Analysis of xx-ph-02345862-2019_05_01-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7...5..8........7.46.8...9......34............9.4....7..2..6.....1...96. initial

Autosolve

position: 98.7..6..7...5..8........7.46.8...9......34............9.4....7..2..6.....1...96. autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.177514

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000013

List of important HDP chains detected for B8,E8: 7..:

* DIS # E8: 7 # B3: 1,2 => CTR => B3: 3,5
* DIS # E8: 7 + B3: 3,5 # D3: 1,2 => CTR => D3: 3
* DIS # E8: 7 + B3: 3,5 + D3: 3 => CTR => E8: 1,3,8,9
* STA E8: 1,3,8,9
* CNT   3 HDP CHAINS /   5 HYP OPENED

List of important HDP chains detected for B8,B9: 7..:

* DIS # B9: 7 # B3: 1,2 => CTR => B3: 3,5
* DIS # B9: 7 + B3: 3,5 # D3: 1,2 => CTR => D3: 3
* DIS # B9: 7 + B3: 3,5 + D3: 3 => CTR => B9: 4
* STA B9: 4
* CNT   3 HDP CHAINS /   5 HYP OPENED

List of important HDP chains detected for B9,I9: 4..:

* DIS # I9: 4 # B3: 1,2 => CTR => B3: 3,5
* DIS # I9: 4 + B3: 3,5 # D3: 1,2 => CTR => D3: 3
* DIS # I9: 4 + B3: 3,5 + D3: 3 => CTR => I9: 2,3,5,8
* STA I9: 2,3,5,8
* CNT   3 HDP CHAINS /   5 HYP OPENED

List of important HDP chains detected for B8,B9: 4..:

* DIS # B8: 4 # B3: 1,2 => CTR => B3: 3,5
* DIS # B8: 4 + B3: 3,5 # D3: 1,2 => CTR => D3: 3
* DIS # B8: 4 + B3: 3,5 + D3: 3 => CTR => B8: 7
* STA B8: 7
* CNT   3 HDP CHAINS /   5 HYP OPENED

List of important HDP chains detected for G4,G6: 7..:

* DIS # G4: 7 # E5: 1,2 => CTR => E5: 6,7,9
* DIS # G4: 7 + E5: 6,7,9 # E6: 1,2 => CTR => E6: 4,6,7,9
* CNT   2 HDP CHAINS /  81 HYP OPENED

List of important HDP chains detected for A3,A7: 6..:

* DIS # A3: 6 # F2: 1,2 => CTR => F2: 9
* CNT   1 HDP CHAINS /  69 HYP OPENED

List of important HDP chains detected for A7,C7: 6..:

* DIS # C7: 6 # F2: 1,2 => CTR => F2: 9
* CNT   1 HDP CHAINS /  69 HYP OPENED

List of important HDP chains detected for H1,H8: 4..:

* DIS # H1: 4 # F2: 1,2 => CTR => F2: 4,9
* DIS # H1: 4 + F2: 4,9 # E3: 1,2 => CTR => E3: 3,4,6,8,9
* DIS # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 # F3: 1,2 => CTR => F3: 4,8,9
* CNT   3 HDP CHAINS /  49 HYP OPENED

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

Details

This sudoku is deep. Here is some information that may be helpful on how to proceed.

