Analysis of zz-www.sudokuoftheday.co.uk-20190423-absurd-base.sdk

Contents

Sudoku from http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Apr&YEAR=2019

level: medium

Sudoku from http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Apr&YEAR=2019

position: ..7..1.8.......15......8..2..9..26.4..83...9....49....8.4.....69...6...3..3..982. initial

Autosolve

position: ..76.1.89.8.9.4157.9...8.62..9.826.4..83...9....49...88.42.39.69..86..43..3.4982. autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

The following important HDP chains were detected:

* DIS # A2: 2,6 => CTR => A2: 3
* DIS # A3: 3,4 => CTR => A3: 1,5
* DIS # E1: 2,3 => CTR => E1: 5
* DIS # A2: 6 => CTR => A2: 2,3
* DIS # E3: 5,7 => CTR => E3: 3
* DIS # D4: 5,7 => CTR => D4: 1
* PRF # D4: 1 => SOL
* PRF # D9: 5,7 => SOL
* DIS # D9: 1 => CTR => D9: 5,7
* DIS # A3: 3,4 => CTR => A3: 1,5
* DIS # A5: 1,5 => CTR => A5: 2,4,6,7
* PRF # B5: 1,5 => SOL
* DIS # E7: 5,7 => CTR => E7: 1
* PRF # E7: 1 => SOL
* DIS # B5: 5,7 => CTR => B5: 1,2,4,6
* DIS # E7: 5,7 => CTR => E7: 1
* PRF # E7: 1 => SOL
* PRF # D9: 5,7 => SOL
* DIS # D9: 1 => CTR => D9: 5,7
* DIS # E7: 5 => CTR => E7: 1,7
* DIS # D9: 7 => CTR => D9: 1,5
* CNT  21 HDP CHAINS /  53 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 # A2: 2,6 => CTR => A2: 3
* DIS A2: 3 # A3: 4 => CTR => A3: 1,5
* DIS A2: 3 + A3: 1,5 # A5: 1,5 => CTR => A5: 2,4,6,7
* DIS A2: 3 + A3: 1,5 + A5: 2,4,6,7 # C6: 5 => CTR => C6: 1,2
* DIS A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # A5: 6,7 => CTR => A5: 2,4
* PRF A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 # A6: 6 => SOL
* STA A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 + A6: 6
* CNT   6 HDP CHAINS /  22 HYP OPENED

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

Details

Positions

..7..1.8.......15......8..2..9..26.4..83...9....49....8.4.....69...6...3..3..982. initial
..76.1.89.8.9.4157.9...8.62..9.826.4..83...9....49...88.42.39.69..86..43..3.4982. autosolve
247651389386924157195738462579182634418376295632495718854213976921867543763549821 solved

