Analysis of xx-ph-00001093-850-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 1.3..6.......8..3..8..7....2...3...5.6...1.7...4...9...3...8.6....5....29.....4.. initial

Autosolve

position: 1.3..6.......8..3..8..7....2...3...5.6...1.7...4...9...3...8.6....5....29.....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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for G5,H6: 2..:

* DIS # H6: 2 # I5: 3,8 => CTR => I5: 4
* DIS # H6: 2 + I5: 4 # B6: 5,7 => CTR => B6: 1
* DIS # H6: 2 + I5: 4 + B6: 1 # G4: 1,8 => CTR => G4: 6
* DIS # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A8: 4,7 => CTR => A8: 6,8
* PRF # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # H1: 8,9 => SOL
* STA # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 + H1: 8,9
* CNT   5 HDP CHAINS /  47 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

1.3..6.......8..3..8..7....2...3...5.6...1.7...4...9...3...8.6....5....29.....4.. initial
1.3..6.......8..3..8..7....2...3...5.6...1.7...4...9...3...8.6....5....29.....4.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D2,D3: 1.. / D2 = 1  =>  0 pairs (_) / D3 = 1  =>  3 pairs (_)
G5,H6: 2.. / G5 = 2  =>  1 pairs (_) / H6 = 2  =>  3 pairs (_)
D3,F3: 3.. / D3 = 3  =>  0 pairs (_) / F3 = 3  =>  3 pairs (_)
A5,A6: 3.. / A5 = 3  =>  4 pairs (_) / A6 = 3  =>  1 pairs (_)
G8,I9: 3.. / G8 = 3  =>  1 pairs (_) / I9 = 3  =>  5 pairs (_)
A6,I6: 3.. / A6 = 3  =>  1 pairs (_) / I6 = 3  =>  4 pairs (_)
F8,G8: 3.. / F8 = 3  =>  5 pairs (_) / G8 = 3  =>  1 pairs (_)
D3,D9: 3.. / D3 = 3  =>  0 pairs (_) / D9 = 3  =>  3 pairs (_)
G5,G8: 3.. / G5 = 3  =>  5 pairs (_) / G8 = 3  =>  1 pairs (_)
H4,I5: 4.. / H4 = 4  =>  2 pairs (_) / I5 = 4  =>  1 pairs (_)
G7,H9: 5.. / G7 = 5  =>  2 pairs (_) / H9 = 5  =>  1 pairs (_)
G4,I6: 6.. / G4 = 6  =>  0 pairs (_) / I6 = 6  =>  3 pairs (_)
D4,G4: 6.. / D4 = 6  =>  3 pairs (_) / G4 = 6  =>  0 pairs (_)
I7,H8: 9.. / I7 = 9  =>  1 pairs (_) / H8 = 9  =>  1 pairs (_)
* DURATION: 0:00:11.005216  START: 01:45:16.883376  END: 01:45:27.888592 2020-11-25
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G5,G8: 3.. / G5 = 3 ==>  5 pairs (_) / G8 = 3 ==>  1 pairs (_)
F8,G8: 3.. / F8 = 3 ==>  5 pairs (_) / G8 = 3 ==>  1 pairs (_)
G8,I9: 3.. / G8 = 3 ==>  1 pairs (_) / I9 = 3 ==>  5 pairs (_)
A6,I6: 3.. / A6 = 3 ==>  1 pairs (_) / I6 = 3 ==>  4 pairs (_)
A5,A6: 3.. / A5 = 3 ==>  4 pairs (_) / A6 = 3 ==>  1 pairs (_)
G5,H6: 2.. / G5 = 2  =>  0 pairs (X) / H6 = 2 ==>  0 pairs (*)
* DURATION: 0:01:41.744424  START: 01:45:27.889345  END: 01:47:09.633769 2020-11-25
* REASONING G5,H6: 2..
* DIS # H6: 2 # I5: 3,8 => CTR => I5: 4
* DIS # H6: 2 + I5: 4 # B6: 5,7 => CTR => B6: 1
* DIS # H6: 2 + I5: 4 + B6: 1 # G4: 1,8 => CTR => G4: 6
* DIS # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A8: 4,7 => CTR => A8: 6,8
* PRF # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # H1: 8,9 => SOL
* STA # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 + H1: 8,9
* CNT   5 HDP CHAINS /  47 HYP OPENED
* DCP COUNT: (6)
* SOLUTION FOUND