Positions

98.7..6..7...5..8........7.46.8...9......34............9.4....7..2..6.....1...96. initial
98.7..6..7...5..8........7.46.8...9......34............9.4....7..2..6.....1...96. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
B8: 4,7
B9: 4,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E6,F6: 4.. / E6 = 4  =>  2 pairs (_) / F6 = 4  =>  3 pairs (_)
B8,B9: 4.. / B8 = 4  => 12 pairs (_) / B9 = 4  =>  0 pairs (_)
B9,I9: 4.. / B9 = 4  =>  0 pairs (_) / I9 = 4  => 12 pairs (_)
H1,H8: 4.. / H1 = 4  =>  4 pairs (_) / H8 = 4  =>  0 pairs (_)
I5,I6: 6.. / I5 = 6  =>  2 pairs (_) / I6 = 6  =>  4 pairs (_)
A7,C7: 6.. / A7 = 6  =>  2 pairs (_) / C7 = 6  =>  8 pairs (_)
C2,D2: 6.. / C2 = 6  =>  2 pairs (_) / D2 = 6  =>  3 pairs (_)
A3,A7: 6.. / A3 = 6  =>  8 pairs (_) / A7 = 6  =>  2 pairs (_)
G4,G6: 7.. / G4 = 7  =>  9 pairs (_) / G6 = 7  =>  4 pairs (_)
B8,B9: 7.. / B8 = 7  =>  0 pairs (_) / B9 = 7  => 12 pairs (_)
C5,E5: 7.. / C5 = 7  =>  6 pairs (_) / E5 = 7  =>  1 pairs (_)
B8,E8: 7.. / B8 = 7  =>  0 pairs (_) / E8 = 7  => 12 pairs (_)
E3,F3: 8.. / E3 = 8  =>  2 pairs (_) / F3 = 8  =>  2 pairs (_)
I2,I3: 9.. / I2 = 9  =>  2 pairs (_) / I3 = 9  =>  2 pairs (_)
C5,C6: 9.. / C5 = 9  =>  1 pairs (_) / C6 = 9  =>  2 pairs (_)
D8,E8: 9.. / D8 = 9  =>  4 pairs (_) / E8 = 9  =>  0 pairs (_)
* DURATION: 0:00:13.109549  START: 05:30:05.418125  END: 05:30:18.527674 2020-09-23
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B8,E8: 7.. / B8 = 7  =>  0 pairs (_) / E8 = 7 ==>  0 pairs (X)
B8,B9: 7.. / B8 = 7  =>  0 pairs (_) / B9 = 7 ==>  0 pairs (X)
B9,I9: 4.. / B9 = 4  =>  0 pairs (_) / I9 = 4 ==>  0 pairs (X)
B8,B9: 4.. / B8 = 4 ==>  0 pairs (X) / B9 = 4  =>  0 pairs (_)
G4,G6: 7.. / G4 = 7 ==>  9 pairs (_) / G6 = 7 ==>  4 pairs (_)
A3,A7: 6.. / A3 = 6 ==>  8 pairs (_) / A7 = 6 ==>  2 pairs (_)
A7,C7: 6.. / A7 = 6 ==>  2 pairs (_) / C7 = 6 ==>  8 pairs (_)
C5,E5: 7.. / C5 = 7 ==>  6 pairs (_) / E5 = 7 ==>  1 pairs (_)
I5,I6: 6.. / I5 = 6 ==>  2 pairs (_) / I6 = 6 ==>  4 pairs (_)
D8,E8: 9.. / D8 = 9 ==>  4 pairs (_) / E8 = 9 ==>  0 pairs (_)
H1,H8: 4.. / H1 = 4 ==>  5 pairs (_) / H8 = 4 ==>  0 pairs (_)
C2,D2: 6.. / C2 = 6 ==>  2 pairs (_) / D2 = 6 ==>  3 pairs (_)
E6,F6: 4.. / E6 = 4 ==>  2 pairs (_) / F6 = 4 ==>  3 pairs (_)
I2,I3: 9.. / I2 = 9 ==>  2 pairs (_) / I3 = 9 ==>  2 pairs (_)
E3,F3: 8.. / E3 = 8 ==>  2 pairs (_) / F3 = 8 ==>  2 pairs (_)
C5,C6: 9.. / C5 = 9 ==>  1 pairs (_) / C6 = 9 ==>  2 pairs (_)
* DURATION: 0:04:06.881856  START: 05:30:19.283691  END: 05:34:26.165547 2020-09-23
* REASONING B8,E8: 7..
* DIS # E8: 7 # B3: 1,2 => CTR => B3: 3,5
* DIS # E8: 7 + B3: 3,5 # D3: 1,2 => CTR => D3: 3
* DIS # E8: 7 + B3: 3,5 + D3: 3 => CTR => E8: 1,3,8,9
* STA E8: 1,3,8,9
* CNT   3 HDP CHAINS /   5 HYP OPENED
* REASONING B8,B9: 7..
* DIS # B9: 7 # B3: 1,2 => CTR => B3: 3,5
* DIS # B9: 7 + B3: 3,5 # D3: 1,2 => CTR => D3: 3
* DIS # B9: 7 + B3: 3,5 + D3: 3 => CTR => B9: 4
* STA B9: 4
* CNT   3 HDP CHAINS /   5 HYP OPENED
* REASONING B9,I9: 4..
* DIS # I9: 4 # B3: 1,2 => CTR => B3: 3,5
* DIS # I9: 4 + B3: 3,5 # D3: 1,2 => CTR => D3: 3
* DIS # I9: 4 + B3: 3,5 + D3: 3 => CTR => I9: 2,3,5,8
* STA I9: 2,3,5,8
* CNT   3 HDP CHAINS /   5 HYP OPENED
* REASONING B8,B9: 4..
* DIS # B8: 4 # B3: 1,2 => CTR => B3: 3,5
* DIS # B8: 4 + B3: 3,5 # D3: 1,2 => CTR => D3: 3
* DIS # B8: 4 + B3: 3,5 + D3: 3 => CTR => B8: 7
* STA B8: 7
* CNT   3 HDP CHAINS /   5 HYP OPENED
* REASONING G4,G6: 7..
* DIS # G4: 7 # E5: 1,2 => CTR => E5: 6,7,9
* DIS # G4: 7 + E5: 6,7,9 # E6: 1,2 => CTR => E6: 4,6,7,9
* CNT   2 HDP CHAINS /  81 HYP OPENED
* REASONING A3,A7: 6..
* DIS # A3: 6 # F2: 1,2 => CTR => F2: 9
* CNT   1 HDP CHAINS /  69 HYP OPENED
* REASONING A7,C7: 6..
* DIS # C7: 6 # F2: 1,2 => CTR => F2: 9
* CNT   1 HDP CHAINS /  69 HYP OPENED
* REASONING H1,H8: 4..
* DIS # H1: 4 # F2: 1,2 => CTR => F2: 4,9
* DIS # H1: 4 + F2: 4,9 # E3: 1,2 => CTR => E3: 3,4,6,8,9
* DIS # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 # F3: 1,2 => CTR => F3: 4,8,9
* CNT   3 HDP CHAINS /  49 HYP OPENED
* DCP COUNT: (16)
* CLUE FOUND

