Analysis of xx-ph-02487404-2019_08_05_a-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
- Deep Constraint Pair Analysis
- Very Deep Constraint Pair Analysis
Details
Appendix: Full HDP Chains
- A1. Deep Constraint Pair Analysis
- A2. Very Deep Constraint Pair Analysis

Original Sudoku

level: very deep

position: 98.7..6....7.95.4...4....7.7....3..4..5.6.3.....5.....2..3....6..6..7.3....6....1 initial

Autosolve

position: 98.7..6....7.95.4...4..6.7.7....3..4..5.6.3.7...57....2..3....6..6..7.3....6....1 autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for I1,I8: 5..:

* DIS # I8: 5 # G7: 8,9 => CTR => G7: 4,7
* CNT   1 HDP CHAINS /  39 HYP OPENED

List of important HDP chains detected for H1,I1: 5..:

* DIS # H1: 5 # G7: 8,9 => CTR => G7: 4,7
* CNT   1 HDP CHAINS /  39 HYP OPENED

List of important HDP chains detected for G3,I3: 9..:

* DIS # I3: 9 # G4: 2,8 => CTR => G4: 1,5,9
* CNT   1 HDP CHAINS /  19 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Very Deep Constraint Pair Analysis

Time used: 0:00:35.391609

List of important HDP chains detected for D5,D8: 4..:

* DIS # D8: 4 # B3: 1,5 # B2: 6 => CTR => B2: 2,3
* DIS # D8: 4 # B3: 1,5 + B2: 2,3 # I1: 2,3 => CTR => I1: 5
* DIS # D8: 4 # B3: 1,5 + B2: 2,3 + I1: 5 # A8: 8 => CTR => A8: 1,5
* DIS # D8: 4 # B3: 1,5 + B2: 2,3 + I1: 5 + A8: 1,5 # B8: 1,5 => CTR => B8: 9
* PRF # D8: 4 # B3: 1,5 + B2: 2,3 + I1: 5 + A8: 1,5 + B8: 9 => SOL
* STA # D8: 4 + B3: 1,5
* CNT   5 HDP CHAINS /  22 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Details

This sudoku is very deep. Here is some information that may be helpful on how to proceed.

