Analysis of xx-ph-00545575-12_12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..5...9..4...4.....96...73....2.8..7.........532..1......1..86.....6..71.. initial

Autosolve

position: 98.7..6..5...9..4...4.....96...73....2.8..7.........532..1......1..86.....6..71.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for C1,C2: 2..:

* DIS # C1: 2 # H3: 1,3 => CTR => H3: 2,7,8
* CNT   1 HDP CHAINS /  29 HYP OPENED

List of important HDP chains detected for A5,C5: 3..:

* DIS # C5: 3 # E1: 1,2 => CTR => E1: 3,4,5
* PRF # C5: 3 + E1: 3,4,5 # F1: 1,2 => SOL
* STA # C5: 3 + E1: 3,4,5 + F1: 1,2
* CNT   2 HDP CHAINS /  22 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..5...9..4...4.....96...73....2.8..7.........532..1......1..86.....6..71.. initial
98.7..6..5...9..4...4.....96...73....2.8..7.........532..1......1..86.....6..71.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C1,C2: 2.. / C1 = 2  =>  2 pairs (_) / C2 = 2  =>  4 pairs (_)
A5,C5: 3.. / A5 = 3  =>  3 pairs (_) / C5 = 3  =>  2 pairs (_)
E1,F1: 4.. / E1 = 4  =>  2 pairs (_) / F1 = 4  =>  1 pairs (_)
I1,G3: 5.. / I1 = 5  =>  0 pairs (_) / G3 = 5  =>  3 pairs (_)
B2,B3: 6.. / B2 = 6  =>  2 pairs (_) / B3 = 6  =>  1 pairs (_)
D6,E6: 6.. / D6 = 6  =>  2 pairs (_) / E6 = 6  =>  0 pairs (_)
H5,I5: 6.. / H5 = 6  =>  1 pairs (_) / I5 = 6  =>  1 pairs (_)
H7,I7: 6.. / H7 = 6  =>  1 pairs (_) / I7 = 6  =>  1 pairs (_)
B2,D2: 6.. / B2 = 6  =>  2 pairs (_) / D2 = 6  =>  1 pairs (_)
E3,E6: 6.. / E3 = 6  =>  2 pairs (_) / E6 = 6  =>  0 pairs (_)
H5,H7: 6.. / H5 = 6  =>  1 pairs (_) / H7 = 6  =>  1 pairs (_)
I5,I7: 6.. / I5 = 6  =>  1 pairs (_) / I7 = 6  =>  1 pairs (_)
I2,H3: 7.. / I2 = 7  =>  1 pairs (_) / H3 = 7  =>  2 pairs (_)
F2,F3: 8.. / F2 = 8  =>  1 pairs (_) / F3 = 8  =>  1 pairs (_)
C7,A9: 8.. / C7 = 8  =>  1 pairs (_) / A9 = 8  =>  0 pairs (_)
A6,A9: 8.. / A6 = 8  =>  1 pairs (_) / A9 = 8  =>  0 pairs (_)
* DURATION: 0:00:11.272427  START: 19:54:08.868144  END: 19:54:20.140571 2020-12-27
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C1,C2: 2.. / C1 = 2 ==>  2 pairs (_) / C2 = 2 ==>  4 pairs (_)
A5,C5: 3.. / A5 = 3 ==>  3 pairs (_) / C5 = 3 ==>  0 pairs (*)
* DURATION: 0:00:36.393809  START: 19:54:20.141436  END: 19:54:56.535245 2020-12-27
* REASONING C1,C2: 2..
* DIS # C1: 2 # H3: 1,3 => CTR => H3: 2,7,8
* CNT   1 HDP CHAINS /  29 HYP OPENED
* REASONING A5,C5: 3..
* DIS # C5: 3 # E1: 1,2 => CTR => E1: 3,4,5
* PRF # C5: 3 + E1: 3,4,5 # F1: 1,2 => SOL
* STA # C5: 3 + E1: 3,4,5 + F1: 1,2
* CNT   2 HDP CHAINS /  22 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

545575;12_12;GP;25;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C1,C2: 2..:

* INC # C2: 2 # A3: 1,3 => UNS
* INC # C2: 2 # A3: 7 => UNS
* INC # C2: 2 # E1: 1,3 => UNS
* INC # C2: 2 # H1: 1,3 => UNS
* INC # C2: 2 # C5: 1,3 => UNS
* INC # C2: 2 # C5: 5,9 => UNS
* INC # C2: 2 # D3: 3,6 => UNS
* INC # C2: 2 # E3: 3,6 => UNS
* INC # C2: 2 # B2: 3,6 => UNS
* INC # C2: 2 # B2: 7 => UNS
* INC # C2: 2 # F3: 1,8 => UNS
* INC # C2: 2 # F3: 2,5 => UNS
* INC # C2: 2 # I2: 1,8 => UNS
* INC # C2: 2 # I2: 7 => UNS
* INC # C2: 2 # G3: 3,8 => UNS
* INC # C2: 2 # H3: 3,8 => UNS
* INC # C2: 2 # G7: 3,8 => UNS
* INC # C2: 2 # G7: 4,5,9 => UNS
* INC # C2: 2 => UNS
* DIS # C1: 2 # H3: 1,3 => CTR => H3: 2,7,8
* INC # C1: 2 + H3: 2,7,8 # E1: 1,3 => UNS
* INC # C1: 2 + H3: 2,7,8 # E1: 4,5 => UNS
* INC # C1: 2 + H3: 2,7,8 # E1: 1,5 => UNS
* INC # C1: 2 + H3: 2,7,8 # F1: 1,5 => UNS
* INC # C1: 2 + H3: 2,7,8 # E1: 1,3 => UNS
* INC # C1: 2 + H3: 2,7,8 # E1: 4,5 => UNS
* INC # C1: 2 + H3: 2,7,8 # E1: 1,5 => UNS
* INC # C1: 2 + H3: 2,7,8 # F1: 1,5 => UNS
* INC # C1: 2 + H3: 2,7,8 => UNS
* CNT  29 HDP CHAINS /  29 HYP OPENED

Full list of HDP chains traversed for A5,C5: 3..:

* INC # A5: 3 # C2: 1,7 => UNS
* INC # A5: 3 # C2: 2,3 => UNS
* INC # A5: 3 # H3: 1,7 => UNS
* INC # A5: 3 # H3: 2,3,8 => UNS
* INC # A5: 3 # A6: 1,7 => UNS
* INC # A5: 3 # A6: 4,8 => UNS
* INC # A5: 3 # B7: 4,7 => UNS
* INC # A5: 3 # B7: 3,5,9 => UNS
* INC # A5: 3 # I8: 4,7 => UNS
* INC # A5: 3 # I8: 2,5 => UNS
* INC # A5: 3 # A6: 4,7 => UNS
* INC # A5: 3 # A6: 1,8 => UNS
* INC # A5: 3 # I9: 4,8 => UNS
* INC # A5: 3 # I9: 2,5 => UNS
* INC # A5: 3 # A6: 4,8 => UNS
* INC # A5: 3 # A6: 1,7 => UNS
* INC # A5: 3 => UNS
* INC # C5: 3 # C2: 1,2 => UNS
* INC # C5: 3 # C2: 7 => UNS
* DIS # C5: 3 # E1: 1,2 => CTR => E1: 3,4,5
* PRF # C5: 3 + E1: 3,4,5 # F1: 1,2 => SOL
* STA # C5: 3 + E1: 3,4,5 + F1: 1,2
* CNT  21 HDP CHAINS /  22 HYP OPENED