Analysis of xx-ph-00035178-12_05-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..7...5..9...4......3..5...7..7..32..1..8.9....2....5.3..6....1....3.....4 initial

Autosolve

position: 98.7..6..7...5..9...4......3..5...7..7..32..1..8.97...2....5.3..6....1....3.....4 autosolve
Autosolve

Pair Reduction Variants

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: 0:00:00.000006

List of important HDP chains detected for A8,A9: 8..:

* DIS # A8: 8 # H3: 2,5 => CTR => H3: 1,8
* CNT   1 HDP CHAINS /  31 HYP OPENED

List of important HDP chains detected for C7,C8: 7..:

* DIS # C7: 7 # G9: 8,9 => CTR => G9: 2,5,7
* CNT   1 HDP CHAINS /  39 HYP OPENED

List of important HDP chains detected for F1,I1: 3..:

* DIS # I1: 3 # G2: 2,8 => CTR => G2: 4
* CNT   1 HDP CHAINS /  36 HYP OPENED

List of important HDP chains detected for D8,F8: 3..:

* DIS # F8: 3 # G2: 2,8 => CTR => G2: 4
* CNT   1 HDP CHAINS /  28 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: 0:00:27.099246

List of important HDP chains detected for H1,H3: 1..:

* DIS # H1: 1 # B3: 2,5 # G3: 2,5 => CTR => G3: 3,7,8
* PRF # H1: 1 # B3: 2,5 + G3: 3,7,8 # I3: 2,5 => SOL
* STA # H1: 1 # B3: 2,5 + G3: 3,7,8 + I3: 2,5
* CNT   2 HDP CHAINS /  24 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

98.7..6..7...5..9...4......3..5...7..7..32..1..8.9....2....5.3..6....1....3.....4 initial
98.7..6..7...5..9...4......3..5...7..7..32..1..8.97...2....5.3..6....1....3.....4 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H1,H3: 1.. / H1 = 1  =>  3 pairs (_) / H3 = 1  =>  1 pairs (_)
B2,B3: 3.. / B2 = 3  =>  1 pairs (_) / B3 = 3  =>  1 pairs (_)
G6,I6: 3.. / G6 = 3  =>  0 pairs (_) / I6 = 3  =>  2 pairs (_)
D8,F8: 3.. / D8 = 3  =>  0 pairs (_) / F8 = 3  =>  2 pairs (_)
F1,I1: 3.. / F1 = 3  =>  1 pairs (_) / I1 = 3  =>  2 pairs (_)
H1,G2: 4.. / H1 = 4  =>  3 pairs (_) / G2 = 4  =>  0 pairs (_)
B7,A8: 4.. / B7 = 4  =>  1 pairs (_) / A8 = 4  =>  2 pairs (_)
C2,A3: 6.. / C2 = 6  =>  2 pairs (_) / A3 = 6  =>  2 pairs (_)
I7,H9: 6.. / I7 = 6  =>  0 pairs (_) / H9 = 6  =>  0 pairs (_)
G3,I3: 7.. / G3 = 7  =>  1 pairs (_) / I3 = 7  =>  0 pairs (_)
C7,C8: 7.. / C7 = 7  =>  2 pairs (_) / C8 = 7  =>  1 pairs (_)
E9,G9: 7.. / E9 = 7  =>  0 pairs (_) / G9 = 7  =>  1 pairs (_)
A8,A9: 8.. / A8 = 8  =>  2 pairs (_) / A9 = 8  =>  1 pairs (_)
D3,F3: 9.. / D3 = 9  =>  0 pairs (_) / F3 = 9  =>  0 pairs (_)
C5,G5: 9.. / C5 = 9  =>  2 pairs (_) / G5 = 9  =>  2 pairs (_)
* DURATION: 0:00:08.762990  START: 18:07:56.147728  END: 18:08:04.910718 2020-12-15
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H1,H3: 1.. / H1 = 1 ==>  3 pairs (_) / H3 = 1 ==>  1 pairs (_)
H1,G2: 4.. / H1 = 4 ==>  3 pairs (_) / G2 = 4 ==>  0 pairs (_)
C5,G5: 9.. / C5 = 9 ==>  2 pairs (_) / G5 = 9 ==>  2 pairs (_)
C2,A3: 6.. / C2 = 6 ==>  2 pairs (_) / A3 = 6 ==>  2 pairs (_)
A8,A9: 8.. / A8 = 8 ==>  3 pairs (_) / A9 = 8 ==>  1 pairs (_)
C7,C8: 7.. / C7 = 7 ==>  2 pairs (_) / C8 = 7 ==>  1 pairs (_)
B7,A8: 4.. / B7 = 4 ==>  1 pairs (_) / A8 = 4 ==>  2 pairs (_)
F1,I1: 3.. / F1 = 3 ==>  1 pairs (_) / I1 = 3 ==>  2 pairs (_)
D8,F8: 3.. / D8 = 3 ==>  0 pairs (_) / F8 = 3 ==>  2 pairs (_)
G6,I6: 3.. / G6 = 3 ==>  0 pairs (_) / I6 = 3 ==>  2 pairs (_)
B2,B3: 3.. / B2 = 3 ==>  1 pairs (_) / B3 = 3 ==>  1 pairs (_)
E9,G9: 7.. / E9 = 7 ==>  0 pairs (_) / G9 = 7 ==>  1 pairs (_)
G3,I3: 7.. / G3 = 7 ==>  1 pairs (_) / I3 = 7 ==>  0 pairs (_)
D3,F3: 9.. / D3 = 9 ==>  0 pairs (_) / F3 = 9 ==>  0 pairs (_)
I7,H9: 6.. / I7 = 6 ==>  0 pairs (_) / H9 = 6 ==>  0 pairs (_)
* DURATION: 0:01:53.115700  START: 18:08:04.911321  END: 18:09:58.027021 2020-12-15
* REASONING A8,A9: 8..
* DIS # A8: 8 # H3: 2,5 => CTR => H3: 1,8
* CNT   1 HDP CHAINS /  31 HYP OPENED
* REASONING C7,C8: 7..
* DIS # C7: 7 # G9: 8,9 => CTR => G9: 2,5,7
* CNT   1 HDP CHAINS /  39 HYP OPENED
* REASONING F1,I1: 3..
* DIS # I1: 3 # G2: 2,8 => CTR => G2: 4
* CNT   1 HDP CHAINS /  36 HYP OPENED
* REASONING D8,F8: 3..
* DIS # F8: 3 # G2: 2,8 => CTR => G2: 4
* CNT   1 HDP CHAINS /  28 HYP OPENED
* DCP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
H1,H3: 1.. / H1 = 1 ==>  0 pairs (*) / H3 = 1  =>  0 pairs (X)
* DURATION: 0:00:27.097831  START: 18:09:58.213270  END: 18:10:25.311101 2020-12-15
* REASONING H1,H3: 1..
* DIS # H1: 1 # B3: 2,5 # G3: 2,5 => CTR => G3: 3,7,8
* PRF # H1: 1 # B3: 2,5 + G3: 3,7,8 # I3: 2,5 => SOL
* STA # H1: 1 # B3: 2,5 + G3: 3,7,8 + I3: 2,5
* CNT   2 HDP CHAINS /  24 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

35178;12_05;GP;24;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H1,H3: 1..:

* INC # H1: 1 # B3: 2,5 => UNS
* INC # H1: 1 # B3: 1,3 => UNS
* INC # H1: 1 # I1: 2,5 => UNS
* INC # H1: 1 # I1: 3 => UNS
* INC # H1: 1 # E8: 2,4 => UNS
* INC # H1: 1 # E8: 7,8 => UNS
* INC # H1: 1 # F8: 3,4 => UNS
* INC # H1: 1 # F8: 8,9 => UNS
* INC # H1: 1 => UNS
* INC # H3: 1 # A5: 5,6 => UNS
* INC # H3: 1 # A6: 5,6 => UNS
* INC # H3: 1 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for H1,G2: 4..:

* INC # H1: 4 # A5: 5,6 => UNS
* INC # H1: 4 # A6: 5,6 => UNS
* INC # H1: 4 # D2: 1,2 => UNS
* INC # H1: 4 # D2: 3,4,6,8 => UNS
* INC # H1: 4 # C1: 1,2 => UNS
* INC # H1: 4 # C1: 5 => UNS
* INC # H1: 4 # E9: 1,2 => UNS
* INC # H1: 4 # E9: 6,7,8 => UNS
* INC # H1: 4 # D2: 1,3 => UNS
* INC # H1: 4 # F2: 1,3 => UNS
* INC # H1: 4 => UNS
* INC # G2: 4 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for C5,G5: 9..:

* INC # C5: 9 # E7: 1,7 => UNS
* INC # C5: 9 # E7: 4,6,8 => UNS
* INC # C5: 9 # I8: 5,7 => UNS
* INC # C5: 9 # I8: 2,8,9 => UNS
* INC # C5: 9 => UNS
* INC # G5: 9 # A5: 5,6 => UNS
* INC # G5: 9 # A6: 5,6 => UNS
* INC # G5: 9 # H5: 5,6 => UNS
* INC # G5: 9 # H5: 4,8 => UNS
* INC # G5: 9 # I7: 7,8 => UNS
* INC # G5: 9 # I8: 7,8 => UNS
* INC # G5: 9 # G9: 7,8 => UNS
* INC # G5: 9 # E7: 7,8 => UNS
* INC # G5: 9 # E7: 1,4,6 => UNS
* INC # G5: 9 # G3: 7,8 => UNS
* INC # G5: 9 # G3: 2,3,5 => UNS
* INC # G5: 9 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for C2,A3: 6..:

* INC # C2: 6 # C1: 1,5 => UNS
* INC # C2: 6 # B3: 1,5 => UNS
* INC # C2: 6 # H3: 1,5 => UNS
* INC # C2: 6 # H3: 2,8 => UNS
* INC # C2: 6 # A6: 1,5 => UNS
* INC # C2: 6 # A9: 1,5 => UNS
* INC # C2: 6 # G5: 5,9 => UNS
* INC # C2: 6 # G5: 4,8 => UNS
* INC # C2: 6 # C8: 5,9 => UNS
* INC # C2: 6 # C8: 7 => UNS
* INC # C2: 6 => UNS
* INC # A3: 6 # C1: 1,2 => UNS
* INC # A3: 6 # B2: 1,2 => UNS
* INC # A3: 6 # B3: 1,2 => UNS
* INC # A3: 6 # D2: 1,2 => UNS
* INC # A3: 6 # D2: 3,4,6,8 => UNS
* INC # A3: 6 # C4: 1,2 => UNS
* INC # A3: 6 # C4: 6,9 => UNS
* INC # A3: 6 # A6: 4,5 => UNS
* INC # A3: 6 # B6: 4,5 => UNS
* INC # A3: 6 # G5: 4,5 => UNS
* INC # A3: 6 # H5: 4,5 => UNS
* INC # A3: 6 # A8: 4,5 => UNS
* INC # A3: 6 # A8: 8 => UNS
* INC # A3: 6 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for A8,A9: 8..:

* INC # A8: 8 # B9: 1,5 => UNS
* INC # A8: 8 # B9: 9 => UNS
* INC # A8: 8 # A3: 1,5 => UNS
* INC # A8: 8 # A6: 1,5 => UNS
* INC # A8: 8 # I8: 2,5 => UNS
* INC # A8: 8 # G9: 2,5 => UNS
* INC # A8: 8 # H9: 2,5 => UNS
* INC # A8: 8 # H1: 2,5 => UNS
* DIS # A8: 8 # H3: 2,5 => CTR => H3: 1,8
* INC # A8: 8 + H3: 1,8 # H6: 2,5 => UNS
* INC # A8: 8 + H3: 1,8 # I8: 2,5 => UNS
* INC # A8: 8 + H3: 1,8 # G9: 2,5 => UNS
* INC # A8: 8 + H3: 1,8 # H9: 2,5 => UNS
* INC # A8: 8 + H3: 1,8 # H1: 2,5 => UNS
* INC # A8: 8 + H3: 1,8 # H6: 2,5 => UNS
* INC # A8: 8 + H3: 1,8 # D3: 1,8 => UNS
* INC # A8: 8 + H3: 1,8 # E3: 1,8 => UNS
* INC # A8: 8 + H3: 1,8 # F3: 1,8 => UNS
* INC # A8: 8 + H3: 1,8 # B9: 1,5 => UNS
* INC # A8: 8 + H3: 1,8 # B9: 9 => UNS
* INC # A8: 8 + H3: 1,8 # A3: 1,5 => UNS
* INC # A8: 8 + H3: 1,8 # A6: 1,5 => UNS
* INC # A8: 8 + H3: 1,8 # I8: 2,5 => UNS
* INC # A8: 8 + H3: 1,8 # G9: 2,5 => UNS
* INC # A8: 8 + H3: 1,8 # H9: 2,5 => UNS
* INC # A8: 8 + H3: 1,8 # H1: 2,5 => UNS
* INC # A8: 8 + H3: 1,8 # H6: 2,5 => UNS
* INC # A8: 8 + H3: 1,8 => UNS
* INC # A9: 8 # A5: 4,5 => UNS
* INC # A9: 8 # A6: 4,5 => UNS
* INC # A9: 8 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for C7,C8: 7..:

* INC # C7: 7 # B9: 5,9 => UNS
* INC # C7: 7 # B9: 1 => UNS
* INC # C7: 7 # I8: 5,9 => UNS
* INC # C7: 7 # I8: 2,7,8 => UNS
* INC # C7: 7 # C5: 5,9 => UNS
* INC # C7: 7 # C5: 6 => UNS
* INC # C7: 7 # I7: 8,9 => UNS
* INC # C7: 7 # I8: 8,9 => UNS
* DIS # C7: 7 # G9: 8,9 => CTR => G9: 2,5,7
* INC # C7: 7 + G9: 2,5,7 # D7: 8,9 => UNS
* INC # C7: 7 + G9: 2,5,7 # D7: 1,4,6 => UNS
* INC # C7: 7 + G9: 2,5,7 # G4: 8,9 => UNS
* INC # C7: 7 + G9: 2,5,7 # G5: 8,9 => UNS
* INC # C7: 7 + G9: 2,5,7 # I7: 8,9 => UNS
* INC # C7: 7 + G9: 2,5,7 # I8: 8,9 => UNS
* INC # C7: 7 + G9: 2,5,7 # D7: 8,9 => UNS
* INC # C7: 7 + G9: 2,5,7 # D7: 1,4,6 => UNS
* INC # C7: 7 + G9: 2,5,7 # G4: 8,9 => UNS
* INC # C7: 7 + G9: 2,5,7 # G5: 8,9 => UNS
* INC # C7: 7 + G9: 2,5,7 # B9: 5,9 => UNS
* INC # C7: 7 + G9: 2,5,7 # B9: 1 => UNS
* INC # C7: 7 + G9: 2,5,7 # I8: 5,9 => UNS
* INC # C7: 7 + G9: 2,5,7 # I8: 2,7,8 => UNS
* INC # C7: 7 + G9: 2,5,7 # C5: 5,9 => UNS
* INC # C7: 7 + G9: 2,5,7 # C5: 6 => UNS
* INC # C7: 7 + G9: 2,5,7 # I7: 8,9 => UNS
* INC # C7: 7 + G9: 2,5,7 # I8: 8,9 => UNS
* INC # C7: 7 + G9: 2,5,7 # D7: 8,9 => UNS
* INC # C7: 7 + G9: 2,5,7 # D7: 1,4,6 => UNS
* INC # C7: 7 + G9: 2,5,7 # G4: 8,9 => UNS
* INC # C7: 7 + G9: 2,5,7 # G5: 8,9 => UNS
* INC # C7: 7 + G9: 2,5,7 => UNS
* INC # C8: 7 # B7: 1,9 => UNS
* INC # C8: 7 # B9: 1,9 => UNS
* INC # C8: 7 # D7: 1,9 => UNS
* INC # C8: 7 # D7: 4,6,8 => UNS
* INC # C8: 7 # C4: 1,9 => UNS
* INC # C8: 7 # C4: 2,6 => UNS
* INC # C8: 7 => UNS
* CNT  39 HDP CHAINS /  39 HYP OPENED

