Analysis of zz-menneske-no-06908705-base.sdk

Contents

Sudoku from http://www.menneske.no/sudoku/utskrift.html?number=6908705

level: medium

Sudoku from http://www.menneske.no/sudoku/utskrift.html?number=6908705

position: 2...49....7.8..4..1......9...71.....6.8...1.7......3...2......3....3284...398...2 initial

Autosolve

position: 2...49....7.8..4..1......9...71.....6.8...1.7.12...3..82......3....3284...398...2 autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

The following important HDP chains were detected:

* DIS # B1: 5,6 => CTR => B1: 3,8
* DIS # C3: 5,6 => CTR => C3: 4
* DIS # H1: 5,6 => CTR => H1: 1,3,7,8
* DIS # I1: 5,6 => CTR => I1: 1,8
* DIS # C8: 5,6 => CTR => C8: 1,9
* DIS # H1: 5,6 => CTR => H1: 1,3,7,8
* DIS # I1: 5,6 => CTR => I1: 1,8
* DIS # H2: 5,6 => CTR => H2: 2,3
* DIS # I3: 5,6 => CTR => I3: 8
* DIS # I4: 5,6 => CTR => I4: 4,8,9
* DIS # I6: 5,6 => CTR => I6: 4,8,9
* CNT  11 HDP CHAINS /  39 HYP OPENED

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

Pair Reduction

Pair Reduction

The following important HDP chains were detected:

* DIS # B1: 5,6 => CTR => B1: 3,8
* DIS B1: 3,8 # C3: 5,6 => CTR => C3: 4
* DIS B1: 3,8 + C3: 4 # H1: 5,6 => CTR => H1: 1,3,7,8
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 # I1: 5,6 => CTR => I1: 1,8
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 # C8: 5,6 => CTR => C8: 1,9
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 # H2: 5,6 => CTR => H2: 2,3
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 # I3: 5,6 => CTR => I3: 8
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 # C2: 5,6 => CTR => C2: 9
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 # H4: 2,5 => CTR => H4: 6,8
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 + H4: 6,8 # G4: 6 => CTR => G4: 2,5
* PRF B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 + H4: 6,8 + G4: 2,5 # B3: 3 => SOL
* STA B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 + H4: 6,8 + G4: 2,5 + B3: 3
* CNT  11 HDP CHAINS /  37 HYP OPENED

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

Details

Positions

2...49....7.8..4..1......9...71.....6.8...1.7......3...2......3....3284...398...2 initial
2...49....7.8..4..1......9...71.....6.8...1.7.12...3..82......3....3284...398...2 autosolve
286549731579813426134276598357198264698324157412657389825461973961732845743985612 solved

