Analysis of xx-ph-02317188-2019_03_16-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..5.7....8.........94..9...6.....7.4......3.9.7.4.8....6..5.2......1..78.. initial

Autosolve

position: 98.7..6..5.7....8.........947.9...6.....7.4......3.9.774.8....68.5.2......1..78.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for C5,C7: 9..:

* DIS # C7: 9 # H5: 1,2 => CTR => H5: 3,5
* DIS # C7: 9 + H5: 3,5 # H3: 1,2 => CTR => H3: 3,4,5,7
* DIS # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # I5: 3,5 => CTR => I5: 1,2,8
* PRF # C7: 9 + H5: 3,5 + H3: 3,4,5,7 + I5: 1,2,8 # H3: 3,5 => SOL
* STA # C7: 9 + H5: 3,5 + H3: 3,4,5,7 + I5: 1,2,8 + H3: 3,5
* CNT   4 HDP CHAINS /  37 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..5.7....8.........94..9...6.....7.4......3.9.7.4.8....6..5.2......1..78.. initial
98.7..6..5.7....8.........947.9...6.....7.4......3.9.774.8....68.5.2......1..78.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C1,C3: 4.. / C1 = 4  =>  1 pairs (_) / C3 = 4  =>  4 pairs (_)
D6,F6: 4.. / D6 = 4  =>  0 pairs (_) / F6 = 4  =>  1 pairs (_)
B5,B6: 5.. / B5 = 5  =>  1 pairs (_) / B6 = 5  =>  1 pairs (_)
G3,H3: 7.. / G3 = 7  =>  1 pairs (_) / H3 = 7  =>  0 pairs (_)
G8,H8: 7.. / G8 = 7  =>  0 pairs (_) / H8 = 7  =>  1 pairs (_)
G3,G8: 7.. / G3 = 7  =>  1 pairs (_) / G8 = 7  =>  0 pairs (_)
H3,H8: 7.. / H3 = 7  =>  0 pairs (_) / H8 = 7  =>  1 pairs (_)
E3,F3: 8.. / E3 = 8  =>  1 pairs (_) / F3 = 8  =>  1 pairs (_)
I4,I5: 8.. / I4 = 8  =>  2 pairs (_) / I5 = 8  =>  0 pairs (_)
C6,F6: 8.. / C6 = 8  =>  1 pairs (_) / F6 = 8  =>  2 pairs (_)
E3,E4: 8.. / E3 = 8  =>  1 pairs (_) / E4 = 8  =>  1 pairs (_)
E2,F2: 9.. / E2 = 9  =>  1 pairs (_) / F2 = 9  =>  0 pairs (_)
B5,C5: 9.. / B5 = 9  =>  3 pairs (_) / C5 = 9  =>  1 pairs (_)
C5,C7: 9.. / C5 = 9  =>  1 pairs (_) / C7 = 9  =>  3 pairs (_)
* DURATION: 0:00:08.968984  START: 09:56:47.003904  END: 09:56:55.972888 2020-11-08
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C1,C3: 4.. / C1 = 4 ==>  1 pairs (_) / C3 = 4 ==>  4 pairs (_)
C5,C7: 9.. / C5 = 9  =>  0 pairs (X) / C7 = 9 ==>  0 pairs (*)
* DURATION: 0:00:45.301363  START: 09:56:55.973485  END: 09:57:41.274848 2020-11-08
* REASONING C5,C7: 9..
* DIS # C7: 9 # H5: 1,2 => CTR => H5: 3,5
* DIS # C7: 9 + H5: 3,5 # H3: 1,2 => CTR => H3: 3,4,5,7
* DIS # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # I5: 3,5 => CTR => I5: 1,2,8
* PRF # C7: 9 + H5: 3,5 + H3: 3,4,5,7 + I5: 1,2,8 # H3: 3,5 => SOL
* STA # C7: 9 + H5: 3,5 + H3: 3,4,5,7 + I5: 1,2,8 + H3: 3,5
* CNT   4 HDP CHAINS /  37 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

2317188;2019_03_16;PAQ;24;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C1,C3: 4..:

* INC # C3: 4 # B2: 2,3 => UNS
* INC # C3: 4 # A3: 2,3 => UNS
* INC # C3: 4 # B3: 2,3 => UNS
* INC # C3: 4 # F1: 2,3 => UNS
* INC # C3: 4 # H1: 2,3 => UNS
* INC # C3: 4 # I1: 2,3 => UNS
* INC # C3: 4 # C4: 2,3 => UNS
* INC # C3: 4 # C5: 2,3 => UNS
* INC # C3: 4 # C7: 2,3 => UNS
* INC # C3: 4 # A5: 1,2 => UNS
* INC # C3: 4 # B5: 1,2 => UNS
* INC # C3: 4 # B6: 1,2 => UNS
* INC # C3: 4 # H6: 1,2 => UNS
* INC # C3: 4 # H6: 5 => UNS
* INC # C3: 4 # A3: 1,2 => UNS
* INC # C3: 4 # A3: 3,6 => UNS
* INC # C3: 4 # C5: 6,8 => UNS
* INC # C3: 4 # C5: 2,3,9 => UNS
* INC # C3: 4 # F6: 6,8 => UNS
* INC # C3: 4 # F6: 4 => UNS
* INC # C3: 4 # F6: 4,6 => UNS
* INC # C3: 4 # F6: 8 => UNS
* INC # C3: 4 # D2: 4,6 => UNS
* INC # C3: 4 # D8: 4,6 => UNS
* INC # C3: 4 # D9: 4,6 => UNS
* INC # C3: 4 => UNS
* INC # C1: 4 # F1: 1,5 => UNS
* INC # C1: 4 # D3: 1,5 => UNS
* INC # C1: 4 # E3: 1,5 => UNS
* INC # C1: 4 # F3: 1,5 => UNS
* INC # C1: 4 # H1: 1,5 => UNS
* INC # C1: 4 # I1: 1,5 => UNS
* INC # C1: 4 # E4: 1,5 => UNS
* INC # C1: 4 # E7: 1,5 => UNS
* INC # C1: 4 => UNS
* CNT  35 HDP CHAINS /  35 HYP OPENED

Full list of HDP chains traversed for C5,C7: 9..:

* INC # C7: 9 # G4: 1,2 => UNS
* INC # C7: 9 # I4: 1,2 => UNS
* DIS # C7: 9 # H5: 1,2 => CTR => H5: 3,5
* INC # C7: 9 + H5: 3,5 # I5: 1,2 => UNS
* INC # C7: 9 + H5: 3,5 # A6: 1,2 => UNS
* INC # C7: 9 + H5: 3,5 # D6: 1,2 => UNS
* INC # C7: 9 + H5: 3,5 # F6: 1,2 => UNS
* INC # C7: 9 + H5: 3,5 # H1: 1,2 => UNS
* DIS # C7: 9 + H5: 3,5 # H3: 1,2 => CTR => H3: 3,4,5,7
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # H7: 1,2 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # G4: 1,2 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # I4: 1,2 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # I5: 1,2 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # A6: 1,2 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # D6: 1,2 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # F6: 1,2 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # H1: 1,2 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # H7: 1,2 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # A9: 3,6 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # B9: 3,6 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # D8: 3,6 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # F8: 3,6 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # B2: 3,6 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # B3: 3,6 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # F7: 1,5 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # F7: 3 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # G7: 1,5 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # H7: 1,5 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # E1: 1,5 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # E3: 1,5 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # E4: 1,5 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # G4: 3,5 => UNS
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # I4: 3,5 => UNS
* DIS # C7: 9 + H5: 3,5 + H3: 3,4,5,7 # I5: 3,5 => CTR => I5: 1,2,8
* INC # C7: 9 + H5: 3,5 + H3: 3,4,5,7 + I5: 1,2,8 # H1: 3,5 => UNS
* PRF # C7: 9 + H5: 3,5 + H3: 3,4,5,7 + I5: 1,2,8 # H3: 3,5 => SOL
* STA # C7: 9 + H5: 3,5 + H3: 3,4,5,7 + I5: 1,2,8 + H3: 3,5
* CNT  36 HDP CHAINS /  37 HYP OPENED