Full list of HDP chains traversed for B7,A8: 4..:

* INC # A8: 4 # C5: 5,6 => UNS
* INC # A8: 4 # A6: 5,6 => UNS
* INC # A8: 4 # H5: 5,6 => UNS
* INC # A8: 4 # H5: 4,8 => UNS
* INC # A8: 4 # A3: 5,6 => UNS
* INC # A8: 4 # A3: 1 => UNS
* INC # A8: 4 # C7: 1,9 => UNS
* INC # A8: 4 # B9: 1,9 => UNS
* INC # A8: 4 # D7: 1,9 => UNS
* INC # A8: 4 # D7: 4,6,8 => UNS
* INC # A8: 4 # B4: 1,9 => UNS
* INC # A8: 4 # B4: 2,4 => UNS
* INC # A8: 4 => UNS
* INC # B7: 4 # A9: 5,8 => UNS
* INC # B7: 4 # A9: 1 => UNS
* INC # B7: 4 # H8: 5,8 => UNS
* INC # B7: 4 # I8: 5,8 => UNS
* INC # B7: 4 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for F1,I1: 3..:

* INC # I1: 3 # E1: 1,4 => UNS
* INC # I1: 3 # D2: 1,4 => UNS
* INC # I1: 3 # F2: 1,4 => UNS
* INC # I1: 3 # H1: 1,4 => UNS
* INC # I1: 3 # H1: 2,5 => UNS
* INC # I1: 3 # F4: 1,4 => UNS
* INC # I1: 3 # F4: 6,8 => UNS
* DIS # I1: 3 # G2: 2,8 => CTR => G2: 4
* INC # I1: 3 + G2: 4 # G3: 2,8 => UNS
* INC # I1: 3 + G2: 4 # H3: 2,8 => UNS
* INC # I1: 3 + G2: 4 # I3: 2,8 => UNS
* INC # I1: 3 + G2: 4 # D2: 2,8 => UNS
* INC # I1: 3 + G2: 4 # D2: 1,3,6 => UNS
* INC # I1: 3 + G2: 4 # I4: 2,8 => UNS
* INC # I1: 3 + G2: 4 # I8: 2,8 => UNS
* INC # I1: 3 + G2: 4 # E1: 1,4 => UNS
* INC # I1: 3 + G2: 4 # E1: 2 => UNS
* INC # I1: 3 + G2: 4 # F4: 1,4 => UNS
* INC # I1: 3 + G2: 4 # F4: 6,8 => UNS
* INC # I1: 3 + G2: 4 # G3: 2,8 => UNS
* INC # I1: 3 + G2: 4 # H3: 2,8 => UNS
* INC # I1: 3 + G2: 4 # I3: 2,8 => UNS
* INC # I1: 3 + G2: 4 # D2: 2,8 => UNS
* INC # I1: 3 + G2: 4 # D2: 1,3,6 => UNS
* INC # I1: 3 + G2: 4 # I4: 2,8 => UNS
* INC # I1: 3 + G2: 4 # I8: 2,8 => UNS
* INC # I1: 3 + G2: 4 => UNS
* INC # F1: 3 # H1: 2,5 => UNS
* INC # F1: 3 # G3: 2,5 => UNS
* INC # F1: 3 # H3: 2,5 => UNS
* INC # F1: 3 # I3: 2,5 => UNS
* INC # F1: 3 # C1: 2,5 => UNS
* INC # F1: 3 # C1: 1 => UNS
* INC # F1: 3 # I6: 2,5 => UNS
* INC # F1: 3 # I8: 2,5 => UNS
* INC # F1: 3 => UNS
* CNT  36 HDP CHAINS /  36 HYP OPENED

Full list of HDP chains traversed for D8,F8: 3..:

* INC # F8: 3 # E1: 1,4 => UNS
* INC # F8: 3 # D2: 1,4 => UNS
* INC # F8: 3 # F2: 1,4 => UNS
* INC # F8: 3 # H1: 1,4 => UNS
* INC # F8: 3 # H1: 2,5 => UNS
* INC # F8: 3 # F4: 1,4 => UNS
* INC # F8: 3 # F4: 6,8 => UNS
* DIS # F8: 3 # G2: 2,8 => CTR => G2: 4
* INC # F8: 3 + G2: 4 # G3: 2,8 => UNS
* INC # F8: 3 + G2: 4 # H3: 2,8 => UNS
* INC # F8: 3 + G2: 4 # I3: 2,8 => UNS
* INC # F8: 3 + G2: 4 # D2: 2,8 => UNS
* INC # F8: 3 + G2: 4 # D2: 1,3,6 => UNS
* INC # F8: 3 + G2: 4 # I4: 2,8 => UNS
* INC # F8: 3 + G2: 4 # I8: 2,8 => UNS
* INC # F8: 3 + G2: 4 # E1: 1,4 => UNS
* INC # F8: 3 + G2: 4 # E1: 2 => UNS
* INC # F8: 3 + G2: 4 # F4: 1,4 => UNS
* INC # F8: 3 + G2: 4 # F4: 6,8 => UNS
* INC # F8: 3 + G2: 4 # G3: 2,8 => UNS
* INC # F8: 3 + G2: 4 # H3: 2,8 => UNS
* INC # F8: 3 + G2: 4 # I3: 2,8 => UNS
* INC # F8: 3 + G2: 4 # D2: 2,8 => UNS
* INC # F8: 3 + G2: 4 # D2: 1,3,6 => UNS
* INC # F8: 3 + G2: 4 # I4: 2,8 => UNS
* INC # F8: 3 + G2: 4 # I8: 2,8 => UNS
* INC # F8: 3 + G2: 4 => UNS
* INC # D8: 3 => UNS
* CNT  28 HDP CHAINS /  28 HYP OPENED

Full list of HDP chains traversed for G6,I6: 3..:

* INC # I6: 3 # H1: 2,5 => UNS
* INC # I6: 3 # G3: 2,5 => UNS
* INC # I6: 3 # H3: 2,5 => UNS
* INC # I6: 3 # I3: 2,5 => UNS
* INC # I6: 3 # C1: 2,5 => UNS
* INC # I6: 3 # C1: 1 => UNS
* INC # I6: 3 # I8: 2,5 => UNS
* INC # I6: 3 # I8: 7,8,9 => UNS
* INC # I6: 3 # G2: 2,8 => UNS
* INC # I6: 3 # G3: 2,8 => UNS
* INC # I6: 3 # H3: 2,8 => UNS
* INC # I6: 3 # I3: 2,8 => UNS
* INC # I6: 3 # D2: 2,8 => UNS
* INC # I6: 3 # D2: 1,4,6 => UNS
* INC # I6: 3 # I4: 2,8 => UNS
* INC # I6: 3 # I8: 2,8 => UNS
* INC # I6: 3 => UNS
* INC # G6: 3 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for B2,B3: 3..:

* INC # B2: 3 # G2: 2,8 => UNS
* INC # B2: 3 # G3: 2,8 => UNS
* INC # B2: 3 # H3: 2,8 => UNS
* INC # B2: 3 # I3: 2,8 => UNS
* INC # B2: 3 # D2: 2,8 => UNS
* INC # B2: 3 # D2: 1,4,6 => UNS
* INC # B2: 3 # I4: 2,8 => UNS
* INC # B2: 3 # I8: 2,8 => UNS
* INC # B2: 3 => UNS
* INC # B3: 3 # C1: 1,2 => UNS
* INC # B3: 3 # C2: 1,2 => UNS
* INC # B3: 3 # D2: 1,2 => UNS
* INC # B3: 3 # D2: 3,4,6,8 => UNS
* INC # B3: 3 # B4: 1,2 => UNS
* INC # B3: 3 # B6: 1,2 => UNS
* INC # B3: 3 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for E9,G9: 7..:

* INC # G9: 7 # I7: 8,9 => UNS
* INC # G9: 7 # I8: 8,9 => UNS
* INC # G9: 7 # D7: 8,9 => UNS
* INC # G9: 7 # D7: 1,4,6 => UNS
* INC # G9: 7 # G4: 8,9 => UNS
* INC # G9: 7 # G5: 8,9 => UNS
* INC # G9: 7 => UNS
* INC # E9: 7 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for G3,I3: 7..:

* INC # G3: 7 # I7: 8,9 => UNS
* INC # G3: 7 # I8: 8,9 => UNS
* INC # G3: 7 # G9: 8,9 => UNS
* INC # G3: 7 # D7: 8,9 => UNS
* INC # G3: 7 # D7: 1,4,6 => UNS
* INC # G3: 7 # G4: 8,9 => UNS
* INC # G3: 7 # G5: 8,9 => UNS
* INC # G3: 7 => UNS
* INC # I3: 7 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for D3,F3: 9..:

* INC # D3: 9 => UNS
* INC # F3: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for I7,H9: 6..:

* INC # I7: 6 => UNS
* INC # H9: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for H1,H3: 1..:

* INC # H1: 1 # B3: 2,5 => UNS
* INC # H1: 1 # B3: 1,3 => UNS
* INC # H1: 1 # I1: 2,5 => UNS
* INC # H1: 1 # I1: 3 => UNS
* INC # H1: 1 # E8: 2,4 => UNS
* INC # H1: 1 # E8: 7,8 => UNS
* INC # H1: 1 # F8: 3,4 => UNS
* INC # H1: 1 # F8: 8,9 => UNS
* INC # H1: 1 # B3: 2,5 # I1: 2,5 => UNS
* INC # H1: 1 # B3: 2,5 # I1: 3 => UNS
* INC # H1: 1 # B3: 2,5 # D2: 1,6 => UNS
* INC # H1: 1 # B3: 2,5 # F2: 1,6 => UNS
* INC # H1: 1 # B3: 2,5 # C4: 1,6 => UNS
* INC # H1: 1 # B3: 2,5 # C4: 2,9 => UNS
* INC # H1: 1 # B3: 2,5 # D3: 1,6 => UNS
* INC # H1: 1 # B3: 2,5 # E3: 1,6 => UNS
* INC # H1: 1 # B3: 2,5 # F3: 1,6 => UNS
* INC # H1: 1 # B3: 2,5 # A6: 1,6 => UNS
* INC # H1: 1 # B3: 2,5 # A6: 4,5 => UNS
* DIS # H1: 1 # B3: 2,5 # G3: 2,5 => CTR => G3: 3,7,8
* INC # H1: 1 # B3: 2,5 + G3: 3,7,8 # H3: 2,5 => UNS
* PRF # H1: 1 # B3: 2,5 + G3: 3,7,8 # I3: 2,5 => SOL
* STA # H1: 1 # B3: 2,5 + G3: 3,7,8 + I3: 2,5
* CNT  22 HDP CHAINS /  24 HYP OPENED