Analysis of xx-top95-064-base.sdk

Contents

Original Sudoku

level: medium

Original Sudoku

position: ..7..8.....6.2.3...3......9.1..5..6.....1.....7.9....2........4.83..4...26....51. initial

Autosolve

position: ..7..8.....6.2.3...3......9.1..5..6.....1.....7.9..1.27.......4.83..4...264...51. autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

The following important HDP chains were detected:

* DIS # A5: 5,8 => CTR => A5: 3,4,6,9
* DIS # A6: 5,8 => CTR => A6: 3,4,6
* DIS # E7: 3 => CTR => E7: 6,8
* CNT   3 HDP CHAINS /  49 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 # A5: 5,8 => CTR => A5: 3,4,6,9
* DIS A5: 3,4,6,9 # A6: 5,8 => CTR => A6: 3,4,6
* DIS A5: 3,4,6,9 + A6: 3,4,6 # E7: 3 => CTR => E7: 6,8
* DIS A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # A6: 4 => CTR => A6: 3,6
* PRF A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 + A6: 3,6 # I5: 3,8 => SOL
* STA A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 + A6: 3,6 + I5: 3,8
* CNT   5 HDP CHAINS /  62 HYP OPENED

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

Details

Positions

..7..8.....6.2.3...3......9.1..5..6.....1.....7.9....2........4.83..4...26....51. initial
..7..8.....6.2.3...3......9.1..5..6.....1.....7.9..1.27.......4.83..4...264...51. autosolve
957638421146729385832541679419352768628417953375986142791265834583174296264893517 solved

Classification

level: medium

Pairing Analysis

--------------------------------------------------
* PAIRS (13)
E3: 4,7
C6: 5,8
F6: 3,6
I4: 3,8
B7: 5,9
A8: 1,5
D8: 1,5
E8: 6,7
G7: 6,8
H7: 3,8
G8: 2,9
H8: 2,9
I8: 6,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I1,I2: 1.. / I1 = 1  => 13 pairs (_) / I2 = 1  => 14 pairs (_)
C7,A8: 1.. / C7 = 1  => 13 pairs (_) / A8 = 1  => 16 pairs (_)
A8,D8: 1.. / A8 = 1  => 16 pairs (_) / D8 = 1  => 13 pairs (_)
C3,C7: 1.. / C3 = 1  => 16 pairs (_) / C7 = 1  => 13 pairs (_)
B1,C3: 2.. / B1 = 2  => 15 pairs (_) / C3 = 2  => 18 pairs (_)
D7,F7: 2.. / D7 = 2  => 14 pairs (_) / F7 = 2  => 20 pairs (_)
G8,H8: 2.. / G8 = 2  => 12 pairs (_) / H8 = 2  => 12 pairs (_)
B1,B5: 2.. / B1 = 2  => 15 pairs (_) / B5 = 2  => 18 pairs (_)
D1,E1: 3.. / D1 = 3  => 15 pairs (_) / E1 = 3  => 20 pairs (_)
H7,I9: 3.. / H7 = 3  => 14 pairs (_) / I9 = 3  =>  0 pairs (X)
E7,H7: 3.. / E7 = 3  =>  0 pairs (X) / H7 = 3  => 14 pairs (_)
A8,D8: 5.. / A8 = 5  => 13 pairs (_) / D8 = 5  => 16 pairs (_)
A5,A6: 6.. / A5 = 6  => 12 pairs (_) / A6 = 6  => 15 pairs (_)
E7,E8: 6.. / E7 = 6  => 13 pairs (_) / E8 = 6  => 13 pairs (_)
G7,I8: 6.. / G7 = 6  => 13 pairs (_) / I8 = 6  => 13 pairs (_)
A6,F6: 6.. / A6 = 6  => 15 pairs (_) / F6 = 6  => 12 pairs (_)
E7,G7: 6.. / E7 = 6  => 13 pairs (_) / G7 = 6  => 13 pairs (_)
E8,I8: 6.. / E8 = 6  => 13 pairs (_) / I8 = 6  => 13 pairs (_)
I1,I8: 6.. / I1 = 6  => 13 pairs (_) / I8 = 6  => 13 pairs (_)
I8,I9: 7.. / I8 = 7  => 13 pairs (_) / I9 = 7  => 13 pairs (_)
E8,I8: 7.. / E8 = 7  => 13 pairs (_) / I8 = 7  => 13 pairs (_)
E1,F2: 9.. / E1 = 9  => 15 pairs (_) / F2 = 9  => 18 pairs (_)
B7,C7: 9.. / B7 = 9  => 14 pairs (_) / C7 = 9  => 17 pairs (_)
E9,F9: 9.. / E9 = 9  => 18 pairs (_) / F9 = 9  => 15 pairs (_)
G8,H8: 9.. / G8 = 9  => 12 pairs (_) / H8 = 9  => 12 pairs (_)
E1,E9: 9.. / E1 = 9  => 15 pairs (_) / E9 = 9  => 18 pairs (_)
F2,F9: 9.. / F2 = 9  => 18 pairs (_) / F9 = 9  => 15 pairs (_)
H5,H8: 9.. / H5 = 9  => 12 pairs (_) / H8 = 9  => 12 pairs (_)
* DURATION: 0:00:43.477094  START: 00:13:34.872606  END: 00:14:18.349700 2017-05-04
* CP COUNT: (28)
* CLUE FOUND

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A8,B7,C6,D8,E3,E8,F6,G7,G8,H7,H8,I4,I8)
* ..7..8.....6.2.3...3......9.1..5..6.....1.....7.9..1.27.......4.83..4...264...51.
* PAIR E3: 4,7 BLK 2
D2: 4,7,1,5                              # reduction candidate for 4,7
D2: 4,7                                  # 15 pairs
D3: 4,7,1,5,6                            # reduction candidate for 4,7
D3: 4,7                                  # 18 pairs
* PAIR E3: 4,7 ROW 3
G3: 4,7,2,6,8                            # reduction candidate for 4,7
G3: 4,7                                  # 14 pairs
H3: 4,7,2,5,8                            # reduction candidate for 4,7
H3: 4,7                                  # 14 pairs
* PAIR C6: 5,8 BLK 4
A5: 5,8,3,4,6,9                          # reduction candidate for 5,8
A5: 5,8 => CTR
* 927138....56.293.1.3......931..5..68.4..1....67.9.31.279..61834183574...264...51.
A5: 3,4,6,9                              # 13 pairs
C5: 5,8,2,9                              # reduction candidate for 5,8
C5: 5,8                                  # 17 pairs
A6: 5,8,3,4,6                            # reduction candidate for 5,8
A6: 5,8 => CTR
* .27..8....56.2.3.1.3......931..5..6864..1.....7.9.61.279......4.83..4...264...51.
A6: 3,4,6                                # 13 pairs
* PAIR C6: 5,8 ROW 6
H6: 5,8,3,4                              # reduction candidate for 5,8
H6: 5,8                                  # 17 pairs
H6: 3,4                                  # 14 pairs
* PAIR C6: 5,8 COL C
C3: 5,8,1,2                              # reduction candidate for 5,8
C3: 5,8                                  # 19 pairs
C3: 1,2                                  # 14 pairs
* PAIR F6: 3,6 BLK 5
D5: 3,6,2,4,7,8                          # reduction candidate for 3,6
D5: 3,6                                  # 20 pairs
F5: 3,6,2,7                              # reduction candidate for 3,6
F5: 3,6                                  # 17 pairs
* PAIR F6: 3,6 ROW 6
A6: 3,6,4,5,8                            # reduction candidate for 3,6
A6: 4,5,8                                # 18 pairs
A6: 3,6                                  # 15 pairs
* PAIR I4: 3,8 BLK 6
H5: 3,8,4,5,7,9                          # reduction candidate for 3,8
H5: 3,8                                  # 20 pairs
I5: 3,8,5                                # reduction candidate for 3,8
I5: 3,8                                  # 17 pairs
H6: 3,8,4,5                              # reduction candidate for 3,8
H6: 3,8                                  # 16 pairs
* PAIR I4: 3,8 ROW 4
A4: 3,8,4,9                              # reduction candidate for 3,8
A4: 3,8                                  # 16 pairs
D4: 3,8,2,4,7                            # reduction candidate for 3,8
D4: 3,8                                  # 20 pairs
* PAIR I4: 3,8 COL I
I9: 3,8,7                                # reduction candidate for 3,8
I9: 7                                    # 13 pairs
I9: 3,8                                  # 13 pairs
* PAIR B7: 5,9 BLK 7
C7: 5,9,1                                # reduction candidate for 5,9
C7: 5,9                                  # 16 pairs
C7: 1                                    # 13 pairs
* PAIR B7: 5,9 COL B
B1: 5,9,2,4                              # reduction candidate for 5,9
B1: 5,9                                  # 19 pairs
B2: 5,9,4                                # reduction candidate for 5,9
B2: 5,9                                  # 16 pairs
B5: 5,9,2,4                              # reduction candidate for 5,9
B5: 5,9                                  # 18 pairs
* PAIR A8: 1,5 BLK 7
C7: 1,5,9                                # reduction candidate for 1,5
C7: 9                                    # 17 pairs
C7: 1,5                                  # 14 pairs
* PAIR A8: 1,5 COL A
A1: 1,5,4,9                              # reduction candidate for 1,5
A1: 1,5                                  # 15 pairs
A2: 1,5,4,8,9                            # reduction candidate for 1,5
A2: 1,5                                  # 16 pairs
A3: 1,5,4,8                              # reduction candidate for 1,5
A3: 1,5                                  # 15 pairs
* PAIR D8: 1,5 BLK 8
D7: 1,5,2                                # reduction candidate for 1,5
D7: 1,5                                  # 20 pairs
F7: 1,5,2                                # reduction candidate for 1,5
F7: 1,5                                  # 14 pairs
* PAIR D8: 1,5 COL D
D1: 1,5,3,4,6                            # reduction candidate for 1,5
D1: 1,5                                  # 22 pairs
D2: 1,5,4,7                              # reduction candidate for 1,5
D2: 1,5                                  # 15 pairs
D3: 1,5,4,6,7                            # reduction candidate for 1,5
D3: 1,5                                  # 18 pairs
* PAIR G7: 6,8 ROW 7
E7: 6,8,3                                # reduction candidate for 6,8
E7: 3 => CTR
* 1.73.8..68.6.2.3.143..718.9.1..5..68.4..1...5.7598.142791.3.684583164..726489.513
E7: 6,8                                  # 14 pairs
* PAIR G7: 6,8 COL G
G3: 6,8,2,4,7                            # reduction candidate for 6,8
G3: 6,8                                  # 15 pairs
G3: 2,4,7                                # 13 pairs
* PAIR H7: 3,8 BLK 9
I9: 3,8,7                                # reduction candidate for 3,8
I9: 7                                    # 13 pairs
I9: 3,8                                  # 13 pairs
* PAIR H7: 3,8 ROW 7
E7: 3,8,6                                # reduction candidate for 3,8
E7: 6                                    # 13 pairs
E7: 3,8                                  # 13 pairs
* PAIR H7: 3,8 COL H
H5: 3,8,4,5,7,9                          # reduction candidate for 3,8
H5: 3,8                                  # 20 pairs
H6: 3,8,4,5                              # reduction candidate for 3,8
H6: 3,8                                  # 16 pairs
* INCONCLUSIVE
* SAVE PR GRAPH xx-top95-064-base-pr-000.dot
* REASONING
* DIS # A5: 5,8 => CTR => A5: 3,4,6,9
* DIS # A6: 5,8 => CTR => A6: 3,4,6
* DIS # E7: 3 => CTR => E7: 6,8
* CNT   3 HDP CHAINS /  49 HYP OPENED

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A8,B7,C6,D8,E3,E8,F6,G7,G8,H7,H8,I4,I8)
* ..7..8.....6.2.3...3......9.1..5..6.....1.....7.9..1.27.......4.83..4...264...51.
* PAIR E3: 4,7 BLK 2
D2: 4,7,1,5                              # reduction candidate for 4,7
D2: 4,7                                  # 15 pairs
D3: 4,7,1,5,6                            # reduction candidate for 4,7
D3: 4,7                                  # 18 pairs
* PAIR E3: 4,7 ROW 3
G3: 4,7,2,6,8                            # reduction candidate for 4,7
G3: 4,7                                  # 14 pairs
H3: 4,7,2,5,8                            # reduction candidate for 4,7
H3: 4,7                                  # 14 pairs
* PAIR C6: 5,8 BLK 4
A5: 5,8,3,4,6,9                          # reduction candidate for 5,8
A5: 5,8 => CTR
* 927138....56.293.1.3......931..5..68.4..1....67.9.31.279..61834183574...264...51.
C5: 5,8,2,9                              # reduction candidate for 5,8
C5: 5,8                                  # 17 pairs
A6: 5,8,3,4,6                            # reduction candidate for 5,8
A6: 5,8 => CTR
* .27..8....56.2.3.1.3......931..5..6864..1.....7.9.61.279......4.83..4...264...51.
* RESTART
* PAIR C6: 5,8 BLK 4
C5: 5,8,2,9                              # reduction candidate for 5,8
C5: 5,8                                  # 17 pairs
C5: 2,9                                  # 14 pairs
* PAIR C6: 5,8 ROW 6
H6: 5,8,3,4                              # reduction candidate for 5,8
H6: 5,8                                  # 17 pairs
H6: 3,4                                  # 16 pairs
* PAIR C6: 5,8 COL C
C3: 5,8,1,2                              # reduction candidate for 5,8
C3: 5,8                                  # 19 pairs
C3: 1,2                                  # 14 pairs
* PAIR F6: 3,6 BLK 5
D5: 3,6,2,4,7,8                          # reduction candidate for 3,6
D5: 3,6                                  # 20 pairs
F5: 3,6,2,7                              # reduction candidate for 3,6
F5: 3,6                                  # 17 pairs
* PAIR F6: 3,6 ROW 6
A6: 3,6,4                                # reduction candidate for 3,6
A6: 4                                    # 20 pairs
A6: 3,6                                  # 15 pairs
* PAIR I4: 3,8 BLK 6
H5: 3,8,4,5,7,9                          # reduction candidate for 3,8
H5: 3,8                                  # 22 pairs
I5: 3,8,5                                # reduction candidate for 3,8
I5: 3,8                                  # 17 pairs
H6: 3,8,4,5                              # reduction candidate for 3,8
H6: 3,8                                  # 16 pairs
* PAIR I4: 3,8 ROW 4
A4: 3,8,4,9                              # reduction candidate for 3,8
A4: 3,8                                  # 16 pairs
D4: 3,8,2,4,7                            # reduction candidate for 3,8
D4: 3,8                                  # 20 pairs
* PAIR I4: 3,8 COL I
I9: 3,8,7                                # reduction candidate for 3,8
I9: 7                                    # 13 pairs
I9: 3,8                                  # 13 pairs
* PAIR B7: 5,9 BLK 7
C7: 5,9,1                                # reduction candidate for 5,9
C7: 5,9                                  # 17 pairs
C7: 1                                    # 13 pairs
* PAIR B7: 5,9 COL B
B1: 5,9,2,4                              # reduction candidate for 5,9
B1: 5,9                                  # 19 pairs
B2: 5,9,4                                # reduction candidate for 5,9
B2: 5,9                                  # 17 pairs
B5: 5,9,2,4                              # reduction candidate for 5,9
B5: 5,9                                  # 18 pairs
* PAIR A8: 1,5 BLK 7
C7: 1,5,9                                # reduction candidate for 1,5
C7: 9                                    # 17 pairs
C7: 1,5                                  # 14 pairs
* PAIR A8: 1,5 COL A
A1: 1,5,4,9                              # reduction candidate for 1,5
A1: 1,5                                  # 15 pairs
A2: 1,5,4,8,9                            # reduction candidate for 1,5
A2: 1,5                                  # 16 pairs
A3: 1,5,4,8                              # reduction candidate for 1,5
A3: 1,5                                  # 15 pairs
* PAIR D8: 1,5 BLK 8
D7: 1,5,2                                # reduction candidate for 1,5
D7: 1,5                                  # 20 pairs
F7: 1,5,2                                # reduction candidate for 1,5
F7: 1,5                                  # 14 pairs
* PAIR D8: 1,5 COL D
D1: 1,5,3,4,6                            # reduction candidate for 1,5
D1: 1,5                                  # 22 pairs
D2: 1,5,4,7                              # reduction candidate for 1,5
D2: 1,5                                  # 15 pairs
D3: 1,5,4,6,7                            # reduction candidate for 1,5
D3: 1,5                                  # 18 pairs
* PAIR G7: 6,8 ROW 7
E7: 6,8,3                                # reduction candidate for 6,8
E7: 3 => CTR
* 1.73.8..68.6.2.3.1.32...8.9.19.5..68.28.1...5.7598.1.2791.3.684583164..72648..513
* PAIR G7: 6,8 COL G
G3: 6,8,2,4,7                            # reduction candidate for 6,8
G3: 6,8                                  # 16 pairs
G3: 2,4,7                                # 14 pairs
* PAIR RESTART
* PAIR G7: 6,8 COL G
G3: 6,8,2,4,7                            # reduction candidate for 6,8
G3: 6,8                                  # 16 pairs
G3: 2,4,7                                # 14 pairs

* LEVEL 0 PASS 1 ROUND 2 (AUTO SOLVE) (A8,B7,C6,D8,E3,E7,E8,F6,G7,G8,H8,I4,I8,I9)
* ..7..8.....6.2.3...3......9.1..5..6.....1.....7.9..1.27......34.83..4...264...51.
* PAIR E3: 4,7 BLK 2
D2: 4,7,1,5                              # reduction candidate for 4,7
D2: 4,7                                  # 16 pairs
D3: 4,7,1,5,6                            # reduction candidate for 4,7
D3: 4,7                                  # 19 pairs
* PAIR E3: 4,7 ROW 3
G3: 4,7,2,6,8                            # reduction candidate for 4,7
G3: 4,7                                  # 15 pairs
H3: 4,7,2,5,8                            # reduction candidate for 4,7
H3: 4,7                                  # 15 pairs
* PAIR C6: 5,8 BLK 4
C5: 5,8,2,9                              # reduction candidate for 5,8
C5: 5,8                                  # 18 pairs
C5: 2,9                                  # 15 pairs
* PAIR C6: 5,8 ROW 6
H6: 5,8,4                                # reduction candidate for 5,8
H6: 5,8                                  # 17 pairs
H6: 4                                    # 17 pairs
* PAIR C6: 5,8 COL C
C3: 5,8,1,2                              # reduction candidate for 5,8
C3: 5,8                                  # 20 pairs
C3: 1,2                                  # 15 pairs
* PAIR F6: 3,6 BLK 5
D5: 3,6,2,4,7,8                          # reduction candidate for 3,6
D5: 3,6                                  # 25 pairs
F5: 3,6,2,7                              # reduction candidate for 3,6
F5: 3,6                                  # 21 pairs
* PAIR F6: 3,6 ROW 6
A6: 3,6,4                                # reduction candidate for 3,6
A6: 4 => CTR
* ..7..8.....6.2.3...3......931..5..686...1...347.9361527.....834.83..4..6264.8.51.
* PAIR RESTART
* PAIR F6: 3,6 BLK 5
D5: 3,6,2,4,7,8                          # reduction candidate for 3,6
D5: 3,6                                  # 25 pairs
F5: 3,6,2,7                              # reduction candidate for 3,6
F5: 3,6                                  # 21 pairs
* PAIR I4: 3,8 BLK 6
I5: 3,8,5                                # reduction candidate for 3,8
I5: 3,8 => SOLVED
* 957638421146729385832541679419352768628417953375986142791265834583174296264893517
* DURATION: 0:00:57.106295  START: 00:15:00.100428  END: 00:15:57.206723 2017-05-04
* SOLUTION FOUND
* SAVE PR GRAPH xx-top95-064-base-pr-001.dot
* REASONING
* DIS # A5: 5,8 => CTR => A5: 3,4,6,9
* DIS A5: 3,4,6,9 # A6: 5,8 => CTR => A6: 3,4,6
* DIS A5: 3,4,6,9 + A6: 3,4,6 # E7: 3 => CTR => E7: 6,8
* DIS A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # A6: 4 => CTR => A6: 3,6
* PRF A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 + A6: 3,6 # I5: 3,8 => SOL
* STA A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 + A6: 3,6 + I5: 3,8
* CNT   5 HDP CHAINS /  62 HYP OPENED

Header Info

Top 95 Sudokus 064
[sudoku:top95] “95 Hard Puzzles”, http://magictour.free.fr/top95, or http://norvig.com/top95.txt

Solution

position: 957638421146729385832541679419352768628417953375986142791265834583174296264893517 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:

* INC # D2: 4,7 => UNS
* INC # D3: 4,7 => UNS
* INC # G3: 4,7 => UNS
* INC # H3: 4,7 => UNS
* DIS # A5: 5,8 => CTR => A5: 3,4,6,9
* INC # A5: 3,4,6,9 => UNS
* INC # C5: 5,8 => UNS
* DIS # A6: 5,8 => CTR => A6: 3,4,6
* INC # A6: 3,4,6 => UNS
* INC # H6: 5,8 => UNS
* INC # H6: 3,4 => UNS
* INC # C3: 5,8 => UNS
* INC # C3: 1,2 => UNS
* INC # D5: 3,6 => UNS
* INC # F5: 3,6 => UNS
* INC # A6: 3,6 => UNS
* INC # A6: 4,5,8 => UNS
* INC # H5: 3,8 => UNS
* INC # I5: 3,8 => UNS
* INC # H6: 3,8 => UNS
* INC # A4: 3,8 => UNS
* INC # D4: 3,8 => UNS
* INC # I9: 3,8 => UNS
* INC # I9: 7 => UNS
* INC # C7: 5,9 => UNS
* INC # C7: 1 => UNS
* INC # B1: 5,9 => UNS
* INC # B2: 5,9 => UNS
* INC # B5: 5,9 => UNS
* INC # C7: 1,5 => UNS
* INC # C7: 9 => UNS
* INC # A1: 1,5 => UNS
* INC # A2: 1,5 => UNS
* INC # A3: 1,5 => UNS
* INC # D7: 1,5 => UNS
* INC # F7: 1,5 => UNS
* INC # D1: 1,5 => UNS
* INC # D2: 1,5 => UNS
* INC # D3: 1,5 => UNS
* INC # E7: 6,8 => UNS
* DIS # E7: 3 => CTR => E7: 6,8
* INC # G3: 6,8 => UNS
* INC # G3: 2,4,7 => UNS
* INC # I9: 3,8 => UNS
* INC # I9: 7 => UNS
* INC # E7: 3,8 => UNS
* INC # E7: 6 => UNS
* INC # H5: 3,8 => UNS
* INC # H6: 3,8 => UNS
* CNT  49 HDP CHAINS /  49 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # D2: 4,7 => UNS
* INC # D3: 4,7 => UNS
* INC # G3: 4,7 => UNS
* INC # H3: 4,7 => UNS
* DIS # A5: 5,8 => CTR => A5: 3,4,6,9
* INC A5: 3,4,6,9 # C5: 5,8 => UNS
* DIS A5: 3,4,6,9 # A6: 5,8 => CTR => A6: 3,4,6
* INC A5: 3,4,6,9 + A6: 3,4,6 # C5: 5,8 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # C5: 2,9 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # H6: 5,8 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # H6: 3,4 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # C3: 5,8 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # C3: 1,2 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # D5: 3,6 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # F5: 3,6 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # A6: 3,6 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # A6: 4 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # H5: 3,8 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # I5: 3,8 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # H6: 3,8 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # A4: 3,8 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # D4: 3,8 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # I9: 3,8 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # I9: 7 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # C7: 5,9 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # C7: 1 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # B1: 5,9 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # B2: 5,9 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # B5: 5,9 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # C7: 1,5 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # C7: 9 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # A1: 1,5 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # A2: 1,5 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # A3: 1,5 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # D7: 1,5 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # F7: 1,5 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # D1: 1,5 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # D2: 1,5 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # D3: 1,5 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 # E7: 6,8 => UNS
* DIS A5: 3,4,6,9 + A6: 3,4,6 # E7: 3 => CTR => E7: 6,8
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # G3: 6,8 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # G3: 2,4,7 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # G3: 6,8 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # G3: 2,4,7 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # D2: 4,7 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # D3: 4,7 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # G3: 4,7 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # H3: 4,7 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # C5: 5,8 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # C5: 2,9 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # H6: 5,8 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # H6: 4 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # C3: 5,8 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # C3: 1,2 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # D5: 3,6 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # F5: 3,6 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # A6: 3,6 => UNS
* DIS A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 # A6: 4 => CTR => A6: 3,6
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 + A6: 3,6 # D5: 3,6 => UNS
* INC A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 + A6: 3,6 # F5: 3,6 => UNS
* PRF A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 + A6: 3,6 # I5: 3,8 => SOL
* STA A5: 3,4,6,9 + A6: 3,4,6 + E7: 6,8 + A6: 3,6 + I5: 3,8
* CNT  62 HDP CHAINS /  62 HYP OPENED