Analysis of xx-ph-02316276-2019_01_13-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7..5...84..4.6....8..9...3..2...1..9.....7...5.....3...793....5..8....9. initial

Autosolve

position: 98.7..6..7..5...84..4.6....8..9...3..2...1..9.9...7...5.....3...793....5..8....9. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for B3,B4: 5..:

* DIS # B4: 5 # C2: 2 => CTR => C2: 1,6
* DIS # B4: 5 + C2: 1,6 # B9: 1,6 => CTR => B9: 4
* DIS # B4: 5 + C2: 1,6 + B9: 4 # F4: 2,4 => CTR => F4: 6
* DIS # B4: 5 + C2: 1,6 + B9: 4 + F4: 6 # A6: 4,6 => CTR => A6: 1
* PRF # B4: 5 + C2: 1,6 + B9: 4 + F4: 6 + A6: 1 => SOL
* STA B4: 5
* CNT   5 HDP CHAINS /   7 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..7..5...84..4.6....8..9...3..2...1..9.....7...5.....3...793....5..8....9. initial
98.7..6..7..5...84..4.6....8..9...3..2...1..9.9...7...5.....3...793....5..8....9. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
I1,I3: 3.. / I1 = 3  =>  1 pairs (_) / I3 = 3  =>  3 pairs (_)
E5,E6: 3.. / E5 = 3  =>  1 pairs (_) / E6 = 3  =>  0 pairs (_)
A9,B9: 3.. / A9 = 3  =>  2 pairs (_) / B9 = 3  =>  2 pairs (_)
E1,F1: 4.. / E1 = 4  =>  2 pairs (_) / F1 = 4  =>  1 pairs (_)
C1,B3: 5.. / C1 = 5  => 10 pairs (_) / B3 = 5  =>  0 pairs (_)
E9,F9: 5.. / E9 = 5  =>  3 pairs (_) / F9 = 5  =>  0 pairs (_)
C1,H1: 5.. / C1 = 5  => 10 pairs (_) / H1 = 5  =>  0 pairs (_)
B3,B4: 5.. / B3 = 5  =>  0 pairs (_) / B4 = 5  => 10 pairs (_)
F4,F9: 5.. / F4 = 5  =>  3 pairs (_) / F9 = 5  =>  0 pairs (_)
B2,C2: 6.. / B2 = 6  =>  1 pairs (_) / C2 = 6  =>  2 pairs (_)
C4,C5: 7.. / C4 = 7  =>  0 pairs (_) / C5 = 7  =>  0 pairs (_)
E7,E9: 7.. / E7 = 7  =>  2 pairs (_) / E9 = 7  =>  0 pairs (_)
D3,F3: 8.. / D3 = 8  =>  4 pairs (_) / F3 = 8  =>  2 pairs (_)
I7,G8: 8.. / I7 = 8  =>  0 pairs (_) / G8 = 8  =>  0 pairs (_)
I6,I7: 8.. / I6 = 8  =>  0 pairs (_) / I7 = 8  =>  0 pairs (_)
G2,G3: 9.. / G2 = 9  =>  6 pairs (_) / G3 = 9  =>  1 pairs (_)
E7,F7: 9.. / E7 = 9  =>  1 pairs (_) / F7 = 9  =>  2 pairs (_)
F3,G3: 9.. / F3 = 9  =>  6 pairs (_) / G3 = 9  =>  1 pairs (_)
E2,E7: 9.. / E2 = 9  =>  2 pairs (_) / E7 = 9  =>  1 pairs (_)
* DURATION: 0:00:13.517364  START: 22:20:28.003939  END: 22:20:41.521303 2020-11-06
* CP COUNT: (19)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B3,B4: 5.. / B3 = 5  =>  0 pairs (X) / B4 = 5 ==>  0 pairs (*)
* DURATION: 0:00:20.189103  START: 22:20:41.521853  END: 22:21:01.710956 2020-11-06
* REASONING B3,B4: 5..
* DIS # B4: 5 # C2: 2 => CTR => C2: 1,6
* DIS # B4: 5 + C2: 1,6 # B9: 1,6 => CTR => B9: 4
* DIS # B4: 5 + C2: 1,6 + B9: 4 # F4: 2,4 => CTR => F4: 6
* DIS # B4: 5 + C2: 1,6 + B9: 4 + F4: 6 # A6: 4,6 => CTR => A6: 1
* PRF # B4: 5 + C2: 1,6 + B9: 4 + F4: 6 + A6: 1 => SOL
* STA B4: 5
* CNT   5 HDP CHAINS /   7 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

2316276;2019_01_13;PAQ;25;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B3,B4: 5..:

* INC # B4: 5 # C2: 1,6 => UNS
* DIS # B4: 5 # C2: 2 => CTR => C2: 1,6
* INC # B4: 5 + C2: 1,6 # B7: 1,6 => UNS
* DIS # B4: 5 + C2: 1,6 # B9: 1,6 => CTR => B9: 4
* DIS # B4: 5 + C2: 1,6 + B9: 4 # F4: 2,4 => CTR => F4: 6
* DIS # B4: 5 + C2: 1,6 + B9: 4 + F4: 6 # A6: 4,6 => CTR => A6: 1
* PRF # B4: 5 + C2: 1,6 + B9: 4 + F4: 6 + A6: 1 => SOL
* STA B4: 5
* CNT   7 HDP CHAINS /   7 HYP OPENED