Analysis of xx-top95-054-base.sdk

Contents

Original Sudoku

level: medium

Original Sudoku

position: 9.4..5...25.6..1..31......8.7...9...4..26......147....7.......2...3..8.6.4.....9. initial

Autosolve

position: 9.4..5...25.6..1..31......8.7...9...4..26......147....7.......2...3..8.6.4.....9. autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

The following important HDP chains were detected:

* DIS # I2: 3,7 => CTR => I2: 4,9
* CNT   1 HDP CHAINS /  38 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 # I2: 3,7 => CTR => I2: 4,9
* DIS I2: 4,9 # E2: 4,9 => CTR => E2: 3,8
* DIS I2: 4,9 + E2: 3,8 # C4: 6,8 => CTR => C4: 2,3
* DIS I2: 4,9 + E2: 3,8 + C4: 2,3 # B6: 6,8 => CTR => B6: 2,3,9
* DIS I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 # A6: 5 => CTR => A6: 6,8
* DIS I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 # E4: 3,8 => CTR => E4: 1,5
* DIS I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 + E4: 1,5 # F5: 1 => CTR => F5: 3,8
* DIS I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 + E4: 1,5 + F5: 3,8 # H8: 1,5 => CTR => H8: 4,7
* PRF I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 + E4: 1,5 + F5: 3,8 + H8: 4,7 # E1: 1,8 => SOL
* STA I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 + E4: 1,5 + F5: 3,8 + H8: 4,7 + E1: 1,8
* CNT   9 HDP CHAINS /  71 HYP OPENED

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

Details

Positions

9.4..5...25.6..1..31......8.7...9...4..26......147....7.......2...3..8.6.4.....9. initial
9.4..5...25.6..1..31......8.7...9...4..26......147....7.......2...3..8.6.4.....9. autosolve
964815237258637149317924658872159364495263781631478925783596412529341876146782593 solved

Classification

level: medium

Pairing Analysis

--------------------------------------------------
* PAIRS (9)
B1: 6,8
C2: 7,8
C3: 6,7
D3: 7,9
I1: 3,7
A4: 6,8
F6: 3,8
A8: 1,5
B8: 2,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D1,E1: 1.. / D1 = 1  => 11 pairs (_) / E1 = 1  => 11 pairs (_)
A8,A9: 1.. / A8 = 1  =>  8 pairs (_) / A9 = 1  => 12 pairs (_)
C4,B6: 2.. / C4 = 2  =>  9 pairs (_) / B6 = 2  => 11 pairs (_)
B6,B8: 2.. / B6 = 2  => 11 pairs (_) / B8 = 2  =>  9 pairs (_)
I2,I4: 4.. / I2 = 4  =>  0 pairs (X) / I4 = 4  =>  9 pairs (_)
G3,H3: 5.. / G3 = 5  => 11 pairs (_) / H3 = 5  =>  9 pairs (_)
C5,A6: 5.. / C5 = 5  => 13 pairs (_) / A6 = 5  => 10 pairs (_)
D4,E4: 5.. / D4 = 5  =>  9 pairs (_) / E4 = 5  => 10 pairs (_)
B1,C3: 6.. / B1 = 6  => 14 pairs (_) / C3 = 6  =>  9 pairs (_)
F7,F9: 6.. / F7 = 6  =>  9 pairs (_) / F9 = 6  =>  9 pairs (_)
C2,C3: 7.. / C2 = 7  =>  9 pairs (_) / C3 = 7  => 14 pairs (_)
F8,H8: 7.. / F8 = 7  => 10 pairs (_) / H8 = 7  => 11 pairs (_)
B1,C2: 8.. / B1 = 8  =>  9 pairs (_) / C2 = 8  => 14 pairs (_)
I2,G3: 9.. / I2 = 9  => 10 pairs (_) / G3 = 9  =>  0 pairs (X)
E2,I2: 9.. / E2 = 9  =>  0 pairs (X) / I2 = 9  => 10 pairs (_)
D3,D7: 9.. / D3 = 9  => 10 pairs (_) / D7 = 9  => 12 pairs (_)
* DURATION: 0:00:17.451573  START: 23:59:04.262320  END: 23:59:21.713893 2017-05-03
* CP COUNT: (16)
* CLUE FOUND

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A4,A8,B1,B8,C2,C3,D3,F6,I1)
* 9.4..5...25.6..1..31......8.7...9...4..26......147....7.......2...3..8.6.4.....9.
* PAIR B1: 6,8 COL B
B6: 6,8,2,3,9                            # reduction candidate for 6,8
B6: 6,8                                  # 17 pairs
B7: 6,8,3,9                              # reduction candidate for 6,8
B7: 6,8                                  # 11 pairs
* PAIR C2: 7,8 ROW 2
F2: 7,8,3,4                              # reduction candidate for 7,8
F2: 7,8                                  # 11 pairs
F2: 3,4                                  # 10 pairs
* PAIR C3: 6,7 ROW 3
G3: 6,7,2,4,5,9                          # reduction candidate for 6,7
G3: 6,7                                  # 16 pairs
H3: 6,7,2,4,5                            # reduction candidate for 6,7
H3: 6,7                                  # 15 pairs
* PAIR D3: 7,9 ROW 3
G3: 7,9,2,4,5,6                          # reduction candidate for 7,9
G3: 7,9                                  # 18 pairs
G3: 2,4,5,6                              # 10 pairs
* PAIR I1: 3,7 BLK 3
G1: 3,7,2,6                              # reduction candidate for 3,7
G1: 3,7                                  # 14 pairs
H1: 3,7,2,6                              # reduction candidate for 3,7
H1: 3,7                                  # 14 pairs
H2: 3,7,4                                # reduction candidate for 3,7
H2: 3,7                                  # 12 pairs
I2: 3,7,4,9                              # reduction candidate for 3,7
I2: 3,7 => CTR
* 984135..72576981433167..958.7...9..44..261.....1473...7..9.64.2...3..8.664.....91
I2: 4,9                                  # 10 pairs
* PAIR I1: 3,7 COL I
I5: 3,7,1,5,9                            # reduction candidate for 3,7
I5: 3,7                                  # 14 pairs
I9: 3,7,1,5                              # reduction candidate for 3,7
I9: 3,7                                  # 13 pairs
* PAIR A4: 6,8 BLK 4
C4: 6,8,2,3                              # reduction candidate for 6,8
C4: 6,8                                  # 16 pairs
A6: 6,8,5                                # reduction candidate for 6,8
A6: 6,8                                  # 13 pairs
B6: 6,8,2,3,9                            # reduction candidate for 6,8
B6: 6,8                                  # 17 pairs
* PAIR A4: 6,8 ROW 4
H4: 6,8,1,2,3,4                          # reduction candidate for 6,8
H4: 6,8                                  # 12 pairs
H4: 1,2,3,4                              #  9 pairs
* PAIR A4: 6,8 COL A
A9: 6,8,1,5                              # reduction candidate for 6,8
A9: 1,5                                  # 13 pairs
A9: 6,8                                  # 10 pairs
* PAIR F6: 3,8 BLK 5
E4: 3,8,1,5                              # reduction candidate for 3,8
E4: 3,8                                  # 10 pairs
F5: 3,8,1                                # reduction candidate for 3,8
F5: 3,8                                  # 17 pairs
* PAIR F6: 3,8 ROW 6
B6: 3,8,2,6,9                            # reduction candidate for 3,8
B6: 3,8                                  # 12 pairs
H6: 3,8,2,5,6                            # reduction candidate for 3,8
H6: 3,8                                  # 12 pairs
* PAIR F6: 3,8 COL F
F2: 3,8,4,7                              # reduction candidate for 3,8
F2: 4,7                                  # 14 pairs
F2: 3,8                                  # 12 pairs
* PAIR A8: 1,5 BLK 7
A9: 1,5,6,8                              # reduction candidate for 1,5
A9: 1,5                                  # 13 pairs
A9: 6,8                                  # 10 pairs
* PAIR A8: 1,5 ROW 8
E8: 1,5,2,4,9                            # reduction candidate for 1,5
E8: 1,5                                  # 13 pairs
H8: 1,5,4,7                              # reduction candidate for 1,5
H8: 1,5                                  # 13 pairs
* PAIR B8: 2,9 BLK 7
C8: 2,9,5                                # reduction candidate for 2,9
C8: 5                                    # 11 pairs
C8: 2,9                                  # 10 pairs
* PAIR B8: 2,9 ROW 8
E8: 2,9,1,4,5                            # reduction candidate for 2,9
E8: 2,9                                  # 13 pairs
E8: 1,4,5                                #  9 pairs
* PAIR B8: 2,9 COL B
B6: 2,9,3,6,8                            # reduction candidate for 2,9
B6: 2,9                                  # 11 pairs
B6: 3,6,8                                #  9 pairs
* INCONCLUSIVE
* SAVE PR GRAPH xx-top95-054-base-pr-000.dot
* REASONING
* DIS # I2: 3,7 => CTR => I2: 4,9
* CNT   1 HDP CHAINS /  38 HYP OPENED

