# Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=87

level: medium

position: .......9.8....6..5..5.4.6...21.........3....1.....926..3.5.....48.1....9.6..9..8. initial

# Autosolve

position: .......9.8....6..5..5.4.6...216........3....1.5..1926.1395....648.16...956..9.18. autosolve

# Pair Reduction Variants

## Pair Reduction Analysis

The following important HDP chains were detected:

```* DIS # H2: 3,4 => CTR => H2: 1,2,7
* DIS # G1: 4,7 => CTR => G1: 3,8
* DIS # G4: 4,7 => CTR => G4: 3,5,8,9
* DIS # G5: 4,7 => CTR => G5: 5,8,9
* CNT   4 HDP CHAINS /  29 HYP OPENED
```

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

## Pair Reduction

The following important HDP chains were detected:

```* DIS # H2: 3,4 => CTR => H2: 1,2,7
* DIS H2: 1,2,7 # G1: 4,7 => CTR => G1: 3,8
* DIS H2: 1,2,7 + G1: 3,8 # G4: 4,7 => CTR => G4: 3,5,8,9
* DIS H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 # G5: 4,7 => CTR => G5: 5,8,9
* DIS H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 # G2: 3 => CTR => G2: 4,7
* DIS H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 # I1: 3,8 => CTR => I1: 2,4,7
* DIS H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 + I1: 2,4,7 # E1: 2,5,7 => CTR => E1: 3,8
* PRF H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 + I1: 2,4,7 + E1: 3,8 # I3: 2,7 => SOL
* STA H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 + I1: 2,4,7 + E1: 3,8 + I3: 2,7
* CNT   8 HDP CHAINS /  53 HYP OPENED
```

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

# Details

## Positions

 .......9.8....6..5..5.4.6...21.........3....1.....926..3.5.....48.1....9.6..9..8. initial .......9.8....6..5..5.4.6...216........3....1.5..1926.1395....648.16...956..9.18. autosolve 216735894843926715795841632921657348674382951358419267139578426482163579567294183 solved

