Analysis of zz-www.sudokuoftheday.co.uk-20060523-absurd-base.sdk

Contents

Sudoku from http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=May&YEAR=2006

level: medium

Sudoku from http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=May&YEAR=2006

position: 53..7..9........4..1.8....7..1.......7...........65..2.....12.4..72...39.69.3.1.. initial

Autosolve

position: 53..7..9.7......4..1.8...27..1.......7...........65..2....912.41472...39269.3.1.. autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

The following important HDP chains were detected:

* DIS # F3: 4,9 => CTR => F3: 3,6
* DIS # C1: 2,8 => CTR => C1: 4,6
* DIS # F3: 4,6 => CTR => F3: 3,9
* DIS # I1: 6,8 => CTR => I1: 1
* DIS # G2: 6,8 => CTR => G2: 3,5
* DIS # I2: 6,8 => CTR => I2: 1,5
* DIS # G8: 6,8 => CTR => G8: 5
* DIS # G6: 4,9 => CTR => G6: 7
* DIS # G8: 6 => CTR => G8: 5,8
* DIS # G8: 6,8 => CTR => G8: 5
* DIS # H9: 5,8 => CTR => H9: 7
* DIS # I4: 5,8 => CTR => I4: 3,6
* DIS # I5: 5,8 => CTR => I5: 3,6
* CNT  13 HDP CHAINS /  51 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 # F3: 4,9 => CTR => F3: 3,6
* DIS F3: 3,6 # C1: 2,8 => CTR => C1: 4,6
* DIS F3: 3,6 + C1: 4,6 # I1: 6,8 => CTR => I1: 1
* DIS F3: 3,6 + C1: 4,6 + I1: 1 # G4: 7 => CTR => G4: 4,9
* DIS F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 # A6: 3,8 => CTR => A6: 4
* DIS F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 + A6: 4 # C7: 5 => CTR => C7: 3,8
* DIS F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 + A6: 4 + C7: 3,8 # H9: 5,8 => CTR => H9: 7
* PRF F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 + A6: 4 + C7: 3,8 + H9: 7 => SOL
* STA F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 + A6: 4 + C7: 3,8 + H9: 7
* CNT   8 HDP CHAINS /  20 HYP OPENED

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

Details

Positions

53..7..9........4..1.8....7..1.......7...........65..2.....12.4..72...39.69.3.1.. initial
53..7..9.7......4..1.8...27..1.......7...........65..2....912.41472...39269.3.1.. autosolve
536472891782619345914853627821347956675928413493165782358791264147286539269534178 solved

