Analysis of xx-ph-00001418-361-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ...4..7.9..71..2..8......5..8...5.....124....6..........4.2.9.1.6...3...........7 initial

Autosolve

position: ...4..7.9..71..2..8......5..8...5.....124....6....1.....4.2.9.1.6...3........4..7 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000011

List of important HDP chains detected for H1,H4: 1..:

* DIS # H4: 1 # F5: 7,9 => CTR => F5: 6,8
* DIS # H4: 1 + F5: 6,8 # F7: 6,8 => CTR => F7: 7
* DIS # H4: 1 + F5: 6,8 + F7: 7 # B5: 3,5 => CTR => B5: 7,9
* DIS # H4: 1 + F5: 6,8 + F7: 7 + B5: 7,9 # B6: 7,9 => CTR => B6: 2,3,4,5
* PRF # H4: 1 + F5: 6,8 + F7: 7 + B5: 7,9 + B6: 2,3,4,5 # B1: 1,2 => SOL
* STA # H4: 1 + F5: 6,8 + F7: 7 + B5: 7,9 + B6: 2,3,4,5 + B1: 1,2
* CNT   5 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

...4..7.9..71..2..8......5..8...5.....124....6..........4.2.9.1.6...3...........7 initial
...4..7.9..71..2..8......5..8...5.....124....6....1.....4.2.9.1.6...3........4..7 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H1,G3: 1.. / H1 = 1  =>  1 pairs (_) / G3 = 1  =>  2 pairs (_)
G4,H4: 1.. / G4 = 1  =>  1 pairs (_) / H4 = 1  =>  2 pairs (_)
E8,E9: 1.. / E8 = 1  =>  0 pairs (_) / E9 = 1  =>  1 pairs (_)
B3,G3: 1.. / B3 = 1  =>  1 pairs (_) / G3 = 1  =>  2 pairs (_)
A8,E8: 1.. / A8 = 1  =>  1 pairs (_) / E8 = 1  =>  0 pairs (_)
G3,G4: 1.. / G3 = 1  =>  2 pairs (_) / G4 = 1  =>  1 pairs (_)
H1,H4: 1.. / H1 = 1  =>  1 pairs (_) / H4 = 1  =>  2 pairs (_)
F1,F3: 2.. / F1 = 2  =>  0 pairs (_) / F3 = 2  =>  1 pairs (_)
A4,B6: 4.. / A4 = 4  =>  0 pairs (_) / B6 = 4  =>  0 pairs (_)
A2,A4: 4.. / A2 = 4  =>  0 pairs (_) / A4 = 4  =>  0 pairs (_)
E1,E2: 5.. / E1 = 5  =>  0 pairs (_) / E2 = 5  =>  0 pairs (_)
C1,C3: 6.. / C1 = 6  =>  1 pairs (_) / C3 = 6  =>  1 pairs (_)
C8,C9: 8.. / C8 = 8  =>  3 pairs (_) / C9 = 8  =>  0 pairs (_)
* DURATION: 0:00:11.551985  START: 05:35:48.464239  END: 05:36:00.016224 2020-11-28
* CP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C8,C9: 8.. / C8 = 8 ==>  3 pairs (_) / C9 = 8 ==>  0 pairs (_)
H1,H4: 1.. / H1 = 1  =>  0 pairs (X) / H4 = 1 ==>  0 pairs (*)
* DURATION: 0:00:39.711406  START: 05:36:00.016997  END: 05:36:39.728403 2020-11-28
* REASONING H1,H4: 1..
* DIS # H4: 1 # F5: 7,9 => CTR => F5: 6,8
* DIS # H4: 1 + F5: 6,8 # F7: 6,8 => CTR => F7: 7
* DIS # H4: 1 + F5: 6,8 + F7: 7 # B5: 3,5 => CTR => B5: 7,9
* DIS # H4: 1 + F5: 6,8 + F7: 7 + B5: 7,9 # B6: 7,9 => CTR => B6: 2,3,4,5
* PRF # H4: 1 + F5: 6,8 + F7: 7 + B5: 7,9 + B6: 2,3,4,5 # B1: 1,2 => SOL
* STA # H4: 1 + F5: 6,8 + F7: 7 + B5: 7,9 + B6: 2,3,4,5 + B1: 1,2
* CNT   5 HDP CHAINS /  22 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

1418;361;elev;21;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C8,C9: 8..:

* INC # C8: 8 # E8: 7,9 => UNS
* INC # C8: 8 # E8: 1 => UNS
* INC # C8: 8 # A8: 7,9 => UNS
* INC # C8: 8 # A8: 1 => UNS
* INC # C8: 8 # D3: 7,9 => UNS
* INC # C8: 8 # D4: 7,9 => UNS
* INC # C8: 8 # D6: 7,9 => UNS
* INC # C8: 8 # I8: 4,5 => UNS
* INC # C8: 8 # I8: 2 => UNS
* INC # C8: 8 # G6: 4,5 => UNS
* INC # C8: 8 # G6: 3,8 => UNS
* INC # C8: 8 # I8: 2,4 => UNS
* INC # C8: 8 # I8: 5 => UNS
* INC # C8: 8 # H4: 2,4 => UNS
* INC # C8: 8 # H6: 2,4 => UNS
* INC # C8: 8 => UNS
* INC # C9: 8 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for H1,H4: 1..:

* INC # H4: 1 # A5: 7,9 => UNS
* INC # H4: 1 # B5: 7,9 => UNS
* DIS # H4: 1 # F5: 7,9 => CTR => F5: 6,8
* INC # H4: 1 + F5: 6,8 # A5: 7,9 => UNS
* INC # H4: 1 + F5: 6,8 # B5: 7,9 => UNS
* INC # H4: 1 + F5: 6,8 # B6: 7,9 => UNS
* INC # H4: 1 + F5: 6,8 # D6: 7,9 => UNS
* INC # H4: 1 + F5: 6,8 # E6: 7,9 => UNS
* INC # H4: 1 + F5: 6,8 # G5: 6,8 => UNS
* INC # H4: 1 + F5: 6,8 # I5: 6,8 => UNS
* INC # H4: 1 + F5: 6,8 # F1: 6,8 => UNS
* INC # H4: 1 + F5: 6,8 # F2: 6,8 => UNS
* DIS # H4: 1 + F5: 6,8 # F7: 6,8 => CTR => F7: 7
* INC # H4: 1 + F5: 6,8 + F7: 7 # G5: 6,8 => UNS
* INC # H4: 1 + F5: 6,8 + F7: 7 # I5: 6,8 => UNS
* INC # H4: 1 + F5: 6,8 + F7: 7 # F1: 6,8 => UNS
* INC # H4: 1 + F5: 6,8 + F7: 7 # F2: 6,8 => UNS
* INC # H4: 1 + F5: 6,8 + F7: 7 # B5: 7,9 => UNS
* DIS # H4: 1 + F5: 6,8 + F7: 7 # B5: 3,5 => CTR => B5: 7,9
* DIS # H4: 1 + F5: 6,8 + F7: 7 + B5: 7,9 # B6: 7,9 => CTR => B6: 2,3,4,5
* PRF # H4: 1 + F5: 6,8 + F7: 7 + B5: 7,9 + B6: 2,3,4,5 # B1: 1,2 => SOL
* STA # H4: 1 + F5: 6,8 + F7: 7 + B5: 7,9 + B6: 2,3,4,5 + B1: 1,2
* CNT  21 HDP CHAINS /  22 HYP OPENED