Classification

level: medium

Pairing Analysis

--------------------------------------------------
* PAIRS (3)
C1: 5,6
I2: 5,6
H5: 2,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E2,F2: 1.. / E2 = 1  => 15 pairs (_) / F2 = 1  =>  3 pairs (_)
H1,I1: 1.. / H1 = 1  =>  0 pairs (X) / I1 = 1  =>  3 pairs (_)
C7,C8: 1.. / C7 = 1  =>  0 pairs (X) / C8 = 1  =>  3 pairs (_)
C8,I8: 1.. / C8 = 1  =>  3 pairs (_) / I8 = 1  =>  0 pairs (X)
F9,H9: 1.. / F9 = 1  => 16 pairs (_) / H9 = 1  =>  3 pairs (_)
E2,E7: 1.. / E2 = 1  => 15 pairs (_) / E7 = 1  =>  3 pairs (_)
I1,I8: 1.. / I1 = 1  =>  3 pairs (_) / I8 = 1  =>  0 pairs (X)
H2,G3: 2.. / H2 = 2  => 15 pairs (_) / G3 = 2  =>  9 pairs (_)
E2,H2: 2.. / E2 = 2  =>  9 pairs (_) / H2 = 2  => 15 pairs (_)
D3,D5: 2.. / D3 = 2  => 17 pairs (_) / D5 = 2  =>  6 pairs (_)
G3,G4: 2.. / G3 = 2  =>  9 pairs (_) / G4 = 2  => 15 pairs (_)
H1,H2: 3.. / H1 = 3  =>  8 pairs (_) / H2 = 3  => 16 pairs (_)
A2,A4: 3.. / A2 = 3  => 11 pairs (_) / A4 = 3  =>  9 pairs (_)
B3,C3: 4.. / B3 = 4  =>  0 pairs (X) / C3 = 4  =>  3 pairs (_)
I4,I6: 4.. / I4 = 4  =>  3 pairs (_) / I6 = 4  =>  4 pairs (_)
C3,C7: 4.. / C3 = 4  =>  3 pairs (_) / C7 = 4  =>  0 pairs (X)
A8,A9: 7.. / A8 = 7  =>  5 pairs (_) / A9 = 7  =>  6 pairs (_)
A8,D8: 7.. / A8 = 7  =>  5 pairs (_) / D8 = 7  =>  6 pairs (_)
B1,B3: 8.. / B1 = 8  =>  3 pairs (_) / B3 = 8  =>  0 pairs (X)
F4,F6: 8.. / F4 = 8  =>  3 pairs (_) / F6 = 8  =>  4 pairs (_)
B3,I3: 8.. / B3 = 8  =>  0 pairs (X) / I3 = 8  =>  3 pairs (_)
A2,C2: 9.. / A2 = 9  => 15 pairs (_) / C2 = 9  =>  6 pairs (_)
G7,I8: 9.. / G7 = 9  =>  5 pairs (_) / I8 = 9  =>  0 pairs (X)
B5,E5: 9.. / B5 = 9  => 17 pairs (_) / E5 = 9  =>  3 pairs (_)
C7,G7: 9.. / C7 = 9  =>  0 pairs (X) / G7 = 9  =>  5 pairs (_)
G4,G7: 9.. / G4 = 9  =>  0 pairs (X) / G7 = 9  =>  5 pairs (_)
* DURATION: 0:00:29.937290  START: 06:45:23.520705  END: 06:45:53.457995 2017-05-01
* CP COUNT: (26)
* CLUE FOUND

