Analysis of zz-www.sudokuoftheday.co.uk-20190227-absurd-base.sdk

Contents

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

level: medium

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

position: ..835.........26......865...4.9..31...9.1...7..7..4...8.....4.235....9...72...... initial

Autosolve

position: ..835.7.......26......865..24.97831...9.1..471.7..4...8.....4.235....9...72...1.. autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

The following important HDP chains were detected:

* DIS # B1: 1,9 => CTR => B1: 2,6
* DIS # B3: 1,9 => CTR => B3: 2
* DIS # I2: 1,9 => CTR => I2: 3,4,8
* DIS # B7: 6 => CTR => B7: 1,9
* DIS # B1: 1,9 => CTR => B1: 2,6
* DIS # F7: 1,9 => CTR => F7: 3,5,7
* DIS # A2: 4,9 => CTR => A2: 5,7
* DIS # I2: 4,9 => CTR => I2: 1,3,8
* DIS # B1: 2,9 => CTR => B1: 1,6
* DIS # B7: 1,6 => CTR => B7: 9
* PRF # C8: 1,6 => SOL
* DIS # I9: 6,8 => CTR => I9: 3,5
* DIS # D8: 6,8 => CTR => D8: 1,2,4
* CNT  13 HDP CHAINS /  45 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: 1,9 => CTR => B1: 2,6
* DIS B1: 2,6 # B3: 1,9 => CTR => B3: 2
* DIS B1: 2,6 + B3: 2 # I2: 1,9 => CTR => I2: 3,4,8
* DIS B1: 2,6 + B3: 2 + I2: 3,4,8 # F7: 1,9 => CTR => F7: 3,5,7
* DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 # A2: 4,9 => CTR => A2: 5,7
* DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # F9: 3,5 => CTR => F9: 9
* DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 # I6: 5,6 => CTR => I6: 9
* DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 # D7: 5 => CTR => D7: 1,6
* PRF B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 + D7: 1,6 # D6: 5,6 => SOL
* STA B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 + D7: 1,6 + D6: 5,6
* CNT   9 HDP CHAINS /  22 HYP OPENED

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

Details

Positions

..835.........26......865...4.9..31...9.1...7..7..4...8.....4.235....9...72...... initial
..835.7.......26......865..24.97831...9.1..471.7..4...8.....4.235....9...72...1.. autosolve
968351724514792683723486591245978316689513247137624859896135472351247968472869135 solved

