Analysis of xx-ph-00001682-H108-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ..3.....5.2.6.....1...3.7...4.8.6.......49.8.........2..7.....1.8.9...2.5.....3.. initial

Autosolve

position: ..3...2.5.2.6.....1...3.7...4.8.6.......49.8.........2..7.....1.8.9...2.5.....3.. 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 A8,F8: 3..:

* DIS # A8: 3 # B5: 6,7 => CTR => B5: 1,3,5
* DIS # A8: 3 + B5: 1,3,5 # B9: 6,9 => CTR => B9: 1
* DIS # A8: 3 + B5: 1,3,5 + B9: 1 # B1: 6,9 => CTR => B1: 7
* DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # I9: 6,7 => CTR => I9: 4,8,9
* DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 # I8: 4 => CTR => I8: 6,7
* DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # H4: 3,9 => CTR => H4: 1,5,7
* PRF # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 # G7: 6,9 => SOL
* STA # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 + G7: 6,9
* CNT   7 HDP CHAINS /  73 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

..3.....5.2.6.....1...3.7...4.8.6.......49.8.........2..7.....1.8.9...2.5.....3.. initial
..3...2.5.2.6.....1...3.7...4.8.6.......49.8.........2..7.....1.8.9...2.5.....3.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D3,F3: 2.. / D3 = 2  =>  0 pairs (_) / F3 = 2  =>  1 pairs (_)
E4,D5: 2.. / E4 = 2  =>  0 pairs (_) / D5 = 2  =>  1 pairs (_)
A7,C9: 2.. / A7 = 2  =>  0 pairs (_) / C9 = 2  =>  0 pairs (_)
H2,I2: 3.. / H2 = 3  =>  0 pairs (_) / I2 = 3  =>  2 pairs (_)
A8,F8: 3.. / A8 = 3  =>  2 pairs (_) / F8 = 3  =>  1 pairs (_)
G6,H6: 4.. / G6 = 4  =>  1 pairs (_) / H6 = 4  =>  1 pairs (_)
A6,C6: 8.. / A6 = 8  =>  0 pairs (_) / C6 = 8  =>  0 pairs (_)
G7,I9: 8.. / G7 = 8  =>  0 pairs (_) / I9 = 8  =>  0 pairs (_)
G2,G7: 8.. / G2 = 8  =>  0 pairs (_) / G7 = 8  =>  0 pairs (_)
E1,E2: 9.. / E1 = 9  =>  1 pairs (_) / E2 = 9  =>  0 pairs (_)
* DURATION: 0:00:06.258609  START: 13:22:32.966179  END: 13:22:39.224788 2020-11-30
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A8,F8: 3.. / A8 = 3 ==>  0 pairs (*) / F8 = 3  =>  0 pairs (X)
* DURATION: 0:00:44.388536  START: 13:22:39.225542  END: 13:23:23.614078 2020-11-30
* REASONING A8,F8: 3..
* DIS # A8: 3 # B5: 6,7 => CTR => B5: 1,3,5
* DIS # A8: 3 + B5: 1,3,5 # B9: 6,9 => CTR => B9: 1
* DIS # A8: 3 + B5: 1,3,5 + B9: 1 # B1: 6,9 => CTR => B1: 7
* DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # I9: 6,7 => CTR => I9: 4,8,9
* DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 # I8: 4 => CTR => I8: 6,7
* DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # H4: 3,9 => CTR => H4: 1,5,7
* PRF # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 # G7: 6,9 => SOL
* STA # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 + G7: 6,9
* CNT   7 HDP CHAINS /  73 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1682;H108;col;21;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A8,F8: 3..:

* INC # A8: 3 # H6: 6,7 => UNS
* INC # A8: 3 # H6: 1,4,5,9 => UNS
* INC # A8: 3 # A5: 6,7 => UNS
* DIS # A8: 3 # B5: 6,7 => CTR => B5: 1,3,5
* INC # A8: 3 + B5: 1,3,5 # A5: 6,7 => UNS
* INC # A8: 3 + B5: 1,3,5 # A5: 2 => UNS
* INC # A8: 3 + B5: 1,3,5 # I8: 6,7 => UNS
* INC # A8: 3 + B5: 1,3,5 # I9: 6,7 => UNS
* INC # A8: 3 + B5: 1,3,5 # H6: 6,7 => UNS
* INC # A8: 3 + B5: 1,3,5 # H6: 1,4,5,9 => UNS
* INC # A8: 3 + B5: 1,3,5 # A5: 6,7 => UNS
* INC # A8: 3 + B5: 1,3,5 # A5: 2 => UNS
* INC # A8: 3 + B5: 1,3,5 # I8: 6,7 => UNS
* INC # A8: 3 + B5: 1,3,5 # I9: 6,7 => UNS
* INC # A8: 3 + B5: 1,3,5 # A7: 6,9 => UNS
* DIS # A8: 3 + B5: 1,3,5 # B9: 6,9 => CTR => B9: 1
* INC # A8: 3 + B5: 1,3,5 + B9: 1 # C9: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 # G7: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 # H7: 6,9 => UNS
* DIS # A8: 3 + B5: 1,3,5 + B9: 1 # B1: 6,9 => CTR => B1: 7
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # B3: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # B6: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # A7: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # C9: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # G7: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # H7: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # B3: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # B6: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # F1: 1,4 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # F2: 1,4 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # H1: 1,4 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # H1: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # B6: 3,5 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # B6: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # D5: 3,5 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # D5: 1,2,7 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # H6: 6,7 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # H6: 1,4,5,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # A5: 6,7 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # A5: 2 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # I8: 6,7 => UNS
* DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # I9: 6,7 => CTR => I9: 4,8,9
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 # I8: 6,7 => UNS
* DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 # I8: 4 => CTR => I8: 6,7
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # A5: 6,7 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # A5: 2 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # A7: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # C9: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # G7: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # G7: 4,5,8 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # B3: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # B6: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # A7: 4,6 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # C9: 4,6 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # G8: 4,6 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # G8: 5 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # C3: 4,6 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # C3: 5,8,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # F1: 1,4 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # F2: 1,4 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # H1: 1,4 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # H1: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # B6: 3,5 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # B6: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # D5: 3,5 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # D5: 1,2,7 => UNS
* DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # H4: 3,9 => CTR => H4: 1,5,7
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 # A5: 6,7 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 # A5: 2 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 # A7: 6,9 => UNS
* INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 # C9: 6,9 => UNS
* PRF # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 # G7: 6,9 => SOL
* STA # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 + G7: 6,9
* CNT  72 HDP CHAINS /  73 HYP OPENED