Header Info

1093;850;elev;22;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G5,G8: 3..:

* INC # G5: 3 # C5: 5,8 => UNS
* INC # G5: 3 # C5: 9 => UNS
* INC # G5: 3 # B6: 5,7 => UNS
* INC # G5: 3 # B6: 1 => UNS
* INC # G5: 3 # H4: 4,8 => UNS
* INC # G5: 3 # H4: 1 => UNS
* INC # G5: 3 # D5: 4,8 => UNS
* INC # G5: 3 # D5: 2,9 => UNS
* INC # G5: 3 # I1: 4,8 => UNS
* INC # G5: 3 # I1: 7,9 => UNS
* INC # G5: 3 # D7: 2,7 => UNS
* INC # G5: 3 # D9: 2,7 => UNS
* INC # G5: 3 # B9: 2,7 => UNS
* INC # G5: 3 # C9: 2,7 => UNS
* INC # G5: 3 => UNS
* INC # G8: 3 # H6: 2,8 => UNS
* INC # G8: 3 # H6: 1 => UNS
* INC # G8: 3 # D5: 2,8 => UNS
* INC # G8: 3 # D5: 4,9 => UNS
* INC # G8: 3 # G1: 2,8 => UNS
* INC # G8: 3 # G1: 5,7 => UNS
* INC # G8: 3 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for F8,G8: 3..:

* INC # F8: 3 # C5: 5,8 => UNS
* INC # F8: 3 # C5: 9 => UNS
* INC # F8: 3 # B6: 5,7 => UNS
* INC # F8: 3 # B6: 1 => UNS
* INC # F8: 3 # H4: 4,8 => UNS
* INC # F8: 3 # H4: 1 => UNS
* INC # F8: 3 # D5: 4,8 => UNS
* INC # F8: 3 # D5: 2,9 => UNS
* INC # F8: 3 # I1: 4,8 => UNS
* INC # F8: 3 # I1: 7,9 => UNS
* INC # F8: 3 # D7: 2,7 => UNS
* INC # F8: 3 # D9: 2,7 => UNS
* INC # F8: 3 # B9: 2,7 => UNS
* INC # F8: 3 # C9: 2,7 => UNS
* INC # F8: 3 => UNS
* INC # G8: 3 # H6: 2,8 => UNS
* INC # G8: 3 # H6: 1 => UNS
* INC # G8: 3 # D5: 2,8 => UNS
* INC # G8: 3 # D5: 4,9 => UNS
* INC # G8: 3 # G1: 2,8 => UNS
* INC # G8: 3 # G1: 5,7 => UNS
* INC # G8: 3 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for G8,I9: 3..:

* INC # I9: 3 # C5: 5,8 => UNS
* INC # I9: 3 # C5: 9 => UNS
* INC # I9: 3 # B6: 5,7 => UNS
* INC # I9: 3 # B6: 1 => UNS
* INC # I9: 3 # H4: 4,8 => UNS
* INC # I9: 3 # H4: 1 => UNS
* INC # I9: 3 # D5: 4,8 => UNS
* INC # I9: 3 # D5: 2,9 => UNS
* INC # I9: 3 # I1: 4,8 => UNS
* INC # I9: 3 # I1: 7,9 => UNS
* INC # I9: 3 # D7: 2,7 => UNS
* INC # I9: 3 # D9: 2,7 => UNS
* INC # I9: 3 # B9: 2,7 => UNS
* INC # I9: 3 # C9: 2,7 => UNS
* INC # I9: 3 => UNS
* INC # G8: 3 # H6: 2,8 => UNS
* INC # G8: 3 # H6: 1 => UNS
* INC # G8: 3 # D5: 2,8 => UNS
* INC # G8: 3 # D5: 4,9 => UNS
* INC # G8: 3 # G1: 2,8 => UNS
* INC # G8: 3 # G1: 5,7 => UNS
* INC # G8: 3 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for A6,I6: 3..:

* INC # I6: 3 # H6: 2,8 => UNS
* INC # I6: 3 # H6: 1 => UNS
* INC # I6: 3 # D5: 2,8 => UNS
* INC # I6: 3 # D5: 4,9 => UNS
* INC # I6: 3 # G1: 2,8 => UNS
* INC # I6: 3 # G1: 5,7 => UNS
* INC # I6: 3 # H4: 4,8 => UNS
* INC # I6: 3 # H4: 1 => UNS
* INC # I6: 3 # D5: 4,8 => UNS
* INC # I6: 3 # D5: 2,9 => UNS
* INC # I6: 3 # I1: 4,8 => UNS
* INC # I6: 3 # I1: 7,9 => UNS
* INC # I6: 3 # H1: 8,9 => UNS
* INC # I6: 3 # H1: 2,4,5 => UNS
* INC # I6: 3 # C9: 5,8 => UNS
* INC # I6: 3 # C9: 1,2,6,7 => UNS
* INC # I6: 3 # H1: 5,8 => UNS
* INC # I6: 3 # H1: 2,4,9 => UNS
* INC # I6: 3 => UNS
* INC # A6: 3 # C5: 5,8 => UNS
* INC # A6: 3 # C5: 9 => UNS
* INC # A6: 3 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for A5,A6: 3..:

* INC # A5: 3 # H6: 2,8 => UNS
* INC # A5: 3 # H6: 1 => UNS
* INC # A5: 3 # D5: 2,8 => UNS
* INC # A5: 3 # D5: 4,9 => UNS
* INC # A5: 3 # G1: 2,8 => UNS
* INC # A5: 3 # G1: 5,7 => UNS
* INC # A5: 3 # H4: 4,8 => UNS
* INC # A5: 3 # H4: 1 => UNS
* INC # A5: 3 # D5: 4,8 => UNS
* INC # A5: 3 # D5: 2,9 => UNS
* INC # A5: 3 # I1: 4,8 => UNS
* INC # A5: 3 # I1: 7,9 => UNS
* INC # A5: 3 # H1: 8,9 => UNS
* INC # A5: 3 # H1: 2,4,5 => UNS
* INC # A5: 3 # C9: 5,8 => UNS
* INC # A5: 3 # C9: 1,2,6,7 => UNS
* INC # A5: 3 # H1: 5,8 => UNS
* INC # A5: 3 # H1: 2,4,9 => UNS
* INC # A5: 3 => UNS
* INC # A6: 3 # C5: 5,8 => UNS
* INC # A6: 3 # C5: 9 => UNS
* INC # A6: 3 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for G5,H6: 2..:

* INC # H6: 2 # A6: 5,7 => UNS
* INC # H6: 2 # B6: 5,7 => UNS
* DIS # H6: 2 # I5: 3,8 => CTR => I5: 4
* INC # H6: 2 + I5: 4 # I6: 3,8 => UNS
* INC # H6: 2 + I5: 4 # I6: 3,8 => UNS
* INC # H6: 2 + I5: 4 # I6: 1,6 => UNS
* INC # H6: 2 + I5: 4 # A5: 3,8 => UNS
* INC # H6: 2 + I5: 4 # A5: 5 => UNS
* INC # H6: 2 + I5: 4 # G8: 3,8 => UNS
* INC # H6: 2 + I5: 4 # G8: 1,7 => UNS
* INC # H6: 2 + I5: 4 # A6: 5,7 => UNS
* DIS # H6: 2 + I5: 4 # B6: 5,7 => CTR => B6: 1
* INC # H6: 2 + I5: 4 + B6: 1 # A6: 5,7 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 # A6: 3,8 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 # A6: 5,7 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 # A6: 3,8 => UNS
* DIS # H6: 2 + I5: 4 + B6: 1 # G4: 1,8 => CTR => G4: 6
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A5: 3,8 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A5: 5 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # G8: 3,8 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # G8: 1,7 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # C4: 7,9 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # C4: 8 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # D4: 7,9 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # F4: 7,9 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # B1: 7,9 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # B2: 7,9 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A6: 5,7 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A6: 3,8 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A5: 3,8 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A5: 5 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # G8: 3,8 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # G8: 1,7 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A6: 3,8 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A6: 5,7 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # I9: 3,8 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # I9: 1,7 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A7: 4,7 => UNS
* DIS # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A8: 4,7 => CTR => A8: 6,8
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # A7: 4,7 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # A7: 5 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # F8: 4,7 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # F8: 3,9 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # B1: 4,7 => UNS
* INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # B2: 4,7 => UNS
* PRF # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # H1: 8,9 => SOL
* STA # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 + H1: 8,9
* CNT  46 HDP CHAINS /  47 HYP OPENED