Classification

level: medium

Pairing Analysis

--------------------------------------------------
* PAIRS (14)
C2: 2,6
C3: 1,5
E2: 2,3
D3: 5,7
G1: 3,4
G3: 3,4
I5: 1,5
B7: 5,7
B8: 1,2
C8: 1,2
F8: 5,7
H7: 1,7
G8: 5,7
I9: 1,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A3,C3: 1.. / A3 = 1  => 17 pairs (_) / C3 = 1  =>  0 pairs (X)
D4,E5: 1.. / D4 = 1  =>  0 pairs (*) / E5 = 1  =>  0 pairs (X)
B8,C8: 1.. / B8 = 1  => 13 pairs (_) / C8 = 1  => 15 pairs (_)
E7,D9: 1.. / E7 = 1  =>  0 pairs (*) / D9 = 1  =>  0 pairs (X)
H7,I9: 1.. / H7 = 1  =>  0 pairs (X) / I9 = 1  =>  0 pairs (_)
E7,H7: 1.. / E7 = 1  =>  0 pairs (*) / H7 = 1  =>  0 pairs (X)
D9,I9: 1.. / D9 = 1  =>  0 pairs (X) / I9 = 1  =>  0 pairs (_)
D4,D9: 1.. / D4 = 1  =>  0 pairs (*) / D9 = 1  =>  0 pairs (X)
E5,E7: 1.. / E5 = 1  =>  0 pairs (X) / E7 = 1  =>  0 pairs (_)
I5,I9: 1.. / I5 = 1  =>  0 pairs (X) / I9 = 1  =>  0 pairs (_)
E1,E2: 2.. / E1 = 2  =>  0 pairs (X) / E2 = 2  => 13 pairs (_)
G5,G6: 2.. / G5 = 2  => 15 pairs (_) / G6 = 2  => 19 pairs (_)
B8,C8: 2.. / B8 = 2  => 15 pairs (_) / C8 = 2  => 13 pairs (_)
G1,G3: 3.. / G1 = 3  => 13 pairs (_) / G3 = 3  =>  0 pairs (X)
H4,H6: 3.. / H4 = 3  => 15 pairs (_) / H6 = 3  => 15 pairs (_)
A2,E2: 3.. / A2 = 3  => 13 pairs (_) / E2 = 3  =>  0 pairs (X)
G1,G3: 4.. / G1 = 4  =>  0 pairs (X) / G3 = 4  => 13 pairs (_)
A5,B5: 4.. / A5 = 4  => 14 pairs (_) / B5 = 4  => 14 pairs (_)
A3,G3: 4.. / A3 = 4  =>  0 pairs (X) / G3 = 4  => 13 pairs (_)
B1,B5: 4.. / B1 = 4  => 14 pairs (_) / B5 = 4  => 14 pairs (_)
G8,I9: 5.. / G8 = 5  =>  0 pairs (*) / I9 = 5  =>  0 pairs (X)
B7,E7: 5.. / B7 = 5  => 17 pairs (_) / E7 = 5  =>  0 pairs (X)
F8,G8: 5.. / F8 = 5  =>  0 pairs (X) / G8 = 5  =>  0 pairs (_)
C3,C6: 5.. / C3 = 5  => 17 pairs (_) / C6 = 5  =>  0 pairs (X)
I5,I9: 5.. / I5 = 5  =>  0 pairs (*) / I9 = 5  =>  0 pairs (X)
A2,C2: 6.. / A2 = 6  =>  0 pairs (X) / C2 = 6  => 14 pairs (_)
F5,F6: 6.. / F5 = 6  => 15 pairs (_) / F6 = 6  => 19 pairs (_)
A9,B9: 6.. / A9 = 6  => 16 pairs (_) / B9 = 6  => 15 pairs (_)
C2,C6: 6.. / C2 = 6  => 14 pairs (_) / C6 = 6  =>  0 pairs (X)
D3,E3: 7.. / D3 = 7  => 19 pairs (_) / E3 = 7  =>  0 pairs (X)
H7,G8: 7.. / H7 = 7  =>  0 pairs (*) / G8 = 7  =>  0 pairs (X)
F8,G8: 7.. / F8 = 7  =>  0 pairs (*) / G8 = 7  =>  0 pairs (X)
* DURATION: 0:00:34.364445  START: 05:32:11.405634  END: 05:32:45.770079 2019-05-01
* CP COUNT: (32)
* SOLUTION FOUND