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (C1,H5,I2)
* 2...49....7.8..4..1......9...71.....6.8...1.7.12...3..82......3....3284...398...2
* PAIR C1: 5,6 BLK 1
B1: 5,6,3,8                              # reduction candidate for 5,6
B1: 5,6 => CTR
* 2...49.3.3798..4..184....9...71.....6.8...1.7.12...3..82....9.3....3284...398...2
B1: 3,8                                  #  4 pairs
C2: 5,6,9                                # reduction candidate for 5,6
C2: 5,6                                  # 15 pairs
B3: 5,6,3,4,8                            # reduction candidate for 5,6
B3: 5,6                                  # 13 pairs
C3: 5,6,4                                # reduction candidate for 5,6
C3: 5,6 => CTR
* 28..49.313798..4..14.....98..71.....6.84..1.7.12...3..824...9.3..1.3284...3984.12
C3: 4                                    #  3 pairs
* PAIR C1: 5,6 ROW 1
D1: 5,6,3,7                              # reduction candidate for 5,6
D1: 5,6                                  #  9 pairs
G1: 5,6,7                                # reduction candidate for 5,6
G1: 5,6                                  #  8 pairs
H1: 5,6,1,3,7,8                          # reduction candidate for 5,6
H1: 5,6 => CTR
* 285349761976821435134...2983971.8624648293157.12...38.82..1..73..1.3284.4.3987.12
H1: 1,3,7,8                              #  3 pairs
I1: 5,6,1,8                              # reduction candidate for 5,6
I1: 5,6 => CTR
* 2...49.1..7.8..43.1.....2983.71.....6.82.3157.12...3..82......3....32841..3981..2
I1: 1,8                                  #  4 pairs
* PAIR C1: 5,6 COL C
C7: 5,6,1,4,9                            # reduction candidate for 5,6
C7: 5,6                                  #  8 pairs
C8: 5,6,1,9                              # reduction candidate for 5,6
C8: 5,6 => CTR
* 2...49.1..7981.4..1......9...71.....6.8...1.7.12...3..821...9.3....32841..3981..2
C8: 1,9                                  #  4 pairs
* PAIR I2: 5,6 BLK 3
G1: 5,6,7                                # reduction candidate for 5,6
G1: 5,6                                  #  8 pairs
H1: 5,6,1,3,7,8                          # reduction candidate for 5,6
H1: 5,6 => CTR
* 285349761976821435134...2983971.8624648293157.12...38.82..1..73..1.3284.4.3987.12
H1: 1,3,7,8                              #  3 pairs
I1: 5,6,1,8                              # reduction candidate for 5,6
I1: 5,6 => CTR
* 2...49.1..7.8..43.1.....2983.71.....6.82.3157.12...3..82......3....32841..3981..2
I1: 1,8                                  #  4 pairs
H2: 5,6,2,3                              # reduction candidate for 5,6
H2: 5,6 => CTR
* 28..49731379821465154376298.37158624648293157512764389825.1.973.91.32846463987512
H2: 2,3                                  #  4 pairs
G3: 5,6,2,7                              # reduction candidate for 5,6
G3: 5,6                                  # 17 pairs
I3: 5,6,8                                # reduction candidate for 5,6
I3: 5,6 => CTR
* 23..49781.7.82143.1843..29.3.71..92.6.82.3157.12...3..82..1...3..1.32849..398..12
I3: 8                                    #  3 pairs
* PAIR I2: 5,6 ROW 2
C2: 5,6,9                                # reduction candidate for 5,6
C2: 5,6                                  # 15 pairs
E2: 5,6,1,2                              # reduction candidate for 5,6
E2: 5,6                                  # 13 pairs
F2: 5,6,1,3                              # reduction candidate for 5,6
F2: 5,6                                  # 15 pairs
* PAIR I2: 5,6 COL I
I4: 5,6,4,8,9                            # reduction candidate for 5,6
I4: 5,6 => CTR
* 28..49..197.8..4..134...2983471..9..69825.1.7512.9.3.4829.....37.1.328494.398...2
I4: 4,8,9                                #  3 pairs
I6: 5,6,4,8,9                            # reduction candidate for 5,6
I6: 5,6 => CTR
* 28..49..197.8..4..134...2983571..9.469825.1.7412.9.3..829.....3..1.32849.4398...2
I6: 4,8,9                                #  3 pairs
I8: 5,6,1,9                              # reduction candidate for 5,6
I8: 5,6                                  #  7 pairs
* PAIR H5: 2,5 BLK 6
G4: 2,5,6,9                              # reduction candidate for 2,5
G4: 2,5                                  #  8 pairs
H4: 2,5,6,8                              # reduction candidate for 2,5
H4: 2,5                                  #  9 pairs
* PAIR H5: 2,5 ROW 5
D5: 2,5,3,4                              # reduction candidate for 2,5
D5: 2,5                                  #  6 pairs
E5: 2,5,9                                # reduction candidate for 2,5
E5: 2,5                                  # 17 pairs
* PAIR H5: 2,5 COL H
H2: 2,5,3,6                              # reduction candidate for 2,5
H2: 2,5                                  # 11 pairs
H2: 3,6                                  #  9 pairs
* INCONCLUSIVE
* SAVE PR GRAPH zz-menneske-no-06908705-base-pr-000.dot
* REASONING
* DIS # B1: 5,6 => CTR => B1: 3,8
* DIS # C3: 5,6 => CTR => C3: 4
* DIS # H1: 5,6 => CTR => H1: 1,3,7,8
* DIS # I1: 5,6 => CTR => I1: 1,8
* DIS # C8: 5,6 => CTR => C8: 1,9
* DIS # H1: 5,6 => CTR => H1: 1,3,7,8
* DIS # I1: 5,6 => CTR => I1: 1,8
* DIS # H2: 5,6 => CTR => H2: 2,3
* DIS # I3: 5,6 => CTR => I3: 8
* DIS # I4: 5,6 => CTR => I4: 4,8,9
* DIS # I6: 5,6 => CTR => I6: 4,8,9
* CNT  11 HDP CHAINS /  39 HYP OPENED