level: medium

## Pairing Analysis

```--------------------------------------------------
* PAIRS (5)
C2: 3,4
A6: 3,7
C8: 2,7
C9: 2,7
G7: 4,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F1,F3: 1.. / F1 = 1  =>  0 pairs (X) / F3 = 1  =>  7 pairs (_)
H2,H3: 1.. / H2 = 1  =>  6 pairs (_) / H3 = 1  =>  0 pairs (X)
B1,F1: 1.. / B1 = 1  =>  7 pairs (_) / F1 = 1  =>  0 pairs (X)
B2,H2: 1.. / B2 = 1  =>  0 pairs (X) / H2 = 1  =>  6 pairs (_)
A1,A3: 2.. / A1 = 2  =>  7 pairs (_) / A3 = 2  => 11 pairs (_)
E5,F5: 2.. / E5 = 2  => 10 pairs (_) / F5 = 2  =>  6 pairs (_)
C8,C9: 2.. / C8 = 2  =>  5 pairs (_) / C9 = 2  => 11 pairs (_)
E1,E2: 3.. / E1 = 3  => 10 pairs (_) / E2 = 3  =>  0 pairs (X)
F8,F9: 3.. / F8 = 3  =>  8 pairs (_) / F9 = 3  =>  8 pairs (_)
F9,I9: 3.. / F9 = 3  =>  8 pairs (_) / I9 = 3  =>  8 pairs (_)
D6,D9: 4.. / D6 = 4  => 12 pairs (_) / D9 = 4  => 10 pairs (_)
E1,F1: 5.. / E1 = 5  =>  0 pairs (X) / F1 = 5  =>  7 pairs (_)
G8,H8: 5.. / G8 = 5  =>  5 pairs (_) / H8 = 5  => 10 pairs (_)
A1,C1: 6.. / A1 = 6  => 21 pairs (_) / C1 = 6  =>  6 pairs (_)
A5,C5: 6.. / A5 = 6  =>  6 pairs (_) / C5 = 6  => 21 pairs (_)
A1,A5: 6.. / A1 = 6  => 21 pairs (_) / A5 = 6  =>  6 pairs (_)
C1,C5: 6.. / C1 = 6  =>  6 pairs (_) / C5 = 6  => 21 pairs (_)
C8,C9: 7.. / C8 = 7  => 11 pairs (_) / C9 = 7  =>  5 pairs (_)
C5,C6: 8.. / C5 = 8  =>  6 pairs (_) / C6 = 8  => 16 pairs (_)
E7,F7: 8.. / E7 = 8  =>  6 pairs (_) / F7 = 8  =>  6 pairs (_)
D2,D3: 9.. / D2 = 9  =>  5 pairs (_) / D3 = 9  =>  9 pairs (_)
G4,G5: 9.. / G4 = 9  => 15 pairs (_) / G5 = 9  =>  7 pairs (_)
B2,D2: 9.. / B2 = 9  =>  9 pairs (_) / D2 = 9  =>  5 pairs (_)
A4,G4: 9.. / A4 = 9  =>  7 pairs (_) / G4 = 9  => 15 pairs (_)
* DURATION: 0:00:32.800370  START: 04:59:46.781472  END: 05:00:19.581842 2017-05-01
* CP COUNT: (24)
* CLUE FOUND

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A6,C2,C8,C9,G7)
* .......9.8....6..5..5.4.6...216........3....1.5..1926.1395....648.16...956..9.18.
* PAIR C2: 3,4 BLK 1
C1: 3,4,6                                # reduction candidate for 3,4
C1: 3,4                                  # 21 pairs
C1: 6                                    #  6 pairs
* PAIR C2: 3,4 ROW 2
G2: 3,4,7                                # reduction candidate for 3,4
G2: 3,4                                  # 17 pairs
H2: 3,4,1,2,7                            # reduction candidate for 3,4
H2: 3,4 => CTR
* ....3..9.81.9267.5..5.4.61..216........3.2..1.5..1926.1395..42648216...9567294183
H2: 1,2,7                                #  5 pairs
* PAIR C2: 3,4 COL C
C6: 3,4,8                                # reduction candidate for 3,4
C6: 8                                    # 16 pairs
C6: 3,4                                  #  6 pairs
* PAIR A6: 3,7 BLK 4
A4: 3,7,9                                # reduction candidate for 3,7
A4: 3,7                                  # 15 pairs
A4: 9                                    #  7 pairs
* PAIR A6: 3,7 ROW 6
I6: 3,7,4,8                              # reduction candidate for 3,7
I6: 3,7                                  # 14 pairs
I6: 4,8                                  #  7 pairs
* PAIR A6: 3,7 COL A
A1: 3,7,2,6                              # reduction candidate for 3,7
A1: 3,7                                  # 13 pairs
A3: 3,7,2,9                              # reduction candidate for 3,7
A3: 3,7                                  #  9 pairs
* PAIR C8: 2,7 ROW 8
F8: 2,7,3                                # reduction candidate for 2,7
F8: 2,7                                  #  8 pairs
H8: 2,7,3,5                              # reduction candidate for 2,7
H8: 2,7                                  #  8 pairs
* PAIR C9: 2,7 ROW 9
D9: 2,7,4                                # reduction candidate for 2,7
D9: 2,7                                  # 12 pairs
F9: 2,7,3,4                              # reduction candidate for 2,7
F9: 2,7                                  # 14 pairs
I9: 2,7,3,4                              # reduction candidate for 2,7
I9: 2,7                                  # 14 pairs
* PAIR G7: 4,7 BLK 9
H7: 4,7,2                                # reduction candidate for 4,7
H7: 4,7                                  # 16 pairs
I9: 4,7,2,3                              # reduction candidate for 4,7
I9: 4,7                                  # 11 pairs
* PAIR G7: 4,7 ROW 7
F7: 4,7,2,8                              # reduction candidate for 4,7
F7: 4,7                                  #  8 pairs
F7: 2,8                                  #  6 pairs
* PAIR G7: 4,7 COL G
G1: 4,7,3,8                              # reduction candidate for 4,7
G1: 4,7 => CTR
* 2.67354988.4.263.53.5.4.6...216........3....17538192641395....648.16.5.956.49.18.
G1: 3,8                                  #  6 pairs
G2: 4,7,3                                # reduction candidate for 4,7
G2: 4,7                                  #  8 pairs
G4: 4,7,3,5,8,9                          # reduction candidate for 4,7
G4: 4,7 => CTR
* 2.67358948.4.263.53.5.416..9216.....6483.29.17534192681395...2648216.5.9567294183
G4: 3,5,8,9                              #  5 pairs
G5: 4,7,5,8,9                            # reduction candidate for 4,7
G5: 4,7 => CTR
* ......89.8....63.53.5.4.6..7216..9.....3....1.5..1926.1395....648.16.5.956..9.18.
G5: 5,8,9                                #  5 pairs
* INCONCLUSIVE
* SAVE PR GRAPH zz-www.sudokuwiki.org-0087-base-pr-000.dot
* REASONING
* DIS # H2: 3,4 => CTR => H2: 1,2,7
* DIS # G1: 4,7 => CTR => G1: 3,8
* DIS # G4: 4,7 => CTR => G4: 3,5,8,9
* DIS # G5: 4,7 => CTR => G5: 5,8,9
* CNT   4 HDP CHAINS /  29 HYP OPENED

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A6,C2,C8,C9,G7)
* .......9.8....6..5..5.4.6...216........3....1.5..1926.1395....648.16...956..9.18.
* PAIR C2: 3,4 BLK 1
C1: 3,4,6                                # reduction candidate for 3,4
C1: 3,4                                  # 21 pairs
C1: 6                                    #  6 pairs
* PAIR C2: 3,4 ROW 2
G2: 3,4,7                                # reduction candidate for 3,4
G2: 3,4                                  # 17 pairs
H2: 3,4,1,2,7                            # reduction candidate for 3,4
H2: 3,4 => CTR
* ....3..9.81.9267.5..5.4.61..216........3.2..1.5..1926.1395..42648216...9567294183
* RESTART
* PAIR C2: 3,4 ROW 2
G2: 3,4,7                                # reduction candidate for 3,4
G2: 3,4                                  # 17 pairs
G2: 7                                    # 12 pairs
* PAIR C2: 3,4 COL C
