Analysis of xx-ph-00027879-2011_12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6.....97...7.....54...3......94...8......24.1.9..1...3..65...9......42.. initial

Autosolve

position: 98.7.....6.....97...7..9..54...3...9..94...8......24.1.9..1...3..65...9......42.. 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

Time used: 0:00:00.000006

List of important HDP chains detected for H4,I5: 2..:

* DIS # I5: 2 # H1: 4,6 => CTR => H1: 1,2,3
* DIS # I5: 2 + H1: 1,2,3 # H6: 5,6 => CTR => H6: 3
* DIS # I5: 2 + H1: 1,2,3 + H6: 3 # H7: 5,6 => CTR => H7: 4
* DIS # I5: 2 + H1: 1,2,3 + H6: 3 + H7: 4 # H9: 5,6 => CTR => H9: 1
* DIS # I5: 2 + H1: 1,2,3 + H6: 3 + H7: 4 + H9: 1 => CTR => I5: 6,7
* STA I5: 6,7
* CNT   5 HDP CHAINS /  19 HYP OPENED

List of important HDP chains detected for B8,I8: 4..:

* DIS # I8: 4 # H1: 2,6 => CTR => H1: 1,3,4
* DIS # I8: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => I8: 7,8
* STA I8: 7,8
* CNT   5 HDP CHAINS /  18 HYP OPENED

List of important HDP chains detected for C7,H7: 4..:

* DIS # C7: 4 # H1: 2,6 => CTR => H1: 1,3,4
* DIS # C7: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => C7: 2,5,8
* STA C7: 2,5,8
* CNT   5 HDP CHAINS /  18 HYP OPENED

List of important HDP chains detected for H7,I8: 4..:

* DIS # I8: 4 # H1: 2,6 => CTR => H1: 1,3,4
* DIS # I8: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => I8: 7,8
* STA I8: 7,8
* CNT   5 HDP CHAINS /  18 HYP OPENED

List of important HDP chains detected for C7,B8: 4..:

* DIS # C7: 4 # H1: 2,6 => CTR => H1: 1,3,4
* DIS # C7: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => C7: 2,5,8
* STA C7: 2,5,8
* CNT   5 HDP CHAINS /  18 HYP OPENED

List of important HDP chains detected for I2,G3: 8..:

* DIS # G3: 8 # B8: 1,7 => CTR => B8: 2,3,4
* CNT   1 HDP CHAINS /  30 HYP OPENED

List of important HDP chains detected for G5,H6: 3..:

* DIS # G5: 3 # H1: 1,6 => CTR => H1: 2,3,4
* DIS # G5: 3 + H1: 2,3,4 # H4: 5,6 => CTR => H4: 2
* DIS # G5: 3 + H1: 2,3,4 + H4: 2 # H7: 5,6 => CTR => H7: 4
* PRF # G5: 3 + H1: 2,3,4 + H4: 2 + H7: 4 # H9: 5,6 => SOL
* STA # G5: 3 + H1: 2,3,4 + H4: 2 + H7: 4 + H9: 5,6
* CNT   4 HDP CHAINS /  14 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.....97...7.....54...3......94...8......24.1.9..1...3..65...9......42.. initial
98.7.....6.....97...7..9..54...3...9..94...8......24.1.9..1...3..65...9......42.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G8,H9: 1.. / G8 = 1  =>  2 pairs (_) / H9 = 1  =>  1 pairs (_)
H4,I5: 2.. / H4 = 2  =>  1 pairs (_) / I5 = 2  =>  4 pairs (_)
D7,E8: 2.. / D7 = 2  =>  1 pairs (_) / E8 = 2  =>  1 pairs (_)
G5,H6: 3.. / G5 = 3  =>  2 pairs (_) / H6 = 3  =>  1 pairs (_)
F8,D9: 3.. / F8 = 3  =>  0 pairs (_) / D9 = 3  =>  2 pairs (_)
C7,B8: 4.. / C7 = 4  =>  3 pairs (_) / B8 = 4  =>  1 pairs (_)
H7,I8: 4.. / H7 = 4  =>  1 pairs (_) / I8 = 4  =>  3 pairs (_)
C7,H7: 4.. / C7 = 4  =>  3 pairs (_) / H7 = 4  =>  1 pairs (_)
B8,I8: 4.. / B8 = 4  =>  1 pairs (_) / I8 = 4  =>  3 pairs (_)
I2,G3: 8.. / I2 = 8  =>  2 pairs (_) / G3 = 8  =>  2 pairs (_)
D6,E6: 9.. / D6 = 9  =>  0 pairs (_) / E6 = 9  =>  1 pairs (_)
D9,E9: 9.. / D9 = 9  =>  1 pairs (_) / E9 = 9  =>  0 pairs (_)
D6,D9: 9.. / D6 = 9  =>  0 pairs (_) / D9 = 9  =>  1 pairs (_)
E6,E9: 9.. / E6 = 9  =>  1 pairs (_) / E9 = 9  =>  0 pairs (_)
* DURATION: 0:00:08.835142  START: 17:00:18.015510  END: 17:00:26.850652 2020-12-09
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H4,I5: 2.. / H4 = 2  =>  1 pairs (_) / I5 = 2 ==>  0 pairs (X)
B8,I8: 4.. / B8 = 4  =>  1 pairs (_) / I8 = 4 ==>  0 pairs (X)
C7,H7: 4.. / C7 = 4 ==>  0 pairs (X) / H7 = 4  =>  1 pairs (_)
H7,I8: 4.. / H7 = 4  =>  1 pairs (_) / I8 = 4 ==>  0 pairs (X)
C7,B8: 4.. / C7 = 4 ==>  0 pairs (X) / B8 = 4  =>  1 pairs (_)
I2,G3: 8.. / I2 = 8 ==>  2 pairs (_) / G3 = 8 ==>  2 pairs (_)
G5,H6: 3.. / G5 = 3 ==>  0 pairs (*) / H6 = 3  =>  0 pairs (X)
* DURATION: 0:01:12.936797  START: 17:00:26.851237  END: 17:01:39.788034 2020-12-09
* REASONING H4,I5: 2..
* DIS # I5: 2 # H1: 4,6 => CTR => H1: 1,2,3
* DIS # I5: 2 + H1: 1,2,3 # H6: 5,6 => CTR => H6: 3
* DIS # I5: 2 + H1: 1,2,3 + H6: 3 # H7: 5,6 => CTR => H7: 4
* DIS # I5: 2 + H1: 1,2,3 + H6: 3 + H7: 4 # H9: 5,6 => CTR => H9: 1
* DIS # I5: 2 + H1: 1,2,3 + H6: 3 + H7: 4 + H9: 1 => CTR => I5: 6,7
* STA I5: 6,7
* CNT   5 HDP CHAINS /  19 HYP OPENED
* REASONING B8,I8: 4..
* DIS # I8: 4 # H1: 2,6 => CTR => H1: 1,3,4
* DIS # I8: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => I8: 7,8
* STA I8: 7,8
* CNT   5 HDP CHAINS /  18 HYP OPENED
* REASONING C7,H7: 4..
* DIS # C7: 4 # H1: 2,6 => CTR => H1: 1,3,4
* DIS # C7: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => C7: 2,5,8
* STA C7: 2,5,8
* CNT   5 HDP CHAINS /  18 HYP OPENED
* REASONING H7,I8: 4..
* DIS # I8: 4 # H1: 2,6 => CTR => H1: 1,3,4
* DIS # I8: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => I8: 7,8
* STA I8: 7,8
* CNT   5 HDP CHAINS /  18 HYP OPENED
* REASONING C7,B8: 4..
* DIS # C7: 4 # H1: 2,6 => CTR => H1: 1,3,4
* DIS # C7: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => C7: 2,5,8
* STA C7: 2,5,8
* CNT   5 HDP CHAINS /  18 HYP OPENED
* REASONING I2,G3: 8..
* DIS # G3: 8 # B8: 1,7 => CTR => B8: 2,3,4
* CNT   1 HDP CHAINS /  30 HYP OPENED
* REASONING G5,H6: 3..
* DIS # G5: 3 # H1: 1,6 => CTR => H1: 2,3,4
* DIS # G5: 3 + H1: 2,3,4 # H4: 5,6 => CTR => H4: 2
* DIS # G5: 3 + H1: 2,3,4 + H4: 2 # H7: 5,6 => CTR => H7: 4
* PRF # G5: 3 + H1: 2,3,4 + H4: 2 + H7: 4 # H9: 5,6 => SOL
* STA # G5: 3 + H1: 2,3,4 + H4: 2 + H7: 4 + H9: 5,6
* CNT   4 HDP CHAINS /  14 HYP OPENED
* DCP COUNT: (7)
* SOLUTION FOUND

