Analysis of xx-ph-02237041-2019_01_07-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
- Deep Constraint Pair Analysis
- Very Deep Constraint Pair Analysis
Details
Appendix: Full HDP Chains
- A1. Deep Constraint Pair Analysis
- A2. Very Deep Constraint Pair Analysis

Original Sudoku

level: very deep

position: 98.76.5..4.....8....7..3.9.8...5.4...2............9..15..9...48.9..8..65......9.. initial

Autosolve

position: 98.76.5..4...9.8...578.3.9.8...5.4...2...8.5...5..9.815..9...48.9..8..65..8...9.. autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for E3,I3: 4..:

* DIS # E3: 4 # F9: 1,2 => CTR => F9: 4,5,6,7
* CNT   1 HDP CHAINS /  49 HYP OPENED

List of important HDP chains detected for F1,I1: 4..:

* DIS # I1: 4 # F9: 1,2 => CTR => F9: 4,5,6,7
* CNT   1 HDP CHAINS /  49 HYP OPENED

List of important HDP chains detected for I1,I3: 4..:

* DIS # I1: 4 # F9: 1,2 => CTR => F9: 4,5,6,7
* CNT   1 HDP CHAINS /  49 HYP OPENED

List of important HDP chains detected for F1,E3: 4..:

* DIS # E3: 4 # F9: 1,2 => CTR => F9: 4,5,6,7
* CNT   1 HDP CHAINS /  49 HYP OPENED

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

Very Deep Constraint Pair Analysis

Time used: 0:00:54.588335

List of important HDP chains detected for E3,I3: 4..:

* DIS # E3: 4 # F9: 1,2 => CTR => F9: 4,5,6,7
* PRF # E3: 4 + F9: 4,5,6,7 # F2: 1,2 # B4: 6,7 => SOL
* STA # E3: 4 + F9: 4,5,6,7 # F2: 1,2 + B4: 6,7
* CNT   2 HDP CHAINS /  63 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