C6: 3,4,8                                # reduction candidate for 3,4
C6: 8                                    # 16 pairs
C6: 3,4                                  #  6 pairs
* PAIR RESTART
* PAIR C2: 3,4 BLK 1
C1: 3,4,6                                # reduction candidate for 3,4
C1: 3,4                                  # 21 pairs
C1: 6                                    #  6 pairs
* PAIR C2: 3,4 ROW 2
G2: 3,4,7                                # reduction candidate for 3,4
G2: 3,4                                  # 17 pairs
G2: 7                                    # 12 pairs
* PAIR C2: 3,4 COL C
C6: 3,4,8                                # reduction candidate for 3,4
C6: 8                                    # 16 pairs
C6: 3,4                                  #  6 pairs
* PAIR A6: 3,7 BLK 4
A4: 3,7,9                                # reduction candidate for 3,7
A4: 3,7                                  # 15 pairs
A4: 9                                    #  7 pairs
* PAIR A6: 3,7 ROW 6
I6: 3,7,4,8                              # reduction candidate for 3,7
I6: 3,7                                  # 14 pairs
I6: 4,8                                  #  7 pairs
* PAIR A6: 3,7 COL A
A1: 3,7,2,6                              # reduction candidate for 3,7
A1: 3,7                                  # 13 pairs
A3: 3,7,2,9                              # reduction candidate for 3,7
A3: 3,7                                  #  9 pairs
* PAIR C8: 2,7 ROW 8
F8: 2,7,3                                # reduction candidate for 2,7
F8: 2,7                                  #  8 pairs
H8: 2,7,3,5                              # reduction candidate for 2,7
H8: 2,7                                  #  9 pairs
* PAIR C9: 2,7 ROW 9
D9: 2,7,4                                # reduction candidate for 2,7
D9: 2,7                                  # 13 pairs
F9: 2,7,3,4                              # reduction candidate for 2,7
F9: 2,7                                  # 14 pairs
I9: 2,7,3,4                              # reduction candidate for 2,7
I9: 2,7                                  # 14 pairs
* PAIR G7: 4,7 BLK 9
H7: 4,7,2                                # reduction candidate for 4,7
H7: 4,7                                  # 16 pairs
I9: 4,7,2,3                              # reduction candidate for 4,7
I9: 4,7                                  # 12 pairs
* PAIR G7: 4,7 ROW 7
F7: 4,7,2,8                              # reduction candidate for 4,7
F7: 4,7                                  #  9 pairs
F7: 2,8                                  #  6 pairs
* PAIR G7: 4,7 COL G
G1: 4,7,3,8                              # reduction candidate for 4,7
G1: 4,7 => CTR
* 2.67354988.4.263.53.5.4.6...216........3....17538192641395...4648.16.5.956.49.18.
G2: 4,7,3                                # reduction candidate for 4,7
G2: 4,7                                  #  8 pairs
G4: 4,7,3,5,8,9                          # reduction candidate for 4,7
G4: 4,7 => CTR
* 2.67358948.4.263.53.5.416..9216.....6483.29.17534192681395...2648216.5.9567294183
G5: 4,7,5,8,9                            # reduction candidate for 4,7
G5: 4,7 => CTR
* ......89.8....63.53.5.4.6..7216..9.....3....1.5..1926.1395....648.16.5.956..9.18.
* RESTART
* PAIR G7: 4,7 COL G
G2: 4,7,3                                # reduction candidate for 4,7
G2: 3 => CTR
* .......948....63.53.5.4.6...216........3....17534192681395..4.648.16.759567294183
* PAIR RESTART
* PAIR G7: 4,7 BLK 9
H7: 4,7,2                                # reduction candidate for 4,7
H7: 4,7                                  # 18 pairs
I9: 4,7,2,3                              # reduction candidate for 4,7
I9: 4,7                                  # 14 pairs
* PAIR G7: 4,7 ROW 7
F7: 4,7,2,8                              # reduction candidate for 4,7
F7: 4,7                                  # 12 pairs
F7: 2,8                                  #  9 pairs

* LEVEL 0 PASS 1 ROUND 2 (AUTO SOLVE) (A6,C2,C8,C9,G1,G2,G7,G8)
* .......9.8....6..5..5.4.6...216........3....1.5..1926.1395....648.16...956..9.18.
* PAIR C2: 3,4 BLK 1
C1: 3,4,6                                # reduction candidate for 3,4
C1: 3,4                                  # 21 pairs
C1: 6                                    #  9 pairs
* PAIR C2: 3,4 COL C
C6: 3,4,8                                # reduction candidate for 3,4
C6: 8                                    # 16 pairs
C6: 3,4                                  # 10 pairs
* PAIR G1: 3,8 BLK 3
I1: 3,8,2,4,7                            # reduction candidate for 3,8
I1: 3,8 => CTR
* ....3589.8.3..64.5..5.4.6...216........3....1.5..1926.1395..7.648.16...956..9.18.
I3: 3,8,2,7                              # reduction candidate for 3,8
I3: 3,8                                  #  9 pairs
* RESTART
* PAIR G1: 3,8 BLK 3
I3: 3,8,2,7                              # reduction candidate for 3,8
I3: 2,7                                  # 19 pairs
I3: 3,8                                  #  9 pairs
* PAIR G1: 3,8 ROW 1
E1: 3,8,2,5,7                            # reduction candidate for 3,8
E1: 2,5,7 => CTR
* 2......948.4.367.5..5.4.632.216..34..4.3..951.5.41926.1395..4.648.1635.956..94183
* PAIR G1: 3,8 COL G
G4: 3,8,5,9                              # reduction candidate for 3,8
G4: 3,8                                  # 20 pairs
G4: 5,9                                  # 19 pairs
* PAIR RESTART
* PAIR G1: 3,8 BLK 3
I3: 3,8,2,7                              # reduction candidate for 3,8
I3: 2,7 => SOLVED
* 216735894843926715795841632921657348674382951358419267139578426482163579567294183
* DURATION: 0:00:44.140640  START: 05:00:41.321603  END: 05:01:25.462243 2017-05-01
* SOLUTION FOUND
* SAVE PR GRAPH zz-www.sudokuwiki.org-0087-base-pr-001.dot
* REASONING
* DIS # H2: 3,4 => CTR => H2: 1,2,7
* DIS H2: 1,2,7 # G1: 4,7 => CTR => G1: 3,8
* DIS H2: 1,2,7 + G1: 3,8 # G4: 4,7 => CTR => G4: 3,5,8,9
* DIS H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 # G5: 4,7 => CTR => G5: 5,8,9
* DIS H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 # G2: 3 => CTR => G2: 4,7
* DIS H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 # I1: 3,8 => CTR => I1: 2,4,7
* DIS H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 + I1: 2,4,7 # E1: 2,5,7 => CTR => E1: 3,8
* PRF H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 + I1: 2,4,7 + E1: 3,8 # I3: 2,7 => SOL
* STA H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 + I1: 2,4,7 + E1: 3,8 + I3: 2,7
* CNT   8 HDP CHAINS /  53 HYP OPENED
```

```http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=87
```

