Analysis of xx-ph-02318656-2019_03_16-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7..5..9...6...4...8..9..3...5.....2.....1....5......93..83.......7.5.8.. initial

Autosolve

position: 98.76.5..7..5..9...65.94...8..9..3...5.....2.....1....5......93..83.......7.5.8.. 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 B9,F9: 9..:

* DIS # B9: 9 # D3: 1,2 => CTR => D3: 8
* DIS # B9: 9 + D3: 8 # I3: 1,2 => CTR => I3: 7
* PRF # B9: 9 + D3: 8 + I3: 7 # H8: 1,4 => SOL
* STA # B9: 9 + D3: 8 + I3: 7 + H8: 1,4
* CNT   3 HDP CHAINS /  18 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

98.76.5..7..5..9...6...4...8..9..3...5.....2.....1....5......93..83.......7.5.8.. initial
98.76.5..7..5..9...65.94...8..9..3...5.....2.....1....5......93..83.......7.5.8.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
A9,B9: 3.. / A9 = 3  =>  2 pairs (_) / B9 = 3  =>  0 pairs (_)
A3,H3: 3.. / A3 = 3  =>  2 pairs (_) / H3 = 3  =>  2 pairs (_)
E2,E5: 3.. / E2 = 3  =>  1 pairs (_) / E5 = 3  =>  1 pairs (_)
F4,F6: 5.. / F4 = 5  =>  2 pairs (_) / F6 = 5  =>  0 pairs (_)
H8,I8: 5.. / H8 = 5  =>  0 pairs (_) / I8 = 5  =>  0 pairs (_)
H2,I2: 6.. / H2 = 6  =>  1 pairs (_) / I2 = 6  =>  0 pairs (_)
B4,B6: 7.. / B4 = 7  =>  1 pairs (_) / B6 = 7  =>  1 pairs (_)
C5,C6: 9.. / C5 = 9  =>  0 pairs (_) / C6 = 9  =>  0 pairs (_)
I5,I6: 9.. / I5 = 9  =>  0 pairs (_) / I6 = 9  =>  0 pairs (_)
B8,B9: 9.. / B8 = 9  =>  0 pairs (_) / B9 = 9  =>  2 pairs (_)
F8,F9: 9.. / F8 = 9  =>  2 pairs (_) / F9 = 9  =>  0 pairs (_)
C5,I5: 9.. / C5 = 9  =>  0 pairs (_) / I5 = 9  =>  0 pairs (_)
C6,I6: 9.. / C6 = 9  =>  0 pairs (_) / I6 = 9  =>  0 pairs (_)
B8,F8: 9.. / B8 = 9  =>  0 pairs (_) / F8 = 9  =>  2 pairs (_)
B9,F9: 9.. / B9 = 9  =>  2 pairs (_) / F9 = 9  =>  0 pairs (_)
* DURATION: 0:00:12.240650  START: 12:34:49.162998  END: 12:35:01.403648 2020-11-09
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A3,H3: 3.. / A3 = 3 ==>  2 pairs (_) / H3 = 3 ==>  2 pairs (_)
B9,F9: 9.. / B9 = 9 ==>  0 pairs (*) / F9 = 9  =>  0 pairs (X)
* DURATION: 0:00:36.343213  START: 12:35:01.404272  END: 12:35:37.747485 2020-11-09
* REASONING B9,F9: 9..
* DIS # B9: 9 # D3: 1,2 => CTR => D3: 8
* DIS # B9: 9 + D3: 8 # I3: 1,2 => CTR => I3: 7
* PRF # B9: 9 + D3: 8 + I3: 7 # H8: 1,4 => SOL
* STA # B9: 9 + D3: 8 + I3: 7 + H8: 1,4
* CNT   3 HDP CHAINS /  18 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

2318656;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 A3,H3: 3..:

* INC # A3: 3 => UNS
* INC # H3: 3 # C1: 1,2 => UNS
* INC # H3: 3 # B2: 1,2 => UNS
* INC # H3: 3 # C2: 1,2 => UNS
* INC # H3: 3 # D3: 1,2 => UNS
* INC # H3: 3 # G3: 1,2 => UNS
* INC # H3: 3 # I3: 1,2 => UNS
* INC # H3: 3 # A8: 1,2 => UNS
* INC # H3: 3 # A9: 1,2 => UNS
* INC # H3: 3 # I1: 1,4 => UNS
* INC # H3: 3 # H2: 1,4 => UNS
* INC # H3: 3 # I2: 1,4 => UNS
* INC # H3: 3 # C1: 1,4 => UNS
* INC # H3: 3 # C1: 2,3 => UNS
* INC # H3: 3 # H4: 1,4 => UNS
* INC # H3: 3 # H8: 1,4 => UNS
* INC # H3: 3 # H9: 1,4 => UNS
* INC # H3: 3 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for B9,F9: 9..:

* INC # B9: 9 # C1: 1,2 => UNS
* INC # B9: 9 # B2: 1,2 => UNS
* INC # B9: 9 # C2: 1,2 => UNS
* DIS # B9: 9 # D3: 1,2 => CTR => D3: 8
* INC # B9: 9 + D3: 8 # G3: 1,2 => UNS
* DIS # B9: 9 + D3: 8 # I3: 1,2 => CTR => I3: 7
* INC # B9: 9 + D3: 8 + I3: 7 # A8: 1,2 => UNS
* INC # B9: 9 + D3: 8 + I3: 7 # A8: 4,6 => UNS
* INC # B9: 9 + D3: 8 + I3: 7 # C1: 1,2 => UNS
* INC # B9: 9 + D3: 8 + I3: 7 # B2: 1,2 => UNS
* INC # B9: 9 + D3: 8 + I3: 7 # C2: 1,2 => UNS
* INC # B9: 9 + D3: 8 + I3: 7 # A8: 1,2 => UNS
* INC # B9: 9 + D3: 8 + I3: 7 # A8: 4,6 => UNS
* INC # B9: 9 + D3: 8 + I3: 7 # I1: 1,4 => UNS
* INC # B9: 9 + D3: 8 + I3: 7 # I1: 2 => UNS
* INC # B9: 9 + D3: 8 + I3: 7 # H4: 1,4 => UNS
* PRF # B9: 9 + D3: 8 + I3: 7 # H8: 1,4 => SOL
* STA # B9: 9 + D3: 8 + I3: 7 + H8: 1,4
* CNT  17 HDP CHAINS /  18 HYP OPENED