Analysis of xx-ph-02487968-2019_08_05_a-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7...9..5..453..7...3.6..4....7.3...2.....1.....8.6.3.....8...47.....3... initial

Autosolve

position: 98.7..6..7...9..5..453..7...3.6..4....7.3...2.....1.....8.6.3..3..8...47.....3... autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for I1,I2: 4..:

* PRF # I1: 4 # F7: 2,5 => SOL
* STA # I1: 4 + F7: 2,5
* CNT   1 HDP CHAINS /  25 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...9..5..453..7...3.6..4....7.3...2.....1.....8.6.3.....8...47.....3... initial
98.7..6..7...9..5..453..7...3.6..4....7.3...2.....1.....8.6.3..3..8...47.....3... autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C1,C2: 3.. / C1 = 3  =>  2 pairs (_) / C2 = 3  =>  1 pairs (_)
H6,I6: 3.. / H6 = 3  =>  3 pairs (_) / I6 = 3  =>  2 pairs (_)
C2,I2: 3.. / C2 = 3  =>  1 pairs (_) / I2 = 3  =>  2 pairs (_)
H1,H6: 3.. / H1 = 3  =>  2 pairs (_) / H6 = 3  =>  3 pairs (_)
I1,I2: 4.. / I1 = 4  =>  1 pairs (_) / I2 = 4  =>  5 pairs (_)
C6,C9: 4.. / C6 = 4  =>  0 pairs (_) / C9 = 4  =>  0 pairs (_)
E1,F1: 5.. / E1 = 5  =>  2 pairs (_) / F1 = 5  =>  1 pairs (_)
F2,F3: 6.. / F2 = 6  =>  3 pairs (_) / F3 = 6  =>  1 pairs (_)
B8,C8: 6.. / B8 = 6  =>  1 pairs (_) / C8 = 6  =>  0 pairs (_)
H9,I9: 6.. / H9 = 6  =>  3 pairs (_) / I9 = 6  =>  0 pairs (_)
A3,F3: 6.. / A3 = 6  =>  3 pairs (_) / F3 = 6  =>  1 pairs (_)
I6,I9: 6.. / I6 = 6  =>  3 pairs (_) / I9 = 6  =>  0 pairs (_)
H4,H6: 7.. / H4 = 7  =>  0 pairs (_) / H6 = 7  =>  2 pairs (_)
B7,B9: 7.. / B7 = 7  =>  2 pairs (_) / B9 = 7  =>  0 pairs (_)
F7,E9: 7.. / F7 = 7  =>  0 pairs (_) / E9 = 7  =>  2 pairs (_)
E6,H6: 7.. / E6 = 7  =>  0 pairs (_) / H6 = 7  =>  2 pairs (_)
B7,F7: 7.. / B7 = 7  =>  2 pairs (_) / F7 = 7  =>  0 pairs (_)
B9,E9: 7.. / B9 = 7  =>  0 pairs (_) / E9 = 7  =>  2 pairs (_)
F4,F7: 7.. / F4 = 7  =>  2 pairs (_) / F7 = 7  =>  0 pairs (_)
H3,I3: 9.. / H3 = 9  =>  2 pairs (_) / I3 = 9  =>  1 pairs (_)
* DURATION: 0:00:14.071718  START: 11:32:54.501236  END: 11:33:08.572954 2020-10-25
* CP COUNT: (20)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I1,I2: 4.. / I1 = 4 ==>  0 pairs (*) / I2 = 4 ==>  5 pairs (_)
* DURATION: 0:00:26.662253  START: 11:33:08.573582  END: 11:33:35.235835 2020-10-25
* REASONING I1,I2: 4..
* PRF # I1: 4 # F7: 2,5 => SOL
* STA # I1: 4 + F7: 2,5
* CNT   1 HDP CHAINS /  25 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

2487968;2019_08_05_a;PAQ;25;11.40;1.50;1.50

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I1,I2: 4..:

* INC # I2: 4 # B2: 1,2 => UNS
* INC # I2: 4 # A3: 1,2 => UNS
* INC # I2: 4 # H1: 1,2 => UNS
* INC # I2: 4 # H1: 3 => UNS
* INC # I2: 4 # C4: 1,2 => UNS
* INC # I2: 4 # C8: 1,2 => UNS
* INC # I2: 4 # C9: 1,2 => UNS
* INC # I2: 4 # E6: 4,5 => UNS
* INC # I2: 4 # E9: 4,5 => UNS
* INC # I2: 4 # F5: 4,5 => UNS
* INC # I2: 4 # F7: 4,5 => UNS
* INC # I2: 4 # E3: 1,2 => UNS
* INC # I2: 4 # E3: 8 => UNS
* INC # I2: 4 # B2: 1,2 => UNS
* INC # I2: 4 # G2: 1,2 => UNS
* INC # I2: 4 # D7: 1,2 => UNS
* INC # I2: 4 # D9: 1,2 => UNS
* INC # I2: 4 # H1: 1,3 => UNS
* INC # I2: 4 # H1: 2 => UNS
* INC # I2: 4 => UNS
* INC # I1: 4 # E1: 2,5 => UNS
* INC # I1: 4 # E1: 1 => UNS
* INC # I1: 4 # F4: 2,5 => UNS
* PRF # I1: 4 # F7: 2,5 => SOL
* STA # I1: 4 + F7: 2,5
* CNT  24 HDP CHAINS /  25 HYP OPENED