Analysis of xx-ph-02236495-2018_12_25-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..5...9..7...4......3.....5...5.....86..85....7.7.3..8...3.6.........72.1. initial

Autosolve

position: 98.7..6..5...9..7.7.4......3.....5...5.....86..85....7.7.3..86..3.6..7......72.1. 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

Time used: 0:00:00.000007

List of important HDP chains detected for A6,A9: 6..:

* DIS # A9: 6 # E3: 1,2 => CTR => E3: 3,5,6,8
* CNT   1 HDP CHAINS /  44 HYP OPENED

List of important HDP chains detected for A9,D9: 8..:

* DIS # D9: 8 # E3: 1,2 => CTR => E3: 3,5,6,8
* CNT   1 HDP CHAINS /  39 HYP OPENED

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

* DIS # A8: 8 # E3: 1,2 => CTR => E3: 3,5,6,8
* CNT   1 HDP CHAINS /  39 HYP OPENED

List of important HDP chains detected for C1,C2: 3..:

* DIS # C2: 3 # C4: 1,2 => CTR => C4: 6,7,9
* CNT   1 HDP CHAINS /  34 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: 0:00:47.543967

List of important HDP chains detected for A6,A9: 6..:

* DIS # A9: 6 # E3: 1,2 => CTR => E3: 3,5,6,8
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 # C1: 1,2 => CTR => C1: 3
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 # I1: 4 => CTR => I1: 1,2
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 # E4: 1,2 => CTR => E4: 4,6,8
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 # G3: 1,2 => CTR => G3: 3,9
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 # I3: 1,2 => CTR => I3: 3,5,8,9
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 # B3: 6 => CTR => B3: 1,2
* PRF # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 + B3: 1,2 # D5: 1,2 => SOL
* STA # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 + B3: 1,2 + D5: 1,2
* CNT   8 HDP CHAINS /  56 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..5...9..7...4......3.....5...5.....86..85....7.7.3..8...3.6.........72.1. initial
98.7..6..5...9..7.7.4......3.....5...5.....86..85....7.7.3..86..3.6..7......72.1. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C1,C2: 3.. / C1 = 3  =>  0 pairs (_) / C2 = 3  =>  2 pairs (_)
G9,I9: 3.. / G9 = 3  =>  0 pairs (_) / I9 = 3  =>  1 pairs (_)
C9,I9: 5.. / C9 = 5  =>  0 pairs (_) / I9 = 5  =>  1 pairs (_)
A6,A9: 6.. / A6 = 6  =>  1 pairs (_) / A9 = 6  =>  3 pairs (_)
C4,C5: 7.. / C4 = 7  =>  0 pairs (_) / C5 = 7  =>  0 pairs (_)
F4,F5: 7.. / F4 = 7  =>  0 pairs (_) / F5 = 7  =>  0 pairs (_)
C4,F4: 7.. / C4 = 7  =>  0 pairs (_) / F4 = 7  =>  0 pairs (_)
C5,F5: 7.. / C5 = 7  =>  0 pairs (_) / F5 = 7  =>  0 pairs (_)
