# Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=39

level: medium

position: ..24.....8....6...4.17....9.....9..6..7.1.5..2..3.....9.....6.3...2....4.....52.. initial

# Autosolve

position: ..24.....8....6...4.17....9.....9..6..7.1.5..2..3.....92....6.3...2....4.....52.. autosolve

# Pair Reduction Variants

## Pair Reduction Analysis

The following important HDP chains were detected:

```* DIS # F3: 3,8 => CTR => F3: 2
* DIS # B5: 3,6 => CTR => B5: 4,8,9
* DIS # E4: 5,8 => CTR => E4: 2,4,7
* DIS # B5: 6,8 => CTR => B5: 3,4,9
* DIS # D9: 6,8 => CTR => D9: 1,9
* DIS # D9: 1,8 => CTR => D9: 6,9
* CNT   6 HDP CHAINS /  34 HYP OPENED
```

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

## Pair Reduction

The following important HDP chains were detected:

```* DIS # F3: 3,8 => CTR => F3: 2
* DIS F3: 2 # B5: 3,6 => CTR => B5: 4,8,9
* DIS F3: 2 + B5: 4,8,9 # D9: 6,8 => CTR => D9: 1,9
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 # F8: 1,8 => CTR => F8: 3,7
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 # F7: 4,7 => CTR => F7: 1,8
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 # H3: 3,8 => CTR => H3: 6
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 # B4: 1,5 => CTR => B4: 4,8
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 + B4: 4,8 # B6: 8,9 => CTR => B6: 5,6
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 + B4: 4,8 + B6: 5,6 # C6: 8,9 => CTR => C6: 5,6
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 + B4: 4,8 + B6: 5,6 + C6: 5,6 # F6: 4,8 => CTR => F6: 7
* PRF F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 + B4: 4,8 + B6: 5,6 + C6: 5,6 + F6: 7 # G1: 3,7 => SOL
* STA F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 + B4: 4,8 + B6: 5,6 + C6: 5,6 + F6: 7 + G1: 3,7
* CNT  11 HDP CHAINS /  49 HYP OPENED
```

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

# Details

## Positions

 ..24.....8....6...4.17....9.....9..6..7.1.5..2..3.....9.....6.3...2....4.....52.. initial ..24.....8....6...4.17....9.....9..6..7.1.5..2..3.....92....6.3...2....4.....52.. autosolve 562498317879136425431752869148529736397614582256387941924871653785263194613945278 solved

