Analysis of xx-ph-00000569-H99-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....7.....9....6.5.....4.....3...78..5......2...1..85..6......1..52.....3.4. initial

Autosolve

position: 98.7.....7.....9....6.5.....4.....3...78..5......2...1..85..6......1..52.....3.4. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for I7,G8: 3..:

* PRF # G8: 3 # H7: 7,9 => SOL
* STA # G8: 3 + H7: 7,9
* CNT   1 HDP CHAINS /   6 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.....7.....9....6.5.....4.....3...78..5......2...1..85..6......1..52.....3.4. initial
98.7.....7.....9....6.5.....4.....3...78..5......2...1..85..6......1..52.....3.4. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H7,G9: 1.. / H7 = 1  =>  3 pairs (_) / G9 = 1  =>  1 pairs (_)
G4,H5: 2.. / G4 = 2  =>  1 pairs (_) / H5 = 2  =>  2 pairs (_)
F7,D9: 2.. / F7 = 2  =>  1 pairs (_) / D9 = 2  =>  0 pairs (_)
E5,D6: 3.. / E5 = 3  =>  1 pairs (_) / D6 = 3  =>  1 pairs (_)
I7,G8: 3.. / I7 = 3  =>  1 pairs (_) / G8 = 3  =>  3 pairs (_)
I5,G6: 4.. / I5 = 4  =>  1 pairs (_) / G6 = 4  =>  1 pairs (_)
I1,I2: 5.. / I1 = 5  =>  0 pairs (_) / I2 = 5  =>  1 pairs (_)
F4,F6: 5.. / F4 = 5  =>  0 pairs (_) / F6 = 5  =>  2 pairs (_)
C1,I1: 5.. / C1 = 5  =>  1 pairs (_) / I1 = 5  =>  0 pairs (_)
A4,A6: 8.. / A4 = 8  =>  1 pairs (_) / A6 = 8  =>  1 pairs (_)
F8,E9: 8.. / F8 = 8  =>  1 pairs (_) / E9 = 8  =>  4 pairs (_)
F8,G8: 8.. / F8 = 8  =>  1 pairs (_) / G8 = 8  =>  4 pairs (_)
E2,E9: 8.. / E2 = 8  =>  1 pairs (_) / E9 = 8  =>  4 pairs (_)
D3,F3: 9.. / D3 = 9  =>  3 pairs (_) / F3 = 9  =>  0 pairs (_)
* DURATION: 0:00:09.628210  START: 03:43:16.406723  END: 03:43:26.034933 2020-11-20
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E2,E9: 8.. / E2 = 8 ==>  1 pairs (_) / E9 = 8 ==>  4 pairs (_)
F8,G8: 8.. / F8 = 8 ==>  1 pairs (_) / G8 = 8 ==>  4 pairs (_)
F8,E9: 8.. / F8 = 8 ==>  1 pairs (_) / E9 = 8 ==>  4 pairs (_)
I7,G8: 3.. / I7 = 3  =>  0 pairs (X) / G8 = 3 ==>  0 pairs (*)
* DURATION: 0:00:48.796475  START: 03:43:26.035786  END: 03:44:14.832261 2020-11-20
* REASONING I7,G8: 3..
* PRF # G8: 3 # H7: 7,9 => SOL
* STA # G8: 3 + H7: 7,9
* CNT   1 HDP CHAINS /   6 HYP OPENED
* DCP COUNT: (4)
* SOLUTION FOUND

Header Info

569;H99;GP;22;11.30;11.30;10.90

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E2,E9: 8..:

* INC # E9: 8 # G3: 2,7 => UNS
* INC # E9: 8 # G3: 1,3,4 => UNS
* INC # E9: 8 # F6: 4,7 => UNS
* INC # E9: 8 # F6: 5,6,9 => UNS
* INC # E9: 8 # G3: 4,7 => UNS
* INC # E9: 8 # G3: 1,2,3 => UNS
* INC # E9: 8 # H7: 1,7 => UNS
* INC # E9: 8 # H7: 9 => UNS
* INC # E9: 8 # B9: 1,7 => UNS
* INC # E9: 8 # B9: 2,5,6,9 => UNS
* INC # E9: 8 # G3: 1,7 => UNS
* INC # E9: 8 # G3: 2,3,4 => UNS
* INC # E9: 8 # H7: 7,9 => UNS
* INC # E9: 8 # H7: 1 => UNS
* INC # E9: 8 # B9: 7,9 => UNS
* INC # E9: 8 # B9: 1,2,5,6 => UNS
* INC # E9: 8 # I4: 7,9 => UNS
* INC # E9: 8 # I4: 6,8 => UNS
* INC # E9: 8 => UNS
* INC # E2: 8 # I7: 3,7 => UNS
* INC # E2: 8 # I7: 9 => UNS
* INC # E2: 8 # B8: 3,7 => UNS
* INC # E2: 8 # B8: 6,9 => UNS
* INC # E2: 8 # G3: 3,7 => UNS
* INC # E2: 8 # G3: 1,2,4,8 => UNS
* INC # E2: 8 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for F8,G8: 8..:

