Analysis of xx-ph-00658339-12_12_19-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: ........1..2..3..4.3..5..6.....781...8.3...7.9...6......95....2.5...6.8.4.....5.. initial

Autosolve

position: ........1..2..3..4.3..5..6.....781...8.3...7.9...6......95....2.5...6.8.4.....5.. autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

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

Pair Reduction

Pair Reduction

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

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:13.772695

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

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 B6,C6: 7..:

* DIS # B6: 7 # A7: 1,6 => CTR => A7: 3,7,8
* CNT   1 HDP CHAINS /  22 HYP OPENED

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

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:46.882084

List of important HDP chains detected for A2,H2: 5..:

* DIS # A2: 5 # D2: 1,8 # C1: 4 => CTR => C1: 7,8
* DIS # A2: 5 # D2: 1,8 + C1: 7,8 # E7: 1,8 => CTR => E7: 3,4
* DIS # A2: 5 # D2: 1,8 + C1: 7,8 + E7: 3,4 # B6: 2,4 => CTR => B6: 1,7
* DIS # A2: 5 # D2: 1,8 + C1: 7,8 + E7: 3,4 + B6: 1,7 # I4: 3,5 => CTR => I4: 6,9
* DIS # A2: 5 # D2: 1,8 + C1: 7,8 + E7: 3,4 + B6: 1,7 + I4: 6,9 => CTR => D2: 6,7
* PRF # A2: 5 + D2: 6,7 # H7: 1,3 => SOL
* STA # A2: 5 + D2: 6,7 + H7: 1,3
* CNT   6 HDP CHAINS /  41 HYP OPENED

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

Details

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

Positions

........1..2..3..4.3..5..6.....781...8.3...7.9...6......95....2.5...6.8.4.....5.. initial
........1..2..3..4.3..5..6.....781...8.3...7.9...6......95....2.5...6.8.4.....5.. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
H2: 5,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H7,H9: 1.. / H7 = 1  =>  4 pairs (_) / H9 = 1  =>  2 pairs (_)
A8,B9: 2.. / A8 = 2  =>  1 pairs (_) / B9 = 2  =>  2 pairs (_)
G1,H1: 3.. / G1 = 3  =>  1 pairs (_) / H1 = 3  =>  3 pairs (_)
H1,H2: 5.. / H1 = 5  =>  5 pairs (_) / H2 = 5  =>  0 pairs (_)
F5,F6: 5.. / F5 = 5  =>  2 pairs (_) / F6 = 5  =>  2 pairs (_)
A2,H2: 5.. / A2 = 5  =>  5 pairs (_) / H2 = 5  =>  0 pairs (_)
D1,D2: 6.. / D1 = 6  =>  1 pairs (_) / D2 = 6  =>  1 pairs (_)
G7,I9: 6.. / G7 = 6  =>  2 pairs (_) / I9 = 6  =>  2 pairs (_)
G5,G7: 6.. / G5 = 6  =>  2 pairs (_) / G7 = 6  =>  2 pairs (_)
B6,C6: 7.. / B6 = 7  =>  2 pairs (_) / C6 = 7  =>  2 pairs (_)
G6,I6: 8.. / G6 = 8  =>  4 pairs (_) / I6 = 8  =>  2 pairs (_)
A7,C9: 8.. / A7 = 8  =>  2 pairs (_) / C9 = 8  =>  2 pairs (_)
A7,E7: 8.. / A7 = 8  =>  2 pairs (_) / E7 = 8  =>  2 pairs (_)
I3,I6: 8.. / I3 = 8  =>  4 pairs (_) / I6 = 8  =>  2 pairs (_)
B1,B2: 9.. / B1 = 9  =>  1 pairs (_) / B2 = 9  =>  2 pairs (_)
* DURATION: 0:00:11.923211  START: 16:12:48.068421  END: 16:12:59.991632 2020-12-28
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A2,H2: 5.. / A2 = 5 ==>  5 pairs (_) / H2 = 5 ==>  0 pairs (_)
H1,H2: 5.. / H1 = 5 ==>  5 pairs (_) / H2 = 5 ==>  0 pairs (_)
I3,I6: 8.. / I3 = 8 ==>  4 pairs (_) / I6 = 8 ==>  2 pairs (_)
G6,I6: 8.. / G6 = 8 ==>  4 pairs (_) / I6 = 8 ==>  2 pairs (_)
H7,H9: 1.. / H7 = 1 ==>  4 pairs (_) / H9 = 1 ==>  2 pairs (_)
G1,H1: 3.. / G1 = 3 ==>  1 pairs (_) / H1 = 3 ==>  3 pairs (_)
A7,E7: 8.. / A7 = 8 ==>  2 pairs (_) / E7 = 8 ==>  2 pairs (_)
A7,C9: 8.. / A7 = 8 ==>  2 pairs (_) / C9 = 8 ==>  2 pairs (_)
B6,C6: 7.. / B6 = 7 ==>  2 pairs (_) / C6 = 7 ==>  2 pairs (_)
G5,G7: 6.. / G5 = 6 ==>  2 pairs (_) / G7 = 6 ==>  2 pairs (_)
G7,I9: 6.. / G7 = 6 ==>  2 pairs (_) / I9 = 6 ==>  2 pairs (_)
F5,F6: 5.. / F5 = 5 ==>  2 pairs (_) / F6 = 5 ==>  2 pairs (_)
B1,B2: 9.. / B1 = 9 ==>  1 pairs (_) / B2 = 9 ==>  2 pairs (_)
A8,B9: 2.. / A8 = 2 ==>  1 pairs (_) / B9 = 2 ==>  2 pairs (_)
D1,D2: 6.. / D1 = 6 ==>  1 pairs (_) / D2 = 6 ==>  1 pairs (_)
* DURATION: 0:02:32.379854  START: 16:13:16.739872  END: 16:15:49.119726 2020-12-28
* REASONING B6,C6: 7..
* DIS # B6: 7 # A7: 1,6 => CTR => A7: 3,7,8
* CNT   1 HDP CHAINS /  22 HYP OPENED
* DCP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
A2,H2: 5.. / A2 = 5 ==>  0 pairs (*) / H2 = 5  =>  0 pairs (X)
* DURATION: 0:00:46.879972  START: 16:15:49.330765  END: 16:16:36.210737 2020-12-28
* REASONING A2,H2: 5..
* DIS # A2: 5 # D2: 1,8 # C1: 4 => CTR => C1: 7,8
* DIS # A2: 5 # D2: 1,8 + C1: 7,8 # E7: 1,8 => CTR => E7: 3,4
* DIS # A2: 5 # D2: 1,8 + C1: 7,8 + E7: 3,4 # B6: 2,4 => CTR => B6: 1,7
* DIS # A2: 5 # D2: 1,8 + C1: 7,8 + E7: 3,4 + B6: 1,7 # I4: 3,5 => CTR => I4: 6,9
* DIS # A2: 5 # D2: 1,8 + C1: 7,8 + E7: 3,4 + B6: 1,7 + I4: 6,9 => CTR => D2: 6,7
* PRF # A2: 5 + D2: 6,7 # H7: 1,3 => SOL
* STA # A2: 5 + D2: 6,7 + H7: 1,3
* CNT   6 HDP CHAINS /  41 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

658339;12_12_19;dob;23;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # H1: 5,9 => UNS
* INC # H1: 2,3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # H1: 5,9 => UNS
* INC # H1: 2,3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # H1: 5,9 => UNS
* INC # H1: 2,3 => UNS
* INC # H1: 5,9 # D2: 1,8 => UNS
* INC # H1: 5,9 # D3: 1,8 => UNS
* INC # H1: 5,9 # A2: 1,8 => UNS
* INC # H1: 5,9 # A2: 5,6,7 => UNS
* INC # H1: 5,9 # E7: 1,8 => UNS
* INC # H1: 5,9 # E9: 1,8 => UNS
* INC # H1: 5,9 # A2: 7,8 => UNS
* INC # H1: 5,9 # D2: 7,8 => UNS
* INC # H1: 5,9 # A3: 7,8 => UNS
* INC # H1: 5,9 # C3: 7,8 => UNS
* INC # H1: 5,9 # D3: 7,8 => UNS
* INC # H1: 5,9 # H7: 1,3 => UNS
* INC # H1: 5,9 # H7: 4 => UNS
* INC # H1: 5,9 # C9: 1,3 => UNS
* INC # H1: 5,9 # E9: 1,3 => UNS
* INC # H1: 5,9 => UNS
* INC # H1: 2,3 # G1: 2,3 => UNS
* INC # H1: 2,3 # G1: 7,8,9 => UNS
* INC # H1: 2,3 # H4: 2,3 => UNS
* INC # H1: 2,3 # H6: 2,3 => UNS
* INC # H1: 2,3 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A2,H2: 5..:

* INC # A2: 5 # D2: 1,8 => UNS
* INC # A2: 5 # D3: 1,8 => UNS
* INC # A2: 5 # E7: 1,8 => UNS
* INC # A2: 5 # E9: 1,8 => UNS
* INC # A2: 5 # D2: 7,8 => UNS
* INC # A2: 5 # D2: 1,6 => UNS
* INC # A2: 5 # A3: 7,8 => UNS
* INC # A2: 5 # C3: 7,8 => UNS
* INC # A2: 5 # D3: 7,8 => UNS
* INC # A2: 5 # H7: 1,3 => UNS
* INC # A2: 5 # H7: 4 => UNS
* INC # A2: 5 # C9: 1,3 => UNS
* INC # A2: 5 # E9: 1,3 => UNS
* INC # A2: 5 => UNS
* INC # H2: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for H1,H2: 5..:

* INC # H1: 5 # D2: 1,8 => UNS
* INC # H1: 5 # D3: 1,8 => UNS
* INC # H1: 5 # E7: 1,8 => UNS
* INC # H1: 5 # E9: 1,8 => UNS
* INC # H1: 5 # D2: 7,8 => UNS
* INC # H1: 5 # D2: 1,6 => UNS
* INC # H1: 5 # A3: 7,8 => UNS
* INC # H1: 5 # C3: 7,8 => UNS
* INC # H1: 5 # D3: 7,8 => UNS
* INC # H1: 5 # H7: 1,3 => UNS
* INC # H1: 5 # H7: 4 => UNS
* INC # H1: 5 # C9: 1,3 => UNS
* INC # H1: 5 # E9: 1,3 => UNS
* INC # H1: 5 => UNS
* INC # H2: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for I3,I6: 8..:

* INC # I3: 8 # A2: 1,7 => UNS
* INC # I3: 8 # B2: 1,7 => UNS
* INC # I3: 8 # C3: 1,7 => UNS
* INC # I3: 8 # D3: 1,7 => UNS
* INC # I3: 8 # F3: 1,7 => UNS
* INC # I3: 8 # A7: 1,7 => UNS
* INC # I3: 8 # A8: 1,7 => UNS
* INC # I3: 8 # G1: 7,9 => UNS
* INC # I3: 8 # G3: 7,9 => UNS
* INC # I3: 8 # B2: 7,9 => UNS
* INC # I3: 8 # D2: 7,9 => UNS
* INC # I3: 8 # H1: 5,9 => UNS
* INC # I3: 8 # H1: 2,3 => UNS
* INC # I3: 8 # I4: 3,5 => UNS
* INC # I3: 8 # I4: 6,9 => UNS
* INC # I3: 8 # C6: 3,5 => UNS
* INC # I3: 8 # C6: 1,4,7 => UNS
* INC # I3: 8 => UNS
* INC # I6: 8 # H1: 5,9 => UNS
* INC # I6: 8 # H1: 2,3 => UNS
* INC # I6: 8 # G1: 7,9 => UNS
* INC # I6: 8 # G2: 7,9 => UNS
* INC # I6: 8 # G3: 7,9 => UNS
* INC # I6: 8 # D3: 7,9 => UNS
* INC # I6: 8 # F3: 7,9 => UNS
* INC # I6: 8 # I8: 7,9 => UNS
* INC # I6: 8 # I9: 7,9 => UNS
* INC # I6: 8 => UNS
* CNT  28 HDP CHAINS /  28 HYP OPENED

Full list of HDP chains traversed for G6,I6: 8..:

* INC # G6: 8 # A2: 1,7 => UNS
* INC # G6: 8 # B2: 1,7 => UNS
* INC # G6: 8 # C3: 1,7 => UNS
* INC # G6: 8 # D3: 1,7 => UNS
* INC # G6: 8 # F3: 1,7 => UNS
* INC # G6: 8 # A7: 1,7 => UNS
* INC # G6: 8 # A8: 1,7 => UNS
* INC # G6: 8 # G1: 7,9 => UNS
* INC # G6: 8 # G3: 7,9 => UNS
* INC # G6: 8 # B2: 7,9 => UNS
* INC # G6: 8 # D2: 7,9 => UNS
* INC # G6: 8 # H1: 5,9 => UNS
* INC # G6: 8 # H1: 2,3 => UNS
* INC # G6: 8 # I4: 3,5 => UNS
* INC # G6: 8 # I4: 6,9 => UNS
* INC # G6: 8 # C6: 3,5 => UNS
* INC # G6: 8 # C6: 1,4,7 => UNS
* INC # G6: 8 => UNS
* INC # I6: 8 # H1: 5,9 => UNS
* INC # I6: 8 # H1: 2,3 => UNS
* INC # I6: 8 # G1: 7,9 => UNS
* INC # I6: 8 # G2: 7,9 => UNS
* INC # I6: 8 # G3: 7,9 => UNS
* INC # I6: 8 # D3: 7,9 => UNS
* INC # I6: 8 # F3: 7,9 => UNS
* INC # I6: 8 # I8: 7,9 => UNS
* INC # I6: 8 # I9: 7,9 => UNS
* INC # I6: 8 => UNS
* CNT  28 HDP CHAINS /  28 HYP OPENED

Full list of HDP chains traversed for H7,H9: 1..:

* INC # H7: 1 # H1: 5,9 => UNS
* INC # H7: 1 # H1: 2,3 => UNS
* INC # H7: 1 # A7: 6,7 => UNS
* INC # H7: 1 # B9: 6,7 => UNS
* INC # H7: 1 # C9: 6,7 => UNS
* INC # H7: 1 # G7: 6,7 => UNS
* INC # H7: 1 # G7: 3,4 => UNS
* INC # H7: 1 # B1: 6,7 => UNS
* INC # H7: 1 # B2: 6,7 => UNS
* INC # H7: 1 # D8: 4,7 => UNS
* INC # H7: 1 # D8: 1,2,9 => UNS
* INC # H7: 1 # G7: 4,7 => UNS
* INC # H7: 1 # G7: 3,6 => UNS
* INC # H7: 1 # F1: 4,7 => UNS
* INC # H7: 1 # F3: 4,7 => UNS
* INC # H7: 1 # G8: 3,9 => UNS
* INC # H7: 1 # I8: 3,9 => UNS
* INC # H7: 1 # I9: 3,9 => UNS
* INC # H7: 1 # E9: 3,9 => UNS
* INC # H7: 1 # E9: 1,2,8 => UNS
* INC # H7: 1 # H1: 3,9 => UNS
* INC # H7: 1 # H4: 3,9 => UNS
* INC # H7: 1 => UNS
* INC # H9: 1 # H1: 5,9 => UNS
* INC # H9: 1 # H1: 2,3 => UNS
* INC # H9: 1 # G7: 3,4 => UNS
* INC # H9: 1 # G8: 3,4 => UNS
* INC # H9: 1 # E7: 3,4 => UNS
* INC # H9: 1 # E7: 1,8 => UNS
* INC # H9: 1 # H4: 3,4 => UNS
* INC # H9: 1 # H6: 3,4 => UNS
* INC # H9: 1 => UNS
* CNT  32 HDP CHAINS /  32 HYP OPENED

Full list of HDP chains traversed for G1,H1: 3..:

* INC # H1: 3 # H4: 2,4 => UNS
* INC # H1: 3 # H4: 9 => UNS
* INC # H1: 3 # B6: 2,4 => UNS
* INC # H1: 3 # D6: 2,4 => UNS
* INC # H1: 3 # F6: 2,4 => UNS
* INC # H1: 3 # E7: 1,4 => UNS
* INC # H1: 3 # F7: 1,4 => UNS
* INC # H1: 3 # D9: 1,9 => UNS
* INC # H1: 3 # E9: 1,9 => UNS
* INC # H1: 3 # F9: 1,9 => UNS
* INC # H1: 3 => UNS
* INC # G1: 3 # H1: 5,9 => UNS
* INC # G1: 3 # H1: 2 => UNS
* INC # G1: 3 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for A7,E7: 8..:

* INC # A7: 8 # A2: 1,7 => UNS
* INC # A7: 8 # B2: 1,7 => UNS
* INC # A7: 8 # C3: 1,7 => UNS
* INC # A7: 8 # D3: 1,7 => UNS
* INC # A7: 8 # F3: 1,7 => UNS
* INC # A7: 8 # A8: 1,7 => UNS
* INC # A7: 8 # A8: 2,3 => UNS
* INC # A7: 8 # H1: 5,9 => UNS
* INC # A7: 8 # H1: 2,3 => UNS
* INC # A7: 8 => UNS
* INC # E7: 8 # D2: 1,9 => UNS
* INC # E7: 8 # D3: 1,9 => UNS
* INC # E7: 8 # F3: 1,9 => UNS
* INC # E7: 8 # B2: 1,9 => UNS
* INC # E7: 8 # B2: 6,7 => UNS
* INC # E7: 8 # E5: 1,9 => UNS
* INC # E7: 8 # E8: 1,9 => UNS
* INC # E7: 8 # E9: 1,9 => UNS
* INC # E7: 8 # H1: 5,9 => UNS
* INC # E7: 8 # H1: 2,3 => UNS
* INC # E7: 8 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for A7,C9: 8..:

* INC # A7: 8 # A2: 1,7 => UNS
* INC # A7: 8 # B2: 1,7 => UNS
* INC # A7: 8 # C3: 1,7 => UNS
* INC # A7: 8 # D3: 1,7 => UNS
* INC # A7: 8 # F3: 1,7 => UNS
* INC # A7: 8 # A8: 1,7 => UNS
* INC # A7: 8 # A8: 2,3 => UNS
* INC # A7: 8 # H1: 5,9 => UNS
* INC # A7: 8 # H1: 2,3 => UNS
* INC # A7: 8 => UNS
* INC # C9: 8 # D2: 1,9 => UNS
* INC # C9: 8 # D3: 1,9 => UNS
* INC # C9: 8 # F3: 1,9 => UNS
* INC # C9: 8 # B2: 1,9 => UNS
* INC # C9: 8 # B2: 6,7 => UNS
* INC # C9: 8 # E5: 1,9 => UNS
* INC # C9: 8 # E8: 1,9 => UNS
* INC # C9: 8 # E9: 1,9 => UNS
* INC # C9: 8 # H1: 5,9 => UNS
* INC # C9: 8 # H1: 2,3 => UNS
* INC # C9: 8 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for B6,C6: 7..:

* INC # B6: 7 # H1: 5,9 => UNS
* INC # B6: 7 # H1: 2,3 => UNS
* DIS # B6: 7 # A7: 1,6 => CTR => A7: 3,7,8
* INC # B6: 7 + A7: 3,7,8 # B9: 1,6 => UNS
* INC # B6: 7 + A7: 3,7,8 # C9: 1,6 => UNS
* INC # B6: 7 + A7: 3,7,8 # B2: 1,6 => UNS
* INC # B6: 7 + A7: 3,7,8 # B2: 9 => UNS
* INC # B6: 7 + A7: 3,7,8 # H1: 5,9 => UNS
* INC # B6: 7 + A7: 3,7,8 # H1: 2,3 => UNS
* INC # B6: 7 + A7: 3,7,8 # B9: 1,6 => UNS
* INC # B6: 7 + A7: 3,7,8 # C9: 1,6 => UNS
* INC # B6: 7 + A7: 3,7,8 # B2: 1,6 => UNS
* INC # B6: 7 + A7: 3,7,8 # B2: 9 => UNS
* INC # B6: 7 + A7: 3,7,8 => UNS
* INC # C6: 7 # H1: 5,9 => UNS
* INC # C6: 7 # H1: 2,3 => UNS
* INC # C6: 7 # A7: 1,3 => UNS
* INC # C6: 7 # A8: 1,3 => UNS
* INC # C6: 7 # C9: 1,3 => UNS
* INC # C6: 7 # E8: 1,3 => UNS
* INC # C6: 7 # E8: 2,4,9 => UNS
* INC # C6: 7 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for G5,G7: 6..:

* INC # G5: 6 # H1: 5,9 => UNS
* INC # G5: 6 # H1: 2,3 => UNS
* INC # G5: 6 # I4: 5,9 => UNS
* INC # G5: 6 # I4: 3 => UNS
* INC # G5: 6 # F5: 5,9 => UNS
* INC # G5: 6 # F5: 1,2,4 => UNS
* INC # G5: 6 => UNS
* INC # G7: 6 # H1: 5,9 => UNS
* INC # G7: 6 # H1: 2,3 => UNS
* INC # G7: 6 # A7: 1,7 => UNS
* INC # G7: 6 # A8: 1,7 => UNS
* INC # G7: 6 # C8: 1,7 => UNS
* INC # G7: 6 # B9: 1,7 => UNS
* INC # G7: 6 # C9: 1,7 => UNS
* INC # G7: 6 # F7: 1,7 => UNS
* INC # G7: 6 # F7: 4 => UNS
* INC # G7: 6 # B2: 1,7 => UNS
* INC # G7: 6 # B6: 1,7 => UNS
* INC # G7: 6 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for G7,I9: 6..:

* INC # G7: 6 # H1: 5,9 => UNS
* INC # G7: 6 # H1: 2,3 => UNS
* INC # G7: 6 # A7: 1,7 => UNS
* INC # G7: 6 # A8: 1,7 => UNS
* INC # G7: 6 # C8: 1,7 => UNS
* INC # G7: 6 # B9: 1,7 => UNS
* INC # G7: 6 # C9: 1,7 => UNS
* INC # G7: 6 # F7: 1,7 => UNS
* INC # G7: 6 # F7: 4 => UNS
* INC # G7: 6 # B2: 1,7 => UNS
* INC # G7: 6 # B6: 1,7 => UNS
* INC # G7: 6 => UNS
* INC # I9: 6 # H1: 5,9 => UNS
* INC # I9: 6 # H1: 2,3 => UNS
* INC # I9: 6 # I4: 5,9 => UNS
* INC # I9: 6 # I4: 3 => UNS
* INC # I9: 6 # F5: 5,9 => UNS
* INC # I9: 6 # F5: 1,2,4 => UNS
* INC # I9: 6 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for F5,F6: 5..:

* INC # F5: 5 # H1: 5,9 => UNS
* INC # F5: 5 # H1: 2,3 => UNS
* INC # F5: 5 # I4: 6,9 => UNS
* INC # F5: 5 # G5: 6,9 => UNS
* INC # F5: 5 # I9: 6,9 => UNS
* INC # F5: 5 # I9: 3,7 => UNS
* INC # F5: 5 => UNS
* INC # F6: 5 # H1: 5,9 => UNS
* INC # F6: 5 # H1: 2,3 => UNS
* INC # F6: 5 # G6: 3,8 => UNS
* INC # F6: 5 # G6: 2,4 => UNS
* INC # F6: 5 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for B1,B2: 9..:

* INC # B2: 9 # D2: 1,8 => UNS
* INC # B2: 9 # D3: 1,8 => UNS
* INC # B2: 9 # A2: 1,8 => UNS
* INC # B2: 9 # A2: 6,7 => UNS
* INC # B2: 9 # E7: 1,8 => UNS
* INC # B2: 9 # E9: 1,8 => UNS
* INC # B2: 9 # G1: 7,8 => UNS
* INC # B2: 9 # G3: 7,8 => UNS
* INC # B2: 9 # I3: 7,8 => UNS
* INC # B2: 9 # A2: 7,8 => UNS
* INC # B2: 9 # D2: 7,8 => UNS
* INC # B2: 9 => UNS
* INC # B1: 9 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for A8,B9: 2..:

* INC # B9: 2 # H1: 5,9 => UNS
* INC # B9: 2 # H1: 2,3 => UNS
* INC # B9: 2 # C4: 4,6 => UNS
* INC # B9: 2 # C5: 4,6 => UNS
* INC # B9: 2 # B1: 4,6 => UNS
* INC # B9: 2 # B1: 7,9 => UNS
* INC # B9: 2 => UNS
* INC # A8: 2 # H1: 5,9 => UNS
* INC # A8: 2 # H1: 2,3 => UNS
* INC # A8: 2 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for D1,D2: 6..:

* INC # D1: 6 # H1: 5,9 => UNS
* INC # D1: 6 # H1: 2,3 => UNS
* INC # D1: 6 => UNS
* INC # D2: 6 # H1: 5,9 => UNS
* INC # D2: 6 # H1: 2,3 => UNS
* INC # D2: 6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A5. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for A2,H2: 5..:

* INC # A2: 5 # D2: 1,8 => UNS
* INC # A2: 5 # D3: 1,8 => UNS
* INC # A2: 5 # E7: 1,8 => UNS
* INC # A2: 5 # E9: 1,8 => UNS
* INC # A2: 5 # D2: 7,8 => UNS
* INC # A2: 5 # D2: 1,6 => UNS
* INC # A2: 5 # A3: 7,8 => UNS
* INC # A2: 5 # C3: 7,8 => UNS
* INC # A2: 5 # D3: 7,8 => UNS
* INC # A2: 5 # H7: 1,3 => UNS
* INC # A2: 5 # H7: 4 => UNS
* INC # A2: 5 # C9: 1,3 => UNS
* INC # A2: 5 # E9: 1,3 => UNS
* INC # A2: 5 # D2: 1,8 # C1: 7,8 => UNS
* DIS # A2: 5 # D2: 1,8 # C1: 4 => CTR => C1: 7,8
* INC # A2: 5 # D2: 1,8 + C1: 7,8 # E5: 2,4 => UNS
* INC # A2: 5 # D2: 1,8 + C1: 7,8 # E8: 2,4 => UNS
* INC # A2: 5 # D2: 1,8 + C1: 7,8 # D9: 1,8 => UNS
* INC # A2: 5 # D2: 1,8 + C1: 7,8 # D9: 2,7,9 => UNS
* DIS # A2: 5 # D2: 1,8 + C1: 7,8 # E7: 1,8 => CTR => E7: 3,4
* INC # A2: 5 # D2: 1,8 + C1: 7,8 + E7: 3,4 # E9: 1,8 => UNS
* INC # A2: 5 # D2: 1,8 + C1: 7,8 + E7: 3,4 # E9: 1,8 => UNS
* INC # A2: 5 # D2: 1,8 + C1: 7,8 + E7: 3,4 # E9: 2,3,9 => UNS
* INC # A2: 5 # D2: 1,8 + C1: 7,8 + E7: 3,4 # E9: 1,8 => UNS
* INC # A2: 5 # D2: 1,8 + C1: 7,8 + E7: 3,4 # E9: 2,3,9 => UNS
* DIS # A2: 5 # D2: 1,8 + C1: 7,8 + E7: 3,4 # B6: 2,4 => CTR => B6: 1,7
* DIS # A2: 5 # D2: 1,8 + C1: 7,8 + E7: 3,4 + B6: 1,7 # I4: 3,5 => CTR => I4: 6,9
* DIS # A2: 5 # D2: 1,8 + C1: 7,8 + E7: 3,4 + B6: 1,7 + I4: 6,9 => CTR => D2: 6,7
* INC # A2: 5 + D2: 6,7 # D1: 6,7 => UNS
* INC # A2: 5 + D2: 6,7 # D1: 2,4,8 => UNS
* INC # A2: 5 + D2: 6,7 # B2: 6,7 => UNS
* INC # A2: 5 + D2: 6,7 # B2: 1 => UNS
* INC # A2: 5 + D2: 6,7 # D3: 1,8 => UNS
* INC # A2: 5 + D2: 6,7 # D3: 4,7,9 => UNS
* INC # A2: 5 + D2: 6,7 # E7: 1,8 => UNS
* INC # A2: 5 + D2: 6,7 # E9: 1,8 => UNS
* INC # A2: 5 + D2: 6,7 # A3: 7,8 => UNS
* INC # A2: 5 + D2: 6,7 # C3: 7,8 => UNS
* INC # A2: 5 + D2: 6,7 # D3: 7,8 => UNS
* PRF # A2: 5 + D2: 6,7 # H7: 1,3 => SOL
* STA # A2: 5 + D2: 6,7 + H7: 1,3
* CNT  40 HDP CHAINS /  41 HYP OPENED