I2,I3: 8.. / I2 = 8  =>  0 pairs (_) / I3 = 8  =>  1 pairs (_)
A8,A9: 8.. / A8 = 8  =>  2 pairs (_) / A9 = 8  =>  1 pairs (_)
A9,D9: 8.. / A9 = 8  =>  1 pairs (_) / D9 = 8  =>  2 pairs (_)
* DURATION: 0:00:07.221273  START: 03:12:48.010570  END: 03:12:55.231843 2020-11-05
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A6,A9: 6.. / A6 = 6 ==>  1 pairs (_) / A9 = 6 ==>  3 pairs (_)
A9,D9: 8.. / A9 = 8 ==>  1 pairs (_) / D9 = 8 ==>  2 pairs (_)
A8,A9: 8.. / A8 = 8 ==>  2 pairs (_) / A9 = 8 ==>  1 pairs (_)
C1,C2: 3.. / C1 = 3 ==>  0 pairs (_) / C2 = 3 ==>  2 pairs (_)
I2,I3: 8.. / I2 = 8 ==>  0 pairs (_) / I3 = 8 ==>  1 pairs (_)
C9,I9: 5.. / C9 = 5 ==>  0 pairs (_) / I9 = 5 ==>  1 pairs (_)
G9,I9: 3.. / G9 = 3 ==>  0 pairs (_) / I9 = 3 ==>  1 pairs (_)
C5,F5: 7.. / C5 = 7 ==>  0 pairs (_) / F5 = 7 ==>  0 pairs (_)
C4,F4: 7.. / C4 = 7 ==>  0 pairs (_) / F4 = 7 ==>  0 pairs (_)
F4,F5: 7.. / F4 = 7 ==>  0 pairs (_) / F5 = 7 ==>  0 pairs (_)
C4,C5: 7.. / C4 = 7 ==>  0 pairs (_) / C5 = 7 ==>  0 pairs (_)
* DURATION: 0:01:28.455471  START: 03:12:55.232466  END: 03:14:23.687937 2020-11-05
* REASONING A6,A9: 6..
* DIS # A9: 6 # E3: 1,2 => CTR => E3: 3,5,6,8
* CNT   1 HDP CHAINS /  44 HYP OPENED
* REASONING A9,D9: 8..
* DIS # D9: 8 # E3: 1,2 => CTR => E3: 3,5,6,8
* CNT   1 HDP CHAINS /  39 HYP OPENED
* REASONING A8,A9: 8..
* DIS # A8: 8 # E3: 1,2 => CTR => E3: 3,5,6,8
* CNT   1 HDP CHAINS /  39 HYP OPENED
* REASONING C1,C2: 3..
* DIS # C2: 3 # C4: 1,2 => CTR => C4: 6,7,9
* CNT   1 HDP CHAINS /  34 HYP OPENED
* DCP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
A6,A9: 6.. / A6 = 6  =>  0 pairs (X) / A9 = 6 ==>  0 pairs (*)
* DURATION: 0:00:47.542771  START: 03:14:23.832225  END: 03:15:11.374996 2020-11-05
* REASONING A6,A9: 6..
* DIS # A9: 6 # E3: 1,2 => CTR => E3: 3,5,6,8
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 # C1: 1,2 => CTR => C1: 3
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 # I1: 4 => CTR => I1: 1,2
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 # E4: 1,2 => CTR => E4: 4,6,8
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 # G3: 1,2 => CTR => G3: 3,9
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 # I3: 1,2 => CTR => I3: 3,5,8,9
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 # B3: 6 => CTR => B3: 1,2
* PRF # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 + B3: 1,2 # D5: 1,2 => SOL
* STA # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 + B3: 1,2 + D5: 1,2
* CNT   8 HDP CHAINS /  56 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

2236495;2018_12_25;PAQ;24;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A6,A9: 6..:

* INC # A9: 6 # E1: 1,2 => UNS
* INC # A9: 6 # D2: 1,2 => UNS
* DIS # A9: 6 # E3: 1,2 => CTR => E3: 3,5,6,8
* INC # A9: 6 + E3: 3,5,6,8 # B3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # G3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # D4: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # D5: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # E1: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # D2: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # B3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # G3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # D4: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # D5: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # G9: 4,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I9: 4,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # B4: 4,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # B6: 4,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # C7: 5,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # C8: 5,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I9: 5,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I9: 3,4 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # E1: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # D2: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # B3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # G3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # D4: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # D5: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # G9: 4,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I9: 4,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # B4: 4,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # B6: 4,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # C7: 5,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # C8: 5,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I9: 5,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I9: 3,4 => UNS
* INC # A9: 6 + E3: 3,5,6,8 => UNS
* INC # A6: 6 # A8: 4,8 => UNS
* INC # A6: 6 # A8: 1,2 => UNS
* INC # A6: 6 # D9: 4,8 => UNS
* INC # A6: 6 # D9: 9 => UNS
* INC # A6: 6 => UNS
* CNT  44 HDP CHAINS /  44 HYP OPENED

Full list of HDP chains traversed for A9,D9: 8..:

* INC # D9: 8 # E1: 1,2 => UNS
* INC # D9: 8 # D2: 1,2 => UNS
* DIS # D9: 8 # E3: 1,2 => CTR => E3: 3,5,6,8
* INC # D9: 8 + E3: 3,5,6,8 # B3: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # G3: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # I3: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # D4: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # D5: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # E1: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # D2: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # B3: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # G3: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # I3: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # D4: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # D5: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # B9: 4,6 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # B9: 9 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # A6: 4,6 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # A6: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # E1: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # D2: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # B3: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # G3: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # I3: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # D4: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # D5: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # B9: 4,6 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # B9: 9 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # A6: 4,6 => UNS
* INC # D9: 8 + E3: 3,5,6,8 # A6: 1,2 => UNS
* INC # D9: 8 + E3: 3,5,6,8 => UNS
* INC # A9: 8 # F7: 4,9 => UNS
* INC # A9: 8 # F8: 4,9 => UNS
* INC # A9: 8 # B9: 4,9 => UNS
* INC # A9: 8 # G9: 4,9 => UNS
* INC # A9: 8 # I9: 4,9 => UNS
* INC # A9: 8 # D4: 4,9 => UNS
* INC # A9: 8 # D5: 4,9 => UNS
* INC # A9: 8 => UNS
* CNT  39 HDP CHAINS /  39 HYP OPENED

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

* INC # A8: 8 # E1: 1,2 => UNS
* INC # A8: 8 # D2: 1,2 => UNS
* DIS # A8: 8 # E3: 1,2 => CTR => E3: 3,5,6,8
* INC # A8: 8 + E3: 3,5,6,8 # B3: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # G3: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # I3: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # D4: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # D5: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # E1: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # D2: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # B3: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # G3: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # I3: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # D4: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # D5: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # B9: 4,6 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # B9: 9 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # A6: 4,6 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # A6: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # E1: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # D2: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # B3: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # G3: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # I3: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # D4: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # D5: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # B9: 4,6 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # B9: 9 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # A6: 4,6 => UNS
* INC # A8: 8 + E3: 3,5,6,8 # A6: 1,2 => UNS
* INC # A8: 8 + E3: 3,5,6,8 => UNS
* INC # A9: 8 # F7: 4,9 => UNS
* INC # A9: 8 # F8: 4,9 => UNS
* INC # A9: 8 # B9: 4,9 => UNS
* INC # A9: 8 # G9: 4,9 => UNS
* INC # A9: 8 # I9: 4,9 => UNS
* INC # A9: 8 # D4: 4,9 => UNS
* INC # A9: 8 # D5: 4,9 => UNS
* INC # A9: 8 => UNS
* CNT  39 HDP CHAINS /  39 HYP OPENED

Full list of HDP chains traversed for C1,C2: 3..:

* INC # C2: 3 # B2: 1,2 => UNS
* INC # C2: 3 # B3: 1,2 => UNS
* INC # C2: 3 # E1: 1,2 => UNS
* INC # C2: 3 # I1: 1,2 => UNS
* DIS # C2: 3 # C4: 1,2 => CTR => C4: 6,7,9
* INC # C2: 3 + C4: 6,7,9 # C5: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # C7: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # C8: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # B2: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # B3: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # E1: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # I1: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # C5: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # C7: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # C8: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # D9: 4,9 => UNS
* INC # C2: 3 + C4: 6,7,9 # G9: 4,9 => UNS
* INC # C2: 3 + C4: 6,7,9 # I9: 4,9 => UNS
* INC # C2: 3 + C4: 6,7,9 # B4: 4,9 => UNS
* INC # C2: 3 + C4: 6,7,9 # B6: 4,9 => UNS
* INC # C2: 3 + C4: 6,7,9 # B2: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # B3: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # E1: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # I1: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # C5: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # C7: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # C8: 1,2 => UNS
* INC # C2: 3 + C4: 6,7,9 # D9: 4,9 => UNS
* INC # C2: 3 + C4: 6,7,9 # G9: 4,9 => UNS
* INC # C2: 3 + C4: 6,7,9 # I9: 4,9 => UNS
* INC # C2: 3 + C4: 6,7,9 # B4: 4,9 => UNS
* INC # C2: 3 + C4: 6,7,9 # B6: 4,9 => UNS
* INC # C2: 3 + C4: 6,7,9 => UNS
* INC # C1: 3 => UNS
* CNT  34 HDP CHAINS /  34 HYP OPENED

Full list of HDP chains traversed for I2,I3: 8..:

* INC # I3: 8 # E1: 1,2 => UNS
* INC # I3: 8 # D2: 1,2 => UNS
* INC # I3: 8 # E3: 1,2 => UNS
* INC # I3: 8 # B3: 1,2 => UNS
* INC # I3: 8 # G3: 1,2 => UNS
* INC # I3: 8 # D4: 1,2 => UNS
* INC # I3: 8 # D5: 1,2 => UNS
* INC # I3: 8 => UNS
* INC # I2: 8 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for C9,I9: 5..:

* INC # I9: 5 # B9: 6,9 => UNS
* INC # I9: 5 # B9: 4 => UNS
* INC # I9: 5 # C4: 6,9 => UNS
* INC # I9: 5 # C4: 1,2,7 => UNS
* INC # I9: 5 => UNS
* INC # C9: 5 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for G9,I9: 3..:

* INC # I9: 3 # I7: 4,9 => UNS
* INC # I9: 3 # H8: 4,9 => UNS
* INC # I9: 3 # I8: 4,9 => UNS
* INC # I9: 3 # B9: 4,9 => UNS
* INC # I9: 3 # D9: 4,9 => UNS
* INC # I9: 3 # G5: 4,9 => UNS
* INC # I9: 3 # G6: 4,9 => UNS
* INC # I9: 3 => UNS
* INC # G9: 3 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for C5,F5: 7..:

* INC # C5: 7 => UNS
* INC # F5: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C4,F4: 7..:

* INC # C4: 7 => UNS
* INC # F4: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F4,F5: 7..:

* INC # F4: 7 => UNS
* INC # F5: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C4,C5: 7..:

* INC # C4: 7 => UNS
* INC # C5: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for A6,A9: 6..:

* INC # A9: 6 # E1: 1,2 => UNS
* INC # A9: 6 # D2: 1,2 => UNS
* DIS # A9: 6 # E3: 1,2 => CTR => E3: 3,5,6,8
* INC # A9: 6 + E3: 3,5,6,8 # B3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # G3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # D4: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # D5: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # E1: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # D2: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # B3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # G3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # D4: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # D5: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # G9: 4,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I9: 4,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # B4: 4,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # B6: 4,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # C7: 5,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # C8: 5,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I9: 5,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I9: 3,4 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # E1: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # D2: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # B3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # G3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I3: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # D4: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # D5: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # G9: 4,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I9: 4,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # B4: 4,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # B6: 4,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # C7: 5,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # C8: 5,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I9: 5,9 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # I9: 3,4 => UNS
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 # C1: 1,2 => CTR => C1: 3
* INC # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 # I1: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 # I1: 1,2 => UNS
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 # I1: 4 => CTR => I1: 1,2
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 # E4: 1,2 => CTR => E4: 4,6,8
* INC # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 # E5: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 # E6: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 # E5: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 # E6: 1,2 => UNS
* INC # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 # B3: 1,2 => UNS
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 # G3: 1,2 => CTR => G3: 3,9
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 # I3: 1,2 => CTR => I3: 3,5,8,9
* INC # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 # B3: 1,2 => UNS
* DIS # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 # B3: 6 => CTR => B3: 1,2
* INC # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 + B3: 1,2 # D4: 1,2 => UNS
* PRF # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 + B3: 1,2 # D5: 1,2 => SOL
* STA # A9: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 + B3: 1,2 + D5: 1,2
* CNT  54 HDP CHAINS /  56 HYP OPENED