level: medium

## Pairing Analysis

```--------------------------------------------------
* PAIRS (6)
G3: 3,8
A5: 3,6
D4: 5,8
D5: 6,8
I5: 2,8
D7: 1,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F1,D2: 1.. / F1 = 1  =>  7 pairs (_) / D2 = 1  => 14 pairs (_)
E4,F5: 2.. / E4 = 2  =>  8 pairs (_) / F5 = 2  =>  0 pairs (X)
E4,H4: 2.. / E4 = 2  =>  8 pairs (_) / H4 = 2  =>  0 pairs (X)
F3,F5: 2.. / F3 = 2  =>  8 pairs (_) / F5 = 2  =>  0 pairs (X)
I2,I5: 2.. / I2 = 2  => 14 pairs (_) / I5 = 2  =>  7 pairs (_)
G2,H2: 4.. / G2 = 4  =>  6 pairs (_) / H2 = 4  =>  6 pairs (_)
I1,I2: 5.. / I1 = 5  =>  6 pairs (_) / I2 = 5  =>  0 pairs (*)
H7,H8: 5.. / H7 = 5  =>  8 pairs (_) / H8 = 5  =>  7 pairs (_)
B3,E3: 5.. / B3 = 5  =>  7 pairs (_) / E3 = 5  =>  8 pairs (_)
C7,H7: 5.. / C7 = 5  =>  7 pairs (_) / H7 = 5  =>  8 pairs (_)
D2,D4: 5.. / D2 = 5  => 20 pairs (_) / D4 = 5  =>  7 pairs (_)
H1,H3: 6.. / H1 = 6  =>  7 pairs (_) / H3 = 6  =>  7 pairs (_)
D5,E6: 6.. / D5 = 6  =>  8 pairs (_) / E6 = 6  =>  0 pairs (X)
B3,H3: 6.. / B3 = 6  =>  7 pairs (_) / H3 = 6  =>  7 pairs (_)
D5,D9: 6.. / D5 = 6  =>  8 pairs (_) / D9 = 6  =>  0 pairs (X)
B1,E1: 9.. / B1 = 9  =>  0 pairs (X) / E1 = 9  =>  9 pairs (_)
B5,H5: 9.. / B5 = 9  =>  8 pairs (_) / H5 = 9  =>  0 pairs (X)
C2,C6: 9.. / C2 = 9  =>  9 pairs (_) / C6 = 9  =>  0 pairs (X)
D2,D9: 9.. / D2 = 9  =>  0 pairs (X) / D9 = 9  =>  9 pairs (_)
G6,G8: 9.. / G6 = 9  => 10 pairs (_) / G8 = 9  =>  6 pairs (_)
* DURATION: 0:00:24.392697  START: 04:10:43.260749  END: 04:11:07.653446 2017-05-01
* CP COUNT: (20)
* SOLUTION FOUND

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A5,D4,D5,D7,G3,I5)
* ..24.....8....6...4.17....9.....9..6..7.1.5..2..3.....92....6.3...2....4.....52..
* PAIR G3: 3,8 BLK 3
G1: 3,8,1,7                              # reduction candidate for 3,8
G1: 3,8                                  #  8 pairs
H1: 3,8,1,6,7                            # reduction candidate for 3,8
H1: 3,8                                  #  9 pairs
H3: 3,8,2,6                              # reduction candidate for 3,8
H3: 3,8                                  # 12 pairs
* PAIR G3: 3,8 ROW 3
E3: 3,8,2,5                              # reduction candidate for 3,8
E3: 3,8                                  # 10 pairs
F3: 3,8,2                                # reduction candidate for 3,8
F3: 3,8 => CTR
* ..2498..58.91564.2451723869...5793263976125482.5384...92.84.6.3...2....4.....52..
F3: 2                                    #  8 pairs
* PAIR G3: 3,8 COL G
G4: 3,8,1,4,7                            # reduction candidate for 3,8
G4: 3,8                                  # 10 pairs
G4: 1,4,7                                #  6 pairs
* PAIR A5: 3,6 BLK 4
B5: 3,6,4,8,9                            # reduction candidate for 3,6
B5: 3,6 => CTR
* 5924.1.6.8739564214617.2..9...52973663781459225936714892.148673..6273954...6952..
B5: 4,8,9                                #  6 pairs
* PAIR A5: 3,6 COL A
A1: 3,6,5,7                              # reduction candidate for 3,6
A1: 3,6                                  #  9 pairs
A8: 3,6,1,5,7                            # reduction candidate for 3,6
A8: 3,6                                  # 10 pairs
A9: 3,6,1,7                              # reduction candidate for 3,6
A9: 3,6                                  #  9 pairs
* PAIR D4: 5,8 BLK 5
E4: 5,8,2,4,7                            # reduction candidate for 5,8
E4: 5,8 => CTR
* ..24.....8....6..24.172...9.....9726..76125382..3.....92....6.3...2....4.....52..
E4: 2,4,7                                #  6 pairs
E6: 5,8,4,6,7                            # reduction candidate for 5,8
E6: 5,8                                  # 11 pairs
* PAIR D4: 5,8 ROW 4
B4: 5,8,1,3,4                            # reduction candidate for 5,8
B4: 5,8                                  #  9 pairs
C4: 5,8,3,4                              # reduction candidate for 5,8
C4: 5,8                                  #  8 pairs
* PAIR D5: 6,8 BLK 5
E6: 6,8,4,5,7                            # reduction candidate for 6,8
E6: 6,8                                  # 10 pairs
E6: 4,5,7                                #  8 pairs
* PAIR D5: 6,8 ROW 5
B5: 6,8,3,4,9                            # reduction candidate for 6,8
B5: 6,8 => CTR
* 6.24.1..587.5.64214517.2.695...29..63.7.145922..3.714892.1786537..2639.4...9452.7
B5: 3,4,9                                #  6 pairs
* PAIR D5: 6,8 COL D
D9: 6,8,1,9                              # reduction candidate for 6,8
D9: 6,8 => CTR
* 592481.678739.6...4.1752..9...529..6..7814592259367...92.148673..6273954...6952..
D9: 1,9                                  #  9 pairs
* PAIR I5: 2,8 BLK 6
H4: 2,8,1,3,4,7                          # reduction candidate for 2,8