Classification

level: medium

Pairing Analysis

--------------------------------------------------
* PAIRS (16)
A3: 4,9
C3: 4,6
E3: 4,5
G1: 6,8
B4: 2,5
C5: 2,5
B6: 8,9
G5: 4,9
H6: 1,8
A7: 3,8
B7: 5,8
D7: 6,7
E8: 5,8
F8: 6,8
H7: 6,7
I9: 5,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I1,I2: 1.. / I1 = 1  => 17 pairs (_) / I2 = 1  =>  0 pairs (X)
H5,H6: 1.. / H5 = 1  => 20 pairs (_) / H6 = 1  => 15 pairs (_)
D1,I1: 1.. / D1 = 1  =>  0 pairs (X) / I1 = 1  => 17 pairs (_)
D6,H6: 1.. / D6 = 1  => 20 pairs (_) / H6 = 1  => 15 pairs (_)
E2,E5: 1.. / E2 = 1  => 17 pairs (_) / E5 = 1  => 16 pairs (_)
B4,C5: 2.. / B4 = 2  => 18 pairs (_) / C5 = 2  => 15 pairs (_)
C1,F1: 2.. / C1 = 2  =>  0 pairs (X) / F1 = 2  => 17 pairs (_)
B2,B4: 2.. / B2 = 2  => 15 pairs (_) / B4 = 2  => 18 pairs (_)
G2,G3: 3.. / G2 = 3  => 18 pairs (_) / G3 = 3  =>  0 pairs (X)
I4,I5: 3.. / I4 = 3  => 16 pairs (_) / I5 = 3  => 16 pairs (_)
A7,C7: 3.. / A7 = 3  => 17 pairs (_) / C7 = 3  => 17 pairs (_)
F3,G3: 3.. / F3 = 3  => 18 pairs (_) / G3 = 3  =>  0 pairs (X)
C6,C7: 3.. / C6 = 3  => 17 pairs (_) / C7 = 3  => 17 pairs (_)
D9,F9: 4.. / D9 = 4  =>  0 pairs (X) / F9 = 4  => 21 pairs (_)
B4,C5: 5.. / B4 = 5  => 15 pairs (_) / C5 = 5  => 18 pairs (_)
B7,C7: 5.. / B7 = 5  => 18 pairs (_) / C7 = 5  => 15 pairs (_)
E8,D9: 5.. / E8 = 5  =>  0 pairs (X) / D9 = 5  => 24 pairs (_)
E3,G3: 5.. / E3 = 5  => 24 pairs (_) / G3 = 5  =>  0 pairs (X)
E8,G8: 5.. / E8 = 5  =>  0 pairs (X) / G8 = 5  => 24 pairs (_)
B4,B7: 5.. / B4 = 5  => 15 pairs (_) / B7 = 5  => 18 pairs (_)
C5,C7: 5.. / C5 = 5  => 18 pairs (_) / C7 = 5  => 15 pairs (_)
D2,D9: 5.. / D2 = 5  =>  0 pairs (X) / D9 = 5  => 24 pairs (_)
A4,A5: 6.. / A4 = 6  => 17 pairs (_) / A5 = 6  => 16 pairs (_)
D7,F8: 6.. / D7 = 6  =>  0 pairs (X) / F8 = 6  => 22 pairs (_)
H7,G8: 6.. / H7 = 6  => 22 pairs (_) / G8 = 6  =>  0 pairs (X)
D7,H7: 6.. / D7 = 6  =>  0 pairs (X) / H7 = 6  => 22 pairs (_)
F8,G8: 6.. / F8 = 6  => 22 pairs (_) / G8 = 6  =>  0 pairs (X)
G4,G6: 7.. / G4 = 7  =>  0 pairs (X) / G6 = 7  => 17 pairs (_)
H7,H9: 7.. / H7 = 7  =>  0 pairs (X) / H9 = 7  => 22 pairs (_)
D6,G6: 7.. / D6 = 7  =>  0 pairs (X) / G6 = 7  => 17 pairs (_)
D7,H7: 7.. / D7 = 7  => 22 pairs (_) / H7 = 7  =>  0 pairs (X)
F4,F9: 7.. / F4 = 7  => 18 pairs (_) / F9 = 7  =>  0 pairs (X)
B2,A3: 9.. / B2 = 9  =>  0 pairs (X) / A3 = 9  => 17 pairs (_)
A3,F3: 9.. / A3 = 9  => 17 pairs (_) / F3 = 9  =>  0 pairs (X)
B2,B6: 9.. / B2 = 9  =>  0 pairs (X) / B6 = 9  => 17 pairs (_)
* DURATION: 0:00:42.163189  START: 23:20:48.094933  END: 23:21:30.258122 2019-04-30
* CP COUNT: (35)
* CLUE FOUND

