Analysis of xx-ph-02320089-2019_03_16-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

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

Deep Constraint Pair Analysis

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

Very Deep Constraint Pair Analysis

Time used: 0:00:55.323778

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...4..9..8..65..8...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: 0:00:12.810937  START: 15:13:52.693625  END: 15:14:05.504562 2020-11-10
* 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: 0:02:36.904950  START: 15:14:05.505112  END: 15:16:42.410062 2020-11-10
* 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: 0:00:55.322362  START: 15:16:42.585329  END: 15:17:37.907691 2020-11-10
* 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

2320089;2019_03_16;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