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (C1,H5,I2)
* 2...49....7.8..4..1......9...71.....6.8...1.7.12...3..82......3....3284...398...2
* PAIR C1: 5,6 BLK 1
B1: 5,6,3,8                              # reduction candidate for 5,6
B1: 5,6 => CTR
* 2...49.3.3798..4..184....9...71.....6.8...1.7.12...3..82....9.3....3284...398...2
C2: 5,6,9                                # reduction candidate for 5,6
C2: 5,6                                  # 15 pairs
B3: 5,6,3,4,8                            # reduction candidate for 5,6
B3: 5,6                                  # 13 pairs
C3: 5,6,4                                # reduction candidate for 5,6
C3: 5,6 => CTR
* 28..49.313798..4..14.....98..71.....6.84..1.7.12...3..824...9.3..1.3284...3984.12
* PAIR C1: 5,6 ROW 1
D1: 5,6,3,7                              # reduction candidate for 5,6
D1: 5,6                                  #  9 pairs
G1: 5,6,7                                # reduction candidate for 5,6
G1: 5,6                                  #  8 pairs
H1: 5,6,1,3,7,8                          # reduction candidate for 5,6
H1: 5,6 => CTR
* 285349761976821435134...2983971.8624648293157.12...38.82..1..73..1.3284.4.3987.12
I1: 5,6,1,8                              # reduction candidate for 5,6
I1: 5,6 => CTR
* 2...49.1..7.8..43.1.4...2983.71.....6.82.3157.12...3..82......3....32841..3981..2
* PAIR C1: 5,6 COL C
C7: 5,6,1,9                              # reduction candidate for 5,6
C7: 5,6                                  #  9 pairs
C8: 5,6,1,9                              # reduction candidate for 5,6
C8: 5,6 => CTR
* 2...49.18.7981.4..1.4....9...71.....6.8...1.7.12...3..821...9.3....32841..3981..2
* RESTART
* PAIR C1: 5,6 COL C
C7: 5,6,1,9                              # reduction candidate for 5,6
C7: 1,9                                  # 16 pairs
C7: 5,6                                  #  9 pairs
* PAIR RESTART
* PAIR C1: 5,6 BLK 1
C2: 5,6,9                                # reduction candidate for 5,6
C2: 5,6                                  # 16 pairs
B3: 5,6,3,8                              # reduction candidate for 5,6
B3: 5,6                                  # 13 pairs
* PAIR C1: 5,6 ROW 1
D1: 5,6,3,7                              # reduction candidate for 5,6
D1: 5,6                                  # 10 pairs
G1: 5,6,7                                # reduction candidate for 5,6
G1: 5,6                                  #  8 pairs
* PAIR C1: 5,6 COL C
C7: 5,6,1,9                              # reduction candidate for 5,6
C7: 1,9                                  # 16 pairs
C7: 5,6                                  #  9 pairs
* PAIR I2: 5,6 BLK 3
G1: 5,6,7                                # reduction candidate for 5,6
G1: 5,6                                  #  8 pairs
H2: 5,6,2,3                              # reduction candidate for 5,6
H2: 5,6 => CTR
* 2865497313798214651.43..298.371.862.648293157.12...38.82..1.973.91.32846463987512
G3: 5,6,2,7                              # reduction candidate for 5,6
G3: 5,6                                  # 18 pairs
I3: 5,6,8                                # reduction candidate for 5,6
I3: 5,6 => CTR
* 23..49781.7.82143.18437.29.3.716.92.64829315791275.36.82941..737.1.328494.3987.12
* PAIR I2: 5,6 ROW 2
C2: 5,6,9                                # reduction candidate for 5,6
C2: 5,6 => CTR
* 28..49..197.8..4..134...2983.71..9..69825.1.7.12.9.3..829.....3..1.32849..398...2
E2: 5,6,1,2                              # reduction candidate for 5,6
E2: 5,6                                  # 15 pairs
F2: 5,6,1,3                              # reduction candidate for 5,6
F2: 5,6                                  # 17 pairs
* PAIR RESTART
* PAIR I2: 5,6 BLK 3
G1: 5,6,7                                # reduction candidate for 5,6
G1: 5,6                                  # 13 pairs
G3: 5,6,2,7                              # reduction candidate for 5,6
G3: 5,6                                  # 18 pairs
* PAIR I2: 5,6 ROW 2
E2: 5,6,1,2                              # reduction candidate for 5,6
E2: 5,6                                  # 15 pairs
F2: 5,6,1,3                              # reduction candidate for 5,6
F2: 5,6                                  # 17 pairs
* PAIR H5: 2,5 BLK 6
G4: 2,5,6                                # reduction candidate for 2,5
G4: 2,5                                  # 13 pairs
H4: 2,5,6,8                              # reduction candidate for 2,5
H4: 2,5 => CTR
* 28..49571.79821436134...2983.71.862.648293157.12...38.825.1.963791632845463985712
* RESTART
* PAIR H5: 2,5 BLK 6
G4: 2,5,6                                # reduction candidate for 2,5
G4: 6 => CTR
* 28..49..1.798..4..1.4...298..712.68.6.8...127.12..835.82....9.3..1.3284...398...2
* PAIR H5: 2,5 ROW 5
D5: 2,5,3,4                              # reduction candidate for 2,5
D5: 2,5                                  # 16 pairs
E5: 2,5,9                                # reduction candidate for 2,5
E5: 2,5                                  # 17 pairs