* INC # G8: 8 # G3: 2,7 => UNS
* INC # G8: 8 # G3: 1,3,4 => UNS
* INC # G8: 8 # F6: 4,7 => UNS
* INC # G8: 8 # F6: 5,6,9 => UNS
* INC # G8: 8 # G3: 4,7 => UNS
* INC # G8: 8 # G3: 1,2,3 => UNS
* INC # G8: 8 # H7: 1,7 => UNS
* INC # G8: 8 # H7: 9 => UNS
* INC # G8: 8 # B9: 1,7 => UNS
* INC # G8: 8 # B9: 2,5,6,9 => UNS
* INC # G8: 8 # G3: 1,7 => UNS
* INC # G8: 8 # G3: 2,3,4 => UNS
* INC # G8: 8 # H7: 7,9 => UNS
* INC # G8: 8 # H7: 1 => UNS
* INC # G8: 8 # B9: 7,9 => UNS
* INC # G8: 8 # B9: 1,2,5,6 => UNS
* INC # G8: 8 # I4: 7,9 => UNS
* INC # G8: 8 # I4: 6,8 => UNS
* INC # G8: 8 => UNS
* INC # F8: 8 # I7: 3,7 => UNS
* INC # F8: 8 # I7: 9 => UNS
* INC # F8: 8 # B8: 3,7 => UNS
* INC # F8: 8 # B8: 6,9 => UNS
* INC # F8: 8 # G3: 3,7 => UNS
* INC # F8: 8 # G3: 1,2,4,8 => UNS
* INC # F8: 8 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for F8,E9: 8..:

* INC # E9: 8 # G3: 2,7 => UNS
* INC # E9: 8 # G3: 1,3,4 => UNS
* INC # E9: 8 # F6: 4,7 => UNS
* INC # E9: 8 # F6: 5,6,9 => UNS
* INC # E9: 8 # G3: 4,7 => UNS
* INC # E9: 8 # G3: 1,2,3 => UNS
* INC # E9: 8 # H7: 1,7 => UNS
* INC # E9: 8 # H7: 9 => UNS
* INC # E9: 8 # B9: 1,7 => UNS
* INC # E9: 8 # B9: 2,5,6,9 => UNS
* INC # E9: 8 # G3: 1,7 => UNS
* INC # E9: 8 # G3: 2,3,4 => UNS
* INC # E9: 8 # H7: 7,9 => UNS
* INC # E9: 8 # H7: 1 => UNS
* INC # E9: 8 # B9: 7,9 => UNS
* INC # E9: 8 # B9: 1,2,5,6 => UNS
* INC # E9: 8 # I4: 7,9 => UNS
* INC # E9: 8 # I4: 6,8 => UNS
* INC # E9: 8 => UNS
* INC # F8: 8 # I7: 3,7 => UNS
* INC # F8: 8 # I7: 9 => UNS
* INC # F8: 8 # B8: 3,7 => UNS
* INC # F8: 8 # B8: 6,9 => UNS
* INC # F8: 8 # G3: 3,7 => UNS
* INC # F8: 8 # G3: 1,2,4,8 => UNS
* INC # F8: 8 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for I7,G8: 3..:

* INC # G8: 3 # D8: 4,6 => UNS
* INC # G8: 3 # D8: 9 => UNS
* INC # G8: 3 # D8: 4,9 => UNS
* INC # G8: 3 # D8: 6 => UNS
* PRF # G8: 3 # H7: 7,9 => SOL
* STA # G8: 3 + H7: 7,9
* CNT   5 HDP CHAINS /   6 HYP OPENED