H4: 2,8                                  #  8 pairs
H5: 2,8,3,4,9                            # reduction candidate for 2,8
H5: 2,8                                  # 14 pairs
* PAIR I5: 2,8 ROW 5
F5: 2,8,4                                # reduction candidate for 2,8
F5: 2,8                                  #  9 pairs
F5: 4                                    #  8 pairs
* PAIR D7: 1,8 BLK 8
F7: 1,8,4,7                              # reduction candidate for 1,8
F7: 1,8                                  # 12 pairs
F8: 1,8,3,7                              # reduction candidate for 1,8
F8: 1,8                                  # 11 pairs
D9: 1,8,6,9                              # reduction candidate for 1,8
D9: 1,8 => CTR
* ..24.....8..9.6...4.17....9...5.9..6..761.5..2.93.....92....6.3...2..9.4....952..
D9: 6,9                                  #  7 pairs
* PAIR D7: 1,8 ROW 7
H7: 1,8,5,7                              # reduction candidate for 1,8
H7: 1,8                                  # 10 pairs
H7: 5,7                                  #  7 pairs
* INCONCLUSIVE
* SAVE PR GRAPH zz-www.sudokuwiki.org-0039-base-pr-000.dot
* REASONING
* DIS # F3: 3,8 => CTR => F3: 2
* DIS # B5: 3,6 => CTR => B5: 4,8,9
* DIS # E4: 5,8 => CTR => E4: 2,4,7
* DIS # B5: 6,8 => CTR => B5: 3,4,9
* DIS # D9: 6,8 => CTR => D9: 1,9
* DIS # D9: 1,8 => CTR => D9: 6,9
* CNT   6 HDP CHAINS /  34 HYP OPENED

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A5,D4,D5,D7,G3,I5)
* ..24.....8....6...4.17....9.....9..6..7.1.5..2..3.....92....6.3...2....4.....52..
* PAIR G3: 3,8 BLK 3
G1: 3,8,1,7                              # reduction candidate for 3,8
G1: 3,8                                  #  8 pairs
H1: 3,8,1,6,7                            # reduction candidate for 3,8
H1: 3,8                                  #  9 pairs
H3: 3,8,2,6                              # reduction candidate for 3,8
H3: 3,8                                  # 12 pairs
* PAIR G3: 3,8 ROW 3
E3: 3,8,2,5                              # reduction candidate for 3,8
E3: 3,8                                  # 10 pairs
F3: 3,8,2                                # reduction candidate for 3,8
F3: 3,8 => CTR
* ..2498..58.91564.2451723869...5793263976125482.5384...92.84.6.3...2....4.....52..
* RESTART
* PAIR G3: 3,8 ROW 3
E3: 3,8,5                                # reduction candidate for 3,8
E3: 3,8                                  # 10 pairs
H3: 3,8,6                                # reduction candidate for 3,8
H3: 3,8                                  # 12 pairs
* PAIR G3: 3,8 COL G
G4: 3,8,1,4,7                            # reduction candidate for 3,8
G4: 3,8                                  # 10 pairs
G4: 1,4,7                                #  9 pairs
* PAIR RESTART
* PAIR G3: 3,8 BLK 3
G1: 3,8,1,7                              # reduction candidate for 3,8
G1: 3,8                                  # 11 pairs
H1: 3,8,1,6,7                            # reduction candidate for 3,8
H1: 3,8                                  # 11 pairs
H3: 3,8,6                                # reduction candidate for 3,8
H3: 3,8                                  # 12 pairs
* PAIR G3: 3,8 ROW 3
E3: 3,8,5                                # reduction candidate for 3,8
E3: 5                                    # 11 pairs
E3: 3,8                                  # 10 pairs
* PAIR G3: 3,8 COL G
G4: 3,8,1,4,7                            # reduction candidate for 3,8
G4: 3,8                                  # 10 pairs
G4: 1,4,7                                #  9 pairs
* PAIR A5: 3,6 BLK 4
B5: 3,6,4,8,9                            # reduction candidate for 3,6
B5: 3,6 => CTR
* .924.1...8..9.64214.17.2..9...529..6..78145922.9367..892.148673...2.39.4...6952..
* PAIR A5: 3,6 COL A
A1: 3,6,5,7                              # reduction candidate for 3,6
A1: 3,6                                  # 11 pairs
A8: 3,6,1,5,7                            # reduction candidate for 3,6
A8: 3,6                                  # 12 pairs
A9: 3,6,1,7                              # reduction candidate for 3,6
A9: 3,6                                  # 11 pairs
* PAIR D4: 5,8 BLK 5
E6: 5,8,4,6,7                            # reduction candidate for 5,8
E6: 5,8                                  # 17 pairs
E6: 4,6,7                                #  9 pairs
* PAIR D4: 5,8 ROW 4
B4: 5,8,1,3,4                            # reduction candidate for 5,8
B4: 5,8                                  # 11 pairs
C4: 5,8,3,4                              # reduction candidate for 5,8
C4: 5,8                                  # 10 pairs
* PAIR D5: 6,8 BLK 5
E6: 6,8,4,5,7                            # reduction candidate for 6,8