`98.76.5..4.....8....7..3.9.8...5.4...2............9..15..9...48.9..8..65......9..`	initial
`98.76.5..4...9.8...578.3.9.8...5.4...2...8.5...5..9.815..9...48.9..8..65..8...9..`	autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F1,E3: 4.. / F1 = 4  =>  2 pairs (_) / E3 = 4  =>  2 pairs (_)
I1,I3: 4.. / I1 = 4  =>  2 pairs (_) / I3 = 4  =>  2 pairs (_)
C5,B6: 4.. / C5 = 4  =>  0 pairs (_) / B6 = 4  =>  0 pairs (_)
C8,B9: 4.. / C8 = 4  =>  0 pairs (_) / B9 = 4  =>  0 pairs (_)
F1,I1: 4.. / F1 = 4  =>  2 pairs (_) / I1 = 4  =>  2 pairs (_)
E3,I3: 4.. / E3 = 4  =>  2 pairs (_) / I3 = 4  =>  2 pairs (_)
B6,B9: 4.. / B6 = 4  =>  0 pairs (_) / B9 = 4  =>  0 pairs (_)
C5,C8: 4.. / C5 = 4  =>  0 pairs (_) / C8 = 4  =>  0 pairs (_)
D2,F2: 5.. / D2 = 5  =>  1 pairs (_) / F2 = 5  =>  1 pairs (_)
D9,F9: 5.. / D9 = 5  =>  1 pairs (_) / F9 = 5  =>  1 pairs (_)
D2,D9: 5.. / D2 = 5  =>  1 pairs (_) / D9 = 5  =>  1 pairs (_)
F2,F9: 5.. / F2 = 5  =>  1 pairs (_) / F9 = 5  =>  1 pairs (_)
H2,I2: 7.. / H2 = 7  =>  1 pairs (_) / I2 = 7  =>  2 pairs (_)
C4,C5: 9.. / C4 = 9  =>  0 pairs (_) / C5 = 9  =>  0 pairs (_)
I4,I5: 9.. / I4 = 9  =>  0 pairs (_) / I5 = 9  =>  0 pairs (_)
C4,I4: 9.. / C4 = 9  =>  0 pairs (_) / I4 = 9  =>  0 pairs (_)
C5,I5: 9.. / C5 = 9  =>  0 pairs (_) / I5 = 9  =>  0 pairs (_)
* DURATION: 0:00:12.939936  START: 12:52:06.408749  END: 12:52:19.348685 2020-11-06
* CP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E3,I3: 4.. / E3 = 4 ==>  2 pairs (_) / I3 = 4 ==>  2 pairs (_)
F1,I1: 4.. / F1 = 4 ==>  2 pairs (_) / I1 = 4 ==>  2 pairs (_)
I1,I3: 4.. / I1 = 4 ==>  2 pairs (_) / I3 = 4 ==>  2 pairs (_)
F1,E3: 4.. / F1 = 4 ==>  2 pairs (_) / E3 = 4 ==>  2 pairs (_)
H2,I2: 7.. / H2 = 7 ==>  1 pairs (_) / I2 = 7 ==>  2 pairs (_)
F2,F9: 5.. / F2 = 5 ==>  1 pairs (_) / F9 = 5 ==>  1 pairs (_)
D2,D9: 5.. / D2 = 5 ==>  1 pairs (_) / D9 = 5 ==>  1 pairs (_)
D9,F9: 5.. / D9 = 5 ==>  1 pairs (_) / F9 = 5 ==>  1 pairs (_)
D2,F2: 5.. / D2 = 5 ==>  1 pairs (_) / F2 = 5 ==>  1 pairs (_)
C5,I5: 9.. / C5 = 9 ==>  0 pairs (_) / I5 = 9 ==>  0 pairs (_)
C4,I4: 9.. / C4 = 9 ==>  0 pairs (_) / I4 = 9 ==>  0 pairs (_)
I4,I5: 9.. / I4 = 9 ==>  0 pairs (_) / I5 = 9 ==>  0 pairs (_)
C4,C5: 9.. / C4 = 9 ==>  0 pairs (_) / C5 = 9 ==>  0 pairs (_)
C5,C8: 4.. / C5 = 4 ==>  0 pairs (_) / C8 = 4 ==>  0 pairs (_)
B6,B9: 4.. / B6 = 4 ==>  0 pairs (_) / B9 = 4 ==>  0 pairs (_)
C8,B9: 4.. / C8 = 4 ==>  0 pairs (_) / B9 = 4 ==>  0 pairs (_)
C5,B6: 4.. / C5 = 4 ==>  0 pairs (_) / B6 = 4 ==>  0 pairs (_)
* DURATION: 0:02:35.599791  START: 12:52:19.349273  END: 12:54:54.949064 2020-11-06
* REASONING E3,I3: 4..
* DIS # E3: 4 # F9: 1,2 => CTR => F9: 4,5,6,7
* CNT   1 HDP CHAINS /  49 HYP OPENED
* REASONING F1,I1: 4..
* DIS # I1: 4 # F9: 1,2 => CTR => F9: 4,5,6,7
* CNT   1 HDP CHAINS /  49 HYP OPENED
* REASONING I1,I3: 4..
* DIS # I1: 4 # F9: 1,2 => CTR => F9: 4,5,6,7
* CNT   1 HDP CHAINS /  49 HYP OPENED
* REASONING F1,E3: 4..
* DIS # E3: 4 # F9: 1,2 => CTR => F9: 4,5,6,7
* CNT   1 HDP CHAINS /  49 HYP OPENED
* DCP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
E3,I3: 4.. / E3 = 4 ==>  0 pairs (*) / I3 = 4  =>  0 pairs (X)
* DURATION: 0:00:54.584906  START: 12:54:55.133051  END: 12:55:49.717957 2020-11-06
* REASONING E3,I3: 4..
* DIS # E3: 4 # F9: 1,2 => CTR => F9: 4,5,6,7
* PRF # E3: 4 + F9: 4,5,6,7 # F2: 1,2 # B4: 6,7 => SOL
* STA # E3: 4 + F9: 4,5,6,7 # F2: 1,2 + B4: 6,7
* CNT   2 HDP CHAINS /  63 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

