Analysis of xx-ph-00000175-L12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ....5....4....9.3..8.1....6.1.8....5.....24....756....3......2.......9...68.....7 initial

Autosolve

position: ....5....4....9.3..8.1....6.1.8....5.....24....756....3......2.......9...68.....7 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for B6,F6: 4..:

* DIS # F6: 4 # E3: 3,7 => CTR => E3: 2,4
* DIS # F6: 4 + E3: 2,4 # A9: 1,5 => CTR => A9: 2,9
* PRF # F6: 4 + E3: 2,4 + A9: 2,9 # D1: 2,4 => SOL
* STA # F6: 4 + E3: 2,4 + A9: 2,9 + D1: 2,4
* CNT   3 HDP CHAINS /  23 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

....5....4....9.3..8.1....6.1.8....5.....24....756....3......2.......9...68.....7 initial
....5....4....9.3..8.1....6.1.8....5.....24....756....3......2.......9...68.....7 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
E5,F6: 1.. / E5 = 1  =>  3 pairs (_) / F6 = 1  =>  1 pairs (_)
I8,G9: 3.. / I8 = 3  =>  1 pairs (_) / G9 = 3  =>  0 pairs (_)
C4,B6: 4.. / C4 = 4  =>  4 pairs (_) / B6 = 4  =>  1 pairs (_)
B6,F6: 4.. / B6 = 4  =>  1 pairs (_) / F6 = 4  =>  4 pairs (_)
G7,H8: 6.. / G7 = 6  =>  0 pairs (_) / H8 = 6  =>  3 pairs (_)
C2,D2: 6.. / C2 = 6  =>  1 pairs (_) / D2 = 6  =>  0 pairs (_)
G4,G7: 6.. / G4 = 6  =>  3 pairs (_) / G7 = 6  =>  0 pairs (_)
F1,E2: 8.. / F1 = 8  =>  1 pairs (_) / E2 = 8  =>  1 pairs (_)
A5,A6: 8.. / A5 = 8  =>  1 pairs (_) / A6 = 8  =>  1 pairs (_)
* DURATION: 0:00:07.608832  START: 03:41:30.572201  END: 03:41:38.181033 2020-09-29
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B6,F6: 4.. / B6 = 4  =>  0 pairs (X) / F6 = 4 ==>  0 pairs (*)
* DURATION: 0:00:24.855188  START: 03:41:38.181867  END: 03:42:03.037055 2020-09-29
* REASONING B6,F6: 4..
* DIS # F6: 4 # E3: 3,7 => CTR => E3: 2,4
* DIS # F6: 4 + E3: 2,4 # A9: 1,5 => CTR => A9: 2,9
* PRF # F6: 4 + E3: 2,4 + A9: 2,9 # D1: 2,4 => SOL
* STA # F6: 4 + E3: 2,4 + A9: 2,9 + D1: 2,4
* CNT   3 HDP CHAINS /  23 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

175;L12;elev;21;11.50;11.50;7.80

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B6,F6: 4..:

* INC # F6: 4 # F7: 6,8 => UNS
* INC # F6: 4 # F8: 6,8 => UNS
* INC # F6: 4 # D1: 3,7 => UNS
* DIS # F6: 4 # E3: 3,7 => CTR => E3: 2,4
* INC # F6: 4 + E3: 2,4 # D1: 3,7 => UNS
* INC # F6: 4 + E3: 2,4 # D1: 2,4,6 => UNS
* INC # F6: 4 + E3: 2,4 # E4: 3,7 => UNS
* INC # F6: 4 + E3: 2,4 # D5: 3,7 => UNS
* INC # F6: 4 + E3: 2,4 # G4: 3,7 => UNS
* INC # F6: 4 + E3: 2,4 # G4: 2,6 => UNS
* INC # F6: 4 + E3: 2,4 # F7: 1,5 => UNS
* INC # F6: 4 + E3: 2,4 # F8: 1,5 => UNS
* DIS # F6: 4 + E3: 2,4 # A9: 1,5 => CTR => A9: 2,9
* INC # F6: 4 + E3: 2,4 + A9: 2,9 # G9: 1,5 => UNS
* INC # F6: 4 + E3: 2,4 + A9: 2,9 # H9: 1,5 => UNS
* INC # F6: 4 + E3: 2,4 + A9: 2,9 # F7: 1,5 => UNS
* INC # F6: 4 + E3: 2,4 + A9: 2,9 # F8: 1,5 => UNS
* INC # F6: 4 + E3: 2,4 + A9: 2,9 # G9: 1,5 => UNS
* INC # F6: 4 + E3: 2,4 + A9: 2,9 # H9: 1,5 => UNS
* INC # F6: 4 + E3: 2,4 + A9: 2,9 # F7: 6,8 => UNS
* INC # F6: 4 + E3: 2,4 + A9: 2,9 # F8: 6,8 => UNS
* PRF # F6: 4 + E3: 2,4 + A9: 2,9 # D1: 2,4 => SOL
* STA # F6: 4 + E3: 2,4 + A9: 2,9 + D1: 2,4
* CNT  22 HDP CHAINS /  23 HYP OPENED