Classification

level: medium

Pairing Analysis

--------------------------------------------------
* PAIRS (15)
B2: 1,9
F1: 1,9
E2: 4,9
H1: 2,9
C4: 5,6
A5: 5,6
B5: 3,8
B6: 3,8
F5: 3,5
I4: 5,6
G5: 2,8
G6: 2,8
C7: 1,6
F8: 1,7
I8: 6,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B1,B3: 2.. / B1 = 2  =>  0 pairs (X) / B3 = 2  => 15 pairs (_)
H1,H3: 2.. / H1 = 2  => 15 pairs (_) / H3 = 2  =>  0 pairs (X)
G5,G6: 2.. / G5 = 2  => 19 pairs (_) / G6 = 2  => 21 pairs (_)
D8,E8: 2.. / D8 = 2  =>  0 pairs (*) / E8 = 2  =>  0 pairs (X)
B1,H1: 2.. / B1 = 2  =>  0 pairs (X) / H1 = 2  => 15 pairs (_)
B3,H3: 2.. / B3 = 2  => 15 pairs (_) / H3 = 2  =>  0 pairs (X)
D5,G5: 2.. / D5 = 2  => 21 pairs (_) / G5 = 2  => 19 pairs (_)
E6,E8: 2.. / E6 = 2  =>  0 pairs (*) / E8 = 2  =>  0 pairs (X)
C2,C3: 3.. / C2 = 3  => 25 pairs (_) / C3 = 3  => 21 pairs (_)
B5,B6: 3.. / B5 = 3  => 21 pairs (_) / B6 = 3  => 19 pairs (_)
F5,E6: 3.. / F5 = 3  => 19 pairs (_) / E6 = 3  => 21 pairs (_)
B5,F5: 3.. / B5 = 3  => 21 pairs (_) / F5 = 3  => 19 pairs (_)
B6,E6: 3.. / B6 = 3  => 19 pairs (_) / E6 = 3  => 21 pairs (_)
C8,A9: 4.. / C8 = 4  => 21 pairs (_) / A9 = 4  =>  0 pairs (*)
A1,I1: 4.. / A1 = 4  => 24 pairs (_) / I1 = 4  => 19 pairs (_)
A2,C2: 5.. / A2 = 5  => 22 pairs (_) / C2 = 5  =>  0 pairs (X)
C4,A5: 5.. / C4 = 5  => 22 pairs (_) / A5 = 5  =>  0 pairs (X)
C4,I4: 5.. / C4 = 5  => 22 pairs (_) / I4 = 5  =>  0 pairs (X)
A2,A5: 5.. / A2 = 5  => 22 pairs (_) / A5 = 5  =>  0 pairs (X)
C2,C4: 5.. / C2 = 5  =>  0 pairs (X) / C4 = 5  => 22 pairs (_)
A1,B1: 6.. / A1 = 6  =>  0 pairs (X) / B1 = 6  => 17 pairs (_)
C4,A5: 6.. / C4 = 6  =>  0 pairs (X) / A5 = 6  => 22 pairs (_)
C4,I4: 6.. / C4 = 6  =>  0 pairs (X) / I4 = 6  => 22 pairs (_)
A5,D5: 6.. / A5 = 6  => 22 pairs (_) / D5 = 6  =>  0 pairs (X)
B1,B7: 6.. / B1 = 6  => 17 pairs (_) / B7 = 6  =>  0 pairs (X)
A2,A3: 7.. / A2 = 7  =>  0 pairs (X) / A3 = 7  => 16 pairs (_)
D2,D3: 7.. / D2 = 7  => 16 pairs (_) / D3 = 7  =>  0 pairs (X)
F7,F8: 7.. / F7 = 7  => 23 pairs (_) / F8 = 7  => 27 pairs (_)
H7,H8: 7.. / H7 = 7  => 27 pairs (_) / H8 = 7  => 23 pairs (_)
A2,D2: 7.. / A2 = 7  =>  0 pairs (X) / D2 = 7  => 16 pairs (_)
A3,D3: 7.. / A3 = 7  => 16 pairs (_) / D3 = 7  =>  0 pairs (X)
F7,H7: 7.. / F7 = 7  => 23 pairs (_) / H7 = 7  => 27 pairs (_)
F8,H8: 7.. / F8 = 7  => 27 pairs (_) / H8 = 7  => 23 pairs (_)
H2,I2: 8.. / H2 = 8  => 16 pairs (_) / I2 = 8  =>  0 pairs (X)
B5,B6: 8.. / B5 = 8  => 19 pairs (_) / B6 = 8  => 21 pairs (_)
G5,G6: 8.. / G5 = 8  => 21 pairs (_) / G6 = 8  => 19 pairs (_)
D8,D9: 8.. / D8 = 8  =>  0 pairs (X) / D9 = 8  => 15 pairs (_)
B5,G5: 8.. / B5 = 8  => 19 pairs (_) / G5 = 8  => 21 pairs (_)
B6,G6: 8.. / B6 = 8  => 21 pairs (_) / G6 = 8  => 19 pairs (_)
F1,E2: 9.. / F1 = 9  => 24 pairs (_) / E2 = 9  => 27 pairs (_)
H6,I6: 9.. / H6 = 9  => 22 pairs (_) / I6 = 9  => 17 pairs (_)
B7,A9: 9.. / B7 = 9  => 19 pairs (_) / A9 = 9  =>  0 pairs (X)
* DURATION: 0:01:00.441974  START: 04:03:57.548923  END: 04:04:57.990897 2019-05-01
* CP COUNT: (42)
* SOLUTION FOUND