Header Info

2345862;2019_05_01;PAQ;22;11.60;10.70;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B8,E8: 7..:

* INC # E8: 7 # B3: 3,5 => UNS
* DIS # E8: 7 # B3: 1,2 => CTR => B3: 3,5
* DIS # E8: 7 + B3: 3,5 # D3: 1,2 => CTR => D3: 3
* DIS # E8: 7 + B3: 3,5 + D3: 3 => CTR => E8: 1,3,8,9
* INC E8: 1,3,8,9 # B8: 7 => UNS
* STA E8: 1,3,8,9
* CNT   5 HDP CHAINS /   5 HYP OPENED

Full list of HDP chains traversed for B8,B9: 7..:

* INC # B9: 7 # B3: 3,5 => UNS
* DIS # B9: 7 # B3: 1,2 => CTR => B3: 3,5
* DIS # B9: 7 + B3: 3,5 # D3: 1,2 => CTR => D3: 3
* DIS # B9: 7 + B3: 3,5 + D3: 3 => CTR => B9: 4
* INC B9: 4 # B8: 7 => UNS
* STA B9: 4
* CNT   5 HDP CHAINS /   5 HYP OPENED

Full list of HDP chains traversed for B9,I9: 4..:

* INC # I9: 4 # B3: 3,5 => UNS
* DIS # I9: 4 # B3: 1,2 => CTR => B3: 3,5
* DIS # I9: 4 + B3: 3,5 # D3: 1,2 => CTR => D3: 3
* DIS # I9: 4 + B3: 3,5 + D3: 3 => CTR => I9: 2,3,5,8
* INC I9: 2,3,5,8 # B9: 4 => UNS
* STA I9: 2,3,5,8
* CNT   5 HDP CHAINS /   5 HYP OPENED

Full list of HDP chains traversed for B8,B9: 4..:

* INC # B8: 4 # B3: 3,5 => UNS
* DIS # B8: 4 # B3: 1,2 => CTR => B3: 3,5
* DIS # B8: 4 + B3: 3,5 # D3: 1,2 => CTR => D3: 3
* DIS # B8: 4 + B3: 3,5 + D3: 3 => CTR => B8: 7
* INC B8: 7 # B9: 4 => UNS
* STA B8: 7
* CNT   5 HDP CHAINS /   5 HYP OPENED

Full list of HDP chains traversed for G4,G6: 7..:

* INC # G4: 7 # B2: 1,2 => UNS
* INC # G4: 7 # B3: 1,2 => UNS
* INC # G4: 7 # D3: 1,2 => UNS
* INC # G4: 7 # E3: 1,2 => UNS
* INC # G4: 7 # F3: 1,2 => UNS
* INC # G4: 7 # G3: 1,2 => UNS
* INC # G4: 7 # I3: 1,2 => UNS
* INC # G4: 7 # A5: 1,2 => UNS
* INC # G4: 7 # A6: 1,2 => UNS
* INC # G4: 7 # B6: 3,5 => UNS
* INC # G4: 7 # B6: 1,2 => UNS
* INC # G4: 7 # I4: 3,5 => UNS
* INC # G4: 7 # I4: 1,2 => UNS
* INC # G4: 7 # C1: 3,5 => UNS
* INC # G4: 7 # C3: 3,5 => UNS
* INC # G4: 7 # E5: 7,9 => UNS
* INC # G4: 7 # E5: 1,2,6 => UNS
* INC # G4: 7 # E6: 7,9 => UNS
* INC # G4: 7 # F6: 7,9 => UNS
* INC # G4: 7 # F4: 1,2 => UNS
* INC # G4: 7 # D5: 1,2 => UNS
* DIS # G4: 7 # E5: 1,2 => CTR => E5: 6,7,9
* INC # G4: 7 + E5: 6,7,9 # D6: 1,2 => UNS
* DIS # G4: 7 + E5: 6,7,9 # E6: 1,2 => CTR => E6: 4,6,7,9
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # F6: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # I4: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # I4: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # E1: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # E3: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # E7: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # F4: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # D5: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # D6: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # F6: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # I4: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # I4: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # E1: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # E3: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # E7: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # D8: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # G8: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # H8: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # I8: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # D9: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # I9: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # B2: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # B3: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # D3: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # E3: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # F3: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # G3: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # I3: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # A5: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # A6: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # B6: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # B6: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # I4: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # I4: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # C1: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # C3: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # E5: 7,9 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # E5: 6 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # E6: 7,9 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # F6: 7,9 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # F4: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # D5: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # D6: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # F6: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # I4: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # I4: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # E1: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # E3: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # E7: 1,2 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # D8: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # G8: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # H8: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # I8: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # D9: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 # I9: 3,5 => UNS
* INC # G4: 7 + E5: 6,7,9 + E6: 4,6,7,9 => UNS
* INC # G6: 7 => UNS
* CNT  81 HDP CHAINS /  81 HYP OPENED

Full list of HDP chains traversed for A3,A7: 6..:

* DIS # A3: 6 # F2: 1,2 => CTR => F2: 9
* INC # A3: 6 + F2: 9 # G2: 1,2 => UNS
* INC # A3: 6 + F2: 9 # I2: 1,2 => UNS
* INC # A3: 6 + F2: 9 # G2: 1,2 => UNS
* INC # A3: 6 + F2: 9 # I2: 1,2 => UNS
* INC # A3: 6 + F2: 9 # C1: 3,4 => UNS
* INC # A3: 6 + F2: 9 # C3: 3,4 => UNS
* INC # A3: 6 + F2: 9 # I2: 3,4 => UNS
* INC # A3: 6 + F2: 9 # I2: 1,2 => UNS
* INC # A3: 6 + F2: 9 # D3: 1,2 => UNS
* INC # A3: 6 + F2: 9 # E3: 1,2 => UNS
* INC # A3: 6 + F2: 9 # F3: 1,2 => UNS
* INC # A3: 6 + F2: 9 # G3: 1,2 => UNS
* INC # A3: 6 + F2: 9 # E1: 1,2 => UNS
* INC # A3: 6 + F2: 9 # D3: 1,2 => UNS
* INC # A3: 6 + F2: 9 # E3: 1,2 => UNS
* INC # A3: 6 + F2: 9 # F3: 1,2 => UNS
* INC # A3: 6 + F2: 9 # H1: 1,2 => UNS
* INC # A3: 6 + F2: 9 # I1: 1,2 => UNS
* INC # A3: 6 + F2: 9 # F4: 1,2 => UNS
* INC # A3: 6 + F2: 9 # F7: 1,2 => UNS
* INC # A3: 6 + F2: 9 # D6: 1,2 => UNS
* INC # A3: 6 + F2: 9 # H6: 1,2 => UNS
* INC # A3: 6 + F2: 9 # F4: 1,2 => UNS
* INC # A3: 6 + F2: 9 # D6: 1,2 => UNS
* INC # A3: 6 + F2: 9 # G4: 1,2 => UNS
* INC # A3: 6 + F2: 9 # I4: 1,2 => UNS
* INC # A3: 6 + F2: 9 # E1: 1,2 => UNS
* INC # A3: 6 + F2: 9 # E3: 1,2 => UNS
* INC # A3: 6 + F2: 9 # E7: 1,2 => UNS
* INC # A3: 6 + F2: 9 # G4: 1,2 => UNS
* INC # A3: 6 + F2: 9 # I4: 1,2 => UNS
* INC # A3: 6 + F2: 9 # H6: 1,2 => UNS
* INC # A3: 6 + F2: 9 # H1: 1,2 => UNS
* INC # A3: 6 + F2: 9 # H7: 1,2 => UNS
* INC # A3: 6 + F2: 9 # G2: 1,2 => UNS
* INC # A3: 6 + F2: 9 # I2: 1,2 => UNS
* INC # A3: 6 + F2: 9 # C1: 3,4 => UNS
* INC # A3: 6 + F2: 9 # C3: 3,4 => UNS
* INC # A3: 6 + F2: 9 # I2: 3,4 => UNS
* INC # A3: 6 + F2: 9 # I2: 1,2 => UNS
* INC # A3: 6 + F2: 9 # D3: 1,2 => UNS
* INC # A3: 6 + F2: 9 # E3: 1,2 => UNS
* INC # A3: 6 + F2: 9 # F3: 1,2 => UNS
* INC # A3: 6 + F2: 9 # G3: 1,2 => UNS
* INC # A3: 6 + F2: 9 # E1: 1,2 => UNS
* INC # A3: 6 + F2: 9 # D3: 1,2 => UNS
* INC # A3: 6 + F2: 9 # E3: 1,2 => UNS
* INC # A3: 6 + F2: 9 # F3: 1,2 => UNS
* INC # A3: 6 + F2: 9 # H1: 1,2 => UNS
* INC # A3: 6 + F2: 9 # I1: 1,2 => UNS
* INC # A3: 6 + F2: 9 # F4: 1,2 => UNS
* INC # A3: 6 + F2: 9 # F7: 1,2 => UNS
* INC # A3: 6 + F2: 9 # D6: 1,2 => UNS
* INC # A3: 6 + F2: 9 # H6: 1,2 => UNS
* INC # A3: 6 + F2: 9 # F4: 1,2 => UNS
* INC # A3: 6 + F2: 9 # D6: 1,2 => UNS
* INC # A3: 6 + F2: 9 # G4: 1,2 => UNS
* INC # A3: 6 + F2: 9 # I4: 1,2 => UNS
* INC # A3: 6 + F2: 9 # E1: 1,2 => UNS
* INC # A3: 6 + F2: 9 # E3: 1,2 => UNS
* INC # A3: 6 + F2: 9 # E7: 1,2 => UNS
* INC # A3: 6 + F2: 9 # G4: 1,2 => UNS
* INC # A3: 6 + F2: 9 # I4: 1,2 => UNS
* INC # A3: 6 + F2: 9 # H6: 1,2 => UNS
* INC # A3: 6 + F2: 9 # H1: 1,2 => UNS
* INC # A3: 6 + F2: 9 # H7: 1,2 => UNS
* INC # A3: 6 + F2: 9 => UNS
* INC # A7: 6 => UNS
* CNT  69 HDP CHAINS /  69 HYP OPENED