* LEVEL 0 PASS 1 ROUND 2 (AUTO SOLVE) (A2,C1,C7,G4,H1,H2,H4,H5,H6,I2,I4,I6,I8)
* 28..49..1.798..4..1.4....98..71.....6.8...1.7.12...3..82....9.3..1.3284...398...2
* PAIR C1: 5,6 BLK 1
B3: 5,6,3                                # reduction candidate for 5,6
B3: 3 => SOLVED
* 286549731579813426134276598357198264698324157412657389825461973961732845743985612
* DURATION: 0:00:32.317405  START: 06:46:18.655900  END: 06:46:50.973305 2017-05-01
* SOLUTION FOUND
* SAVE PR GRAPH zz-menneske-no-06908705-base-pr-001.dot
* REASONING
* DIS # B1: 5,6 => CTR => B1: 3,8
* DIS B1: 3,8 # C3: 5,6 => CTR => C3: 4
* DIS B1: 3,8 + C3: 4 # H1: 5,6 => CTR => H1: 1,3,7,8
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 # I1: 5,6 => CTR => I1: 1,8
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 # C8: 5,6 => CTR => C8: 1,9
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 # H2: 5,6 => CTR => H2: 2,3
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 # I3: 5,6 => CTR => I3: 8
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 # C2: 5,6 => CTR => C2: 9
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 # H4: 2,5 => CTR => H4: 6,8
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 + H4: 6,8 # G4: 6 => CTR => G4: 2,5
* PRF B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 + H4: 6,8 + G4: 2,5 # B3: 3 => SOL
* STA B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 + H4: 6,8 + G4: 2,5 + B3: 3
* CNT  11 HDP CHAINS /  37 HYP OPENED

Header Info

http://www.menneske.no/sudoku/utskrift.html?number=6908705
umulig

Solution

position: 286549731579813426134276598357198264698324157412657389825461973961732845743985612 solved
Solution

See section Pair Reduction for the HDP chains leading to this result.

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* DIS # B1: 5,6 => CTR => B1: 3,8
* INC # B1: 3,8 => UNS
* INC # C2: 5,6 => UNS
* INC # B3: 5,6 => UNS
* DIS # C3: 5,6 => CTR => C3: 4
* INC # C3: 4 => UNS
* INC # D1: 5,6 => UNS
* INC # G1: 5,6 => UNS
* DIS # H1: 5,6 => CTR => H1: 1,3,7,8
* INC # H1: 1,3,7,8 => UNS
* DIS # I1: 5,6 => CTR => I1: 1,8
* INC # I1: 1,8 => UNS
* INC # C7: 5,6 => UNS
* DIS # C8: 5,6 => CTR => C8: 1,9
* INC # C8: 1,9 => UNS
* INC # G1: 5,6 => UNS
* DIS # H1: 5,6 => CTR => H1: 1,3,7,8
* INC # H1: 1,3,7,8 => UNS
* DIS # I1: 5,6 => CTR => I1: 1,8
* INC # I1: 1,8 => UNS
* DIS # H2: 5,6 => CTR => H2: 2,3
* INC # H2: 2,3 => UNS
* INC # G3: 5,6 => UNS
* DIS # I3: 5,6 => CTR => I3: 8
* INC # I3: 8 => UNS
* INC # C2: 5,6 => UNS
* INC # E2: 5,6 => UNS
* INC # F2: 5,6 => UNS
* DIS # I4: 5,6 => CTR => I4: 4,8,9
* INC # I4: 4,8,9 => UNS
* DIS # I6: 5,6 => CTR => I6: 4,8,9
* INC # I6: 4,8,9 => UNS
* INC # I8: 5,6 => UNS
* INC # G4: 2,5 => UNS
* INC # H4: 2,5 => UNS
* INC # D5: 2,5 => UNS
* INC # E5: 2,5 => UNS
* INC # H2: 2,5 => UNS
* INC # H2: 3,6 => UNS
* CNT  39 HDP CHAINS /  39 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* DIS # B1: 5,6 => CTR => B1: 3,8
* INC B1: 3,8 # C2: 5,6 => UNS
* INC B1: 3,8 # B3: 5,6 => UNS
* DIS B1: 3,8 # C3: 5,6 => CTR => C3: 4
* INC B1: 3,8 + C3: 4 # D1: 5,6 => UNS
* INC B1: 3,8 + C3: 4 # G1: 5,6 => UNS
* DIS B1: 3,8 + C3: 4 # H1: 5,6 => CTR => H1: 1,3,7,8
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 # I1: 5,6 => CTR => I1: 1,8
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 # C7: 5,6 => UNS
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 # C8: 5,6 => CTR => C8: 1,9
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 # C7: 5,6 => UNS
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 # C7: 1,9 => UNS
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 # C2: 5,6 => UNS
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 # B3: 5,6 => UNS
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 # D1: 5,6 => UNS
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 # G1: 5,6 => UNS
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 # C7: 5,6 => UNS
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 # C7: 1,9 => UNS
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 # G1: 5,6 => UNS
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 # H2: 5,6 => CTR => H2: 2,3
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 # G3: 5,6 => UNS
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 # I3: 5,6 => CTR => I3: 8
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 # C2: 5,6 => CTR => C2: 9
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 # E2: 5,6 => UNS
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 # F2: 5,6 => UNS
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 # G1: 5,6 => UNS
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 # G3: 5,6 => UNS
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 # E2: 5,6 => UNS
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 # F2: 5,6 => UNS
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 # G4: 2,5 => UNS
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 # H4: 2,5 => CTR => H4: 6,8
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 + H4: 6,8 # G4: 2,5 => UNS
* DIS B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 + H4: 6,8 # G4: 6 => CTR => G4: 2,5
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 + H4: 6,8 + G4: 2,5 # D5: 2,5 => UNS
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 + H4: 6,8 + G4: 2,5 # E5: 2,5 => UNS
* INC B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 + H4: 6,8 + G4: 2,5 # B3: 5,6 => UNS
* PRF B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 + H4: 6,8 + G4: 2,5 # B3: 3 => SOL
* STA B1: 3,8 + C3: 4 + H1: 1,3,7,8 + I1: 1,8 + C8: 1,9 + H2: 2,3 + I3: 8 + C2: 9 + H4: 6,8 + G4: 2,5 + B3: 3
* CNT  37 HDP CHAINS /  37 HYP OPENED