Analysis of xx-ph-01747956-2015_12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..5..89......7..4.9.3.......2.5...31....84...3..1...72....3.4..7.........6 initial

Autosolve

position: 98.7..6..5..89......7..4.9.3.......2.5...31....84...3..1...72....3.4..7.........6 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

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 G2,I2: 7..:

* DIS # G2: 7 # G4: 5,9 => CTR => G4: 4,8
* CNT   1 HDP CHAINS /  33 HYP OPENED

List of important HDP chains detected for A3,A6: 1..:

* PRF # A3: 1 # B2: 2,4 => SOL
* STA # A3: 1 + B2: 2,4
* CNT   1 HDP CHAINS /   2 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..5..89......7..4.9.3.......2.5...31....84...3..1...72....3.4..7.........6 initial
98.7..6..5..89......7..4.9.3.......2.5...31....84...3..1...72....3.4..7.........6 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C4,A6: 1.. / C4 = 1  =>  1 pairs (_) / A6 = 1  =>  1 pairs (_)
I8,H9: 1.. / I8 = 1  =>  2 pairs (_) / H9 = 1  =>  1 pairs (_)
A3,A6: 1.. / A3 = 1  =>  1 pairs (_) / A6 = 1  =>  1 pairs (_)
H1,H2: 2.. / H1 = 2  =>  3 pairs (_) / H2 = 2  =>  1 pairs (_)
B2,B3: 3.. / B2 = 3  =>  2 pairs (_) / B3 = 3  =>  3 pairs (_)
I7,G9: 3.. / I7 = 3  =>  0 pairs (_) / G9 = 3  =>  2 pairs (_)
E1,I1: 3.. / E1 = 3  =>  0 pairs (_) / I1 = 3  =>  3 pairs (_)
C7,C9: 5.. / C7 = 5  =>  1 pairs (_) / C9 = 5  =>  0 pairs (_)
H4,H5: 6.. / H4 = 6  =>  1 pairs (_) / H5 = 6  =>  1 pairs (_)
G2,I2: 7.. / G2 = 7  =>  1 pairs (_) / I2 = 7  =>  2 pairs (_)
A9,B9: 7.. / A9 = 7  =>  0 pairs (_) / B9 = 7  =>  0 pairs (_)
G3,I3: 8.. / G3 = 8  =>  1 pairs (_) / I3 = 8  =>  1 pairs (_)
* DURATION: 0:00:07.290696  START: 06:50:03.029420  END: 06:50:10.320116 2020-10-06
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B2,B3: 3.. / B2 = 3 ==>  2 pairs (_) / B3 = 3 ==>  3 pairs (_)
H1,H2: 2.. / H1 = 2 ==>  3 pairs (_) / H2 = 2 ==>  1 pairs (_)
E1,I1: 3.. / E1 = 3 ==>  0 pairs (_) / I1 = 3 ==>  3 pairs (_)
G2,I2: 7.. / G2 = 7 ==>  2 pairs (_) / I2 = 7 ==>  2 pairs (_)
I8,H9: 1.. / I8 = 1 ==>  2 pairs (_) / H9 = 1 ==>  1 pairs (_)
I7,G9: 3.. / I7 = 3 ==>  0 pairs (_) / G9 = 3 ==>  2 pairs (_)
G3,I3: 8.. / G3 = 8 ==>  1 pairs (_) / I3 = 8 ==>  1 pairs (_)
H4,H5: 6.. / H4 = 6 ==>  1 pairs (_) / H5 = 6 ==>  1 pairs (_)
A3,A6: 1.. / A3 = 1 ==>  0 pairs (*) / A6 = 1  =>  0 pairs (X)
* DURATION: 0:01:07.922186  START: 06:50:10.320707  END: 06:51:18.242893 2020-10-06
* REASONING G2,I2: 7..
* DIS # G2: 7 # G4: 5,9 => CTR => G4: 4,8
* CNT   1 HDP CHAINS /  33 HYP OPENED
* REASONING A3,A6: 1..
* PRF # A3: 1 # B2: 2,4 => SOL
* STA # A3: 1 + B2: 2,4
* CNT   1 HDP CHAINS /   2 HYP OPENED
* DCP COUNT: (9)
* SOLUTION FOUND

Header Info

1747956;2015_12;GP;25;11.50;11.50;6.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B2,B3: 3..:

* INC # B3: 3 # I3: 5,8 => UNS
* INC # B3: 3 # I3: 1 => UNS
* INC # B3: 3 # G4: 5,8 => UNS
* INC # B3: 3 # G8: 5,8 => UNS
* INC # B3: 3 # G9: 5,8 => UNS
* INC # B3: 3 => UNS
* INC # B2: 3 # C2: 2,6 => UNS
* INC # B2: 3 # A3: 2,6 => UNS
* INC # B2: 3 # D3: 2,6 => UNS
* INC # B2: 3 # E3: 2,6 => UNS
* INC # B2: 3 # B6: 2,6 => UNS
* INC # B2: 3 # B8: 2,6 => UNS
* INC # B2: 3 # I2: 4,7 => UNS
* INC # B2: 3 # I2: 1 => UNS
* INC # B2: 3 # G4: 4,7 => UNS
* INC # B2: 3 # G4: 5,8,9 => UNS
* INC # B2: 3 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for H1,H2: 2..:

* INC # H1: 2 # C2: 1,4 => UNS
* INC # H1: 2 # C2: 2,6 => UNS
* INC # H1: 2 # I1: 1,4 => UNS
* INC # H1: 2 # I1: 3,5 => UNS
* INC # H1: 2 # C4: 1,4 => UNS
* INC # H1: 2 # C4: 6,9 => UNS
* INC # H1: 2 # E1: 1,5 => UNS
* INC # H1: 2 # D3: 1,5 => UNS
* INC # H1: 2 # E3: 1,5 => UNS
* INC # H1: 2 # I1: 1,5 => UNS
* INC # H1: 2 # I1: 3,4 => UNS
* INC # H1: 2 # F4: 1,5 => UNS
* INC # H1: 2 # F6: 1,5 => UNS
* INC # H1: 2 # F8: 1,5 => UNS
* INC # H1: 2 # F9: 1,5 => UNS
* INC # H1: 2 # I1: 1,4 => UNS
* INC # H1: 2 # I2: 1,4 => UNS
* INC # H1: 2 # C2: 1,4 => UNS
* INC # H1: 2 # C2: 2,6 => UNS
* INC # H1: 2 # H9: 1,4 => UNS
* INC # H1: 2 # H9: 5,8 => UNS
* INC # H1: 2 => UNS
* INC # H2: 2 # D3: 1,6 => UNS
* INC # H2: 2 # E3: 1,6 => UNS
* INC # H2: 2 # C2: 1,6 => UNS
* INC # H2: 2 # C2: 4 => UNS
* INC # H2: 2 # F4: 1,6 => UNS
* INC # H2: 2 # F6: 1,6 => UNS
* INC # H2: 2 # F8: 1,6 => UNS
* INC # H2: 2 => UNS
* CNT  30 HDP CHAINS /  30 HYP OPENED

Full list of HDP chains traversed for E1,I1: 3..:

* INC # I1: 3 # C2: 2,6 => UNS
* INC # I1: 3 # A3: 2,6 => UNS
* INC # I1: 3 # D3: 2,6 => UNS
* INC # I1: 3 # E3: 2,6 => UNS
* INC # I1: 3 # B6: 2,6 => UNS
* INC # I1: 3 # B8: 2,6 => UNS
* INC # I1: 3 # I2: 4,7 => UNS
* INC # I1: 3 # I2: 1 => UNS
* INC # I1: 3 # G4: 4,7 => UNS
* INC # I1: 3 # G4: 5,8,9 => UNS
* INC # I1: 3 # I3: 5,8 => UNS
* INC # I1: 3 # I3: 1 => UNS
* INC # I1: 3 # G4: 5,8 => UNS
* INC # I1: 3 # G8: 5,8 => UNS
* INC # I1: 3 => UNS
* INC # E1: 3 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for G2,I2: 7..:

* INC # I2: 7 # I1: 3,4 => UNS
* INC # I2: 7 # I1: 1,5 => UNS
* INC # I2: 7 # B2: 3,4 => UNS
* INC # I2: 7 # B2: 2,6 => UNS
* INC # I2: 7 # G9: 3,4 => UNS
* INC # I2: 7 # G9: 5,8,9 => UNS
* INC # I2: 7 # G4: 5,9 => UNS
* INC # I2: 7 # G6: 5,9 => UNS
* INC # I2: 7 # F6: 5,9 => UNS
* INC # I2: 7 # F6: 1,2,6 => UNS
* INC # I2: 7 # I7: 5,9 => UNS
* INC # I2: 7 # I8: 5,9 => UNS
* INC # I2: 7 => UNS
* DIS # G2: 7 # G4: 5,9 => CTR => G4: 4,8
* INC # G2: 7 + G4: 4,8 # I6: 5,9 => UNS
* INC # G2: 7 + G4: 4,8 # I6: 5,9 => UNS
* INC # G2: 7 + G4: 4,8 # I6: 7 => UNS
* INC # G2: 7 + G4: 4,8 # F6: 5,9 => UNS
* INC # G2: 7 + G4: 4,8 # F6: 1,2,6 => UNS
* INC # G2: 7 + G4: 4,8 # G8: 5,9 => UNS
* INC # G2: 7 + G4: 4,8 # G9: 5,9 => UNS
* INC # G2: 7 + G4: 4,8 # H4: 4,8 => UNS
* INC # G2: 7 + G4: 4,8 # H5: 4,8 => UNS
* INC # G2: 7 + G4: 4,8 # I5: 4,8 => UNS
* INC # G2: 7 + G4: 4,8 # G9: 4,8 => UNS
* INC # G2: 7 + G4: 4,8 # G9: 3,5,9 => UNS
* INC # G2: 7 + G4: 4,8 # I6: 5,9 => UNS
* INC # G2: 7 + G4: 4,8 # I6: 7 => UNS
* INC # G2: 7 + G4: 4,8 # F6: 5,9 => UNS
* INC # G2: 7 + G4: 4,8 # F6: 1,2,6 => UNS
* INC # G2: 7 + G4: 4,8 # G8: 5,9 => UNS
* INC # G2: 7 + G4: 4,8 # G9: 5,9 => UNS
* INC # G2: 7 + G4: 4,8 => UNS
* CNT  33 HDP CHAINS /  33 HYP OPENED

Full list of HDP chains traversed for I8,H9: 1..:

* INC # I8: 1 # C1: 1,2 => UNS
* INC # I8: 1 # E1: 1,2 => UNS
* INC # I8: 1 # F1: 1,2 => UNS
* INC # I8: 1 # C2: 1,2 => UNS
* INC # I8: 1 # F2: 1,2 => UNS
* INC # I8: 1 => UNS
* INC # H9: 1 # H1: 2,4 => UNS
* INC # H9: 1 # H1: 5 => UNS
* INC # H9: 1 # B2: 2,4 => UNS
* INC # H9: 1 # C2: 2,4 => UNS
* INC # H9: 1 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for I7,G9: 3..:

* INC # G9: 3 # I2: 4,7 => UNS
* INC # G9: 3 # I2: 1,3 => UNS
* INC # G9: 3 # G4: 4,7 => UNS
* INC # G9: 3 # G4: 5,8,9 => UNS
* INC # G9: 3 # I3: 5,8 => UNS
* INC # G9: 3 # I3: 1,3 => UNS
* INC # G9: 3 # G4: 5,8 => UNS
* INC # G9: 3 # G8: 5,8 => UNS
* INC # G9: 3 => UNS
* INC # I7: 3 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for G3,I3: 8..:

* INC # G3: 8 # I7: 5,9 => UNS
* INC # G3: 8 # I8: 5,9 => UNS
* INC # G3: 8 # G9: 5,9 => UNS
* INC # G3: 8 # D8: 5,9 => UNS
* INC # G3: 8 # F8: 5,9 => UNS
* INC # G3: 8 # G4: 5,9 => UNS
* INC # G3: 8 # G6: 5,9 => UNS
* INC # G3: 8 => UNS
* INC # I3: 8 # I1: 3,5 => UNS
* INC # I3: 8 # I1: 1,4 => UNS
* INC # I3: 8 # D3: 3,5 => UNS
* INC # I3: 8 # E3: 3,5 => UNS
* INC # I3: 8 # G9: 3,5 => UNS
* INC # I3: 8 # G9: 4,8,9 => UNS
* INC # I3: 8 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for H4,H5: 6..:

* INC # H4: 6 # G4: 4,8 => UNS
* INC # H4: 6 # I5: 4,8 => UNS
* INC # H4: 6 # H7: 4,8 => UNS
* INC # H4: 6 # H9: 4,8 => UNS
* INC # H4: 6 => UNS
* INC # H5: 6 # F6: 2,9 => UNS
* INC # H5: 6 # F6: 1,5,6 => UNS
* INC # H5: 6 # C5: 2,9 => UNS
* INC # H5: 6 # C5: 4 => UNS
* INC # H5: 6 # D8: 2,9 => UNS
* INC # H5: 6 # D9: 2,9 => UNS
* INC # H5: 6 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for A3,A6: 1..:

* PRF # A3: 1 # B2: 2,4 => SOL
* STA # A3: 1 + B2: 2,4
* CNT   1 HDP CHAINS /   2 HYP OPENED