Full list of HDP chains traversed for A7,C7: 6..:

* DIS # C7: 6 # F2: 1,2 => CTR => F2: 9
* INC # C7: 6 + F2: 9 # G2: 1,2 => UNS
* INC # C7: 6 + F2: 9 # I2: 1,2 => UNS
* INC # C7: 6 + F2: 9 # G2: 1,2 => UNS
* INC # C7: 6 + F2: 9 # I2: 1,2 => UNS
* INC # C7: 6 + F2: 9 # C1: 3,4 => UNS
* INC # C7: 6 + F2: 9 # C3: 3,4 => UNS
* INC # C7: 6 + F2: 9 # I2: 3,4 => UNS
* INC # C7: 6 + F2: 9 # I2: 1,2 => UNS
* INC # C7: 6 + F2: 9 # D3: 1,2 => UNS
* INC # C7: 6 + F2: 9 # E3: 1,2 => UNS
* INC # C7: 6 + F2: 9 # F3: 1,2 => UNS
* INC # C7: 6 + F2: 9 # G3: 1,2 => UNS
* INC # C7: 6 + F2: 9 # E1: 1,2 => UNS
* INC # C7: 6 + F2: 9 # D3: 1,2 => UNS
* INC # C7: 6 + F2: 9 # E3: 1,2 => UNS
* INC # C7: 6 + F2: 9 # F3: 1,2 => UNS
* INC # C7: 6 + F2: 9 # H1: 1,2 => UNS
* INC # C7: 6 + F2: 9 # I1: 1,2 => UNS
* INC # C7: 6 + F2: 9 # F4: 1,2 => UNS
* INC # C7: 6 + F2: 9 # F7: 1,2 => UNS
* INC # C7: 6 + F2: 9 # D6: 1,2 => UNS
* INC # C7: 6 + F2: 9 # H6: 1,2 => UNS
* INC # C7: 6 + F2: 9 # F4: 1,2 => UNS
* INC # C7: 6 + F2: 9 # D6: 1,2 => UNS
* INC # C7: 6 + F2: 9 # G4: 1,2 => UNS
* INC # C7: 6 + F2: 9 # I4: 1,2 => UNS
* INC # C7: 6 + F2: 9 # E1: 1,2 => UNS
* INC # C7: 6 + F2: 9 # E3: 1,2 => UNS
* INC # C7: 6 + F2: 9 # E7: 1,2 => UNS
* INC # C7: 6 + F2: 9 # G4: 1,2 => UNS
* INC # C7: 6 + F2: 9 # I4: 1,2 => UNS
* INC # C7: 6 + F2: 9 # H6: 1,2 => UNS
* INC # C7: 6 + F2: 9 # H1: 1,2 => UNS
* INC # C7: 6 + F2: 9 # H7: 1,2 => UNS
* INC # C7: 6 + F2: 9 # G2: 1,2 => UNS
* INC # C7: 6 + F2: 9 # I2: 1,2 => UNS
* INC # C7: 6 + F2: 9 # C1: 3,4 => UNS
* INC # C7: 6 + F2: 9 # C3: 3,4 => UNS
* INC # C7: 6 + F2: 9 # I2: 3,4 => UNS
* INC # C7: 6 + F2: 9 # I2: 1,2 => UNS
* INC # C7: 6 + F2: 9 # D3: 1,2 => UNS
* INC # C7: 6 + F2: 9 # E3: 1,2 => UNS
* INC # C7: 6 + F2: 9 # F3: 1,2 => UNS
* INC # C7: 6 + F2: 9 # G3: 1,2 => UNS
* INC # C7: 6 + F2: 9 # E1: 1,2 => UNS
* INC # C7: 6 + F2: 9 # D3: 1,2 => UNS
* INC # C7: 6 + F2: 9 # E3: 1,2 => UNS
* INC # C7: 6 + F2: 9 # F3: 1,2 => UNS
* INC # C7: 6 + F2: 9 # H1: 1,2 => UNS
* INC # C7: 6 + F2: 9 # I1: 1,2 => UNS
* INC # C7: 6 + F2: 9 # F4: 1,2 => UNS
* INC # C7: 6 + F2: 9 # F7: 1,2 => UNS
* INC # C7: 6 + F2: 9 # D6: 1,2 => UNS
* INC # C7: 6 + F2: 9 # H6: 1,2 => UNS
* INC # C7: 6 + F2: 9 # F4: 1,2 => UNS
* INC # C7: 6 + F2: 9 # D6: 1,2 => UNS
* INC # C7: 6 + F2: 9 # G4: 1,2 => UNS
* INC # C7: 6 + F2: 9 # I4: 1,2 => UNS
* INC # C7: 6 + F2: 9 # E1: 1,2 => UNS
* INC # C7: 6 + F2: 9 # E3: 1,2 => UNS
* INC # C7: 6 + F2: 9 # E7: 1,2 => UNS
* INC # C7: 6 + F2: 9 # G4: 1,2 => UNS
* INC # C7: 6 + F2: 9 # I4: 1,2 => UNS
* INC # C7: 6 + F2: 9 # H6: 1,2 => UNS
* INC # C7: 6 + F2: 9 # H1: 1,2 => UNS
* INC # C7: 6 + F2: 9 # H7: 1,2 => UNS
* INC # C7: 6 + F2: 9 => UNS
* INC # A7: 6 => UNS
* CNT  69 HDP CHAINS /  69 HYP OPENED