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (B7,B8,C2,C3,C8,D3,E2,F8,G1,G3,G8,H7,I5,I9)
* ..76.1.89.8.9.4157.9...8.62..9.826.4..83...9....49...88.42.39.69..86..43..3.4982.
* PAIR C2: 2,6 BLK 1
A2: 2,6,3                                # reduction candidate for 2,6
A2: 2,6 => CTR
* ..7621.89.8.934157.91..8.62..95826.4..831..95..549...88.42.39169..86..43..3.4982.
A2: 3                                    # 13 pairs
* PAIR C2: 2,6 COL C
C6: 2,6,1,5                              # reduction candidate for 2,6
C6: 2,6                                  # 15 pairs
C6: 1,5                                  # 13 pairs
* PAIR C3: 1,5 BLK 1
A3: 1,5,3,4                              # reduction candidate for 1,5
A3: 3,4 => CTR
* ..76.1.89.869.4157.91..8.62..95826.4..831..95..549...88.42.391691286..43..3.4982.
A3: 1,5                                  # 17 pairs
* PAIR C3: 1,5 COL C
C6: 1,5,2,6                              # reduction candidate for 1,5
C6: 2,6                                  # 15 pairs
C6: 1,5                                  # 13 pairs
* PAIR E2: 2,3 BLK 2
E1: 2,3,5                                # reduction candidate for 2,3
E1: 2,3 => CTR
* ..76.1.89.8.9.4157.91..8.62..95826.4..831..95..549...88.42.39169..86..43..3.4982.
E1: 5                                    # 17 pairs
* PAIR E2: 2,3 ROW 2
A2: 2,3,6                                # reduction candidate for 2,3
A2: 6 => CTR
* ..7621.89682934157195..8.62..9.826.4..83...9...649...88.42.39.692186..43.63.4982.
A2: 2,3                                  # 14 pairs
* PAIR D3: 5,7 BLK 2
E3: 5,7,3                                # reduction candidate for 5,7
E3: 5,7 => CTR
* ..76.1.89.869.4157.91..8.62..95826.4..831..95..549...88.42.391691286..43..3.4982.
E3: 3                                    # 17 pairs
* PAIR D3: 5,7 COL D
D4: 5,7,1                                # reduction candidate for 5,7
D4: 5,7 => CTR
* ..76.1.89.8.9.4157.9...8.62..9.826.4..831..95...49...88.42.39169..86..43..3.4982.
D4: 1 => SOLVED
* 247651389386924157195738462579182634418376295632495718854213976921867543763549821
D9: 5,7,1                                # reduction candidate for 5,7
D9: 5,7 => SOLVED
* 247651389386924157195738462579182634418376295632495718854213976921867543763549821
D9: 1 => CTR
* ..76.1.89.8.9.4157.9...8.62..9.826.4..831..9....49...88.42.39.69..86..43..3149825
* PAIR G1: 3,4 ROW 1
A1: 3,4,2,5                              # reduction candidate for 3,4
A1: 3,4                                  # 17 pairs
B1: 3,4,2,5                              # reduction candidate for 3,4
B1: 3,4                                  # 17 pairs
* PAIR G3: 3,4 ROW 3
A3: 3,4,1,5                              # reduction candidate for 3,4
A3: 3,4 => CTR
* ..76.1.89.869.4157.91..8.62..95826.4..831..95..549...88.42.391691286..43..3.4982.
A3: 1,5                                  # 17 pairs
* PAIR I5: 1,5 ROW 5
A5: 1,5,2,4,6,7                          # reduction candidate for 1,5
A5: 1,5 => CTR
* ..76.1.89.8.9.4157.95738462..918263414837629....4957.88.42139769..867543..3549821
A5: 2,4,6,7                              # 14 pairs
B5: 1,5,2,4,6,7                          # reduction candidate for 1,5
B5: 1,5 => SOLVED
* 247651389386924157195738462579182634418376295632495718854213976921867543763549821
B5: 2,4,6,7                              # 14 pairs
E5: 1,5,7                                # reduction candidate for 1,5
E5: 1,5                                  # 17 pairs
* PAIR B7: 5,7 BLK 7
A9: 5,7,6                                # reduction candidate for 5,7
A9: 5,7                                  # 15 pairs
B9: 5,7,6                                # reduction candidate for 5,7
B9: 5,7                                  # 16 pairs
* PAIR B7: 5,7 ROW 7
E7: 5,7,1                                # reduction candidate for 5,7
E7: 5,7 => CTR
* ..76.1.89.8.9.4157.9...8.62..9.826.4..831..95...49...88.42.39169..86..43..3.4982.
E7: 1 => SOLVED
* 247651389386924157195738462579182634418376295632495718854213976921867543763549821
* PAIR B7: 5,7 COL B
B4: 5,7,1,3                              # reduction candidate for 5,7
B4: 5,7                                  # 16 pairs
B5: 5,7,1,2,4,6                          # reduction candidate for 5,7
B5: 5,7 => CTR
* 2476513893869241571957384625.91826744.83.629....49...88.42.39.69..86..43763.4982.
B5: 1,2,4,6                              # 14 pairs
B6: 5,7,1,2,3,6                          # reduction candidate for 5,7
B6: 5,7                                  # 17 pairs
* PAIR B8: 1,2 COL B
B5: 1,2,4,5,6,7                          # reduction candidate for 1,2
B5: 1,2                                  # 16 pairs
B6: 1,2,3,5,6,7                          # reduction candidate for 1,2
B6: 1,2                                  # 15 pairs
* PAIR C8: 1,2 COL C
C6: 1,2,5,6                              # reduction candidate for 1,2
C6: 1,2                                  # 17 pairs
C6: 5,6                                  # 15 pairs
* PAIR F8: 5,7 BLK 8
E7: 5,7,1                                # reduction candidate for 5,7
E7: 5,7 => CTR
* ..76.1.89.8.9.4157.9...8.62..9.826.4..831..95...49...88.42.39169..86..43..3.4982.
E7: 1 => SOLVED
* 247651389386924157195738462579182634418376295632495718854213976921867543763549821
D9: 5,7,1                                # reduction candidate for 5,7
D9: 5,7 => SOLVED
* 247651389386924157195738462579182634418376295632495718854213976921867543763549821
D9: 1 => CTR
* ..76.1.89.8.9.4157.9...8.62..9.826.4..831..9....49...88.42.39.69..86..43..3149825
* PAIR F8: 5,7 COL F
F5: 5,7,6                                # reduction candidate for 5,7
F5: 5,7                                  # 19 pairs
F6: 5,7,6                                # reduction candidate for 5,7
F6: 5,7                                  # 15 pairs
* PAIR H7: 1,7 ROW 7
E7: 1,7,5                                # reduction candidate for 1,7
E7: 5 => CTR
* ..76.1.89.8.9.4157.9...8.62..9.826.4..831..95...49...88.42539169..86..43..3.4982.
E7: 1,7                                  # 17 pairs
* PAIR H7: 1,7 COL H
H4: 1,7,3                                # reduction candidate for 1,7
H4: 1,7                                  # 15 pairs
H6: 1,7,3                                # reduction candidate for 1,7
H6: 1,7                                  # 15 pairs
* PAIR G8: 5,7 COL G
G5: 5,7,2                                # reduction candidate for 5,7
G5: 5,7                                  # 19 pairs
G6: 5,7,2                                # reduction candidate for 5,7
G6: 5,7                                  # 15 pairs
* PAIR I9: 1,5 ROW 9
D9: 1,5,7                                # reduction candidate for 1,5
D9: 7 => CTR
* ..76.1.89.8.9.4157.9...8.62..91826.4..83...9....49...88.42139769..86..43..3.4982.
D9: 1,5                                  # 17 pairs
* INCONCLUSIVE
* SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20190423-absurd-base-pr-000.dot
* REASONING
* DIS # A2: 2,6 => CTR => A2: 3
* DIS # A3: 3,4 => CTR => A3: 1,5
* DIS # E1: 2,3 => CTR => E1: 5
* DIS # A2: 6 => CTR => A2: 2,3
* DIS # E3: 5,7 => CTR => E3: 3
* DIS # D4: 5,7 => CTR => D4: 1
* PRF # D4: 1 => SOL
* PRF # D9: 5,7 => SOL
* DIS # D9: 1 => CTR => D9: 5,7
* DIS # A3: 3,4 => CTR => A3: 1,5
* DIS # A5: 1,5 => CTR => A5: 2,4,6,7
* PRF # B5: 1,5 => SOL
* DIS # E7: 5,7 => CTR => E7: 1
* PRF # E7: 1 => SOL
* DIS # B5: 5,7 => CTR => B5: 1,2,4,6
* DIS # E7: 5,7 => CTR => E7: 1
* PRF # E7: 1 => SOL
* PRF # D9: 5,7 => SOL
* DIS # D9: 1 => CTR => D9: 5,7
* DIS # E7: 5 => CTR => E7: 1,7
* DIS # D9: 7 => CTR => D9: 1,5
* CNT  21 HDP CHAINS /  53 HYP OPENED

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (B7,B8,C2,C3,C8,D3,E2,F8,G1,G3,G8,H7,I5,I9)
* ..76.1.89.8.9.4157.9...8.62..9.826.4..83...9....49...88.42.39.69..86..43..3.4982.
* PAIR C2: 2,6 BLK 1
A2: 2,6,3                                # reduction candidate for 2,6
A2: 2,6 => CTR
* ..7621.89.8.934157.91..8.62..95826.4..831..95..549...88.42.39169..86..43..3.4982.
* PAIR C3: 1,5 BLK 1
A3: 1,5,4                                # reduction candidate for 1,5
A3: 4 => CTR
* ..7631489386924157491..8362..95826.4.4831..95..549...88.42.391691286..43..3.4982.
* PAIR C3: 1,5 COL C
C6: 1,5,2                                # reduction candidate for 1,5
C6: 1,5                                  # 17 pairs
C6: 2                                    # 15 pairs
* PAIR I5: 1,5 ROW 5
A5: 1,5,2,4,6,7                          # reduction candidate for 1,5
A5: 1,5 => CTR
* 427651389386924157.9.738462739582614.483.629.26.49..388542.39.691286..43673.4982.
* PAIR RESTART
* PAIR B8: 1,2 COL B
B5: 1,2,4,6,7                            # reduction candidate for 1,2
B5: 1,2                                  # 19 pairs
B6: 1,2,3,6,7                            # reduction candidate for 1,2
B6: 1,2                                  # 20 pairs
* PAIR C8: 1,2 COL C
C6: 1,2,5                                # reduction candidate for 1,2
C6: 5 => CTR
* ..7651389386924157591738462..95826.4..831..95..549...88542.39.69.286..43..3.4982.
* PAIR RESTART
* PAIR F8: 5,7 COL F
F5: 5,7,6                                # reduction candidate for 5,7
F5: 5,7                                  # 21 pairs
F6: 5,7,6                                # reduction candidate for 5,7
F6: 5,7                                  # 19 pairs
* PAIR H7: 1,7 COL H
H4: 1,7,3                                # reduction candidate for 1,7
H4: 1,7                                  # 18 pairs
H6: 1,7,3                                # reduction candidate for 1,7
H6: 1,7                                  # 19 pairs
* PAIR G8: 5,7 COL G
G5: 5,7,2                                # reduction candidate for 5,7
G5: 5,7                                  # 20 pairs
G6: 5,7,2                                # reduction candidate for 5,7
G6: 5,7                                  # 18 pairs

* LEVEL 0 PASS 1 ROUND 2 (AUTO SOLVE) (A1,A4,A9,B1,B8,B9,C6,C8,D4,D9,E5,E7,F8,G8,H7,I5,I9)
* ..7651389386924157195738462..9.826.4..83...9....49...88542.39.69..86..43..3.4982.
* PAIR A1: 2,4 COL A
A5: 2,4,6,7                              # reduction candidate for 2,4
A5: 6,7 => CTR
* 4276513893869241571957384625.91826.4.4837.2912.149.5.88542139.691286..43..3.4982.
* PAIR RESTART
* PAIR B1: 2,4 COL B
B5: 2,4,1,6,7                            # reduction candidate for 2,4
B5: 2,4                                  # 20 pairs
B5: 1,6,7                                # 17 pairs
* PAIR A4: 5,7 BLK 4
A6: 5,7,6                                # reduction candidate for 5,7
A6: 6 => SOLVED
* 247651389386924157195738462579182634418376295632495718854213976921867543763549821
* DURATION: 0:00:18.466009  START: 05:33:18.460866  END: 05:33:36.926875 2019-05-01
* SOLUTION FOUND
* SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20190423-absurd-base-pr-001.dot
* REASONING
* DIS # A2: 2,6 => CTR => A2: 3
* DIS A2: 3 # A3: 4 => CTR => A3: 1,5
* DIS A2: 3 + A3: 1,5 # A5: 1,5 => CTR => A5: 2,4,6,7
* DIS A2: 3 + A3: 1,5 + A5: 2,4,6,7 # C6: 5 => CTR => C6: 1,2
* DIS A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # A5: 6,7 => CTR => A5: 2,4
* PRF A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 # A6: 6 => SOL
* STA A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 + A6: 6
* CNT   6 HDP CHAINS /  22 HYP OPENED

Header Info

http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Apr&YEAR=2019, 20190423, absurd

Solution

position: 247651389386924157195738462579182634418376295632495718854213976921867543763549821 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 # A2: 2,6 => CTR => A2: 3
* INC # A2: 3 => UNS
* INC # C6: 2,6 => UNS
* INC # C6: 1,5 => UNS
* INC # A3: 1,5 => UNS
* DIS # A3: 3,4 => CTR => A3: 1,5
* INC # C6: 1,5 => UNS
* INC # C6: 2,6 => UNS
* DIS # E1: 2,3 => CTR => E1: 5
* INC # E1: 5 => UNS
* INC # A2: 2,3 => UNS
* DIS # A2: 6 => CTR => A2: 2,3
* DIS # E3: 5,7 => CTR => E3: 3
* INC # E3: 3 => UNS
* DIS # D4: 5,7 => CTR => D4: 1
* PRF # D4: 1 => SOL
* PRF # D9: 5,7 => SOL
* DIS # D9: 1 => CTR => D9: 5,7
* INC # A1: 3,4 => UNS
* INC # B1: 3,4 => UNS
* DIS # A3: 3,4 => CTR => A3: 1,5
* INC # A3: 1,5 => UNS
* DIS # A5: 1,5 => CTR => A5: 2,4,6,7
* INC # A5: 2,4,6,7 => UNS
* PRF # B5: 1,5 => SOL
* INC # B5: 2,4,6,7 => UNS
* INC # E5: 1,5 => UNS
* INC # A9: 5,7 => UNS
* INC # B9: 5,7 => UNS
* DIS # E7: 5,7 => CTR => E7: 1
* PRF # E7: 1 => SOL
* INC # B4: 5,7 => UNS
* DIS # B5: 5,7 => CTR => B5: 1,2,4,6
* INC # B5: 1,2,4,6 => UNS
* INC # B6: 5,7 => UNS
* INC # B5: 1,2 => UNS
* INC # B6: 1,2 => UNS
* INC # C6: 1,2 => UNS
* INC # C6: 5,6 => UNS
* DIS # E7: 5,7 => CTR => E7: 1
* PRF # E7: 1 => SOL
* PRF # D9: 5,7 => SOL
* DIS # D9: 1 => CTR => D9: 5,7
* INC # F5: 5,7 => UNS
* INC # F6: 5,7 => UNS
* INC # E7: 1,7 => UNS
* DIS # E7: 5 => CTR => E7: 1,7
* INC # H4: 1,7 => UNS
* INC # H6: 1,7 => UNS
* INC # G5: 5,7 => UNS
* INC # G6: 5,7 => UNS
* INC # D9: 1,5 => UNS
* DIS # D9: 7 => CTR => D9: 1,5
* CNT  53 HDP CHAINS /  53 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* DIS # A2: 2,6 => CTR => A2: 3
* INC A2: 3 # A3: 1,5 => UNS
* DIS A2: 3 # A3: 4 => CTR => A3: 1,5
* INC A2: 3 + A3: 1,5 # C6: 1,5 => UNS
* INC A2: 3 + A3: 1,5 # C6: 2 => UNS
* DIS A2: 3 + A3: 1,5 # A5: 1,5 => CTR => A5: 2,4,6,7
* INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 # B5: 1,2 => UNS
* INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 # B6: 1,2 => UNS
* INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 # C6: 1,2 => UNS
* DIS A2: 3 + A3: 1,5 + A5: 2,4,6,7 # C6: 5 => CTR => C6: 1,2
* INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # F5: 5,7 => UNS
* INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # F6: 5,7 => UNS
* INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # H4: 1,7 => UNS
* INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # H6: 1,7 => UNS
* INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # G5: 5,7 => UNS
* INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # G6: 5,7 => UNS
* INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # A5: 2,4 => UNS
* DIS A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # A5: 6,7 => CTR => A5: 2,4
* INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 # B5: 2,4 => UNS
* INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 # B5: 1,6,7 => UNS
* INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 # A6: 5,7 => UNS
* PRF A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 # A6: 6 => SOL
* STA A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 + A6: 6
* CNT  22 HDP CHAINS /  22 HYP OPENED