Analysis of xx-ph-01417008-14_06-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..7..........5.98.7.5.........7..45.8...43....24...57.9....1..4........... initial

Autosolve

position: 98.7..6..7..5.......5.98.7.5.........7..45.8...43....24...57.9....1..4........... autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.163124

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: 0:00:00.000015

List of important HDP chains detected for B2,B3: 4..:

* DIS # B3: 4 # I1: 1,3 => CTR => I1: 4,5
* DIS # B3: 4 + I1: 4,5 # I4: 1,3 => CTR => I4: 4,6,7,9
* CNT   2 HDP CHAINS /  60 HYP OPENED

List of important HDP chains detected for A6,E6: 8..:

* DIS # E6: 8 # B6: 1,6 => CTR => B6: 9
* CNT   1 HDP CHAINS /  20 HYP OPENED

List of important HDP chains detected for C4,A6: 8..:

* DIS # C4: 8 # B6: 1,6 => CTR => B6: 9
* CNT   1 HDP CHAINS /  20 HYP OPENED

List of important HDP chains detected for H1,I1: 5..:

* DIS # H1: 5 # H4: 1,6 => CTR => H4: 3,4
* CNT   1 HDP CHAINS /  19 HYP OPENED

List of important HDP chains detected for H4,I4: 4..:

* DIS # I4: 4 # I1: 1,3 => CTR => I1: 5
* CNT   1 HDP CHAINS /  27 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: 0:00:44.945928

List of important HDP chains detected for D3,D9: 4..:

* DIS # D3: 4 # G3: 1,3 # A5: 2,6 => CTR => A5: 1,3
* PRF # D3: 4 # G3: 1,3 + A5: 1,3 # B4: 2,6 => SOL
* STA # D3: 4 # G3: 1,3 + A5: 1,3 + B4: 2,6
* CNT   2 HDP CHAINS /  32 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..........5.98.7.5.........7..45.8...43....24...57.9....1..4........... initial
98.7..6..7..5.......5.98.7.5.........7..45.8...43....24...57.9....1..4........... autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
G2: 8,9
I2: 8,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B2,B3: 4.. / B2 = 4  =>  2 pairs (_) / B3 = 4  =>  5 pairs (_)
H4,I4: 4.. / H4 = 4  =>  2 pairs (_) / I4 = 4  =>  3 pairs (_)
D9,F9: 4.. / D9 = 4  =>  4 pairs (_) / F9 = 4  =>  5 pairs (_)
D3,D9: 4.. / D3 = 4  =>  5 pairs (_) / D9 = 4  =>  4 pairs (_)
H1,I1: 5.. / H1 = 5  =>  3 pairs (_) / I1 = 5  =>  2 pairs (_)
G6,H6: 5.. / G6 = 5  =>  3 pairs (_) / H6 = 5  =>  2 pairs (_)
B8,B9: 5.. / B8 = 5  =>  2 pairs (_) / B9 = 5  =>  3 pairs (_)
G6,G9: 5.. / G6 = 5  =>  3 pairs (_) / G9 = 5  =>  2 pairs (_)
E4,E6: 7.. / E4 = 7  =>  2 pairs (_) / E6 = 7  =>  2 pairs (_)
C8,C9: 7.. / C8 = 7  =>  2 pairs (_) / C9 = 7  =>  2 pairs (_)
E6,G6: 7.. / E6 = 7  =>  2 pairs (_) / G6 = 7  =>  2 pairs (_)
C8,I8: 7.. / C8 = 7  =>  2 pairs (_) / I8 = 7  =>  2 pairs (_)
G2,I2: 8.. / G2 = 8  =>  0 pairs (_) / I2 = 8  =>  1 pairs (_)
C4,A6: 8.. / C4 = 8  =>  3 pairs (_) / A6 = 8  =>  2 pairs (_)
A6,E6: 8.. / A6 = 8  =>  2 pairs (_) / E6 = 8  =>  3 pairs (_)
G2,I2: 9.. / G2 = 9  =>  1 pairs (_) / I2 = 9  =>  0 pairs (_)
* DURATION: 0:00:12.889066  START: 06:31:56.037131  END: 06:32:08.926197 2020-10-05
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D3,D9: 4.. / D3 = 4 ==>  5 pairs (_) / D9 = 4 ==>  4 pairs (_)
D9,F9: 4.. / D9 = 4 ==>  4 pairs (_) / F9 = 4 ==>  5 pairs (_)
B2,B3: 4.. / B2 = 4 ==>  2 pairs (_) / B3 = 4 ==>  6 pairs (_)
A6,E6: 8.. / A6 = 8 ==>  2 pairs (_) / E6 = 8 ==>  6 pairs (_)
C4,A6: 8.. / C4 = 8 ==>  6 pairs (_) / A6 = 8 ==>  2 pairs (_)
G6,G9: 5.. / G6 = 5 ==>  3 pairs (_) / G9 = 5 ==>  2 pairs (_)
B8,B9: 5.. / B8 = 5 ==>  2 pairs (_) / B9 = 5 ==>  3 pairs (_)
G6,H6: 5.. / G6 = 5 ==>  3 pairs (_) / H6 = 5 ==>  2 pairs (_)
H1,I1: 5.. / H1 = 5 ==>  4 pairs (_) / I1 = 5 ==>  2 pairs (_)
H4,I4: 4.. / H4 = 4 ==>  2 pairs (_) / I4 = 4 ==>  3 pairs (_)
C8,I8: 7.. / C8 = 7 ==>  2 pairs (_) / I8 = 7 ==>  2 pairs (_)
E6,G6: 7.. / E6 = 7 ==>  2 pairs (_) / G6 = 7 ==>  2 pairs (_)
C8,C9: 7.. / C8 = 7 ==>  2 pairs (_) / C9 = 7 ==>  2 pairs (_)
E4,E6: 7.. / E4 = 7 ==>  2 pairs (_) / E6 = 7 ==>  2 pairs (_)
G2,I2: 9.. / G2 = 9 ==>  1 pairs (_) / I2 = 9 ==>  0 pairs (_)
G2,I2: 8.. / G2 = 8 ==>  0 pairs (_) / I2 = 8 ==>  1 pairs (_)
* DURATION: 0:02:36.567552  START: 06:32:09.675318  END: 06:34:46.242870 2020-10-05
* REASONING B2,B3: 4..
* DIS # B3: 4 # I1: 1,3 => CTR => I1: 4,5
* DIS # B3: 4 + I1: 4,5 # I4: 1,3 => CTR => I4: 4,6,7,9
* CNT   2 HDP CHAINS /  60 HYP OPENED
* REASONING A6,E6: 8..
* DIS # E6: 8 # B6: 1,6 => CTR => B6: 9
* CNT   1 HDP CHAINS /  20 HYP OPENED
* REASONING C4,A6: 8..
* DIS # C4: 8 # B6: 1,6 => CTR => B6: 9
* CNT   1 HDP CHAINS /  20 HYP OPENED
* REASONING H1,I1: 5..
* DIS # H1: 5 # H4: 1,6 => CTR => H4: 3,4
* CNT   1 HDP CHAINS /  19 HYP OPENED
* REASONING H4,I4: 4..
* DIS # I4: 4 # I1: 1,3 => CTR => I1: 5
* CNT   1 HDP CHAINS /  27 HYP OPENED
* DCP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
D3,D9: 4.. / D3 = 4 ==>  0 pairs (*) / D9 = 4  =>  0 pairs (X)
* DURATION: 0:00:44.943188  START: 06:34:46.420438  END: 06:35:31.363626 2020-10-05
* REASONING D3,D9: 4..
* DIS # D3: 4 # G3: 1,3 # A5: 2,6 => CTR => A5: 1,3
* PRF # D3: 4 # G3: 1,3 + A5: 1,3 # B4: 2,6 => SOL
* STA # D3: 4 # G3: 1,3 + A5: 1,3 + B4: 2,6
* CNT   2 HDP CHAINS /  32 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1417008;14_06;GP;23;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D3,D9: 4..:

* INC # D3: 4 # H2: 1,3 => UNS
* INC # D3: 4 # G3: 1,3 => UNS
* INC # D3: 4 # A3: 1,3 => UNS
* INC # D3: 4 # B3: 1,3 => UNS
* INC # D3: 4 # I4: 1,3 => UNS
* INC # D3: 4 # I5: 1,3 => UNS
* INC # D3: 4 # I7: 1,3 => UNS
* INC # D3: 4 # I9: 1,3 => UNS
* INC # D3: 4 => UNS
* INC # D9: 4 # E2: 2,6 => UNS
* INC # D9: 4 # F2: 2,6 => UNS
* INC # D9: 4 # A3: 2,6 => UNS
* INC # D9: 4 # B3: 2,6 => UNS
* INC # D9: 4 # D4: 2,6 => UNS
* INC # D9: 4 # D5: 2,6 => UNS
* INC # D9: 4 # D7: 2,6 => UNS
* INC # D9: 4 # E4: 1,6 => UNS
* INC # D9: 4 # F4: 1,6 => UNS
* INC # D9: 4 # E6: 1,6 => UNS
* INC # D9: 4 # A6: 1,6 => UNS
* INC # D9: 4 # B6: 1,6 => UNS
* INC # D9: 4 # H6: 1,6 => UNS
* INC # D9: 4 # F2: 1,6 => UNS
* INC # D9: 4 # F2: 2,3,4 => UNS
* INC # D9: 4 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for D9,F9: 4..:

* INC # F9: 4 # H2: 1,3 => UNS
* INC # F9: 4 # G3: 1,3 => UNS
* INC # F9: 4 # A3: 1,3 => UNS
* INC # F9: 4 # B3: 1,3 => UNS
* INC # F9: 4 # I4: 1,3 => UNS
* INC # F9: 4 # I5: 1,3 => UNS
* INC # F9: 4 # I7: 1,3 => UNS
* INC # F9: 4 # I9: 1,3 => UNS
* INC # F9: 4 => UNS
* INC # D9: 4 # E2: 2,6 => UNS
* INC # D9: 4 # F2: 2,6 => UNS
* INC # D9: 4 # A3: 2,6 => UNS
* INC # D9: 4 # B3: 2,6 => UNS
* INC # D9: 4 # D4: 2,6 => UNS
* INC # D9: 4 # D5: 2,6 => UNS
* INC # D9: 4 # D7: 2,6 => UNS
* INC # D9: 4 # E4: 1,6 => UNS
* INC # D9: 4 # F4: 1,6 => UNS
* INC # D9: 4 # E6: 1,6 => UNS
* INC # D9: 4 # A6: 1,6 => UNS
* INC # D9: 4 # B6: 1,6 => UNS
* INC # D9: 4 # H6: 1,6 => UNS
* INC # D9: 4 # F2: 1,6 => UNS
* INC # D9: 4 # F2: 2,3,4 => UNS
* INC # D9: 4 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for B2,B3: 4..:

* INC # B3: 4 # E2: 2,6 => UNS
* INC # B3: 4 # F2: 2,6 => UNS
* INC # B3: 4 # A3: 2,6 => UNS
* INC # B3: 4 # A3: 1,3 => UNS
* INC # B3: 4 # D4: 2,6 => UNS
* INC # B3: 4 # D5: 2,6 => UNS
* INC # B3: 4 # D7: 2,6 => UNS
* INC # B3: 4 # H1: 1,3 => UNS
* DIS # B3: 4 # I1: 1,3 => CTR => I1: 4,5
* INC # B3: 4 + I1: 4,5 # H2: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 # G3: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 # A3: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 # A3: 2,6 => UNS
* DIS # B3: 4 + I1: 4,5 # I4: 1,3 => CTR => I4: 4,6,7,9
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # I5: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # I7: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # I9: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # H1: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # H2: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # G3: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # A3: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # A3: 2,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # I5: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # I7: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # I9: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # E4: 1,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # F4: 1,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # E6: 1,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # A6: 1,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # B6: 1,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # H6: 1,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # F2: 1,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # F2: 2,3,4 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # E2: 2,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # F2: 2,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # A3: 2,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # A3: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # D4: 2,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # D5: 2,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # D7: 2,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # H1: 4,5 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # H1: 1,2,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # H1: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # H2: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # G3: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # A3: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # A3: 2,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # I5: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # I7: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # I9: 1,3 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # E4: 1,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # F4: 1,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # E6: 1,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # A6: 1,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # B6: 1,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # H6: 1,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # F2: 1,6 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 # F2: 2,3,4 => UNS
* INC # B3: 4 + I1: 4,5 + I4: 4,6,7,9 => UNS
* INC # B2: 4 => UNS
* CNT  60 HDP CHAINS /  60 HYP OPENED

Full list of HDP chains traversed for A6,E6: 8..:

* INC # E6: 8 # B4: 1,6 => UNS
* INC # E6: 8 # A5: 1,6 => UNS
* INC # E6: 8 # C5: 1,6 => UNS
* DIS # E6: 8 # B6: 1,6 => CTR => B6: 9
* INC # E6: 8 + B6: 9 # A3: 1,6 => UNS
* INC # E6: 8 + B6: 9 # A9: 1,6 => UNS
* INC # E6: 8 + B6: 9 # B4: 1,6 => UNS
* INC # E6: 8 + B6: 9 # A5: 1,6 => UNS
* INC # E6: 8 + B6: 9 # C5: 1,6 => UNS
* INC # E6: 8 + B6: 9 # A3: 1,6 => UNS
* INC # E6: 8 + B6: 9 # A9: 1,6 => UNS
* INC # E6: 8 + B6: 9 # B4: 1,6 => UNS
* INC # E6: 8 + B6: 9 # A5: 1,6 => UNS
* INC # E6: 8 + B6: 9 # C5: 1,6 => UNS
* INC # E6: 8 + B6: 9 # A3: 1,6 => UNS
* INC # E6: 8 + B6: 9 # A9: 1,6 => UNS
* INC # E6: 8 + B6: 9 # F4: 1,6 => UNS
* INC # E6: 8 + B6: 9 # F4: 2,9 => UNS
* INC # E6: 8 + B6: 9 => UNS
* INC # A6: 8 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for C4,A6: 8..:

* INC # C4: 8 # B4: 1,6 => UNS
* INC # C4: 8 # A5: 1,6 => UNS
* INC # C4: 8 # C5: 1,6 => UNS
* DIS # C4: 8 # B6: 1,6 => CTR => B6: 9
* INC # C4: 8 + B6: 9 # A3: 1,6 => UNS
* INC # C4: 8 + B6: 9 # A9: 1,6 => UNS
* INC # C4: 8 + B6: 9 # B4: 1,6 => UNS
* INC # C4: 8 + B6: 9 # A5: 1,6 => UNS
* INC # C4: 8 + B6: 9 # C5: 1,6 => UNS
* INC # C4: 8 + B6: 9 # A3: 1,6 => UNS
* INC # C4: 8 + B6: 9 # A9: 1,6 => UNS
* INC # C4: 8 + B6: 9 # B4: 1,6 => UNS
* INC # C4: 8 + B6: 9 # A5: 1,6 => UNS
* INC # C4: 8 + B6: 9 # C5: 1,6 => UNS
* INC # C4: 8 + B6: 9 # A3: 1,6 => UNS
* INC # C4: 8 + B6: 9 # A9: 1,6 => UNS
* INC # C4: 8 + B6: 9 # F4: 1,6 => UNS
* INC # C4: 8 + B6: 9 # F4: 2,9 => UNS
* INC # C4: 8 + B6: 9 => UNS
* INC # A6: 8 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for G6,G9: 5..:

* INC # G6: 5 # H4: 1,6 => UNS
* INC # G6: 5 # I4: 1,6 => UNS
* INC # G6: 5 # I5: 1,6 => UNS
* INC # G6: 5 # B6: 1,6 => UNS
* INC # G6: 5 # F6: 1,6 => UNS
* INC # G6: 5 # H9: 1,6 => UNS
* INC # G6: 5 # H9: 2,3,5 => UNS
* INC # G6: 5 => UNS
* INC # G9: 5 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for B8,B9: 5..:

* INC # B9: 5 # H4: 1,6 => UNS
* INC # B9: 5 # I4: 1,6 => UNS
* INC # B9: 5 # I5: 1,6 => UNS
* INC # B9: 5 # B6: 1,6 => UNS
* INC # B9: 5 # F6: 1,6 => UNS
* INC # B9: 5 # H9: 1,6 => UNS
* INC # B9: 5 # H9: 2,3 => UNS
* INC # B9: 5 => UNS
* INC # B8: 5 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for G6,H6: 5..:

* INC # G6: 5 # H4: 1,6 => UNS
* INC # G6: 5 # I4: 1,6 => UNS
* INC # G6: 5 # I5: 1,6 => UNS
* INC # G6: 5 # B6: 1,6 => UNS
* INC # G6: 5 # F6: 1,6 => UNS
* INC # G6: 5 # H9: 1,6 => UNS
* INC # G6: 5 # H9: 2,3,5 => UNS
* INC # G6: 5 => UNS
* INC # H6: 5 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for H1,I1: 5..:

* DIS # H1: 5 # H4: 1,6 => CTR => H4: 3,4
* INC # H1: 5 + H4: 3,4 # I4: 1,6 => UNS
* INC # H1: 5 + H4: 3,4 # I5: 1,6 => UNS
* INC # H1: 5 + H4: 3,4 # B6: 1,6 => UNS
* INC # H1: 5 + H4: 3,4 # F6: 1,6 => UNS
* INC # H1: 5 + H4: 3,4 # H9: 1,6 => UNS
* INC # H1: 5 + H4: 3,4 # H9: 2,3 => UNS
* INC # H1: 5 + H4: 3,4 # I4: 3,4 => UNS
* INC # H1: 5 + H4: 3,4 # I4: 1,6,7,9 => UNS
* INC # H1: 5 + H4: 3,4 # H2: 3,4 => UNS
* INC # H1: 5 + H4: 3,4 # H2: 1,2 => UNS
* INC # H1: 5 + H4: 3,4 # I4: 1,6 => UNS
* INC # H1: 5 + H4: 3,4 # I5: 1,6 => UNS
* INC # H1: 5 + H4: 3,4 # B6: 1,6 => UNS
* INC # H1: 5 + H4: 3,4 # F6: 1,6 => UNS
* INC # H1: 5 + H4: 3,4 # H9: 1,6 => UNS
* INC # H1: 5 + H4: 3,4 # H9: 2,3 => UNS
* INC # H1: 5 + H4: 3,4 => UNS
* INC # I1: 5 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for H4,I4: 4..:

* INC # I4: 4 # H1: 1,3 => UNS
* DIS # I4: 4 # I1: 1,3 => CTR => I1: 5
* INC # I4: 4 + I1: 5 # H2: 1,3 => UNS
* INC # I4: 4 + I1: 5 # G3: 1,3 => UNS
* INC # I4: 4 + I1: 5 # A3: 1,3 => UNS
* INC # I4: 4 + I1: 5 # B3: 1,3 => UNS
* INC # I4: 4 + I1: 5 # I5: 1,3 => UNS
* INC # I4: 4 + I1: 5 # I7: 1,3 => UNS
* INC # I4: 4 + I1: 5 # I9: 1,3 => UNS
* INC # I4: 4 + I1: 5 # H1: 1,3 => UNS
* INC # I4: 4 + I1: 5 # H2: 1,3 => UNS
* INC # I4: 4 + I1: 5 # G3: 1,3 => UNS
* INC # I4: 4 + I1: 5 # A3: 1,3 => UNS
* INC # I4: 4 + I1: 5 # B3: 1,3 => UNS
* INC # I4: 4 + I1: 5 # I5: 1,3 => UNS
* INC # I4: 4 + I1: 5 # I7: 1,3 => UNS
* INC # I4: 4 + I1: 5 # I9: 1,3 => UNS
* INC # I4: 4 + I1: 5 # H1: 1,3 => UNS
* INC # I4: 4 + I1: 5 # H2: 1,3 => UNS
* INC # I4: 4 + I1: 5 # G3: 1,3 => UNS
* INC # I4: 4 + I1: 5 # A3: 1,3 => UNS
* INC # I4: 4 + I1: 5 # B3: 1,3 => UNS
* INC # I4: 4 + I1: 5 # I5: 1,3 => UNS
* INC # I4: 4 + I1: 5 # I7: 1,3 => UNS
* INC # I4: 4 + I1: 5 # I9: 1,3 => UNS
* INC # I4: 4 + I1: 5 => UNS
* INC # H4: 4 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for C8,I8: 7..:

* INC # C8: 7 => UNS
* INC # I8: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E6,G6: 7..:

* INC # E6: 7 => UNS
* INC # G6: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C8,C9: 7..:

* INC # C8: 7 => UNS
* INC # C9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E4,E6: 7..:

* INC # E4: 7 => UNS
* INC # E6: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for G2,I2: 9..:

* INC # G2: 9 # G4: 1,3 => UNS
* INC # G2: 9 # H4: 1,3 => UNS
* INC # G2: 9 # I4: 1,3 => UNS
* INC # G2: 9 # I5: 1,3 => UNS
* INC # G2: 9 # A5: 1,3 => UNS
* INC # G2: 9 # C5: 1,3 => UNS
* INC # G2: 9 # G3: 1,3 => UNS
* INC # G2: 9 # G7: 1,3 => UNS
* INC # G2: 9 # G9: 1,3 => UNS
* INC # G2: 9 => UNS
* INC # I2: 9 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for G2,I2: 8..:

* INC # I2: 8 # G4: 1,3 => UNS
* INC # I2: 8 # H4: 1,3 => UNS
* INC # I2: 8 # I4: 1,3 => UNS
* INC # I2: 8 # I5: 1,3 => UNS
* INC # I2: 8 # A5: 1,3 => UNS
* INC # I2: 8 # C5: 1,3 => UNS
* INC # I2: 8 # G3: 1,3 => UNS
* INC # I2: 8 # G7: 1,3 => UNS
* INC # I2: 8 # G9: 1,3 => UNS
* INC # I2: 8 => UNS
* INC # G2: 8 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for D3,D9: 4..:

* INC # D3: 4 # H2: 1,3 => UNS
* INC # D3: 4 # G3: 1,3 => UNS
* INC # D3: 4 # A3: 1,3 => UNS
* INC # D3: 4 # B3: 1,3 => UNS
* INC # D3: 4 # I4: 1,3 => UNS
* INC # D3: 4 # I5: 1,3 => UNS
* INC # D3: 4 # I7: 1,3 => UNS
* INC # D3: 4 # I9: 1,3 => UNS
* INC # D3: 4 # H2: 1,3 # C2: 1,3 => UNS
* INC # D3: 4 # H2: 1,3 # E2: 1,3 => UNS
* INC # D3: 4 # H2: 1,3 # F2: 1,3 => UNS
* INC # D3: 4 # H2: 1,3 # H4: 1,3 => UNS
* INC # D3: 4 # H2: 1,3 # H9: 1,3 => UNS
* INC # D3: 4 # H2: 1,3 # A3: 1,3 => UNS
* INC # D3: 4 # H2: 1,3 # B3: 1,3 => UNS
* INC # D3: 4 # H2: 1,3 # I4: 1,3 => UNS
* INC # D3: 4 # H2: 1,3 # I5: 1,3 => UNS
* INC # D3: 4 # H2: 1,3 # I7: 1,3 => UNS
* INC # D3: 4 # H2: 1,3 # I9: 1,3 => UNS
* INC # D3: 4 # H2: 1,3 => UNS
* INC # D3: 4 # G3: 1,3 # E1: 1,3 => UNS
* INC # D3: 4 # G3: 1,3 # F1: 1,3 => UNS
* INC # D3: 4 # G3: 1,3 # E2: 1,3 => UNS
* INC # D3: 4 # G3: 1,3 # F2: 1,3 => UNS
* DIS # D3: 4 # G3: 1,3 # A5: 2,6 => CTR => A5: 1,3
* INC # D3: 4 # G3: 1,3 + A5: 1,3 # A8: 2,6 => UNS
* INC # D3: 4 # G3: 1,3 + A5: 1,3 # A9: 2,6 => UNS
* INC # D3: 4 # G3: 1,3 + A5: 1,3 # A8: 2,6 => UNS
* INC # D3: 4 # G3: 1,3 + A5: 1,3 # A9: 2,6 => UNS
* PRF # D3: 4 # G3: 1,3 + A5: 1,3 # B4: 2,6 => SOL
* STA # D3: 4 # G3: 1,3 + A5: 1,3 + B4: 2,6
* CNT  30 HDP CHAINS /  32 HYP OPENED