Full list of HDP chains traversed for C5,E5: 7..:

* INC # C5: 7 # B2: 1,2 => UNS
* INC # C5: 7 # B3: 1,2 => UNS
* INC # C5: 7 # D3: 1,2 => UNS
* INC # C5: 7 # E3: 1,2 => UNS
* INC # C5: 7 # F3: 1,2 => UNS
* INC # C5: 7 # G3: 1,2 => UNS
* INC # C5: 7 # I3: 1,2 => UNS
* INC # C5: 7 # A5: 1,2 => UNS
* INC # C5: 7 # A6: 1,2 => UNS
* INC # C5: 7 # B6: 3,5 => UNS
* INC # C5: 7 # B6: 1,2 => UNS
* INC # C5: 7 # G4: 3,5 => UNS
* INC # C5: 7 # I4: 3,5 => UNS
* INC # C5: 7 # C1: 3,5 => UNS
* INC # C5: 7 # C3: 3,5 => UNS
* INC # C5: 7 # D8: 3,5 => UNS
* INC # C5: 7 # G8: 3,5 => UNS
* INC # C5: 7 # H8: 3,5 => UNS
* INC # C5: 7 # I8: 3,5 => UNS
* INC # C5: 7 # D9: 3,5 => UNS
* INC # C5: 7 # I9: 3,5 => UNS
* INC # C5: 7 => UNS
* INC # E5: 7 # F4: 1,2 => UNS
* INC # E5: 7 # D5: 1,2 => UNS
* INC # E5: 7 # D6: 1,2 => UNS
* INC # E5: 7 # E6: 1,2 => UNS
* INC # E5: 7 # F6: 1,2 => UNS
* INC # E5: 7 # G4: 1,2 => UNS
* INC # E5: 7 # I4: 1,2 => UNS
* INC # E5: 7 # E1: 1,2 => UNS
* INC # E5: 7 # E3: 1,2 => UNS
* INC # E5: 7 # E7: 1,2 => UNS
* INC # E5: 7 => UNS
* CNT  33 HDP CHAINS /  33 HYP OPENED

Full list of HDP chains traversed for I5,I6: 6..:

* INC # I6: 6 # C6: 7,9 => UNS
* INC # I6: 6 # C6: 3,5,8 => UNS
* INC # I6: 6 # E5: 7,9 => UNS
* INC # I6: 6 # E5: 6 => UNS
* INC # I6: 6 # E5: 6,9 => UNS
* INC # I6: 6 # E5: 7 => UNS
* INC # I6: 6 # D2: 6,9 => UNS
* INC # I6: 6 # D3: 6,9 => UNS
* INC # I6: 6 => UNS
* INC # I5: 6 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for D8,E8: 9..:

* INC # D8: 9 # C6: 7,9 => UNS
* INC # D8: 9 # C6: 3,5,8 => UNS
* INC # D8: 9 # E6: 7,9 => UNS
* INC # D8: 9 # F6: 7,9 => UNS
* INC # D8: 9 => UNS
* INC # E8: 9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for H1,H8: 4..:

* INC # H1: 4 # A3: 3,5 => UNS
* INC # H1: 4 # B3: 3,5 => UNS
* INC # H1: 4 # C3: 3,5 => UNS
* INC # H1: 4 # I1: 3,5 => UNS
* INC # H1: 4 # I1: 1,2 => UNS
* INC # H1: 4 # C4: 3,5 => UNS
* INC # H1: 4 # C6: 3,5 => UNS
* INC # H1: 4 # C7: 3,5 => UNS
* INC # H1: 4 # E1: 1,2 => UNS
* INC # H1: 4 # D2: 1,2 => UNS
* DIS # H1: 4 # F2: 1,2 => CTR => F2: 4,9
* INC # H1: 4 + F2: 4,9 # D3: 1,2 => UNS
* DIS # H1: 4 + F2: 4,9 # E3: 1,2 => CTR => E3: 3,4,6,8,9
* DIS # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 # F3: 1,2 => CTR => F3: 4,8,9
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # I1: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # I1: 3,5 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # F4: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # F6: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # F7: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # E1: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # D2: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # D3: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # I1: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # I1: 3,5 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # F4: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # F6: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # F7: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # A3: 3,5 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # B3: 3,5 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # C3: 3,5 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # I1: 3,5 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # I1: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # C4: 3,5 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # C6: 3,5 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # C7: 3,5 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # E1: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # D2: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # D3: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # I1: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # I1: 3,5 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # F4: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # F6: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # F7: 1,2 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # E3: 4,9 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # F3: 4,9 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # F6: 4,9 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 # F6: 1,2,5,7 => UNS
* INC # H1: 4 + F2: 4,9 + E3: 3,4,6,8,9 + F3: 4,8,9 => UNS
* INC # H8: 4 => UNS
* CNT  49 HDP CHAINS /  49 HYP OPENED

Full list of HDP chains traversed for C2,D2: 6..:

* INC # D2: 6 # C1: 3,4 => UNS
* INC # D2: 6 # C3: 3,4 => UNS
* INC # D2: 6 # I2: 3,4 => UNS
* INC # D2: 6 # I2: 1,2,9 => UNS
* INC # D2: 6 => UNS
* INC # C2: 6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for E6,F6: 4..:

* INC # F6: 4 # E1: 1,2 => UNS
* INC # F6: 4 # D2: 1,2 => UNS
* INC # F6: 4 # F2: 1,2 => UNS
* INC # F6: 4 # D3: 1,2 => UNS
* INC # F6: 4 # E3: 1,2 => UNS
* INC # F6: 4 # F3: 1,2 => UNS
* INC # F6: 4 # H1: 1,2 => UNS
* INC # F6: 4 # I1: 1,2 => UNS
* INC # F6: 4 # F4: 1,2 => UNS
* INC # F6: 4 # F7: 1,2 => UNS
* INC # F6: 4 => UNS
* INC # E6: 4 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for I2,I3: 9..:

* INC # I2: 9 => UNS
* INC # I3: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E3,F3: 8..:

* INC # E3: 8 => UNS
* INC # F3: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C5,C6: 9..:

* INC # C6: 9 => UNS
* INC # C5: 9 # F4: 1,2 => UNS
* INC # C5: 9 # D5: 1,2 => UNS
* INC # C5: 9 # D6: 1,2 => UNS
* INC # C5: 9 # E6: 1,2 => UNS
* INC # C5: 9 # F6: 1,2 => UNS
* INC # C5: 9 # G4: 1,2 => UNS
* INC # C5: 9 # I4: 1,2 => UNS
* INC # C5: 9 # E1: 1,2 => UNS
* INC # C5: 9 # E3: 1,2 => UNS
* INC # C5: 9 # E7: 1,2 => UNS
* INC # C5: 9 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED