Analysis of zz-www.sudokuoftheday.co.uk-20190327-absurd-base.sdk

Contents

Sudoku from http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Mar&YEAR=2019

level: medium

Sudoku from http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Mar&YEAR=2019

position: 1...5..7..4..6..9..79...5.4........63..64....9....31...2...9......4......56.372.. initial

Autosolve

position: 13.95467..4.76..9.6793..5.4....9...63..64.9..96..731...2.5.9.6..9.426....56.372.9 autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

The following important HDP chains were detected:

* DIS # C2: 5 => CTR => C2: 2,8
* DIS # C2: 8 => CTR => C2: 2,5
* DIS # F3: 1,8 => CTR => F3: 2
* DIS # H3: 2 => CTR => H3: 1,8
* DIS # I2: 2,8 => CTR => I2: 1,3
* DIS # I5: 2,8 => CTR => I5: 5,7
* DIS # I2: 3,8 => CTR => I2: 1,2
* DIS # G7: 3,8 => CTR => G7: 4,7
* DIS # F4: 1,8 => CTR => F4: 5
* DIS # G4: 3 => CTR => G4: 4,7
* DIS # F5: 5 => CTR => F5: 1,8
* DIS # D4: 1 => CTR => D4: 2,8
* DIS # H6: 2,8 => CTR => H6: 4,5
* DIS # I8: 7,8 => CTR => I8: 1,3,5
* DIS # A7: 7 => CTR => A7: 4,8
* DIS # H9: 1 => CTR => H9: 4,8
* DIS # D4: 2 => CTR => D4: 1,8
* CNT  17 HDP CHAINS /  55 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 # C2: 5 => CTR => C2: 2,8
* DIS C2: 2,8 # F3: 1,8 => CTR => F3: 2
* DIS C2: 2,8 + F3: 2 # I2: 2,8 => CTR => I2: 1,3
* DIS C2: 2,8 + F3: 2 + I2: 1,3 # G7: 3,8 => CTR => G7: 4,7
* DIS C2: 2,8 + F3: 2 + I2: 1,3 + G7: 4,7 # G8: 7 => CTR => G8: 3,8
* PRF C2: 2,8 + F3: 2 + I2: 1,3 + G7: 4,7 + G8: 3,8 # I7: 1,3 => SOL
* STA C2: 2,8 + F3: 2 + I2: 1,3 + G7: 4,7 + G8: 3,8 + I7: 1,3
* CNT   6 HDP CHAINS /  10 HYP OPENED

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

Details

Positions

1...5..7..4..6..9..79...5.4........63..64....9....31...2...9......4......56.372.. initial
13.95467..4.76..9.6793..5.4....9...63..64.9..96..731...2.5.9.6..9.426....56.372.9 autosolve
138954672542768391679312584217895436385641927964273158421589763793426815856137249 solved

Classification

level: medium

Pairing Analysis

--------------------------------------------------
* PAIRS (17)
C1: 2,8
A2: 2,5
E3: 1,8
I1: 2,8
G2: 3,8
A4: 2,5
B4: 1,8
C4: 4,7
B5: 1,8
D6: 2,8
H4: 3,4
C7: 1,3
A8: 7,8
C8: 1,3
A9: 4,8
E7: 1,8
D9: 1,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I2,H3: 1.. / I2 = 1  => 23 pairs (_) / H3 = 1  =>  0 pairs (X)
B4,B5: 1.. / B4 = 1  =>  0 pairs (*) / B5 = 1  =>  0 pairs (X)
C7,C8: 1.. / C7 = 1  => 16 pairs (_) / C8 = 1  => 15 pairs (_)
E7,D9: 1.. / E7 = 1  =>  0 pairs (X) / D9 = 1  => 16 pairs (_)
F2,I2: 1.. / F2 = 1  =>  0 pairs (X) / I2 = 1  => 23 pairs (_)
B5,F5: 1.. / B5 = 1  => 18 pairs (_) / F5 = 1  =>  0 pairs (*)
D9,H9: 1.. / D9 = 1  => 16 pairs (_) / H9 = 1  =>  0 pairs (X)
D4,D9: 1.. / D4 = 1  =>  0 pairs (X) / D9 = 1  => 16 pairs (_)
E3,E7: 1.. / E3 = 1  => 16 pairs (_) / E7 = 1  =>  0 pairs (X)
F2,F3: 2.. / F2 = 2  =>  0 pairs (X) / F3 = 2  => 20 pairs (_)
D4,D6: 2.. / D4 = 2  =>  0 pairs (X) / D6 = 2  => 21 pairs (_)
C1,I1: 2.. / C1 = 2  =>  0 pairs (X) / I1 = 2  => 19 pairs (_)
F3,H3: 2.. / F3 = 2  => 20 pairs (_) / H3 = 2  =>  0 pairs (X)
A4,D4: 2.. / A4 = 2  => 21 pairs (_) / D4 = 2  =>  0 pairs (X)
A2,A4: 2.. / A2 = 2  =>  0 pairs (X) / A4 = 2  => 21 pairs (_)
G2,I2: 3.. / G2 = 3  => 19 pairs (_) / I2 = 3  =>  0 pairs (X)
G4,H4: 3.. / G4 = 3  =>  0 pairs (X) / H4 = 3  => 17 pairs (_)
C7,C8: 3.. / C7 = 3  => 15 pairs (_) / C8 = 3  => 16 pairs (_)
H4,H8: 3.. / H4 = 3  => 17 pairs (_) / H8 = 3  =>  0 pairs (X)
C4,C6: 4.. / C4 = 4  => 21 pairs (_) / C6 = 4  => 21 pairs (_)
A7,A9: 4.. / A7 = 4  => 16 pairs (_) / A9 = 4  => 19 pairs (_)
G7,H9: 4.. / G7 = 4  => 19 pairs (_) / H9 = 4  => 16 pairs (_)
C6,H6: 4.. / C6 = 4  => 21 pairs (_) / H6 = 4  => 21 pairs (_)
A7,G7: 4.. / A7 = 4  => 16 pairs (_) / G7 = 4  => 19 pairs (_)
A9,H9: 4.. / A9 = 4  => 19 pairs (_) / H9 = 4  => 16 pairs (_)
G4,G7: 4.. / G4 = 4  => 16 pairs (_) / G7 = 4  => 19 pairs (_)
A2,C2: 5.. / A2 = 5  => 21 pairs (_) / C2 = 5  =>  0 pairs (X)
F4,F5: 5.. / F4 = 5  => 21 pairs (_) / F5 = 5  =>  0 pairs (X)
H8,I8: 5.. / H8 = 5  => 18 pairs (_) / I8 = 5  => 16 pairs (_)
A4,F4: 5.. / A4 = 5  =>  0 pairs (X) / F4 = 5  => 21 pairs (_)
A2,A4: 5.. / A2 = 5  => 21 pairs (_) / A4 = 5  =>  0 pairs (X)
C4,C5: 7.. / C4 = 7  => 21 pairs (_) / C5 = 7  => 21 pairs (_)
G4,I5: 7.. / G4 = 7  => 21 pairs (_) / I5 = 7  => 21 pairs (_)
A7,A8: 7.. / A7 = 7  =>  0 pairs (X) / A8 = 7  => 20 pairs (_)
C4,G4: 7.. / C4 = 7  => 21 pairs (_) / G4 = 7  => 21 pairs (_)
C5,I5: 7.. / C5 = 7  => 21 pairs (_) / I5 = 7  => 21 pairs (_)
C1,C2: 8.. / C1 = 8  => 19 pairs (_) / C2 = 8  =>  0 pairs (X)
B4,B5: 8.. / B4 = 8  => 18 pairs (_) / B5 = 8  =>  0 pairs (*)
E7,D9: 8.. / E7 = 8  => 16 pairs (_) / D9 = 8  =>  0 pairs (X)
C1,I1: 8.. / C1 = 8  => 19 pairs (_) / I1 = 8  =>  0 pairs (X)
E3,E7: 8.. / E3 = 8  =>  0 pairs (X) / E7 = 8  => 16 pairs (_)
* DURATION: 0:00:58.323762  START: 04:50:19.623207  END: 04:51:17.946969 2019-05-01
* CP COUNT: (41)
* SOLUTION FOUND

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A2,A4,A8,A9,B4,B5,C1,C4,C7,C8,D6,D9,E3,E7,G2,H4,I1)
* 13.95467..4.76..9.6793..5.4....9...63..64.9..96..731...2.5.9.6..9.426....56.372.9
* PAIR C1: 2,8 BLK 1
C2: 2,8,5                                # reduction candidate for 2,8
C2: 5 => CTR
* 13895467224576..9.6793.25.45..29...63..6459..96.8731.5.2.589.6..9.426.5..561372.9
C2: 2,8                                  # 21 pairs
* PAIR A2: 2,5 BLK 1
C2: 2,5,8                                # reduction candidate for 2,5
C2: 8 => CTR
* 13295467854876.39.6793..5142...954363.564.92796427318542.519.6..9.426.5..56.37249
C2: 2,5                                  # 19 pairs
* PAIR E3: 1,8 BLK 2
F2: 1,8,2                                # reduction candidate for 1,8
F2: 1,8                                  # 20 pairs
F3: 1,8,2                                # reduction candidate for 1,8
F3: 1,8 => CTR
* 1329546785487623916793..5242...957363.764.95296.2731...2.5.9.6..9.426....56.372.9
F3: 2                                    # 20 pairs
* PAIR E3: 1,8 ROW 3
H3: 1,8,2                                # reduction candidate for 1,8
H3: 2 => CTR
* 1329546785487623916793..5242...95.363..64.9.296.273185.2.5.9.6..9.426....56.372.9
H3: 1,8                                  # 20 pairs
* PAIR I1: 2,8 BLK 3
I2: 2,8,1,3                              # reduction candidate for 2,8
I2: 2,8 => CTR
* 13.95467..4.76139.679382514...19...63..64.9..96..731...2.5.9.6..9.426....56.372.9
I2: 1,3                                  # 18 pairs
H3: 2,8,1                                # reduction candidate for 2,8
H3: 2,8                                  # 23 pairs
* PAIR I1: 2,8 COL I
I5: 2,8,5,7                              # reduction candidate for 2,8
I5: 2,8 => CTR
* 13.95467..4576.893679318524..4.9.7363.764.9..96.873145.2.58946.89.426357456137289
I5: 5,7                                  # 18 pairs
I6: 2,8,5                                # reduction candidate for 2,8
I6: 2,8                                  # 23 pairs
* PAIR G2: 3,8 BLK 3
I2: 3,8,1,2                              # reduction candidate for 3,8
I2: 3,8 => CTR
* 13.95467..4.761.9.679382514...19...63..64.9..96..731...2.5.9.6..9.426....56.372.9
I2: 1,2                                  # 20 pairs
* PAIR G2: 3,8 COL G
G7: 3,8,4,7                              # reduction candidate for 3,8
G7: 3,8 => CTR
* 13.95467..4.76..9.6793..5.4....9.4363..64.9.7964.731...2.5.9.6..9.426....56.372.9
G7: 4,7                                  # 18 pairs
G8: 3,8,7                                # reduction candidate for 3,8
G8: 3,8                                  # 19 pairs
* PAIR A4: 2,5 BLK 4
C5: 2,5,7                                # reduction candidate for 2,5
C5: 2,5                                  # 21 pairs
C6: 2,5,4                                # reduction candidate for 2,5
C6: 2,5                                  # 21 pairs
* PAIR B4: 1,8 ROW 4
D4: 1,8,2                                # reduction candidate for 1,8
D4: 1,8                                  # 21 pairs
F4: 1,8,5                                # reduction candidate for 1,8
F4: 1,8 => CTR
* 13.95467.24576..9.67931258458.291..631.64592896287314..2.589.6..9.426....561372.9
F4: 5                                    # 21 pairs
* PAIR C4: 4,7 ROW 4
G4: 4,7,3                                # reduction candidate for 4,7
G4: 3 => CTR
* 13.95467..4.76.8936793..514..7.9.3463..64.9.7964.7315.723519468.9.426735456.372.9
G4: 4,7                                  # 17 pairs
* PAIR B5: 1,8 ROW 5
F5: 1,8,5                                # reduction candidate for 1,8
F5: 5 => CTR
* 13.95467.24576839167931258458.291.3631.64592896287314..2.589.6..9.426....561372.9
F5: 1,8                                  # 21 pairs
* PAIR D6: 2,8 BLK 5
D4: 2,8,1                                # reduction candidate for 2,8
D4: 1 => CTR
* 13.95467.54.76..9167938152428.195..631.648952965273148.2.519.6..91426....56837219
D4: 2,8                                  # 16 pairs
* PAIR D6: 2,8 ROW 6
H6: 2,8,4,5                              # reduction candidate for 2,8
H6: 2,8 => CTR
* 13.95467..4.76..9.6793..514..7.9.4363..64.9.7964.731.542.519768.9.426.5..56.37249
H6: 4,5                                  # 18 pairs
I6: 2,8,5                                # reduction candidate for 2,8
I6: 2,8                                  # 23 pairs
* PAIR H4: 3,4 BLK 6
G4: 3,4,7                                # reduction candidate for 3,4
G4: 7                                    # 21 pairs
G4: 3,4                                  # 21 pairs
* PAIR C7: 1,3 ROW 7
I7: 1,3,7,8                              # reduction candidate for 1,3
I7: 7,8                                  # 24 pairs
I7: 1,3                                  # 16 pairs
* PAIR A8: 7,8 BLK 7
A7: 7,8,4                                # reduction candidate for 7,8
A7: 7,8                                  # 19 pairs
A7: 4                                    # 16 pairs
* PAIR A8: 7,8 ROW 8
G8: 7,8,3                                # reduction candidate for 7,8
G8: 7,8                                  # 18 pairs
I8: 7,8,1,3,5                            # reduction candidate for 7,8
I8: 7,8 => CTR
* 13.95467..4.76.8936793..514....9..363..64.9..96..731...23519.6..9142635..56837249
I8: 1,3,5                                # 17 pairs
* PAIR C8: 1,3 ROW 8
H8: 1,3,5,8                              # reduction candidate for 1,3
H8: 1,3                                  # 16 pairs
I8: 1,3,5,7,8                            # reduction candidate for 1,3
I8: 1,3                                  # 20 pairs
* PAIR A9: 4,8 BLK 7
A7: 4,8,7                                # reduction candidate for 4,8
A7: 7 => CTR
* 13.95467..4.76.8936793..514....9...63..64.9..96..731..72351946889.426...456.372.9
A7: 4,8                                  # 20 pairs
* PAIR A9: 4,8 ROW 9
H9: 4,8,1                                # reduction candidate for 4,8
H9: 1 => CTR
* 13295467854876239167938152428.19573631764895.96.2731...2.51946..91426...456837219
H9: 4,8                                  # 16 pairs
* PAIR E7: 1,8 ROW 7
I7: 1,8,3,7                              # reduction candidate for 1,8
I7: 3,7                                  # 18 pairs
I7: 1,8                                  # 18 pairs
* PAIR D9: 1,8 ROW 9
H9: 1,8,4                                # reduction candidate for 1,8
H9: 1,8                                  # 19 pairs
H9: 4                                    # 16 pairs
* PAIR D9: 1,8 COL D
D4: 1,8,2                                # reduction candidate for 1,8
D4: 2 => CTR
* 13.95467.24576..9.67931258458.291..631.64592896287314..2.589.6..9.426....561372.9
D4: 1,8                                  # 21 pairs
* INCONCLUSIVE
* SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20190327-absurd-base-pr-000.dot
* REASONING
* DIS # C2: 5 => CTR => C2: 2,8
* DIS # C2: 8 => CTR => C2: 2,5
* DIS # F3: 1,8 => CTR => F3: 2
* DIS # H3: 2 => CTR => H3: 1,8
* DIS # I2: 2,8 => CTR => I2: 1,3
* DIS # I5: 2,8 => CTR => I5: 5,7
* DIS # I2: 3,8 => CTR => I2: 1,2
* DIS # G7: 3,8 => CTR => G7: 4,7
* DIS # F4: 1,8 => CTR => F4: 5
* DIS # G4: 3 => CTR => G4: 4,7
* DIS # F5: 5 => CTR => F5: 1,8
* DIS # D4: 1 => CTR => D4: 2,8
* DIS # H6: 2,8 => CTR => H6: 4,5
* DIS # I8: 7,8 => CTR => I8: 1,3,5
* DIS # A7: 7 => CTR => A7: 4,8
* DIS # H9: 1 => CTR => H9: 4,8
* DIS # D4: 2 => CTR => D4: 1,8
* CNT  17 HDP CHAINS /  55 HYP OPENED

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A2,A4,A8,A9,B4,B5,C1,C4,C7,C8,D6,D9,E3,E7,G2,H4,I1)
* 13.95467..4.76..9.6793..5.4....9...63..64.9..96..731...2.5.9.6..9.426....56.372.9
* PAIR C1: 2,8 BLK 1
C2: 2,8,5                                # reduction candidate for 2,8
C2: 5 => CTR
* 13895467224576..9.6793.25.45..29...63..6459..96.8731.5.2.589.6..9.426.5..561372.9
* PAIR E3: 1,8 BLK 2
F2: 1,8,2                                # reduction candidate for 1,8
F2: 1,8                                  # 23 pairs
F3: 1,8,2                                # reduction candidate for 1,8
F3: 1,8 => CTR
* 13.95467.54.762.916793..5242...95..63..64.952965273148.2.5.9.6..9.426....56.372.9
* RESTART
* PAIR I1: 2,8 BLK 3
I2: 2,8,1,3                              # reduction candidate for 2,8
I2: 2,8 => CTR
* 13.95467.54.76139.6793825142..195..63..64.92.96.2731...2.5.9.6..9.426....56.372.9
* PAIR G2: 3,8 COL G
G7: 3,8,4,7                              # reduction candidate for 3,8
G7: 3,8 => CTR
* 13895467254276..9.6793.25.42...954363..64.9279642731...2.5.9.6..9.426....56.372.9
G8: 3,8,7                                # reduction candidate for 3,8
G8: 3,8                                  # 23 pairs
* RESTART
* PAIR G2: 3,8 COL G
G8: 3,8,7                                # reduction candidate for 3,8
G8: 7 => CTR
* 13895467254276.8936793825142...953463..6489279642731...23519.6..9.426....56.372.9
* PAIR RESTART
* PAIR C7: 1,3 ROW 7
I7: 1,3,7,8                              # reduction candidate for 1,3
I7: 1,3 => SOLVED
* 138954672542768391679312584217895436385641927964273158421589763793426815856137249
* DURATION: 0:00:10.130844  START: 04:51:58.084565  END: 04:52:08.215409 2019-05-01
* SOLUTION FOUND
* SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20190327-absurd-base-pr-001.dot
* REASONING
* DIS # C2: 5 => CTR => C2: 2,8
* DIS C2: 2,8 # F3: 1,8 => CTR => F3: 2
* DIS C2: 2,8 + F3: 2 # I2: 2,8 => CTR => I2: 1,3
* DIS C2: 2,8 + F3: 2 + I2: 1,3 # G7: 3,8 => CTR => G7: 4,7
* DIS C2: 2,8 + F3: 2 + I2: 1,3 + G7: 4,7 # G8: 7 => CTR => G8: 3,8
* PRF C2: 2,8 + F3: 2 + I2: 1,3 + G7: 4,7 + G8: 3,8 # I7: 1,3 => SOL
* STA C2: 2,8 + F3: 2 + I2: 1,3 + G7: 4,7 + G8: 3,8 + I7: 1,3
* CNT   6 HDP CHAINS /  10 HYP OPENED

Header Info

http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Mar&YEAR=2019, 20190327, absurd

Solution

position: 138954672542768391679312584217895436385641927964273158421589763793426815856137249 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 # C2: 2,8 => UNS
* DIS # C2: 5 => CTR => C2: 2,8
* INC # C2: 2,5 => UNS
* DIS # C2: 8 => CTR => C2: 2,5
* INC # F2: 1,8 => UNS
* DIS # F3: 1,8 => CTR => F3: 2
* INC # F3: 2 => UNS
* INC # H3: 1,8 => UNS
* DIS # H3: 2 => CTR => H3: 1,8
* DIS # I2: 2,8 => CTR => I2: 1,3
* INC # I2: 1,3 => UNS
* INC # H3: 2,8 => UNS
* DIS # I5: 2,8 => CTR => I5: 5,7
* INC # I5: 5,7 => UNS
* INC # I6: 2,8 => UNS
* DIS # I2: 3,8 => CTR => I2: 1,2
* INC # I2: 1,2 => UNS
* DIS # G7: 3,8 => CTR => G7: 4,7
* INC # G7: 4,7 => UNS
* INC # G8: 3,8 => UNS
* INC # C5: 2,5 => UNS
* INC # C6: 2,5 => UNS
* INC # D4: 1,8 => UNS
* DIS # F4: 1,8 => CTR => F4: 5
* INC # F4: 5 => UNS
* INC # G4: 4,7 => UNS
* DIS # G4: 3 => CTR => G4: 4,7
* INC # F5: 1,8 => UNS
* DIS # F5: 5 => CTR => F5: 1,8
* INC # D4: 2,8 => UNS
* DIS # D4: 1 => CTR => D4: 2,8
* DIS # H6: 2,8 => CTR => H6: 4,5
* INC # H6: 4,5 => UNS
* INC # I6: 2,8 => UNS
* INC # G4: 3,4 => UNS
* INC # G4: 7 => UNS
* INC # I7: 1,3 => UNS
* INC # I7: 7,8 => UNS
* INC # A7: 7,8 => UNS
* INC # A7: 4 => UNS
* INC # G8: 7,8 => UNS
* DIS # I8: 7,8 => CTR => I8: 1,3,5
* INC # I8: 1,3,5 => UNS
* INC # H8: 1,3 => UNS
* INC # I8: 1,3 => UNS
* INC # A7: 4,8 => UNS
* DIS # A7: 7 => CTR => A7: 4,8
* INC # H9: 4,8 => UNS
* DIS # H9: 1 => CTR => H9: 4,8
* INC # I7: 1,8 => UNS
* INC # I7: 3,7 => UNS
* INC # H9: 1,8 => UNS
* INC # H9: 4 => UNS
* INC # D4: 1,8 => UNS
* DIS # D4: 2 => CTR => D4: 1,8
* CNT  55 HDP CHAINS /  55 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # C2: 2,8 => UNS
* DIS # C2: 5 => CTR => C2: 2,8
* INC C2: 2,8 # F2: 1,8 => UNS
* DIS C2: 2,8 # F3: 1,8 => CTR => F3: 2
* DIS C2: 2,8 + F3: 2 # I2: 2,8 => CTR => I2: 1,3
* DIS C2: 2,8 + F3: 2 + I2: 1,3 # G7: 3,8 => CTR => G7: 4,7
* INC C2: 2,8 + F3: 2 + I2: 1,3 + G7: 4,7 # G8: 3,8 => UNS
* INC C2: 2,8 + F3: 2 + I2: 1,3 + G7: 4,7 # G8: 3,8 => UNS
* DIS C2: 2,8 + F3: 2 + I2: 1,3 + G7: 4,7 # G8: 7 => CTR => G8: 3,8
* PRF C2: 2,8 + F3: 2 + I2: 1,3 + G7: 4,7 + G8: 3,8 # I7: 1,3 => SOL
* STA C2: 2,8 + F3: 2 + I2: 1,3 + G7: 4,7 + G8: 3,8 + I7: 1,3
* CNT  10 HDP CHAINS /  10 HYP OPENED