Positions

`98.7..6....7.95.4...4....7.7....3..4..5.6.3.....5.....2..3....6..6..7.3....6....1`	initial
`98.7..6....7.95.4...4..6.7.7....3..4..5.6.3.7...57....2..3....6..6..7.3....6....1`	autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E1,E3: 3.. / E1 = 3  =>  3 pairs (_) / E3 = 3  =>  1 pairs (_)
E1,F1: 4.. / E1 = 4  =>  2 pairs (_) / F1 = 4  =>  1 pairs (_)
D5,D8: 4.. / D5 = 4  =>  1 pairs (_) / D8 = 4  =>  5 pairs (_)
A3,B3: 5.. / A3 = 5  =>  0 pairs (_) / B3 = 5  =>  1 pairs (_)
H1,I1: 5.. / H1 = 5  =>  2 pairs (_) / I1 = 5  =>  1 pairs (_)
G4,H4: 5.. / G4 = 5  =>  0 pairs (_) / H4 = 5  =>  3 pairs (_)
I1,I8: 5.. / I1 = 5  =>  1 pairs (_) / I8 = 5  =>  2 pairs (_)
A2,B2: 6.. / A2 = 6  =>  0 pairs (_) / B2 = 6  =>  1 pairs (_)
H4,H6: 6.. / H4 = 6  =>  0 pairs (_) / H6 = 6  =>  0 pairs (_)
B4,H4: 6.. / B4 = 6  =>  0 pairs (_) / H4 = 6  =>  0 pairs (_)
A2,A6: 6.. / A2 = 6  =>  0 pairs (_) / A6 = 6  =>  1 pairs (_)
B7,B9: 7.. / B7 = 7  =>  0 pairs (_) / B9 = 7  =>  0 pairs (_)
G7,G9: 7.. / G7 = 7  =>  0 pairs (_) / G9 = 7  =>  0 pairs (_)
B7,G7: 7.. / B7 = 7  =>  0 pairs (_) / G7 = 7  =>  0 pairs (_)
B9,G9: 7.. / B9 = 7  =>  0 pairs (_) / G9 = 7  =>  0 pairs (_)
G3,I3: 9.. / G3 = 9  =>  0 pairs (_) / I3 = 9  =>  1 pairs (_)
* DURATION: 0:00:11.189682  START: 14:54:07.680884  END: 14:54:18.870566 2020-11-14
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D5,D8: 4.. / D5 = 4 ==>  1 pairs (_) / D8 = 4 ==>  5 pairs (_)
E1,E3: 3.. / E1 = 3 ==>  3 pairs (_) / E3 = 3 ==>  1 pairs (_)
G4,H4: 5.. / G4 = 5 ==>  0 pairs (_) / H4 = 5 ==>  3 pairs (_)
I1,I8: 5.. / I1 = 5 ==>  1 pairs (_) / I8 = 5 ==>  3 pairs (_)
H1,I1: 5.. / H1 = 5 ==>  3 pairs (_) / I1 = 5 ==>  1 pairs (_)
E1,F1: 4.. / E1 = 4 ==>  2 pairs (_) / F1 = 4 ==>  1 pairs (_)
G3,I3: 9.. / G3 = 9 ==>  0 pairs (_) / I3 = 9 ==>  1 pairs (_)
A2,A6: 6.. / A2 = 6 ==>  0 pairs (_) / A6 = 6 ==>  1 pairs (_)
A2,B2: 6.. / A2 = 6 ==>  0 pairs (_) / B2 = 6 ==>  1 pairs (_)
A3,B3: 5.. / A3 = 5 ==>  0 pairs (_) / B3 = 5 ==>  1 pairs (_)
B9,G9: 7.. / B9 = 7 ==>  0 pairs (_) / G9 = 7 ==>  0 pairs (_)
B7,G7: 7.. / B7 = 7 ==>  0 pairs (_) / G7 = 7 ==>  0 pairs (_)
G7,G9: 7.. / G7 = 7 ==>  0 pairs (_) / G9 = 7 ==>  0 pairs (_)
B7,B9: 7.. / B7 = 7 ==>  0 pairs (_) / B9 = 7 ==>  0 pairs (_)
B4,H4: 6.. / B4 = 6 ==>  0 pairs (_) / H4 = 6 ==>  0 pairs (_)
H4,H6: 6.. / H4 = 6 ==>  0 pairs (_) / H6 = 6 ==>  0 pairs (_)
* DURATION: 0:01:48.519936  START: 14:54:18.871342  END: 14:56:07.391278 2020-11-14
* REASONING I1,I8: 5..
* DIS # I8: 5 # G7: 8,9 => CTR => G7: 4,7
* CNT   1 HDP CHAINS /  39 HYP OPENED
* REASONING H1,I1: 5..
* DIS # H1: 5 # G7: 8,9 => CTR => G7: 4,7
* CNT   1 HDP CHAINS /  39 HYP OPENED
* REASONING G3,I3: 9..
* DIS # I3: 9 # G4: 2,8 => CTR => G4: 1,5,9
* CNT   1 HDP CHAINS /  19 HYP OPENED
* DCP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
D5,D8: 4.. / D5 = 4  =>  0 pairs (X) / D8 = 4 ==>  0 pairs (*)
* DURATION: 0:00:35.388513  START: 14:56:07.574104  END: 14:56:42.962617 2020-11-14
* REASONING D5,D8: 4..
* DIS # D8: 4 # B3: 1,5 # B2: 6 => CTR => B2: 2,3
* DIS # D8: 4 # B3: 1,5 + B2: 2,3 # I1: 2,3 => CTR => I1: 5
* DIS # D8: 4 # B3: 1,5 + B2: 2,3 + I1: 5 # A8: 8 => CTR => A8: 1,5
* DIS # D8: 4 # B3: 1,5 + B2: 2,3 + I1: 5 + A8: 1,5 # B8: 1,5 => CTR => B8: 9
* PRF # D8: 4 # B3: 1,5 + B2: 2,3 + I1: 5 + A8: 1,5 + B8: 9 => SOL
* STA # D8: 4 + B3: 1,5
* CNT   5 HDP CHAINS /  22 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