2237041;2019_01_07;PAQ;25;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E3,I3: 4..:

* INC # E3: 4 # D2: 1,2 => UNS
* INC # E3: 4 # F2: 1,2 => UNS
* INC # E3: 4 # C1: 1,2 => UNS
* INC # E3: 4 # H1: 1,2 => UNS
* INC # E3: 4 # F4: 1,2 => UNS
* INC # E3: 4 # F7: 1,2 => UNS
* INC # E3: 4 # F8: 1,2 => UNS
* DIS # E3: 4 # F9: 1,2 => CTR => F9: 4,5,6,7
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # C1: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # H1: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F4: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F7: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F8: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I2: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # G3: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # A3: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # A3: 1 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I4: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I4: 3,7,9 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # C1: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # H1: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F4: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F7: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F8: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I2: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # G3: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # A3: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # A3: 1 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I4: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I4: 3,7,9 => UNS
* INC # E3: 4 + F9: 4,5,6,7 => UNS
* INC # I3: 4 # D2: 1,2 => UNS
* INC # I3: 4 # F2: 1,2 => UNS
* INC # I3: 4 # A3: 1,2 => UNS
* INC # I3: 4 # G3: 1,2 => UNS
* INC # I3: 4 # E7: 1,2 => UNS
* INC # I3: 4 # E9: 1,2 => UNS
* INC # I3: 4 # H1: 2,3 => UNS
* INC # I3: 4 # H2: 2,3 => UNS
* INC # I3: 4 # I2: 2,3 => UNS
* INC # I3: 4 # C1: 2,3 => UNS
* INC # I3: 4 # C1: 1 => UNS
* INC # I3: 4 # I4: 2,3 => UNS
* INC # I3: 4 # I9: 2,3 => UNS
* INC # I3: 4 => UNS
* CNT  49 HDP CHAINS /  49 HYP OPENED

Full list of HDP chains traversed for F1,I1: 4..:

* INC # F1: 4 # D2: 1,2 => UNS
* INC # F1: 4 # F2: 1,2 => UNS
* INC # F1: 4 # A3: 1,2 => UNS
* INC # F1: 4 # G3: 1,2 => UNS
* INC # F1: 4 # E7: 1,2 => UNS
* INC # F1: 4 # E9: 1,2 => UNS
* INC # F1: 4 # H1: 2,3 => UNS
* INC # F1: 4 # H2: 2,3 => UNS
* INC # F1: 4 # I2: 2,3 => UNS
* INC # F1: 4 # C1: 2,3 => UNS
* INC # F1: 4 # C1: 1 => UNS
* INC # F1: 4 # I4: 2,3 => UNS
* INC # F1: 4 # I9: 2,3 => UNS
* INC # F1: 4 => UNS
* INC # I1: 4 # D2: 1,2 => UNS
* INC # I1: 4 # F2: 1,2 => UNS
* INC # I1: 4 # C1: 1,2 => UNS
* INC # I1: 4 # H1: 1,2 => UNS
* INC # I1: 4 # F4: 1,2 => UNS
* INC # I1: 4 # F7: 1,2 => UNS
* INC # I1: 4 # F8: 1,2 => UNS
* DIS # I1: 4 # F9: 1,2 => CTR => F9: 4,5,6,7
* INC # I1: 4 + F9: 4,5,6,7 # D2: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # F2: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # C1: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # H1: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # F4: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # F7: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # F8: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # I2: 2,6 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # G3: 2,6 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # A3: 2,6 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # A3: 1 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # I4: 2,6 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # I4: 3,7,9 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # D2: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # F2: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # C1: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # H1: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # F4: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # F7: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # F8: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # I2: 2,6 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # G3: 2,6 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # A3: 2,6 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # A3: 1 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # I4: 2,6 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # I4: 3,7,9 => UNS
* INC # I1: 4 + F9: 4,5,6,7 => UNS
* CNT  49 HDP CHAINS /  49 HYP OPENED