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A5,B2,B5,B6,C4,C7,E2,F1,F5,F8,G5,G6,H1,I4,I8)
* ..835.7.......26......865..24.97831...9.1..471.7..4...8.....4.235....9...72...1..
* PAIR B2: 1,9 BLK 1
B1: 1,9,2,6                              # reduction candidate for 1,9
B1: 1,9 => CTR
* 6.835.724.....26...2..865..2469783155.96132471375248..861...4.235....9...72...1..
B1: 2,6                                  # 16 pairs
B3: 1,9,2                                # reduction candidate for 1,9
B3: 1,9 => CTR
* .2835.79.....926......8652.24.97831...9.1..471.7..4..98615394.235....9...72...1..
B3: 2                                    # 15 pairs
* PAIR B2: 1,9 ROW 2
I2: 1,9,3,4,8                            # reduction candidate for 1,9
I2: 1,9 => CTR
* .6835.72.5.374268.72.1865..2459783166.9.1..471.7..4...8.....4.235.42.9.84728..1..
I2: 3,4,8                                # 15 pairs
* PAIR B2: 1,9 COL B
B7: 1,9,6                                # reduction candidate for 1,9
B7: 6 => CTR
* 6.835.7.4.....26....3.865..2469783155.9.1..471.7..4...8615..4.2354...9..972..31..
B7: 1,9                                  # 17 pairs
* PAIR F1: 1,9 ROW 1
B1: 1,9,2,6                              # reduction candidate for 1,9
B1: 1,9 => CTR
* 6.835.724.....26...2..865..2469783155.96132471375248..861...4.235....9...72...1..
B1: 2,6                                  # 16 pairs
I1: 1,9,4                                # reduction candidate for 1,9
I1: 1,9                                  # 24 pairs
* PAIR F1: 1,9 COL F
F7: 1,9,3,5,7                            # reduction candidate for 1,9
F7: 1,9 => CTR
* ..835.7.......26......865..24.97831...9.1..471.7..4...8..53.47235...79...72..91..
F7: 3,5,7                                # 15 pairs
* PAIR E2: 4,9 ROW 2
A2: 4,9,5,7                              # reduction candidate for 4,9
A2: 4,9 => CTR
* ..835.7....57.26..7.3.865..2469783155.96132471375248..8.1...4.235....9...72...1..
A2: 5,7                                  # 16 pairs
I2: 4,9,1,3,8                            # reduction candidate for 4,9
I2: 4,9 => CTR
* .6835.72.5137.268.7241865..2459783166.9.1..471.7..4...89....4.235.42.9.84728..1..
I2: 1,3,8                                # 15 pairs
* PAIR E2: 4,9 COL E
E9: 4,9,3,6                              # reduction candidate for 4,9
E9: 4,9                                  # 18 pairs
E9: 3,6                                  # 18 pairs
* PAIR H1: 2,9 BLK 3
H3: 2,9,3                                # reduction candidate for 2,9
H3: 3                                    # 22 pairs
H3: 2,9                                  # 19 pairs
* PAIR H1: 2,9 ROW 1
B1: 2,9,1,6                              # reduction candidate for 2,9
B1: 2,9 => CTR
* 6.835.7.4.....26......865..2469783155.96132471375248..861...4.235....9...72...1..
B1: 1,6                                  # 16 pairs
* PAIR A5: 5,6 ROW 5
D5: 5,6,2                                # reduction candidate for 5,6
D5: 2                                    # 21 pairs
D5: 5,6                                  # 19 pairs
* PAIR F5: 3,5 COL F
F7: 3,5,1,7,9                            # reduction candidate for 3,5
F7: 3,5                                  # 27 pairs
F9: 3,5,9                                # reduction candidate for 3,5
F9: 3,5                                  # 16 pairs
* PAIR I4: 5,6 BLK 6
H6: 5,6,9                                # reduction candidate for 5,6
H6: 5,6                                  # 17 pairs
I6: 5,6,9                                # reduction candidate for 5,6
I6: 5,6                                  # 22 pairs
* PAIR I4: 5,6 COL I
I9: 5,6,3,8                              # reduction candidate for 5,6
I9: 5,6                                  # 19 pairs
I9: 3,8                                  # 17 pairs
* PAIR C7: 1,6 BLK 7
B7: 1,6,9                                # reduction candidate for 1,6
B7: 1,6 => CTR
* ..835972.5..7426..72.1865942459783166392158471876342598.659743235482197.972.631..
B7: 9                                    # 19 pairs
C8: 1,6,4                                # reduction candidate for 1,6
C8: 1,6 => SOLVED
* 968351724514792683723486591245978316689513247137624859896135472351247968472869135
C8: 4                                    # 21 pairs
* PAIR C7: 1,6 ROW 7
D7: 1,6,5                                # reduction candidate for 1,6
D7: 5                                    # 21 pairs
D7: 1,6                                  # 19 pairs
* PAIR F8: 1,7 BLK 8
F7: 1,7,3,5,9                            # reduction candidate for 1,7
F7: 3,5,9                                # 27 pairs
F7: 1,7                                  # 24 pairs
* PAIR I8: 6,8 BLK 9
H8: 6,8,7                                # reduction candidate for 6,8
H8: 6,8                                  # 27 pairs
H9: 6,8,3,5                              # reduction candidate for 6,8
H9: 6,8                                  # 27 pairs
I9: 6,8,3,5                              # reduction candidate for 6,8
I9: 6,8 => CTR
* ..835.7.......268.....865..2469783155.96132471375248698.1...4.235....9...72...1..
I9: 3,5                                  # 16 pairs
* PAIR I8: 6,8 ROW 8
D8: 6,8,1,2,4                            # reduction candidate for 6,8
D8: 6,8 => CTR
* ..835972.....426...2..865..2469783155.9613.471.7..4...8....74.2354821976.724..1..
D8: 1,2,4                                # 15 pairs
* INCONCLUSIVE
* SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20190227-absurd-base-pr-000.dot
* REASONING
* DIS # B1: 1,9 => CTR => B1: 2,6
* DIS # B3: 1,9 => CTR => B3: 2
* DIS # I2: 1,9 => CTR => I2: 3,4,8
* DIS # B7: 6 => CTR => B7: 1,9
* DIS # B1: 1,9 => CTR => B1: 2,6
* DIS # F7: 1,9 => CTR => F7: 3,5,7
* DIS # A2: 4,9 => CTR => A2: 5,7
* DIS # I2: 4,9 => CTR => I2: 1,3,8
* DIS # B1: 2,9 => CTR => B1: 1,6
* DIS # B7: 1,6 => CTR => B7: 9
* PRF # C8: 1,6 => SOL
* DIS # I9: 6,8 => CTR => I9: 3,5
* DIS # D8: 6,8 => CTR => D8: 1,2,4
* CNT  13 HDP CHAINS /  45 HYP OPENED

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A5,B2,B5,B6,C4,C7,E2,F1,F5,F8,G5,G6,H1,I4,I8)
* ..835.7.......26......865..24.97831...9.1..471.7..4...8.....4.235....9...72...1..
* PAIR B2: 1,9 BLK 1
B1: 1,9,2,6                              # reduction candidate for 1,9
B1: 1,9 => CTR
* 6.835.724.....26...2..865..2469783155.96132471375248..861...4.235....9...72...1..
B3: 1,9,2                                # reduction candidate for 1,9
B3: 1,9 => CTR
* .2835.79.....926......8652.24.97831...9.1..471.7..4..98615394.235....9...72...1..
* RESTART
* PAIR B2: 1,9 ROW 2
I2: 1,9,3,4,8                            # reduction candidate for 1,9
I2: 1,9 => CTR
* .6835.72.5.374268.72.1865..2459783166.9.1..471.7..4...8.....4.235.42.9.84728..1..
* PAIR RESTART
* PAIR F1: 1,9 ROW 1
I1: 1,9,4                                # reduction candidate for 1,9
I1: 4                                    # 27 pairs
I1: 1,9                                  # 24 pairs
* PAIR F1: 1,9 COL F
F7: 1,9,3,5,7                            # reduction candidate for 1,9
F7: 1,9 => CTR
* .6835.72......26...2..865..24.97831...9.1..471.7..4...8..53.47235...79...72..91..
* PAIR RESTART
* PAIR F1: 1,9 ROW 1
I1: 1,9,4                                # reduction candidate for 1,9
I1: 4                                    # 27 pairs
I1: 1,9                                  # 24 pairs
* PAIR E2: 4,9 ROW 2
A2: 4,9,5,7                              # reduction candidate for 4,9
A2: 4,9 => CTR
* .6835.72...57.26..723.8659.2469783155.96132471375248698.1...4.235....9...72...1..
* PAIR E2: 4,9 COL E
E9: 4,9,3,6                              # reduction candidate for 4,9
E9: 4,9                                  # 22 pairs
E9: 3,6                                  # 21 pairs
* PAIR RESTART
* PAIR E2: 4,9 COL E
E9: 4,9,3,6                              # reduction candidate for 4,9
E9: 4,9                                  # 22 pairs
E9: 3,6                                  # 21 pairs
* PAIR A5: 5,6 ROW 5
D5: 5,6,2                                # reduction candidate for 5,6
D5: 2                                    # 23 pairs
D5: 5,6                                  # 20 pairs
* PAIR F5: 3,5 COL F
F7: 3,5,7                                # reduction candidate for 3,5
F7: 3,5                                  # 28 pairs
F9: 3,5,9                                # reduction candidate for 3,5
F9: 3,5 => CTR
* 468359721....426...2..865.42469783155.9613.471.7..4..98....74.2354821976.724..1..
* RESTART
* PAIR RESTART
* PAIR I4: 5,6 BLK 6
H6: 5,6,9                                # reduction candidate for 5,6
H6: 5,6                                  # 28 pairs
I6: 5,6,9                                # reduction candidate for 5,6
I6: 5,6 => CTR
* .68351729.1..926.492..865.124.97831...9.1..471.7..4...89....47235...79...728.91..
* RESTART
* PAIR C7: 1,6 ROW 7
D7: 1,6,5                                # reduction candidate for 1,6
D7: 5 => CTR
* 968351724.1..926...23.8659124.97831...9.1..471.7..4..98915634723541279..6728491..
* PAIR RESTART

* LEVEL 0 PASS 1 ROUND 2 (AUTO SOLVE) (A2,A3,A5,A9,C2,C4,C7,C8,D2,D3,D5,D7,D8,E6,E8,E9,H2,H6,H8,H9,I2,I4,I8,I9)
* 968351724.1..926...23.8659124.97831..89.13247137..48.989..3547235...79...728.91..
* PAIR D5: 5,6 BLK 5
D6: 5,6,2                                # reduction candidate for 5,6
D6: 5,6 => SOLVED
* 968351724514792683723486591245978316689513247137624859896135472351247968472869135
* DURATION: 0:00:24.335582  START: 04:05:31.769799  END: 04:05:56.105381 2019-05-01
* SOLUTION FOUND
* SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20190227-absurd-base-pr-001.dot
* REASONING
* DIS # B1: 1,9 => CTR => B1: 2,6
* DIS B1: 2,6 # B3: 1,9 => CTR => B3: 2
* DIS B1: 2,6 + B3: 2 # I2: 1,9 => CTR => I2: 3,4,8
* DIS B1: 2,6 + B3: 2 + I2: 3,4,8 # F7: 1,9 => CTR => F7: 3,5,7
* DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 # A2: 4,9 => CTR => A2: 5,7
* DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # F9: 3,5 => CTR => F9: 9
* DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 # I6: 5,6 => CTR => I6: 9
* DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 # D7: 5 => CTR => D7: 1,6
* PRF B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 + D7: 1,6 # D6: 5,6 => SOL
* STA B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 + D7: 1,6 + D6: 5,6
* CNT   9 HDP CHAINS /  22 HYP OPENED

Header Info

http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Feb&YEAR=2019, 20190227, absurd

Solution

position: 968351724514792683723486591245978316689513247137624859896135472351247968472869135 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: 1,9 => CTR => B1: 2,6
* INC # B1: 2,6 => UNS
* DIS # B3: 1,9 => CTR => B3: 2
* INC # B3: 2 => UNS
* DIS # I2: 1,9 => CTR => I2: 3,4,8
* INC # I2: 3,4,8 => UNS
* INC # B7: 1,9 => UNS
* DIS # B7: 6 => CTR => B7: 1,9
* DIS # B1: 1,9 => CTR => B1: 2,6
* INC # B1: 2,6 => UNS
* INC # I1: 1,9 => UNS
* DIS # F7: 1,9 => CTR => F7: 3,5,7
* INC # F7: 3,5,7 => UNS
* DIS # A2: 4,9 => CTR => A2: 5,7
* INC # A2: 5,7 => UNS
* DIS # I2: 4,9 => CTR => I2: 1,3,8
* INC # I2: 1,3,8 => UNS
* INC # E9: 4,9 => UNS
* INC # E9: 3,6 => UNS
* INC # H3: 2,9 => UNS
* INC # H3: 3 => UNS
* DIS # B1: 2,9 => CTR => B1: 1,6
* INC # B1: 1,6 => UNS
* INC # D5: 5,6 => UNS
* INC # D5: 2 => UNS
* INC # F7: 3,5 => UNS
* INC # F9: 3,5 => UNS
* INC # H6: 5,6 => UNS
* INC # I6: 5,6 => UNS
* INC # I9: 5,6 => UNS
* INC # I9: 3,8 => UNS
* DIS # B7: 1,6 => CTR => B7: 9
* INC # B7: 9 => UNS
* PRF # C8: 1,6 => SOL
* INC # C8: 4 => UNS
* INC # D7: 1,6 => UNS
* INC # D7: 5 => UNS
* INC # F7: 1,7 => UNS
* INC # F7: 3,5,9 => UNS
* INC # H8: 6,8 => UNS
* INC # H9: 6,8 => UNS
* DIS # I9: 6,8 => CTR => I9: 3,5
* INC # I9: 3,5 => UNS
* DIS # D8: 6,8 => CTR => D8: 1,2,4
* INC # D8: 1,2,4 => UNS
* CNT  45 HDP CHAINS /  45 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* DIS # B1: 1,9 => CTR => B1: 2,6
* DIS B1: 2,6 # B3: 1,9 => CTR => B3: 2
* DIS B1: 2,6 + B3: 2 # I2: 1,9 => CTR => I2: 3,4,8
* INC B1: 2,6 + B3: 2 + I2: 3,4,8 # I1: 1,9 => UNS
* INC B1: 2,6 + B3: 2 + I2: 3,4,8 # I1: 4 => UNS
* DIS B1: 2,6 + B3: 2 + I2: 3,4,8 # F7: 1,9 => CTR => F7: 3,5,7
* INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 # I1: 1,9 => UNS
* INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 # I1: 4 => UNS
* DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 # A2: 4,9 => CTR => A2: 5,7
* INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # E9: 4,9 => UNS
* INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # E9: 3,6 => UNS
* INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # E9: 4,9 => UNS
* INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # E9: 3,6 => UNS
* INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # D5: 5,6 => UNS
* INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # D5: 2 => UNS
* INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # F7: 3,5 => UNS
* DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # F9: 3,5 => CTR => F9: 9
* INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 # H6: 5,6 => UNS
* DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 # I6: 5,6 => CTR => I6: 9
* INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 # D7: 1,6 => UNS
* DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 # D7: 5 => CTR => D7: 1,6
* PRF B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 + D7: 1,6 # D6: 5,6 => SOL
* STA B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 + D7: 1,6 + D6: 5,6
* CNT  22 HDP CHAINS /  22 HYP OPENED