2487404;2019_08_05_a;PAQ;25;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D5,D8: 4..:

* INC # D8: 4 # B3: 1,5 => UNS
* INC # D8: 4 # B3: 2 => UNS
* INC # D8: 4 # A8: 1,5 => UNS
* INC # D8: 4 # A8: 8 => UNS
* INC # D8: 4 # D2: 1,2 => UNS
* INC # D8: 4 # D3: 1,2 => UNS
* INC # D8: 4 # C1: 1,2 => UNS
* INC # D8: 4 # H1: 1,2 => UNS
* INC # D8: 4 # F5: 1,2 => UNS
* INC # D8: 4 # F6: 1,2 => UNS
* INC # D8: 4 # B9: 4,7 => UNS
* INC # D8: 4 # B9: 3,5,9 => UNS
* INC # D8: 4 # B9: 4,7 => UNS
* INC # D8: 4 # B9: 3,5,9 => UNS
* INC # D8: 4 => UNS
* INC # D5: 4 # C4: 1,8 => UNS
* INC # D5: 4 # A6: 1,8 => UNS
* INC # D5: 4 # C6: 1,8 => UNS
* INC # D5: 4 # F5: 1,8 => UNS
* INC # D5: 4 # H5: 1,8 => UNS
* INC # D5: 4 # A8: 1,8 => UNS
* INC # D5: 4 # A8: 4,5 => UNS
* INC # D5: 4 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for E1,E3: 3..:

* INC # E1: 3 # B2: 1,2 => UNS
* INC # E1: 3 # B3: 1,2 => UNS
* INC # E1: 3 # H1: 1,2 => UNS
* INC # E1: 3 # H1: 5 => UNS
* INC # E1: 3 # C4: 1,2 => UNS
* INC # E1: 3 # C6: 1,2 => UNS
* INC # E1: 3 # H1: 2,5 => UNS
* INC # E1: 3 # H1: 1 => UNS
* INC # E1: 3 # I8: 2,5 => UNS
* INC # E1: 3 # I8: 8,9 => UNS
* INC # E1: 3 # C4: 1,8 => UNS
* INC # E1: 3 # A6: 1,8 => UNS
* INC # E1: 3 # C6: 1,8 => UNS
* INC # E1: 3 # F5: 1,8 => UNS
* INC # E1: 3 # H5: 1,8 => UNS
* INC # E1: 3 # A8: 1,8 => UNS
* INC # E1: 3 # A8: 4,5 => UNS
* INC # E1: 3 => UNS
* INC # E3: 3 # B3: 1,5 => UNS
* INC # E3: 3 # B3: 2 => UNS
* INC # E3: 3 # A8: 1,5 => UNS
* INC # E3: 3 # A8: 4,8 => UNS
* INC # E3: 3 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for G4,H4: 5..:

* INC # H4: 5 # G2: 1,2 => UNS
* INC # H4: 5 # G3: 1,2 => UNS
* INC # H4: 5 # C1: 1,2 => UNS
* INC # H4: 5 # E1: 1,2 => UNS
* INC # H4: 5 # F1: 1,2 => UNS
* INC # H4: 5 # H5: 1,2 => UNS
* INC # H4: 5 # H5: 8,9 => UNS
* INC # H4: 5 # I8: 8,9 => UNS
* INC # H4: 5 # H9: 8,9 => UNS
* INC # H4: 5 # C7: 8,9 => UNS
* INC # H4: 5 # F7: 8,9 => UNS
* INC # H4: 5 # H5: 8,9 => UNS
* INC # H4: 5 # H5: 1,2 => UNS
* INC # H4: 5 # G7: 4,5 => UNS
* INC # H4: 5 # G9: 4,5 => UNS
* INC # H4: 5 # A8: 4,5 => UNS
* INC # H4: 5 # B8: 4,5 => UNS
* INC # H4: 5 # E8: 4,5 => UNS
* INC # H4: 5 => UNS
* INC # G4: 5 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for I1,I8: 5..:

* INC # I8: 5 # I2: 2,3 => UNS
* INC # I8: 5 # I3: 2,3 => UNS
* INC # I8: 5 # C1: 2,3 => UNS
* INC # I8: 5 # E1: 2,3 => UNS
* DIS # I8: 5 # G7: 8,9 => CTR => G7: 4,7
* INC # I8: 5 + G7: 4,7 # G8: 8,9 => UNS
* INC # I8: 5 + G7: 4,7 # G9: 8,9 => UNS
* INC # I8: 5 + G7: 4,7 # H9: 8,9 => UNS
* INC # I8: 5 + G7: 4,7 # C7: 8,9 => UNS
* INC # I8: 5 + G7: 4,7 # F7: 8,9 => UNS
* INC # I8: 5 + G7: 4,7 # H4: 8,9 => UNS
* INC # I8: 5 + G7: 4,7 # H5: 8,9 => UNS
* INC # I8: 5 + G7: 4,7 # H6: 8,9 => UNS
* INC # I8: 5 + G7: 4,7 # I2: 2,3 => UNS
* INC # I8: 5 + G7: 4,7 # I3: 2,3 => UNS
* INC # I8: 5 + G7: 4,7 # C1: 2,3 => UNS
* INC # I8: 5 + G7: 4,7 # E1: 2,3 => UNS
* INC # I8: 5 + G7: 4,7 # G9: 4,7 => UNS
* INC # I8: 5 + G7: 4,7 # G9: 2,8,9 => UNS
* INC # I8: 5 + G7: 4,7 # B7: 4,7 => UNS
* INC # I8: 5 + G7: 4,7 # B7: 1,5,9 => UNS
* INC # I8: 5 + G7: 4,7 # G8: 8,9 => UNS
* INC # I8: 5 + G7: 4,7 # G9: 8,9 => UNS
* INC # I8: 5 + G7: 4,7 # H9: 8,9 => UNS
* INC # I8: 5 + G7: 4,7 # C7: 8,9 => UNS
* INC # I8: 5 + G7: 4,7 # F7: 8,9 => UNS
* INC # I8: 5 + G7: 4,7 # H4: 8,9 => UNS
* INC # I8: 5 + G7: 4,7 # H5: 8,9 => UNS
* INC # I8: 5 + G7: 4,7 # H6: 8,9 => UNS
* INC # I8: 5 + G7: 4,7 => UNS
* INC # I1: 5 # G2: 1,2 => UNS
* INC # I1: 5 # G3: 1,2 => UNS
* INC # I1: 5 # C1: 1,2 => UNS
* INC # I1: 5 # E1: 1,2 => UNS
* INC # I1: 5 # F1: 1,2 => UNS
* INC # I1: 5 # H4: 1,2 => UNS
* INC # I1: 5 # H5: 1,2 => UNS
* INC # I1: 5 # H6: 1,2 => UNS
* INC # I1: 5 => UNS
* CNT  39 HDP CHAINS /  39 HYP OPENED

Full list of HDP chains traversed for H1,I1: 5..:

* INC # H1: 5 # I2: 2,3 => UNS
* INC # H1: 5 # I3: 2,3 => UNS
* INC # H1: 5 # C1: 2,3 => UNS
* INC # H1: 5 # E1: 2,3 => UNS
* DIS # H1: 5 # G7: 8,9 => CTR => G7: 4,7
* INC # H1: 5 + G7: 4,7 # G8: 8,9 => UNS
* INC # H1: 5 + G7: 4,7 # G9: 8,9 => UNS
* INC # H1: 5 + G7: 4,7 # H9: 8,9 => UNS
* INC # H1: 5 + G7: 4,7 # C7: 8,9 => UNS
* INC # H1: 5 + G7: 4,7 # F7: 8,9 => UNS
* INC # H1: 5 + G7: 4,7 # H4: 8,9 => UNS
* INC # H1: 5 + G7: 4,7 # H5: 8,9 => UNS
* INC # H1: 5 + G7: 4,7 # H6: 8,9 => UNS
* INC # H1: 5 + G7: 4,7 # I2: 2,3 => UNS
* INC # H1: 5 + G7: 4,7 # I3: 2,3 => UNS
* INC # H1: 5 + G7: 4,7 # C1: 2,3 => UNS
* INC # H1: 5 + G7: 4,7 # E1: 2,3 => UNS
* INC # H1: 5 + G7: 4,7 # G9: 4,7 => UNS
* INC # H1: 5 + G7: 4,7 # G9: 2,8,9 => UNS
* INC # H1: 5 + G7: 4,7 # B7: 4,7 => UNS
* INC # H1: 5 + G7: 4,7 # B7: 1,5,9 => UNS
* INC # H1: 5 + G7: 4,7 # G8: 8,9 => UNS
* INC # H1: 5 + G7: 4,7 # G9: 8,9 => UNS
* INC # H1: 5 + G7: 4,7 # H9: 8,9 => UNS
* INC # H1: 5 + G7: 4,7 # C7: 8,9 => UNS
* INC # H1: 5 + G7: 4,7 # F7: 8,9 => UNS
* INC # H1: 5 + G7: 4,7 # H4: 8,9 => UNS
* INC # H1: 5 + G7: 4,7 # H5: 8,9 => UNS
* INC # H1: 5 + G7: 4,7 # H6: 8,9 => UNS
* INC # H1: 5 + G7: 4,7 => UNS
* INC # I1: 5 # G2: 1,2 => UNS
* INC # I1: 5 # G3: 1,2 => UNS
* INC # I1: 5 # C1: 1,2 => UNS
* INC # I1: 5 # E1: 1,2 => UNS
* INC # I1: 5 # F1: 1,2 => UNS
* INC # I1: 5 # H4: 1,2 => UNS
* INC # I1: 5 # H5: 1,2 => UNS
* INC # I1: 5 # H6: 1,2 => UNS
* INC # I1: 5 => UNS
* CNT  39 HDP CHAINS /  39 HYP OPENED

Full list of HDP chains traversed for E1,F1: 4..:

* INC # E1: 4 # B3: 1,5 => UNS
* INC # E1: 4 # B3: 2 => UNS
* INC # E1: 4 # A8: 1,5 => UNS
* INC # E1: 4 # A8: 4,8 => UNS
* INC # E1: 4 # D2: 1,2 => UNS
* INC # E1: 4 # D3: 1,2 => UNS
* INC # E1: 4 # C1: 1,2 => UNS
* INC # E1: 4 # H1: 1,2 => UNS
* INC # E1: 4 # F5: 1,2 => UNS
* INC # E1: 4 # F6: 1,2 => UNS
* INC # E1: 4 => UNS
* INC # F1: 4 # C4: 1,8 => UNS
* INC # F1: 4 # A6: 1,8 => UNS
* INC # F1: 4 # C6: 1,8 => UNS
* INC # F1: 4 # F5: 1,8 => UNS
* INC # F1: 4 # H5: 1,8 => UNS
* INC # F1: 4 # A8: 1,8 => UNS
* INC # F1: 4 # A8: 4,5 => UNS
* INC # F1: 4 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for G3,I3: 9..:

* DIS # I3: 9 # G4: 2,8 => CTR => G4: 1,5,9
* INC # I3: 9 + G4: 1,5,9 # H4: 2,8 => UNS
* INC # I3: 9 + G4: 1,5,9 # H5: 2,8 => UNS
* INC # I3: 9 + G4: 1,5,9 # G6: 2,8 => UNS
* INC # I3: 9 + G4: 1,5,9 # H6: 2,8 => UNS
* INC # I3: 9 + G4: 1,5,9 # C6: 2,8 => UNS
* INC # I3: 9 + G4: 1,5,9 # F6: 2,8 => UNS
* INC # I3: 9 + G4: 1,5,9 # I2: 2,8 => UNS
* INC # I3: 9 + G4: 1,5,9 # I8: 2,8 => UNS
* INC # I3: 9 + G4: 1,5,9 # H4: 2,8 => UNS
* INC # I3: 9 + G4: 1,5,9 # H5: 2,8 => UNS
* INC # I3: 9 + G4: 1,5,9 # G6: 2,8 => UNS
* INC # I3: 9 + G4: 1,5,9 # H6: 2,8 => UNS
* INC # I3: 9 + G4: 1,5,9 # C6: 2,8 => UNS
* INC # I3: 9 + G4: 1,5,9 # F6: 2,8 => UNS
* INC # I3: 9 + G4: 1,5,9 # I2: 2,8 => UNS
* INC # I3: 9 + G4: 1,5,9 # I8: 2,8 => UNS
* INC # I3: 9 + G4: 1,5,9 => UNS
* INC # G3: 9 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for A2,A6: 6..:

* INC # A6: 6 # C1: 1,3 => UNS
* INC # A6: 6 # A3: 1,3 => UNS
* INC # A6: 6 # B3: 1,3 => UNS
* INC # A6: 6 => UNS
* INC # A2: 6 => UNS
* CNT   5 HDP CHAINS /   5 HYP OPENED

Full list of HDP chains traversed for A2,B2: 6..:

* INC # B2: 6 # C1: 1,3 => UNS
* INC # B2: 6 # A3: 1,3 => UNS
* INC # B2: 6 # B3: 1,3 => UNS
* INC # B2: 6 => UNS
* INC # A2: 6 => UNS
* CNT   5 HDP CHAINS /   5 HYP OPENED

Full list of HDP chains traversed for A3,B3: 5..:

* INC # B3: 5 # C1: 1,3 => UNS
* INC # B3: 5 # A2: 1,3 => UNS
* INC # B3: 5 # B2: 1,3 => UNS
* INC # B3: 5 # E3: 1,3 => UNS
* INC # B3: 5 # E3: 2,8 => UNS
* INC # B3: 5 # A6: 1,3 => UNS
* INC # B3: 5 # A6: 4,6,8 => UNS
* INC # B3: 5 => UNS
* INC # A3: 5 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for B9,G9: 7..:

* INC # B9: 7 => UNS
* INC # G9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B7,G7: 7..:

* INC # B7: 7 => UNS
* INC # G7: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for G7,G9: 7..:

* INC # G7: 7 => UNS
* INC # G9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B7,B9: 7..:

* INC # B7: 7 => UNS
* INC # B9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B4,H4: 6..:

* INC # B4: 6 => UNS
* INC # H4: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for H4,H6: 6..:

* INC # H4: 6 => UNS
* INC # H6: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for D5,D8: 4..:

* INC # D8: 4 # B3: 1,5 => UNS
* INC # D8: 4 # B3: 2 => UNS
* INC # D8: 4 # A8: 1,5 => UNS
* INC # D8: 4 # A8: 8 => UNS
* INC # D8: 4 # D2: 1,2 => UNS
* INC # D8: 4 # D3: 1,2 => UNS
* INC # D8: 4 # C1: 1,2 => UNS
* INC # D8: 4 # H1: 1,2 => UNS
* INC # D8: 4 # F5: 1,2 => UNS
* INC # D8: 4 # F6: 1,2 => UNS
* INC # D8: 4 # B9: 4,7 => UNS
* INC # D8: 4 # B9: 3,5,9 => UNS
* INC # D8: 4 # B9: 4,7 => UNS
* INC # D8: 4 # B9: 3,5,9 => UNS
* INC # D8: 4 # B3: 1,5 # B2: 2,3 => UNS
* DIS # D8: 4 # B3: 1,5 # B2: 6 => CTR => B2: 2,3
* DIS # D8: 4 # B3: 1,5 + B2: 2,3 # I1: 2,3 => CTR => I1: 5
* INC # D8: 4 # B3: 1,5 + B2: 2,3 + I1: 5 # A8: 1,5 => UNS
* DIS # D8: 4 # B3: 1,5 + B2: 2,3 + I1: 5 # A8: 8 => CTR => A8: 1,5
* DIS # D8: 4 # B3: 1,5 + B2: 2,3 + I1: 5 + A8: 1,5 # B8: 1,5 => CTR => B8: 9
* PRF # D8: 4 # B3: 1,5 + B2: 2,3 + I1: 5 + A8: 1,5 + B8: 9 => SOL
* STA # D8: 4 + B3: 1,5
* CNT  21 HDP CHAINS /  22 HYP OPENED