# Solution

position: 216735894843926715795841632921657348674382951358419267139578426482163579567294183 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 # C1: 3,4 => UNS
* INC # C1: 6 => UNS
* INC # G2: 3,4 => UNS
* DIS # H2: 3,4 => CTR => H2: 1,2,7
* INC # H2: 1,2,7 => UNS
* INC # C6: 3,4 => UNS
* INC # C6: 8 => UNS
* INC # A4: 3,7 => UNS
* INC # A4: 9 => UNS
* INC # I6: 3,7 => UNS
* INC # I6: 4,8 => UNS
* INC # A1: 3,7 => UNS
* INC # A3: 3,7 => UNS
* INC # F8: 2,7 => UNS
* INC # H8: 2,7 => UNS
* INC # D9: 2,7 => UNS
* INC # F9: 2,7 => UNS
* INC # I9: 2,7 => UNS
* INC # H7: 4,7 => UNS
* INC # I9: 4,7 => UNS
* INC # F7: 4,7 => UNS
* INC # F7: 2,8 => UNS
* DIS # G1: 4,7 => CTR => G1: 3,8
* INC # G1: 3,8 => UNS
* INC # G2: 4,7 => UNS
* DIS # G4: 4,7 => CTR => G4: 3,5,8,9
* INC # G4: 3,5,8,9 => UNS
* DIS # G5: 4,7 => CTR => G5: 5,8,9
* INC # G5: 5,8,9 => UNS
* CNT  29 HDP CHAINS /  29 HYP OPENED
```

## A2. Pair Reduction

Full list of HDP chains traversed:

```* INC # C1: 3,4 => UNS
* INC # C1: 6 => UNS
* INC # G2: 3,4 => UNS
* DIS # H2: 3,4 => CTR => H2: 1,2,7
* INC H2: 1,2,7 # G2: 3,4 => UNS
* INC H2: 1,2,7 # G2: 7 => UNS
* INC H2: 1,2,7 # C6: 3,4 => UNS
* INC H2: 1,2,7 # C6: 8 => UNS
* INC H2: 1,2,7 # C1: 3,4 => UNS
* INC H2: 1,2,7 # C1: 6 => UNS
* INC H2: 1,2,7 # G2: 3,4 => UNS
* INC H2: 1,2,7 # G2: 7 => UNS
* INC H2: 1,2,7 # C6: 3,4 => UNS
* INC H2: 1,2,7 # C6: 8 => UNS
* INC H2: 1,2,7 # A4: 3,7 => UNS
* INC H2: 1,2,7 # A4: 9 => UNS
* INC H2: 1,2,7 # I6: 3,7 => UNS
* INC H2: 1,2,7 # I6: 4,8 => UNS
* INC H2: 1,2,7 # A1: 3,7 => UNS
* INC H2: 1,2,7 # A3: 3,7 => UNS
* INC H2: 1,2,7 # F8: 2,7 => UNS
* INC H2: 1,2,7 # H8: 2,7 => UNS
* INC H2: 1,2,7 # D9: 2,7 => UNS
* INC H2: 1,2,7 # F9: 2,7 => UNS
* INC H2: 1,2,7 # I9: 2,7 => UNS
* INC H2: 1,2,7 # H7: 4,7 => UNS
* INC H2: 1,2,7 # I9: 4,7 => UNS
* INC H2: 1,2,7 # F7: 4,7 => UNS
* INC H2: 1,2,7 # F7: 2,8 => UNS
* DIS H2: 1,2,7 # G1: 4,7 => CTR => G1: 3,8
* INC H2: 1,2,7 + G1: 3,8 # G2: 4,7 => UNS
* DIS H2: 1,2,7 + G1: 3,8 # G4: 4,7 => CTR => G4: 3,5,8,9
* DIS H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 # G5: 4,7 => CTR => G5: 5,8,9
* INC H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 # G2: 4,7 => UNS
* DIS H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 # G2: 3 => CTR => G2: 4,7
* INC H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 # H7: 4,7 => UNS
* INC H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 # I9: 4,7 => UNS
* INC H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 # F7: 4,7 => UNS
* INC H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 # F7: 2,8 => UNS
* INC H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 # C1: 3,4 => UNS
* INC H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 # C1: 6 => UNS
* INC H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 # C6: 3,4 => UNS
* INC H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 # C6: 8 => UNS
* DIS H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 # I1: 3,8 => CTR => I1: 2,4,7
* INC H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 + I1: 2,4,7 # I3: 3,8 => UNS
* INC H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 + I1: 2,4,7 # I3: 3,8 => UNS
* INC H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 + I1: 2,4,7 # I3: 2,7 => UNS
* INC H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 + I1: 2,4,7 # E1: 3,8 => UNS
* DIS H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 + I1: 2,4,7 # E1: 2,5,7 => CTR => E1: 3,8
* INC H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 + I1: 2,4,7 + E1: 3,8 # G4: 3,8 => UNS
* INC H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 + I1: 2,4,7 + E1: 3,8 # G4: 5,9 => UNS
* INC H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 + I1: 2,4,7 + E1: 3,8 # I3: 3,8 => UNS
* PRF H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 + I1: 2,4,7 + E1: 3,8 # I3: 2,7 => SOL
* STA H2: 1,2,7 + G1: 3,8 + G4: 3,5,8,9 + G5: 5,8,9 + G2: 4,7 + I1: 2,4,7 + E1: 3,8 + I3: 2,7
* CNT  53 HDP CHAINS /  53 HYP OPENED
```