E6: 6,8                                  # 16 pairs
E6: 4,5,7                                # 10 pairs
* PAIR D5: 6,8 COL D
D9: 6,8,1,9                              # reduction candidate for 6,8
D9: 6,8 => CTR
* .924.1...8..9.6...4.17.2..9...529..6..7.1.592259367...92.148673...273954...6952..
* PAIR RESTART
* PAIR I5: 2,8 BLK 6
H5: 2,8,4,9                              # reduction candidate for 2,8
H5: 2,8                                  # 14 pairs
H5: 4,9                                  # 12 pairs
* PAIR D7: 1,8 BLK 8
F7: 1,8,4,7                              # reduction candidate for 1,8
F7: 1,8                                  # 16 pairs
F8: 1,8,3,7                              # reduction candidate for 1,8
F8: 1,8 => CTR
* 5.24.3...8..1.6..54.1752..9148529..639761.5.22563...9.9258..613.832.1954.149352..
* RESTART
* PAIR D7: 1,8 BLK 8
F7: 1,8,4,7                              # reduction candidate for 1,8
F7: 4,7 => CTR
* ..24.1...8..9.6...4.17.2..9...529..63.761.5..2.93.....9258..613...2.3954...1952..

* LEVEL 0 PASS 1 ROUND 2 (AUTO SOLVE) (A4,B5,C7,D2,D4,D7,E7,F5,F7,F8,G3,G4,H4,H7,I5,I6)
* ..24.....8....6...4.17.2..9....29..63.761.5..2..3.....92....6.3...2....4...9.52..
* PAIR D2: 1,5 ROW 2
I2: 1,5,2,7                              # reduction candidate for 1,5
I2: 1,5                                  # 19 pairs
I2: 2,7                                  # 18 pairs
* PAIR G3: 3,8 BLK 3
G1: 3,8,1,7                              # reduction candidate for 3,8
G1: 3,8                                  # 19 pairs
H1: 3,8,1,6,7                            # reduction candidate for 3,8
H1: 3,8                                  # 19 pairs
H3: 3,8,6                                # reduction candidate for 3,8
H3: 3,8 => CTR
* 5324981678791364254617528391..52937639761458225638794192.871653.1.2.3.94..39.5218
* PAIR G3: 3,8 ROW 3
E3: 3,8,5                                # reduction candidate for 3,8
E3: 5                                    # 23 pairs
E3: 3,8                                  # 19 pairs
* PAIR RESTART
* PAIR G3: 3,8 BLK 3
G1: 3,8,1,7                              # reduction candidate for 3,8
G1: 3,8                                  # 19 pairs
H1: 3,8,1,7                              # reduction candidate for 3,8
H1: 3,8                                  # 19 pairs
* PAIR G3: 3,8 ROW 3
E3: 3,8,5                                # reduction candidate for 3,8
E3: 5                                    # 23 pairs
E3: 3,8                                  # 19 pairs
* PAIR A4: 1,5 BLK 4
B4: 1,5,4,8                              # reduction candidate for 1,5
B4: 1,5 => CTR
* ..24.1...8.9536...4517823695148297363.76145..2..357...925148673...2.3954.439.52..
* PAIR B5: 8,9 BLK 4
B6: 8,9,5,6                              # reduction candidate for 8,9
B6: 8,9 => CTR
* .32491875879536...4517823691458297363.76145..2.6357...9241786535182639.4..39452..
C6: 8,9,5,6                              # reduction candidate for 8,9
C6: 8,9 => CTR
* 6.24.1..58.3596..74517.2.691.5829..63.76145..26.357...9241786535..263..47.69452..
* PAIR F5: 4,8 BLK 5
F6: 4,8,7                                # reduction candidate for 4,8
F6: 4,8 => CTR
* 562493...8.91.6...4.17.2.691..529..639761.5..2..37....92.841673...2.7.547..9.52..
* PAIR G4: 3,7 COL G
G1: 3,7,1                                # reduction candidate for 3,7
G1: 3,7 => SOLVED
* 562498317879136425431752869148529736397614582256387941924871653785263194613945278
* DURATION: 0:00:44.115552  START: 04:11:27.557183  END: 04:12:11.672735 2017-05-01
* SOLUTION FOUND
* SAVE PR GRAPH zz-www.sudokuwiki.org-0039-base-pr-001.dot
* REASONING
* DIS # F3: 3,8 => CTR => F3: 2
* DIS F3: 2 # B5: 3,6 => CTR => B5: 4,8,9
* DIS F3: 2 + B5: 4,8,9 # D9: 6,8 => CTR => D9: 1,9
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 # F8: 1,8 => CTR => F8: 3,7
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 # F7: 4,7 => CTR => F7: 1,8
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 # H3: 3,8 => CTR => H3: 6
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 # B4: 1,5 => CTR => B4: 4,8
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 + B4: 4,8 # B6: 8,9 => CTR => B6: 5,6
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 + B4: 4,8 + B6: 5,6 # C6: 8,9 => CTR => C6: 5,6
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 + B4: 4,8 + B6: 5,6 + C6: 5,6 # F6: 4,8 => CTR => F6: 7
* PRF F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 + B4: 4,8 + B6: 5,6 + C6: 5,6 + F6: 7 # G1: 3,7 => SOL
* STA F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 + B4: 4,8 + B6: 5,6 + C6: 5,6 + F6: 7 + G1: 3,7
* CNT  11 HDP CHAINS /  49 HYP OPENED
```

```http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=39
```

# Solution

position: 562498317879136425431752869148529736397614582256387941924871653785263194613945278 solved

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:

```* INC # G1: 3,8 => UNS
* INC # H1: 3,8 => UNS
* INC # H3: 3,8 => UNS
* INC # E3: 3,8 => UNS
* DIS # F3: 3,8 => CTR => F3: 2
* INC # F3: 2 => UNS
* INC # G4: 3,8 => UNS
* INC # G4: 1,4,7 => UNS
* DIS # B5: 3,6 => CTR => B5: 4,8,9
* INC # B5: 4,8,9 => UNS
* INC # A1: 3,6 => UNS
* INC # A8: 3,6 => UNS
* INC # A9: 3,6 => UNS
* DIS # E4: 5,8 => CTR => E4: 2,4,7
* INC # E4: 2,4,7 => UNS
* INC # E6: 5,8 => UNS
* INC # B4: 5,8 => UNS
* INC # C4: 5,8 => UNS
* INC # E6: 6,8 => UNS
* INC # E6: 4,5,7 => UNS
* DIS # B5: 6,8 => CTR => B5: 3,4,9
* INC # B5: 3,4,9 => UNS
* DIS # D9: 6,8 => CTR => D9: 1,9
* INC # D9: 1,9 => UNS
* INC # H4: 2,8 => UNS
* INC # H5: 2,8 => UNS
* INC # F5: 2,8 => UNS
* INC # F5: 4 => UNS
* INC # F7: 1,8 => UNS
* INC # F8: 1,8 => UNS
* DIS # D9: 1,8 => CTR => D9: 6,9
* INC # D9: 6,9 => UNS
* INC # H7: 1,8 => UNS
* INC # H7: 5,7 => UNS
* CNT  34 HDP CHAINS /  34 HYP OPENED
```

## A2. Pair Reduction

Full list of HDP chains traversed:

```* INC # G1: 3,8 => UNS
* INC # H1: 3,8 => UNS
* INC # H3: 3,8 => UNS
* INC # E3: 3,8 => UNS
* DIS # F3: 3,8 => CTR => F3: 2
* INC F3: 2 # E3: 3,8 => UNS
* INC F3: 2 # H3: 3,8 => UNS
* INC F3: 2 # G4: 3,8 => UNS
* INC F3: 2 # G4: 1,4,7 => UNS
* INC F3: 2 # G1: 3,8 => UNS
* INC F3: 2 # H1: 3,8 => UNS
* INC F3: 2 # H3: 3,8 => UNS
* INC F3: 2 # E3: 3,8 => UNS
* INC F3: 2 # E3: 5 => UNS
* INC F3: 2 # G4: 3,8 => UNS
* INC F3: 2 # G4: 1,4,7 => UNS
* DIS F3: 2 # B5: 3,6 => CTR => B5: 4,8,9
* INC F3: 2 + B5: 4,8,9 # A1: 3,6 => UNS
* INC F3: 2 + B5: 4,8,9 # A8: 3,6 => UNS
* INC F3: 2 + B5: 4,8,9 # A9: 3,6 => UNS
* INC F3: 2 + B5: 4,8,9 # E6: 5,8 => UNS
* INC F3: 2 + B5: 4,8,9 # E6: 4,6,7 => UNS
* INC F3: 2 + B5: 4,8,9 # B4: 5,8 => UNS
* INC F3: 2 + B5: 4,8,9 # C4: 5,8 => UNS
* INC F3: 2 + B5: 4,8,9 # E6: 6,8 => UNS
* INC F3: 2 + B5: 4,8,9 # E6: 4,5,7 => UNS
* DIS F3: 2 + B5: 4,8,9 # D9: 6,8 => CTR => D9: 1,9
* INC F3: 2 + B5: 4,8,9 + D9: 1,9 # H5: 2,8 => UNS
* INC F3: 2 + B5: 4,8,9 + D9: 1,9 # H5: 4,9 => UNS
* INC F3: 2 + B5: 4,8,9 + D9: 1,9 # F7: 1,8 => UNS
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 # F8: 1,8 => CTR => F8: 3,7
* INC F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 # F7: 1,8 => UNS
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 # F7: 4,7 => CTR => F7: 1,8
* INC F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 # I2: 1,5 => UNS
* INC F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 # I2: 2,7 => UNS
* INC F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 # G1: 3,8 => UNS
* INC F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 # H1: 3,8 => UNS
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 # H3: 3,8 => CTR => H3: 6
* INC F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 # E3: 3,8 => UNS
* INC F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 # E3: 5 => UNS
* INC F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 # G1: 3,8 => UNS
* INC F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 # H1: 3,8 => UNS
* INC F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 # E3: 3,8 => UNS
* INC F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 # E3: 5 => UNS
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 # B4: 1,5 => CTR => B4: 4,8
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 + B4: 4,8 # B6: 8,9 => CTR => B6: 5,6
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 + B4: 4,8 + B6: 5,6 # C6: 8,9 => CTR => C6: 5,6
* DIS F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 + B4: 4,8 + B6: 5,6 + C6: 5,6 # F6: 4,8 => CTR => F6: 7
* PRF F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 + B4: 4,8 + B6: 5,6 + C6: 5,6 + F6: 7 # G1: 3,7 => SOL
* STA F3: 2 + B5: 4,8,9 + D9: 1,9 + F8: 3,7 + F7: 1,8 + H3: 6 + B4: 4,8 + B6: 5,6 + C6: 5,6 + F6: 7 + G1: 3,7
* CNT  49 HDP CHAINS /  49 HYP OPENED
```