Header Info

27879;2011_12;GP;24;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H4,I5: 2..:

* DIS # I5: 2 # H1: 4,6 => CTR => H1: 1,2,3
* INC # I5: 2 + H1: 1,2,3 # H3: 4,6 => UNS
* INC # I5: 2 + H1: 1,2,3 # H3: 4,6 => UNS
* INC # I5: 2 + H1: 1,2,3 # H3: 1,2,3 => UNS
* INC # I5: 2 + H1: 1,2,3 # E1: 4,6 => UNS
* INC # I5: 2 + H1: 1,2,3 # E1: 2,5 => UNS
* INC # I5: 2 + H1: 1,2,3 # E2: 4,8 => UNS
* INC # I5: 2 + H1: 1,2,3 # E2: 2,5 => UNS
* INC # I5: 2 + H1: 1,2,3 # I8: 4,8 => UNS
* INC # I5: 2 + H1: 1,2,3 # I8: 7 => UNS
* INC # I5: 2 + H1: 1,2,3 # G4: 5,6 => UNS
* INC # I5: 2 + H1: 1,2,3 # G5: 5,6 => UNS
* DIS # I5: 2 + H1: 1,2,3 # H6: 5,6 => CTR => H6: 3
* INC # I5: 2 + H1: 1,2,3 + H6: 3 # B4: 5,6 => UNS
* INC # I5: 2 + H1: 1,2,3 + H6: 3 # F4: 5,6 => UNS
* DIS # I5: 2 + H1: 1,2,3 + H6: 3 # H7: 5,6 => CTR => H7: 4
* DIS # I5: 2 + H1: 1,2,3 + H6: 3 + H7: 4 # H9: 5,6 => CTR => H9: 1
* DIS # I5: 2 + H1: 1,2,3 + H6: 3 + H7: 4 + H9: 1 => CTR => I5: 6,7
* INC I5: 6,7 # H4: 2 => UNS
* STA I5: 6,7
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for B8,I8: 4..:

* DIS # I8: 4 # H1: 2,6 => CTR => H1: 1,3,4
* INC # I8: 4 + H1: 1,3,4 # H3: 2,6 => UNS
* INC # I8: 4 + H1: 1,3,4 # H3: 2,6 => UNS
* INC # I8: 4 + H1: 1,3,4 # H3: 1,3,4 => UNS
* INC # I8: 4 + H1: 1,3,4 # E1: 2,6 => UNS
* INC # I8: 4 + H1: 1,3,4 # E1: 4,5 => UNS
* INC # I8: 4 + H1: 1,3,4 # I5: 2,6 => UNS
* INC # I8: 4 + H1: 1,3,4 # I5: 7 => UNS
* INC # I8: 4 + H1: 1,3,4 # D2: 2,8 => UNS
* INC # I8: 4 + H1: 1,3,4 # E2: 2,8 => UNS
* INC # I8: 4 + H1: 1,3,4 # G7: 5,6 => UNS
* DIS # I8: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1
* INC # I8: 4 + H1: 1,3,4 + H9: 1 # G7: 5,6 => UNS
* INC # I8: 4 + H1: 1,3,4 + H9: 1 # G7: 7,8 => UNS
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => I8: 7,8
* INC I8: 7,8 # B8: 4 => UNS
* STA I8: 7,8
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for C7,H7: 4..:

* DIS # C7: 4 # H1: 2,6 => CTR => H1: 1,3,4
* INC # C7: 4 + H1: 1,3,4 # H3: 2,6 => UNS
* INC # C7: 4 + H1: 1,3,4 # H3: 2,6 => UNS
* INC # C7: 4 + H1: 1,3,4 # H3: 1,3,4 => UNS
* INC # C7: 4 + H1: 1,3,4 # E1: 2,6 => UNS
* INC # C7: 4 + H1: 1,3,4 # E1: 4,5 => UNS
* INC # C7: 4 + H1: 1,3,4 # I5: 2,6 => UNS
* INC # C7: 4 + H1: 1,3,4 # I5: 7 => UNS
* INC # C7: 4 + H1: 1,3,4 # D2: 2,8 => UNS
* INC # C7: 4 + H1: 1,3,4 # E2: 2,8 => UNS
* INC # C7: 4 + H1: 1,3,4 # G7: 5,6 => UNS
* DIS # C7: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1
* INC # C7: 4 + H1: 1,3,4 + H9: 1 # G7: 5,6 => UNS
* INC # C7: 4 + H1: 1,3,4 + H9: 1 # G7: 7,8 => UNS
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => C7: 2,5,8
* INC C7: 2,5,8 # H7: 4 => UNS
* STA C7: 2,5,8
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for H7,I8: 4..:

* DIS # I8: 4 # H1: 2,6 => CTR => H1: 1,3,4
* INC # I8: 4 + H1: 1,3,4 # H3: 2,6 => UNS
* INC # I8: 4 + H1: 1,3,4 # H3: 2,6 => UNS
* INC # I8: 4 + H1: 1,3,4 # H3: 1,3,4 => UNS
* INC # I8: 4 + H1: 1,3,4 # E1: 2,6 => UNS
* INC # I8: 4 + H1: 1,3,4 # E1: 4,5 => UNS
* INC # I8: 4 + H1: 1,3,4 # I5: 2,6 => UNS
* INC # I8: 4 + H1: 1,3,4 # I5: 7 => UNS
* INC # I8: 4 + H1: 1,3,4 # D2: 2,8 => UNS
* INC # I8: 4 + H1: 1,3,4 # E2: 2,8 => UNS
* INC # I8: 4 + H1: 1,3,4 # G7: 5,6 => UNS
* DIS # I8: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1
* INC # I8: 4 + H1: 1,3,4 + H9: 1 # G7: 5,6 => UNS
* INC # I8: 4 + H1: 1,3,4 + H9: 1 # G7: 7,8 => UNS
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3
* DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => I8: 7,8
* INC I8: 7,8 # H7: 4 => UNS
* STA I8: 7,8
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for C7,B8: 4..:

* DIS # C7: 4 # H1: 2,6 => CTR => H1: 1,3,4
* INC # C7: 4 + H1: 1,3,4 # H3: 2,6 => UNS
* INC # C7: 4 + H1: 1,3,4 # H3: 2,6 => UNS
* INC # C7: 4 + H1: 1,3,4 # H3: 1,3,4 => UNS
* INC # C7: 4 + H1: 1,3,4 # E1: 2,6 => UNS
* INC # C7: 4 + H1: 1,3,4 # E1: 4,5 => UNS
* INC # C7: 4 + H1: 1,3,4 # I5: 2,6 => UNS
* INC # C7: 4 + H1: 1,3,4 # I5: 7 => UNS
* INC # C7: 4 + H1: 1,3,4 # D2: 2,8 => UNS
* INC # C7: 4 + H1: 1,3,4 # E2: 2,8 => UNS
* INC # C7: 4 + H1: 1,3,4 # G7: 5,6 => UNS
* DIS # C7: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1
* INC # C7: 4 + H1: 1,3,4 + H9: 1 # G7: 5,6 => UNS
* INC # C7: 4 + H1: 1,3,4 + H9: 1 # G7: 7,8 => UNS
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3
* DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => C7: 2,5,8
* INC C7: 2,5,8 # B8: 4 => UNS
* STA C7: 2,5,8
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for I2,G3: 8..:

* INC # I2: 8 # B8: 4,7 => UNS
* INC # I2: 8 # B8: 1,2,3 => UNS
* INC # I2: 8 # G7: 6,7 => UNS
* INC # I2: 8 # G7: 5,8 => UNS
* INC # I2: 8 # E9: 6,7 => UNS
* INC # I2: 8 # E9: 8,9 => UNS
* INC # I2: 8 # I5: 6,7 => UNS
* INC # I2: 8 # I5: 2 => UNS
* INC # I2: 8 => UNS
* INC # G3: 8 # H1: 2,4 => UNS
* INC # G3: 8 # I1: 2,4 => UNS
* INC # G3: 8 # H3: 2,4 => UNS
* INC # G3: 8 # B2: 2,4 => UNS
* INC # G3: 8 # C2: 2,4 => UNS
* INC # G3: 8 # E2: 2,4 => UNS
* INC # G3: 8 # A8: 1,7 => UNS
* DIS # G3: 8 # B8: 1,7 => CTR => B8: 2,3,4
* INC # G3: 8 + B8: 2,3,4 # A8: 1,7 => UNS
* INC # G3: 8 + B8: 2,3,4 # A8: 2,3,8 => UNS
* INC # G3: 8 + B8: 2,3,4 # A8: 1,7 => UNS
* INC # G3: 8 + B8: 2,3,4 # A8: 2,3,8 => UNS
* INC # G3: 8 + B8: 2,3,4 # H1: 2,4 => UNS
* INC # G3: 8 + B8: 2,3,4 # I1: 2,4 => UNS
* INC # G3: 8 + B8: 2,3,4 # H3: 2,4 => UNS
* INC # G3: 8 + B8: 2,3,4 # B2: 2,4 => UNS
* INC # G3: 8 + B8: 2,3,4 # C2: 2,4 => UNS
* INC # G3: 8 + B8: 2,3,4 # E2: 2,4 => UNS
* INC # G3: 8 + B8: 2,3,4 # A8: 1,7 => UNS
* INC # G3: 8 + B8: 2,3,4 # A8: 2,3,8 => UNS
* INC # G3: 8 + B8: 2,3,4 => UNS
* CNT  30 HDP CHAINS /  30 HYP OPENED

Full list of HDP chains traversed for G5,H6: 3..:

* DIS # G5: 3 # H1: 1,6 => CTR => H1: 2,3,4
* INC # G5: 3 + H1: 2,3,4 # G3: 1,6 => UNS
* INC # G5: 3 + H1: 2,3,4 # H3: 1,6 => UNS
* INC # G5: 3 + H1: 2,3,4 # F1: 1,6 => UNS
* INC # G5: 3 + H1: 2,3,4 # F1: 3,5 => UNS
* INC # G5: 3 + H1: 2,3,4 # G4: 5,6 => UNS
* DIS # G5: 3 + H1: 2,3,4 # H4: 5,6 => CTR => H4: 2
* INC # G5: 3 + H1: 2,3,4 + H4: 2 # G4: 5,6 => UNS
* INC # G5: 3 + H1: 2,3,4 + H4: 2 # G4: 7 => UNS
* INC # G5: 3 + H1: 2,3,4 + H4: 2 # B6: 5,6 => UNS
* INC # G5: 3 + H1: 2,3,4 + H4: 2 # E6: 5,6 => UNS
* DIS # G5: 3 + H1: 2,3,4 + H4: 2 # H7: 5,6 => CTR => H7: 4
* PRF # G5: 3 + H1: 2,3,4 + H4: 2 + H7: 4 # H9: 5,6 => SOL
* STA # G5: 3 + H1: 2,3,4 + H4: 2 + H7: 4 + H9: 5,6
* CNT  13 HDP CHAINS /  14 HYP OPENED