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A4,A8,B1,B8,C2,C3,D3,F6,I1)
* 9.4..5...25.6..1..31......8.7...9...4..26......147....7.......2...3..8.6.4.....9.
* PAIR B1: 6,8 COL B
B6: 6,8,2,3,9                            # reduction candidate for 6,8
B6: 6,8                                  # 17 pairs
B7: 6,8,3,9                              # reduction candidate for 6,8
B7: 6,8                                  # 11 pairs
* PAIR C2: 7,8 ROW 2
F2: 7,8,3,4                              # reduction candidate for 7,8
F2: 7,8                                  # 11 pairs
F2: 3,4                                  # 10 pairs
* PAIR C3: 6,7 ROW 3
G3: 6,7,2,4,5,9                          # reduction candidate for 6,7
G3: 6,7                                  # 16 pairs
H3: 6,7,2,4,5                            # reduction candidate for 6,7
H3: 6,7                                  # 15 pairs
* PAIR D3: 7,9 ROW 3
G3: 7,9,2,4,5,6                          # reduction candidate for 7,9
G3: 7,9                                  # 18 pairs
G3: 2,4,5,6                              # 10 pairs
* PAIR I1: 3,7 BLK 3
G1: 3,7,2,6                              # reduction candidate for 3,7
G1: 3,7                                  # 14 pairs
H1: 3,7,2,6                              # reduction candidate for 3,7
H1: 3,7                                  # 14 pairs
H2: 3,7,4                                # reduction candidate for 3,7
H2: 3,7                                  # 12 pairs
I2: 3,7,4,9                              # reduction candidate for 3,7
I2: 3,7 => CTR
* 984135..72576981433167..958.7...9..44..261.....1473...7..9.64.2...3..8.664.....91
* PAIR I1: 3,7 COL I
I5: 3,7,1,5,9                            # reduction candidate for 3,7
I5: 3,7                                  # 14 pairs
I9: 3,7,1,5                              # reduction candidate for 3,7
I9: 3,7                                  # 13 pairs
* PAIR RESTART
* PAIR I1: 3,7 BLK 3
G1: 3,7,2,6                              # reduction candidate for 3,7
G1: 3,7                                  # 14 pairs
H1: 3,7,2,6                              # reduction candidate for 3,7
H1: 3,7                                  # 14 pairs
H2: 3,7,4                                # reduction candidate for 3,7
H2: 3,7                                  # 12 pairs
* PAIR I1: 3,7 COL I
I5: 3,7,1,5,9                            # reduction candidate for 3,7
I5: 3,7                                  # 14 pairs
I9: 3,7,1,5                              # reduction candidate for 3,7
I9: 3,7                                  # 13 pairs
* PAIR A4: 6,8 BLK 4
C4: 6,8,2,3                              # reduction candidate for 6,8
C4: 6,8                                  # 17 pairs
A6: 6,8,5                                # reduction candidate for 6,8
A6: 6,8                                  # 14 pairs
B6: 6,8,2,3,9                            # reduction candidate for 6,8
B6: 6,8                                  # 18 pairs
* PAIR A4: 6,8 ROW 4
H4: 6,8,1,2,3,4                          # reduction candidate for 6,8
H4: 6,8                                  # 13 pairs
H4: 1,2,3,4                              # 10 pairs
* PAIR A4: 6,8 COL A
A9: 6,8,1,5                              # reduction candidate for 6,8
A9: 1,5                                  # 14 pairs
A9: 6,8                                  # 11 pairs
* PAIR F6: 3,8 BLK 5
E4: 3,8,1,5                              # reduction candidate for 3,8
E4: 3,8                                  # 11 pairs
F5: 3,8,1                                # reduction candidate for 3,8
F5: 3,8                                  # 17 pairs
* PAIR F6: 3,8 ROW 6
B6: 3,8,2,6,9                            # reduction candidate for 3,8
B6: 3,8                                  # 13 pairs
H6: 3,8,2,5,6                            # reduction candidate for 3,8
H6: 3,8                                  # 13 pairs
* PAIR F6: 3,8 COL F
F2: 3,8,4,7                              # reduction candidate for 3,8
F2: 4,7                                  # 14 pairs
F2: 3,8                                  # 13 pairs
* PAIR A8: 1,5 BLK 7
A9: 1,5,6,8                              # reduction candidate for 1,5
A9: 1,5                                  # 14 pairs
A9: 6,8                                  # 11 pairs
* PAIR A8: 1,5 ROW 8
E8: 1,5,2,4,9                            # reduction candidate for 1,5
E8: 1,5                                  # 14 pairs
H8: 1,5,4,7                              # reduction candidate for 1,5
H8: 1,5                                  # 14 pairs
* PAIR B8: 2,9 BLK 7
C8: 2,9,5                                # reduction candidate for 2,9
C8: 5                                    # 12 pairs
C8: 2,9                                  # 11 pairs
* PAIR B8: 2,9 ROW 8
E8: 2,9,1,4,5                            # reduction candidate for 2,9
E8: 2,9                                  # 14 pairs
E8: 1,4,5                                # 10 pairs
* PAIR B8: 2,9 COL B
B6: 2,9,3,6,8                            # reduction candidate for 2,9
B6: 2,9                                  # 12 pairs
B6: 3,6,8                                # 10 pairs

* LEVEL 0 PASS 1 ROUND 2 (AUTO SOLVE) (A4,A8,B1,B8,C2,C3,D3,F6,I1,I2)
* 9.4..5...25.6..1..31......8.7...9...4..26......147....7.......2...3..8.6.4.....9.
* PAIR B1: 6,8 COL B
B6: 6,8,2,3,9                            # reduction candidate for 6,8
B6: 6,8                                  # 18 pairs
B7: 6,8,3,9                              # reduction candidate for 6,8
B7: 6,8                                  # 12 pairs
* PAIR C2: 7,8 ROW 2
F2: 7,8,3,4                              # reduction candidate for 7,8
F2: 7,8                                  # 12 pairs
F2: 3,4                                  # 11 pairs
* PAIR C3: 6,7 ROW 3
G3: 6,7,2,4,5,9                          # reduction candidate for 6,7
G3: 6,7                                  # 16 pairs
H3: 6,7,2,4,5                            # reduction candidate for 6,7
H3: 6,7                                  # 15 pairs
* PAIR D3: 7,9 ROW 3
G3: 7,9,2,4,5,6                          # reduction candidate for 7,9
G3: 7,9                                  # 19 pairs
G3: 2,4,5,6                              # 10 pairs
* PAIR I1: 3,7 BLK 3
G1: 3,7,2,6                              # reduction candidate for 3,7
G1: 3,7                                  # 14 pairs
H1: 3,7,2,6                              # reduction candidate for 3,7
H1: 3,7                                  # 14 pairs
H2: 3,7,4                                # reduction candidate for 3,7
H2: 3,7                                  # 12 pairs
* PAIR I1: 3,7 COL I
I5: 3,7,1,5,9                            # reduction candidate for 3,7
I5: 3,7                                  # 14 pairs
I9: 3,7,1,5                              # reduction candidate for 3,7
I9: 3,7                                  # 13 pairs
* PAIR I2: 4,9 BLK 3
G3: 4,9,2,5,6,7                          # reduction candidate for 4,9
G3: 4,9                                  # 13 pairs
G3: 2,5,6,7                              # 10 pairs
* PAIR I2: 4,9 ROW 2
E2: 4,9,3,8                              # reduction candidate for 4,9
E2: 4,9 => CTR
* 984135..72576.813.3167.2.5867...9...43.261.7...1473.8.76.9.4.12...3.784684.516793
* PAIR RESTART
* PAIR A4: 6,8 BLK 4
C4: 6,8,2,3                              # reduction candidate for 6,8
C4: 6,8 => CTR
* 984125637257683149316...52867853921443926178552147896376....4.219.3..876.4.....91
A6: 6,8,5                                # reduction candidate for 6,8
A6: 6,8                                  # 16 pairs
B6: 6,8,2,3,9                            # reduction candidate for 6,8
B6: 6,8 => CTR
* 984125..7257683149316....58872.396144..2617855614789237....643212.3..8766438.7591
* RESTART
* PAIR A4: 6,8 BLK 4
A6: 6,8,5                                # reduction candidate for 6,8
A6: 5 => CTR
* 9.4..5..725.6..1.931......8673..9284489263...52147896373......219.3..8.684....39.
* PAIR A4: 6,8 ROW 4
H4: 6,8,1,3                              # reduction candidate for 6,8
H4: 6,8                                  # 26 pairs
H4: 1,3                                  # 17 pairs
* PAIR F6: 3,8 BLK 5
E4: 3,8,1,5                              # reduction candidate for 3,8
E4: 3,8 => CTR
* 9.4.15...25.6..14931.942568.725396144.5261.8.6.1478..57.3196452129354876546827391
F5: 3,8,1                                # reduction candidate for 3,8
F5: 3,8                                  # 24 pairs
* RESTART
* PAIR F6: 3,8 BLK 5
F5: 3,8,1                                # reduction candidate for 3,8
F5: 1 => CTR
* 9.4..5..325.63.1.931......8.72859.14435261987891473..57......3212934785654.....91
* PAIR A8: 1,5 ROW 8
H8: 1,5,4,7                              # reduction candidate for 1,5
H8: 1,5 => CTR
* 9.4..5...257684139316792..8.72..93.44.526......147...5763.....2.293.78.6.4.....9.
* PAIR RESTART

* LEVEL 0 PASS 1 ROUND 3 (AUTO SOLVE) (A4,A6,A8,A9,B1,B5,B6,B7,C2,C3,D1,D3,D4,E2,E4,E8,F2,F5,F6,G4,G5,H2,H8,I1,I5)
* 9.4..5...25.6..1.931......8.72..9..44.526......147...57.......2.293..8.6.4.....9.
* PAIR D1: 1,8 BLK 2
E1: 1,8,3                                # reduction candidate for 1,8
E1: 1,8 => SOLVED
* 964815237258637149317924658872159364495263781631478925783596412529341876146782593
* DURATION: 0:00:52.407294  START: 23:59:44.847932 2017-05-03  END: 00:00:37.255226 2017-05-04
* SOLUTION FOUND
* SAVE PR GRAPH xx-top95-054-base-pr-001.dot
* REASONING
* DIS # I2: 3,7 => CTR => I2: 4,9
* DIS I2: 4,9 # E2: 4,9 => CTR => E2: 3,8
* DIS I2: 4,9 + E2: 3,8 # C4: 6,8 => CTR => C4: 2,3
* DIS I2: 4,9 + E2: 3,8 + C4: 2,3 # B6: 6,8 => CTR => B6: 2,3,9
* DIS I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 # A6: 5 => CTR => A6: 6,8
* DIS I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 # E4: 3,8 => CTR => E4: 1,5
* DIS I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 + E4: 1,5 # F5: 1 => CTR => F5: 3,8
* DIS I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 + E4: 1,5 + F5: 3,8 # H8: 1,5 => CTR => H8: 4,7
* PRF I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 + E4: 1,5 + F5: 3,8 + H8: 4,7 # E1: 1,8 => SOL
* STA I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 + E4: 1,5 + F5: 3,8 + H8: 4,7 + E1: 1,8
* CNT   9 HDP CHAINS /  71 HYP OPENED

Header Info

Top 95 Sudokus 054
[sudoku:top95] “95 Hard Puzzles”, http://magictour.free.fr/top95, or http://norvig.com/top95.txt

Solution

position: 964815237258637149317924658872159364495263781631478925783596412529341876146782593 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 # B6: 6,8 => UNS
* INC # B7: 6,8 => UNS
* INC # F2: 7,8 => UNS
* INC # F2: 3,4 => UNS
* INC # G3: 6,7 => UNS
* INC # H3: 6,7 => UNS
* INC # G3: 7,9 => UNS
* INC # G3: 2,4,5,6 => UNS
* INC # G1: 3,7 => UNS
* INC # H1: 3,7 => UNS
* INC # H2: 3,7 => UNS
* DIS # I2: 3,7 => CTR => I2: 4,9
* INC # I2: 4,9 => UNS
* INC # I5: 3,7 => UNS
* INC # I9: 3,7 => UNS
* INC # C4: 6,8 => UNS
* INC # A6: 6,8 => UNS
* INC # B6: 6,8 => UNS
* INC # H4: 6,8 => UNS
* INC # H4: 1,2,3,4 => UNS
* INC # A9: 6,8 => UNS
* INC # A9: 1,5 => UNS
* INC # E4: 3,8 => UNS
* INC # F5: 3,8 => UNS
* INC # B6: 3,8 => UNS
* INC # H6: 3,8 => UNS
* INC # F2: 3,8 => UNS
* INC # F2: 4,7 => UNS
* INC # A9: 1,5 => UNS
* INC # A9: 6,8 => UNS
* INC # E8: 1,5 => UNS
* INC # H8: 1,5 => UNS
* INC # C8: 2,9 => UNS
* INC # C8: 5 => UNS
* INC # E8: 2,9 => UNS
* INC # E8: 1,4,5 => UNS
* INC # B6: 2,9 => UNS
* INC # B6: 3,6,8 => UNS
* CNT  38 HDP CHAINS /  38 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # B6: 6,8 => UNS
* INC # B7: 6,8 => UNS
* INC # F2: 7,8 => UNS
* INC # F2: 3,4 => UNS
* INC # G3: 6,7 => UNS
* INC # H3: 6,7 => UNS
* INC # G3: 7,9 => UNS
* INC # G3: 2,4,5,6 => UNS
* INC # G1: 3,7 => UNS
* INC # H1: 3,7 => UNS
* INC # H2: 3,7 => UNS
* DIS # I2: 3,7 => CTR => I2: 4,9
* INC I2: 4,9 # I5: 3,7 => UNS
* INC I2: 4,9 # I9: 3,7 => UNS
* INC I2: 4,9 # G1: 3,7 => UNS
* INC I2: 4,9 # H1: 3,7 => UNS
* INC I2: 4,9 # H2: 3,7 => UNS
* INC I2: 4,9 # I5: 3,7 => UNS
* INC I2: 4,9 # I9: 3,7 => UNS
* INC I2: 4,9 # C4: 6,8 => UNS
* INC I2: 4,9 # A6: 6,8 => UNS
* INC I2: 4,9 # B6: 6,8 => UNS
* INC I2: 4,9 # H4: 6,8 => UNS
* INC I2: 4,9 # H4: 1,2,3,4 => UNS
* INC I2: 4,9 # A9: 6,8 => UNS
* INC I2: 4,9 # A9: 1,5 => UNS
* INC I2: 4,9 # E4: 3,8 => UNS
* INC I2: 4,9 # F5: 3,8 => UNS
* INC I2: 4,9 # B6: 3,8 => UNS
* INC I2: 4,9 # H6: 3,8 => UNS
* INC I2: 4,9 # F2: 3,8 => UNS
* INC I2: 4,9 # F2: 4,7 => UNS
* INC I2: 4,9 # A9: 1,5 => UNS
* INC I2: 4,9 # A9: 6,8 => UNS
* INC I2: 4,9 # E8: 1,5 => UNS
* INC I2: 4,9 # H8: 1,5 => UNS
* INC I2: 4,9 # C8: 2,9 => UNS
* INC I2: 4,9 # C8: 5 => UNS
* INC I2: 4,9 # E8: 2,9 => UNS
* INC I2: 4,9 # E8: 1,4,5 => UNS
* INC I2: 4,9 # B6: 2,9 => UNS
* INC I2: 4,9 # B6: 3,6,8 => UNS
* INC I2: 4,9 # B6: 6,8 => UNS
* INC I2: 4,9 # B7: 6,8 => UNS
* INC I2: 4,9 # F2: 7,8 => UNS
* INC I2: 4,9 # F2: 3,4 => UNS
* INC I2: 4,9 # G3: 6,7 => UNS
* INC I2: 4,9 # H3: 6,7 => UNS
* INC I2: 4,9 # G3: 7,9 => UNS
* INC I2: 4,9 # G3: 2,4,5,6 => UNS
* INC I2: 4,9 # G1: 3,7 => UNS
* INC I2: 4,9 # H1: 3,7 => UNS
* INC I2: 4,9 # H2: 3,7 => UNS
* INC I2: 4,9 # I5: 3,7 => UNS
* INC I2: 4,9 # I9: 3,7 => UNS
* INC I2: 4,9 # G3: 4,9 => UNS
* INC I2: 4,9 # G3: 2,5,6,7 => UNS
* DIS I2: 4,9 # E2: 4,9 => CTR => E2: 3,8
* DIS I2: 4,9 + E2: 3,8 # C4: 6,8 => CTR => C4: 2,3
* INC I2: 4,9 + E2: 3,8 + C4: 2,3 # A6: 6,8 => UNS
* DIS I2: 4,9 + E2: 3,8 + C4: 2,3 # B6: 6,8 => CTR => B6: 2,3,9
* INC I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 # A6: 6,8 => UNS
* DIS I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 # A6: 5 => CTR => A6: 6,8
* INC I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 # H4: 6,8 => UNS
* INC I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 # H4: 1,3 => UNS
* DIS I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 # E4: 3,8 => CTR => E4: 1,5
* INC I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 + E4: 1,5 # F5: 3,8 => UNS
* INC I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 + E4: 1,5 # F5: 3,8 => UNS
* DIS I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 + E4: 1,5 # F5: 1 => CTR => F5: 3,8
* DIS I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 + E4: 1,5 + F5: 3,8 # H8: 1,5 => CTR => H8: 4,7
* PRF I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 + E4: 1,5 + F5: 3,8 + H8: 4,7 # E1: 1,8 => SOL
* STA I2: 4,9 + E2: 3,8 + C4: 2,3 + B6: 2,3,9 + A6: 6,8 + E4: 1,5 + F5: 3,8 + H8: 4,7 + E1: 1,8
* CNT  71 HDP CHAINS /  71 HYP OPENED