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A3,A7,B4,B6,B7,C3,C5,D7,E3,E8,F8,G1,G5,H6,H7,I9)
* 53..7..9.7......4..1.8...27..1.......7...........65..2....912.41472...39269.3.1..
* PAIR A3: 4,9 ROW 3
F3: 4,9,3,6                              # reduction candidate for 4,9
F3: 4,9 => CTR
* 538472691792613845416859327.21.4795..75.2841..84.657.2..3791264147286539269534178
F3: 3,6                                  # 18 pairs
* PAIR A3: 4,9 COL A
A4: 4,9,3,6,8                            # reduction candidate for 4,9
A4: 4,9                                  # 18 pairs
A5: 4,9,3,6,8                            # reduction candidate for 4,9
A5: 4,9                                  # 19 pairs
A6: 4,9,3,8                              # reduction candidate for 4,9
A6: 4,9                                  # 19 pairs
* PAIR C3: 4,6 BLK 1
C1: 4,6,2,8                              # reduction candidate for 4,6
C1: 2,8 => CTR
* 5384726917.2613845416859327.21.4795..75.2841...41657828.3791264147286539269534178
C1: 4,6                                  # 20 pairs
* PAIR C3: 4,6 ROW 3
F3: 4,6,3,9                              # reduction candidate for 4,6
F3: 4,6 => CTR
* 53..7..9.7......4.91.85.327..1.......7........9..65..2....912.41472865392695341..
F3: 3,9                                  # 17 pairs
* PAIR G1: 6,8 BLK 3
I1: 6,8,1                                # reduction candidate for 6,8
I1: 6,8 => CTR
* 53.17..9.7..52..41.1.84.527.21.8.....75.1........65.12....912.414725..39269.3.1..
I1: 1                                    # 17 pairs
G2: 6,8,3,5                              # reduction candidate for 6,8
G2: 6,8 => CTR
* 538472691792613845416859327.21.4795..75.2841..84.657.2..3791264147286539269534178
G2: 3,5                                  # 17 pairs
I2: 6,8,1,5                              # reduction candidate for 6,8
I2: 6,8 => CTR
* 5346728917..51.346916843527..1.......7...........65..2....912.414725..39269.3.1..
I2: 1,5                                  # 17 pairs
* PAIR G1: 6,8 ROW 1
C1: 6,8,2,4                              # reduction candidate for 6,8
C1: 6,8                                  # 24 pairs
C1: 2,4                                  # 17 pairs
* PAIR G1: 6,8 COL G
G8: 6,8,5                                # reduction candidate for 6,8
G8: 6,8 => CTR
* 5346728917..51934.916843527..1.......7........9..65..2....912.414725..39269.3.1..
G8: 5                                    # 24 pairs
* PAIR B6: 8,9 BLK 4
A4: 8,9,3,4,6                            # reduction candidate for 8,9
A4: 8,9                                  # 20 pairs
A5: 8,9,3,4,6                            # reduction candidate for 8,9
A5: 8,9                                  # 21 pairs
A6: 8,9,3,4                              # reduction candidate for 8,9
A6: 8,9                                  # 18 pairs
* PAIR B6: 8,9 COL B
B2: 8,9,2                                # reduction candidate for 8,9
B2: 8,9                                  # 18 pairs
B2: 2                                    # 15 pairs
* PAIR G5: 4,9 BLK 6
G4: 4,9,7                                # reduction candidate for 4,9
G4: 4,9                                  # 17 pairs
G6: 4,9,7                                # reduction candidate for 4,9
G6: 4,9 => CTR
* 53.17.8967..52.341.1.84..27..1...7...7..........765.12...6912741472586392694371..
G6: 7                                    # 17 pairs
* PAIR G5: 4,9 ROW 5
A5: 4,9,3,6,8                            # reduction candidate for 4,9
A5: 4,9                                  # 19 pairs
D5: 4,9,1,3                              # reduction candidate for 4,9
D5: 4,9                                  # 17 pairs
F5: 4,9,2,3,8                            # reduction candidate for 4,9
F5: 4,9                                  # 18 pairs
* PAIR H6: 1,8 BLK 6
H5: 1,8,5,6                              # reduction candidate for 1,8
H5: 1,8                                  # 19 pairs
H5: 5,6                                  # 16 pairs
* PAIR A7: 3,8 BLK 7
C7: 3,8,5                                # reduction candidate for 3,8
C7: 3,8                                  # 18 pairs
C7: 5                                    # 15 pairs
* PAIR A7: 3,8 COL A
A4: 3,8,4,6,9                            # reduction candidate for 3,8
A4: 3,8                                  # 20 pairs
A5: 3,8,4,6,9                            # reduction candidate for 3,8
A5: 3,8                                  # 21 pairs
A6: 3,8,4,9                              # reduction candidate for 3,8
A6: 3,8                                  # 16 pairs
* PAIR B7: 5,8 BLK 7
C7: 5,8,3                                # reduction candidate for 5,8
C7: 5,8                                  # 17 pairs
C7: 3                                    # 17 pairs
* PAIR E8: 5,8 ROW 8
G8: 5,8,6                                # reduction candidate for 5,8
G8: 6 => CTR
* 53417289.7..5..34..1.843527..1.......7...........65..2...691274147258639269.3.1..
G8: 5,8                                  # 22 pairs
* PAIR F8: 6,8 ROW 8
G8: 6,8,5                                # reduction candidate for 6,8
G8: 6,8 => CTR
* 5346728917..51934.916843527..1.......7........9..65..2....912.414725..39269.3.1..
G8: 5                                    # 24 pairs
* PAIR I9: 5,8 BLK 9
G8: 5,8,6                                # reduction candidate for 5,8
G8: 5,8                                  # 22 pairs
H9: 5,8,7                                # reduction candidate for 5,8
H9: 5,8 => CTR
* 53417289.7..5..34..1.843527..1.......7...........65..2...691274147258639269.3.1..
H9: 7                                    # 22 pairs
* PAIR I9: 5,8 COL I
I2: 5,8,1,6                              # reduction candidate for 5,8
I2: 5,8                                  # 23 pairs
I4: 5,8,3,6                              # reduction candidate for 5,8
I4: 5,8 => CTR
* 53417289.7..5..34..1.843527..1.......7......3....65..2...691274147258639269.3.1..
I4: 3,6                                  # 17 pairs
I5: 5,8,3,6                              # reduction candidate for 5,8
I5: 5,8 => CTR
* 53417289.7..5..34..1.843527..1.....3.7...........65..2...691274147258639269.3.1..
I5: 3,6                                  # 17 pairs
* INCONCLUSIVE
* SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20060523-absurd-base-pr-000.dot
* REASONING
* DIS # F3: 4,9 => CTR => F3: 3,6
* DIS # C1: 2,8 => CTR => C1: 4,6
* DIS # F3: 4,6 => CTR => F3: 3,9
* DIS # I1: 6,8 => CTR => I1: 1
* DIS # G2: 6,8 => CTR => G2: 3,5
* DIS # I2: 6,8 => CTR => I2: 1,5
* DIS # G8: 6,8 => CTR => G8: 5
* DIS # G6: 4,9 => CTR => G6: 7
* DIS # G8: 6 => CTR => G8: 5,8
* DIS # G8: 6,8 => CTR => G8: 5
* DIS # H9: 5,8 => CTR => H9: 7
* DIS # I4: 5,8 => CTR => I4: 3,6
* DIS # I5: 5,8 => CTR => I5: 3,6
* CNT  13 HDP CHAINS /  51 HYP OPENED

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A3,A7,B4,B6,B7,C3,C5,D7,E3,E8,F8,G1,G5,H6,H7,I9)
* 53..7..9.7......4..1.8...27..1.......7...........65..2....912.41472...39269.3.1..
* PAIR A3: 4,9 ROW 3
F3: 4,9,3,6                              # reduction candidate for 4,9
F3: 4,9 => CTR
* 538472691792613845416859327.21.4795..75.2841..84.657.2..3791264147286539269534178
* PAIR RESTART
* PAIR C3: 4,6 BLK 1
C1: 4,6,2,8                              # reduction candidate for 4,6
C1: 2,8 => CTR
* 53.472.917.6.1..45914853627..1..7....72.4895..9..65712..5791264147286539269534178
* PAIR G1: 6,8 BLK 3
I1: 6,8,1                                # reduction candidate for 6,8
I1: 6,8 => CTR
* 53.172.9.7...5..4191.84.527..1.......7..1.....9..65.12....912.4147286.39269.3.1..
* PAIR G5: 4,9 BLK 6
G4: 4,9,7                                # reduction candidate for 4,9
G4: 7 => CTR
* 5364728917......4691485..27..1...7...7....9...9.765412...6912741472.8639269.371..
* PAIR G5: 4,9 ROW 5
D5: 4,9,1,3                              # reduction candidate for 4,9
D5: 4,9                                  # 27 pairs
F5: 4,9,3,8                              # reduction candidate for 4,9
F5: 4,9                                  # 26 pairs
* PAIR H6: 1,8 BLK 6
H5: 1,8,5,6                              # reduction candidate for 1,8
H5: 1,8                                  # 26 pairs
H5: 5,6                                  # 25 pairs
* PAIR A7: 3,8 BLK 7
C7: 3,8,5                                # reduction candidate for 3,8
C7: 5                                    # 20 pairs
C7: 3,8                                  # 20 pairs
* PAIR A7: 3,8 COL A
A4: 3,8,4,6                              # reduction candidate for 3,8
A4: 3,8                                  # 26 pairs
A5: 3,8,4,6                              # reduction candidate for 3,8
A5: 3,8                                  # 27 pairs
A6: 3,8,4                                # reduction candidate for 3,8
A6: 3,8 => CTR
* 5346728917......4.916843527..1..7....7........9.465712...7912641472...39269.341..
* PAIR RESTART
* PAIR A7: 3,8 BLK 7
C7: 3,8,5                                # reduction candidate for 3,8
C7: 5 => CTR
* 53647289172851..4.91.8...27.51.2..63672....154931657823856912741472.8639269.3.158
* PAIR A7: 3,8 COL A
A4: 3,8,6                                # reduction candidate for 3,8
A4: 3,8                                  # 25 pairs
A5: 3,8,6                                # reduction candidate for 3,8
A5: 3,8                                  # 23 pairs
* PAIR I9: 5,8 BLK 9
H9: 5,8,7                                # reduction candidate for 5,8
H9: 5,8 => CTR
* 53..72891782.1..4691.8.6327.21.......75.2....49..657.2.5.691274147258639269.3.1..
H9: 7 => SOLVED
* 536472891782619345914853627821347956675928413493165782358791264147286539269534178
* DURATION: 0:00:19.065440  START: 23:22:03.237832  END: 23:22:22.303272 2019-04-30
* SOLUTION FOUND
* SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20060523-absurd-base-pr-001.dot
* REASONING
* DIS # F3: 4,9 => CTR => F3: 3,6
* DIS F3: 3,6 # C1: 2,8 => CTR => C1: 4,6
* DIS F3: 3,6 + C1: 4,6 # I1: 6,8 => CTR => I1: 1
* DIS F3: 3,6 + C1: 4,6 + I1: 1 # G4: 7 => CTR => G4: 4,9
* DIS F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 # A6: 3,8 => CTR => A6: 4
* DIS F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 + A6: 4 # C7: 5 => CTR => C7: 3,8
* DIS F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 + A6: 4 + C7: 3,8 # H9: 5,8 => CTR => H9: 7
* PRF F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 + A6: 4 + C7: 3,8 + H9: 7 => SOL
* STA F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 + A6: 4 + C7: 3,8 + H9: 7
* CNT   8 HDP CHAINS /  20 HYP OPENED

Header Info

http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=May&YEAR=2006, 20060523, absurd

Solution

position: 536472891782619345914853627821347956675928413493165782358791264147286539269534178 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 # F3: 4,9 => CTR => F3: 3,6
* INC # F3: 3,6 => UNS
* INC # A4: 4,9 => UNS
* INC # A5: 4,9 => UNS
* INC # A6: 4,9 => UNS
* INC # C1: 4,6 => UNS
* DIS # C1: 2,8 => CTR => C1: 4,6
* DIS # F3: 4,6 => CTR => F3: 3,9
* INC # F3: 3,9 => UNS
* DIS # I1: 6,8 => CTR => I1: 1
* INC # I1: 1 => UNS
* DIS # G2: 6,8 => CTR => G2: 3,5
* INC # G2: 3,5 => UNS
* DIS # I2: 6,8 => CTR => I2: 1,5
* INC # I2: 1,5 => UNS
* INC # C1: 6,8 => UNS
* INC # C1: 2,4 => UNS
* DIS # G8: 6,8 => CTR => G8: 5
* INC # G8: 5 => UNS
* INC # A4: 8,9 => UNS
* INC # A5: 8,9 => UNS
* INC # A6: 8,9 => UNS
* INC # B2: 8,9 => UNS
* INC # B2: 2 => UNS
* INC # G4: 4,9 => UNS
* DIS # G6: 4,9 => CTR => G6: 7
* INC # G6: 7 => UNS
* INC # A5: 4,9 => UNS
* INC # D5: 4,9 => UNS
* INC # F5: 4,9 => UNS
* INC # H5: 1,8 => UNS
* INC # H5: 5,6 => UNS
* INC # C7: 3,8 => UNS
* INC # C7: 5 => UNS
* INC # A4: 3,8 => UNS
* INC # A5: 3,8 => UNS
* INC # A6: 3,8 => UNS
* INC # C7: 5,8 => UNS
* INC # C7: 3 => UNS
* INC # G8: 5,8 => UNS
* DIS # G8: 6 => CTR => G8: 5,8
* DIS # G8: 6,8 => CTR => G8: 5
* INC # G8: 5 => UNS
* INC # G8: 5,8 => UNS
* DIS # H9: 5,8 => CTR => H9: 7
* INC # H9: 7 => UNS
* INC # I2: 5,8 => UNS
* DIS # I4: 5,8 => CTR => I4: 3,6
* INC # I4: 3,6 => UNS
* DIS # I5: 5,8 => CTR => I5: 3,6
* INC # I5: 3,6 => UNS
* CNT  51 HDP CHAINS /  51 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* DIS # F3: 4,9 => CTR => F3: 3,6
* INC F3: 3,6 # C1: 4,6 => UNS
* DIS F3: 3,6 # C1: 2,8 => CTR => C1: 4,6
* DIS F3: 3,6 + C1: 4,6 # I1: 6,8 => CTR => I1: 1
* INC F3: 3,6 + C1: 4,6 + I1: 1 # G4: 4,9 => UNS
* DIS F3: 3,6 + C1: 4,6 + I1: 1 # G4: 7 => CTR => G4: 4,9
* INC F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 # D5: 4,9 => UNS
* INC F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 # F5: 4,9 => UNS
* INC F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 # H5: 1,8 => UNS
* INC F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 # H5: 5,6 => UNS
* INC F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 # C7: 3,8 => UNS
* INC F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 # C7: 5 => UNS
* INC F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 # A4: 3,8 => UNS
* INC F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 # A5: 3,8 => UNS
* DIS F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 # A6: 3,8 => CTR => A6: 4
* INC F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 + A6: 4 # C7: 3,8 => UNS
* DIS F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 + A6: 4 # C7: 5 => CTR => C7: 3,8
* INC F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 + A6: 4 + C7: 3,8 # A4: 3,8 => UNS
* INC F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 + A6: 4 + C7: 3,8 # A5: 3,8 => UNS
* DIS F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 + A6: 4 + C7: 3,8 # H9: 5,8 => CTR => H9: 7
* PRF F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 + A6: 4 + C7: 3,8 + H9: 7 => SOL
* STA F3: 3,6 + C1: 4,6 + I1: 1 + G4: 4,9 + A6: 4 + C7: 3,8 + H9: 7
* CNT  21 HDP CHAINS /  20 HYP OPENED