Full list of HDP chains traversed for I1,I3: 4..:

* INC # I1: 4 # D2: 1,2 => UNS
* INC # I1: 4 # F2: 1,2 => UNS
* INC # I1: 4 # C1: 1,2 => UNS
* INC # I1: 4 # H1: 1,2 => UNS
* INC # I1: 4 # F4: 1,2 => UNS
* INC # I1: 4 # F7: 1,2 => UNS
* INC # I1: 4 # F8: 1,2 => UNS
* DIS # I1: 4 # F9: 1,2 => CTR => F9: 4,5,6,7
* INC # I1: 4 + F9: 4,5,6,7 # D2: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # F2: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # C1: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # H1: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # F4: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # F7: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # F8: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # I2: 2,6 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # G3: 2,6 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # A3: 2,6 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # A3: 1 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # I4: 2,6 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # I4: 3,7,9 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # D2: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # F2: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # C1: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # H1: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # F4: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # F7: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # F8: 1,2 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # I2: 2,6 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # G3: 2,6 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # A3: 2,6 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # A3: 1 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # I4: 2,6 => UNS
* INC # I1: 4 + F9: 4,5,6,7 # I4: 3,7,9 => UNS
* INC # I1: 4 + F9: 4,5,6,7 => UNS
* INC # I3: 4 # D2: 1,2 => UNS
* INC # I3: 4 # F2: 1,2 => UNS
* INC # I3: 4 # A3: 1,2 => UNS
* INC # I3: 4 # G3: 1,2 => UNS
* INC # I3: 4 # E7: 1,2 => UNS
* INC # I3: 4 # E9: 1,2 => UNS
* INC # I3: 4 # H1: 2,3 => UNS
* INC # I3: 4 # H2: 2,3 => UNS
* INC # I3: 4 # I2: 2,3 => UNS
* INC # I3: 4 # C1: 2,3 => UNS
* INC # I3: 4 # C1: 1 => UNS
* INC # I3: 4 # I4: 2,3 => UNS
* INC # I3: 4 # I9: 2,3 => UNS
* INC # I3: 4 => UNS
* CNT  49 HDP CHAINS /  49 HYP OPENED

Full list of HDP chains traversed for F1,E3: 4..:

* INC # F1: 4 # D2: 1,2 => UNS
* INC # F1: 4 # F2: 1,2 => UNS
* INC # F1: 4 # A3: 1,2 => UNS
* INC # F1: 4 # G3: 1,2 => UNS
* INC # F1: 4 # E7: 1,2 => UNS
* INC # F1: 4 # E9: 1,2 => UNS
* INC # F1: 4 # H1: 2,3 => UNS
* INC # F1: 4 # H2: 2,3 => UNS
* INC # F1: 4 # I2: 2,3 => UNS
* INC # F1: 4 # C1: 2,3 => UNS
* INC # F1: 4 # C1: 1 => UNS
* INC # F1: 4 # I4: 2,3 => UNS
* INC # F1: 4 # I9: 2,3 => UNS
* INC # F1: 4 => UNS
* INC # E3: 4 # D2: 1,2 => UNS
* INC # E3: 4 # F2: 1,2 => UNS
* INC # E3: 4 # C1: 1,2 => UNS
* INC # E3: 4 # H1: 1,2 => UNS
* INC # E3: 4 # F4: 1,2 => UNS
* INC # E3: 4 # F7: 1,2 => UNS
* INC # E3: 4 # F8: 1,2 => UNS
* DIS # E3: 4 # F9: 1,2 => CTR => F9: 4,5,6,7
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # C1: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # H1: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F4: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F7: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F8: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I2: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # G3: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # A3: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # A3: 1 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I4: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I4: 3,7,9 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # C1: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # H1: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F4: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F7: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F8: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I2: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # G3: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # A3: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # A3: 1 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I4: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I4: 3,7,9 => UNS
* INC # E3: 4 + F9: 4,5,6,7 => UNS
* CNT  49 HDP CHAINS /  49 HYP OPENED

Full list of HDP chains traversed for H2,I2: 7..:

* INC # I2: 7 # C1: 1,2 => UNS
* INC # I2: 7 # C2: 1,2 => UNS
* INC # I2: 7 # E3: 1,2 => UNS
* INC # I2: 7 # G3: 1,2 => UNS
* INC # I2: 7 # A8: 1,2 => UNS
* INC # I2: 7 # A9: 1,2 => UNS
* INC # I2: 7 # G7: 2,3 => UNS
* INC # I2: 7 # G8: 2,3 => UNS
* INC # I2: 7 # H9: 2,3 => UNS
* INC # I2: 7 # A9: 2,3 => UNS
* INC # I2: 7 # D9: 2,3 => UNS
* INC # I2: 7 # E9: 2,3 => UNS
* INC # I2: 7 # I1: 2,3 => UNS
* INC # I2: 7 # I4: 2,3 => UNS
* INC # I2: 7 => UNS
* INC # H2: 7 # I4: 2,3 => UNS
* INC # H2: 7 # G6: 2,3 => UNS
* INC # H2: 7 # D4: 2,3 => UNS
* INC # H2: 7 # D4: 1,6 => UNS
* INC # H2: 7 # H1: 2,3 => UNS
* INC # H2: 7 # H9: 2,3 => UNS
* INC # H2: 7 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for F2,F9: 5..:

* INC # F2: 5 # F1: 1,2 => UNS
* INC # F2: 5 # E3: 1,2 => UNS
* INC # F2: 5 # C2: 1,2 => UNS
* INC # F2: 5 # H2: 1,2 => UNS
* INC # F2: 5 # D4: 1,2 => UNS
* INC # F2: 5 # D8: 1,2 => UNS
* INC # F2: 5 => UNS
* INC # F9: 5 # F1: 1,2 => UNS
* INC # F9: 5 # E3: 1,2 => UNS
* INC # F9: 5 # C2: 1,2 => UNS
* INC # F9: 5 # H2: 1,2 => UNS
* INC # F9: 5 # F4: 1,2 => UNS
* INC # F9: 5 # F7: 1,2 => UNS
* INC # F9: 5 # F8: 1,2 => UNS
* INC # F9: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for D2,D9: 5..:

* INC # D2: 5 # F1: 1,2 => UNS
* INC # D2: 5 # E3: 1,2 => UNS
* INC # D2: 5 # C2: 1,2 => UNS
* INC # D2: 5 # H2: 1,2 => UNS
* INC # D2: 5 # F4: 1,2 => UNS
* INC # D2: 5 # F7: 1,2 => UNS
* INC # D2: 5 # F8: 1,2 => UNS
* INC # D2: 5 => UNS
* INC # D9: 5 # F1: 1,2 => UNS
* INC # D9: 5 # E3: 1,2 => UNS
* INC # D9: 5 # C2: 1,2 => UNS
* INC # D9: 5 # H2: 1,2 => UNS
* INC # D9: 5 # D4: 1,2 => UNS
* INC # D9: 5 # D8: 1,2 => UNS
* INC # D9: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for D9,F9: 5..:

* INC # D9: 5 # F1: 1,2 => UNS
* INC # D9: 5 # E3: 1,2 => UNS
* INC # D9: 5 # C2: 1,2 => UNS
* INC # D9: 5 # H2: 1,2 => UNS
* INC # D9: 5 # D4: 1,2 => UNS
* INC # D9: 5 # D8: 1,2 => UNS
* INC # D9: 5 => UNS
* INC # F9: 5 # F1: 1,2 => UNS
* INC # F9: 5 # E3: 1,2 => UNS
* INC # F9: 5 # C2: 1,2 => UNS
* INC # F9: 5 # H2: 1,2 => UNS
* INC # F9: 5 # F4: 1,2 => UNS
* INC # F9: 5 # F7: 1,2 => UNS
* INC # F9: 5 # F8: 1,2 => UNS
* INC # F9: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for D2,F2: 5..:

* INC # D2: 5 # F1: 1,2 => UNS
* INC # D2: 5 # E3: 1,2 => UNS
* INC # D2: 5 # C2: 1,2 => UNS
* INC # D2: 5 # H2: 1,2 => UNS
* INC # D2: 5 # F4: 1,2 => UNS
* INC # D2: 5 # F7: 1,2 => UNS
* INC # D2: 5 # F8: 1,2 => UNS
* INC # D2: 5 => UNS
* INC # F2: 5 # F1: 1,2 => UNS
* INC # F2: 5 # E3: 1,2 => UNS
* INC # F2: 5 # C2: 1,2 => UNS
* INC # F2: 5 # H2: 1,2 => UNS
* INC # F2: 5 # D4: 1,2 => UNS
* INC # F2: 5 # D8: 1,2 => UNS
* INC # F2: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for C5,I5: 9..:

* INC # C5: 9 => UNS
* INC # I5: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C4,I4: 9..:

* INC # C4: 9 => UNS
* INC # I4: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for I4,I5: 9..:

* INC # I4: 9 => UNS
* INC # I5: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C4,C5: 9..:

* INC # C4: 9 => UNS
* INC # C5: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C5,C8: 4..:

* INC # C5: 4 => UNS
* INC # C8: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B6,B9: 4..:

* INC # B6: 4 => UNS
* INC # B9: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C8,B9: 4..:

* INC # C8: 4 => UNS
* INC # B9: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C5,B6: 4..:

* INC # C5: 4 => UNS
* INC # B6: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for E3,I3: 4..:

* INC # E3: 4 # D2: 1,2 => UNS
* INC # E3: 4 # F2: 1,2 => UNS
* INC # E3: 4 # C1: 1,2 => UNS
* INC # E3: 4 # H1: 1,2 => UNS
* INC # E3: 4 # F4: 1,2 => UNS
* INC # E3: 4 # F7: 1,2 => UNS
* INC # E3: 4 # F8: 1,2 => UNS
* DIS # E3: 4 # F9: 1,2 => CTR => F9: 4,5,6,7
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # C1: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # H1: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F4: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F7: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F8: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I2: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # G3: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # A3: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # A3: 1 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I4: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I4: 3,7,9 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # C1: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # H1: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F4: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F7: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F8: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I2: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # G3: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # A3: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # A3: 1 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I4: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # I4: 3,7,9 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 # C1: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 # H1: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 # F4: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 # F7: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 # F8: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 # C2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 # H2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 # D4: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 # D8: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 # I2: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 # G3: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 # A3: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 # A3: 1 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 # I4: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 # I4: 3,7,9 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # D2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F2: 1,2 # C1: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F2: 1,2 # H1: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F2: 1,2 # C2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F2: 1,2 # H2: 1,2 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F2: 1,2 # I2: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F2: 1,2 # G3: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F2: 1,2 # A3: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F2: 1,2 # A3: 1 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F2: 1,2 # I4: 2,6 => UNS
* INC # E3: 4 + F9: 4,5,6,7 # F2: 1,2 # I4: 3,7 => UNS
* PRF # E3: 4 + F9: 4,5,6,7 # F2: 1,2 # B4: 6,7 => SOL
* STA # E3: 4 + F9: 4,5,6,7 # F2: 1,2 + B4: 6,7
* CNT  61 HDP CHAINS /  63 HYP OPENED