3: 1,3,4 + I7: 4,8 + H2: 8
* CNT   4 HDP CHAINS /  18 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1210;H286;GP;22;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F2,F4: 9..:

* INC # F4: 9 # G1: 4,6 => UNS
* INC # F4: 9 # G3: 4,6 => UNS
* INC # F4: 9 # F1: 4,6 => UNS
* INC # F4: 9 # F1: 3,5 => UNS
* INC # F4: 9 # I7: 4,8 => UNS
* INC # F4: 9 # I7: 7 => UNS
* INC # F4: 9 # H4: 2,6 => UNS
* INC # F4: 9 # H5: 2,6 => UNS
* DIS # F4: 9 # G1: 2,6 => CTR => G1: 1,3,4
* DIS # F4: 9 + G1: 1,3,4 # G3: 2,6 => CTR => G3: 1,3,4
* INC # F4: 9 + G1: 1,3,4 + G3: 1,3,4 # H4: 6,7 => UNS
* INC # F4: 9 + G1: 1,3,4 + G3: 1,3,4 # H5: 6,7 => UNS
* INC # F4: 9 + G1: 1,3,4 + G3: 1,3,4 # H6: 6,7 => UNS
* INC # F4: 9 + G1: 1,3,4 + G3: 1,3,4 # I7: 4,8 => UNS
* DIS # F4: 9 + G1: 1,3,4 + G3: 1,3,4 # I7: 7 => CTR => I7: 4,8
* INC # F4: 9 + G1: 1,3,4 + G3: 1,3,4 + I7: 4,8 # H2: 1,2 => UNS
* PRF # F4: 9 + G1: 1,3,4 + G3: 1,3,4 + I7: 4,8 # H2: 8 => SOL
* STA # F4: 9 + G1: 1,3,4 + G3: 1,3,4 + I7: 4,8 + H2: 8
* CNT  17 HDP CHAINS /  18 HYP OPENED