Analysis of xx-ph-01055137-13_07-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..75.....9...6......4.......3.658...7...79...6..7..2.1....96...5......8... initial

Autosolve

position: 98.7..6..75.....9...6......49......3.658...7...79...6..7..2.1....96...5......8... autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.243164

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

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

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

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:56.817192

List of important HDP chains detected for D4,G4: 5..:

* PRF # D4: 5 # H4: 2,8 # G2: 2,8 => SOL
* STA # D4: 5 # H4: 2,8 + G2: 2,8
* CNT   1 HDP CHAINS /  35 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..75.....9...6......4.......3.658...7...79...6..7..2.1....96...5......8... initial
98.7..6..75.....9...6......49......3.658...7...79...6..7..2.1....96...5......8... autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* PAIRS (4)
E4: 6,7
F4: 6,7
A7: 5,6
A9: 5,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A7,A9: 5.. / A7 = 5  =>  1 pairs (_) / A9 = 5  =>  4 pairs (_)
D4,G4: 5.. / D4 = 5  => 10 pairs (_) / G4 = 5  =>  5 pairs (_)
E2,F2: 6.. / E2 = 6  =>  0 pairs (_) / F2 = 6  =>  2 pairs (_)
E4,F4: 6.. / E4 = 6  =>  2 pairs (_) / F4 = 6  =>  0 pairs (_)
A7,A9: 6.. / A7 = 6  =>  4 pairs (_) / A9 = 6  =>  1 pairs (_)
I7,I9: 6.. / I7 = 6  =>  1 pairs (_) / I9 = 6  =>  4 pairs (_)
A7,I7: 6.. / A7 = 6  =>  4 pairs (_) / I7 = 6  =>  1 pairs (_)
A9,I9: 6.. / A9 = 6  =>  1 pairs (_) / I9 = 6  =>  4 pairs (_)
E2,E4: 6.. / E2 = 6  =>  0 pairs (_) / E4 = 6  =>  2 pairs (_)
F2,F4: 6.. / F2 = 6  =>  2 pairs (_) / F4 = 6  =>  0 pairs (_)
G3,I3: 7.. / G3 = 7  =>  4 pairs (_) / I3 = 7  =>  4 pairs (_)
E4,F4: 7.. / E4 = 7  =>  0 pairs (_) / F4 = 7  =>  2 pairs (_)
F4,F8: 7.. / F4 = 7  =>  2 pairs (_) / F8 = 7  =>  0 pairs (_)
E2,E3: 8.. / E2 = 8  =>  2 pairs (_) / E3 = 8  =>  2 pairs (_)
C4,A6: 8.. / C4 = 8  =>  7 pairs (_) / A6 = 8  =>  6 pairs (_)
C7,A8: 8.. / C7 = 8  =>  6 pairs (_) / A8 = 8  =>  7 pairs (_)
A6,A8: 8.. / A6 = 8  =>  6 pairs (_) / A8 = 8  =>  7 pairs (_)
C4,C7: 8.. / C4 = 8  =>  7 pairs (_) / C7 = 8  =>  6 pairs (_)
E3,F3: 9.. / E3 = 9  =>  2 pairs (_) / F3 = 9  =>  2 pairs (_)
G5,I5: 9.. / G5 = 9  =>  6 pairs (_) / I5 = 9  =>  3 pairs (_)
F7,E9: 9.. / F7 = 9  =>  2 pairs (_) / E9 = 9  =>  2 pairs (_)
F7,I7: 9.. / F7 = 9  =>  2 pairs (_) / I7 = 9  =>  2 pairs (_)
E3,E9: 9.. / E3 = 9  =>  2 pairs (_) / E9 = 9  =>  2 pairs (_)
F3,F7: 9.. / F3 = 9  =>  2 pairs (_) / F7 = 9  =>  2 pairs (_)
G5,G9: 9.. / G5 = 9  =>  6 pairs (_) / G9 = 9  =>  3 pairs (_)
* DURATION: 0:00:22.318284  START: 08:41:27.931698  END: 08:41:50.249982 2021-01-12
* CP COUNT: (25)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D4,G4: 5.. / D4 = 5 ==> 10 pairs (_) / G4 = 5 ==>  5 pairs (_)
C4,C7: 8.. / C4 = 8 ==>  7 pairs (_) / C7 = 8 ==>  6 pairs (_)
A6,A8: 8.. / A6 = 8 ==>  6 pairs (_) / A8 = 8 ==>  7 pairs (_)
C7,A8: 8.. / C7 = 8 ==>  6 pairs (_) / A8 = 8 ==>  7 pairs (_)
C4,A6: 8.. / C4 = 8 ==>  7 pairs (_) / A6 = 8 ==>  6 pairs (_)
G5,G9: 9.. / G5 = 9 ==>  6 pairs (_) / G9 = 9 ==>  3 pairs (_)
G5,I5: 9.. / G5 = 9 ==>  6 pairs (_) / I5 = 9 ==>  3 pairs (_)
G3,I3: 7.. / G3 = 7 ==>  4 pairs (_) / I3 = 7 ==>  4 pairs (_)
A9,I9: 6.. / A9 = 6 ==>  1 pairs (_) / I9 = 6 ==>  4 pairs (_)
A7,I7: 6.. / A7 = 6 ==>  4 pairs (_) / I7 = 6 ==>  1 pairs (_)
I7,I9: 6.. / I7 = 6 ==>  1 pairs (_) / I9 = 6 ==>  4 pairs (_)
A7,A9: 6.. / A7 = 6 ==>  4 pairs (_) / A9 = 6 ==>  1 pairs (_)
A7,A9: 5.. / A7 = 5 ==>  1 pairs (_) / A9 = 5 ==>  4 pairs (_)
F3,F7: 9.. / F3 = 9 ==>  2 pairs (_) / F7 = 9 ==>  2 pairs (_)
E3,E9: 9.. / E3 = 9 ==>  2 pairs (_) / E9 = 9 ==>  2 pairs (_)
F7,I7: 9.. / F7 = 9 ==>  2 pairs (_) / I7 = 9 ==>  2 pairs (_)
F7,E9: 9.. / F7 = 9 ==>  2 pairs (_) / E9 = 9 ==>  2 pairs (_)
E3,F3: 9.. / E3 = 9 ==>  2 pairs (_) / F3 = 9 ==>  2 pairs (_)
E2,E3: 8.. / E2 = 8 ==>  2 pairs (_) / E3 = 8 ==>  2 pairs (_)
F4,F8: 7.. / F4 = 7 ==>  2 pairs (_) / F8 = 7 ==>  0 pairs (_)
E4,F4: 7.. / E4 = 7 ==>  0 pairs (_) / F4 = 7 ==>  2 pairs (_)
F2,F4: 6.. / F2 = 6 ==>  2 pairs (_) / F4 = 6 ==>  0 pairs (_)
E2,E4: 6.. / E2 = 6 ==>  0 pairs (_) / E4 = 6 ==>  2 pairs (_)
E4,F4: 6.. / E4 = 6 ==>  2 pairs (_) / F4 = 6 ==>  0 pairs (_)
E2,F2: 6.. / E2 = 6 ==>  0 pairs (_) / F2 = 6 ==>  2 pairs (_)
* DURATION: 0:02:53.939770  START: 08:41:51.295809  END: 08:44:45.235579 2021-01-12
* DCP COUNT: (25)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
D4,G4: 5.. / D4 = 5 ==>  0 pairs (*) / G4 = 5  =>  0 pairs (X)
* DURATION: 0:00:56.814367  START: 08:44:45.567140  END: 08:45:42.381507 2021-01-12
* REASONING D4,G4: 5..
* PRF # D4: 5 # H4: 2,8 # G2: 2,8 => SOL
* STA # D4: 5 # H4: 2,8 + G2: 2,8
* CNT   1 HDP CHAINS /  35 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1055137;13_07;GP;24;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D4,G4: 5..:

* INC # D4: 5 # H4: 2,8 => UNS
* INC # D4: 5 # G6: 2,8 => UNS
* INC # D4: 5 # I6: 2,8 => UNS
* INC # D4: 5 # C4: 2,8 => UNS
* INC # D4: 5 # C4: 1 => UNS
* INC # D4: 5 # G2: 2,8 => UNS
* INC # D4: 5 # G3: 2,8 => UNS
* INC # D4: 5 # G8: 2,8 => UNS
* INC # D4: 5 # E8: 3,4 => UNS
* INC # D4: 5 # F8: 3,4 => UNS
* INC # D4: 5 # D9: 3,4 => UNS
* INC # D4: 5 # C7: 3,4 => UNS
* INC # D4: 5 # H7: 3,4 => UNS
* INC # D4: 5 # D2: 3,4 => UNS
* INC # D4: 5 # D3: 3,4 => UNS
* INC # D4: 5 # F3: 5,9 => UNS
* INC # D4: 5 # F3: 1,3,4 => UNS
* INC # D4: 5 # E3: 5,9 => UNS
* INC # D4: 5 # E3: 1,3,4,8 => UNS
* INC # D4: 5 # I9: 6,9 => UNS
* INC # D4: 5 # I9: 7 => UNS
* INC # D4: 5 # I9: 7,9 => UNS
* INC # D4: 5 # I9: 6 => UNS
* INC # D4: 5 => UNS
* INC # G4: 5 # F5: 1,2 => UNS
* INC # G4: 5 # F6: 1,2 => UNS
* INC # G4: 5 # C4: 1,2 => UNS
* INC # G4: 5 # H4: 1,2 => UNS
* INC # G4: 5 # D2: 1,2 => UNS
* INC # G4: 5 # D3: 1,2 => UNS
* INC # G4: 5 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for C4,C7: 8..:

* INC # C4: 8 # G6: 2,5 => UNS
* INC # C4: 8 # I6: 2,5 => UNS
* INC # C4: 8 # D4: 2,5 => UNS
* INC # C4: 8 # D4: 1 => UNS
* INC # C4: 8 # G3: 2,5 => UNS
* INC # C4: 8 # G3: 3,4,7,8 => UNS
* INC # C4: 8 # I5: 1,2 => UNS
* INC # C4: 8 # I6: 1,2 => UNS
* INC # C4: 8 # D4: 1,2 => UNS
* INC # C4: 8 # D4: 5 => UNS
* INC # C4: 8 # H1: 1,2 => UNS
* INC # C4: 8 # H3: 1,2 => UNS
* INC # C4: 8 # B8: 3,4 => UNS
* INC # C4: 8 # B9: 3,4 => UNS
* INC # C4: 8 # C9: 3,4 => UNS
* INC # C4: 8 # D7: 3,4 => UNS
* INC # C4: 8 # F7: 3,4 => UNS
* INC # C4: 8 # H7: 3,4 => UNS
* INC # C4: 8 # C1: 3,4 => UNS
* INC # C4: 8 # C2: 3,4 => UNS
* INC # C4: 8 => UNS
* INC # C7: 8 # A5: 1,2 => UNS
* INC # C7: 8 # B6: 1,2 => UNS
* INC # C7: 8 # D4: 1,2 => UNS
* INC # C7: 8 # H4: 1,2 => UNS
* INC # C7: 8 # C1: 1,2 => UNS
* INC # C7: 8 # C2: 1,2 => UNS
* INC # C7: 8 # C9: 1,2 => UNS
* INC # C7: 8 # G8: 3,4 => UNS
* INC # C7: 8 # G9: 3,4 => UNS
* INC # C7: 8 # H9: 3,4 => UNS
* INC # C7: 8 # D7: 3,4 => UNS
* INC # C7: 8 # F7: 3,4 => UNS
* INC # C7: 8 # H1: 3,4 => UNS
* INC # C7: 8 # H3: 3,4 => UNS
* INC # C7: 8 => UNS
* CNT  36 HDP CHAINS /  36 HYP OPENED

Full list of HDP chains traversed for A6,A8: 8..:

* INC # A8: 8 # G6: 2,5 => UNS
* INC # A8: 8 # I6: 2,5 => UNS
* INC # A8: 8 # D4: 2,5 => UNS
* INC # A8: 8 # D4: 1 => UNS
* INC # A8: 8 # G3: 2,5 => UNS
* INC # A8: 8 # G3: 3,4,7,8 => UNS
* INC # A8: 8 # I5: 1,2 => UNS
* INC # A8: 8 # I6: 1,2 => UNS
* INC # A8: 8 # D4: 1,2 => UNS
* INC # A8: 8 # D4: 5 => UNS
* INC # A8: 8 # H1: 1,2 => UNS
* INC # A8: 8 # H3: 1,2 => UNS
* INC # A8: 8 # B8: 3,4 => UNS
* INC # A8: 8 # B9: 3,4 => UNS
* INC # A8: 8 # C9: 3,4 => UNS
* INC # A8: 8 # D7: 3,4 => UNS
* INC # A8: 8 # F7: 3,4 => UNS
* INC # A8: 8 # H7: 3,4 => UNS
* INC # A8: 8 # C1: 3,4 => UNS
* INC # A8: 8 # C2: 3,4 => UNS
* INC # A8: 8 => UNS
* INC # A6: 8 # A5: 1,2 => UNS
* INC # A6: 8 # B6: 1,2 => UNS
* INC # A6: 8 # D4: 1,2 => UNS
* INC # A6: 8 # H4: 1,2 => UNS
* INC # A6: 8 # C1: 1,2 => UNS
* INC # A6: 8 # C2: 1,2 => UNS
* INC # A6: 8 # C9: 1,2 => UNS
* INC # A6: 8 # G8: 3,4 => UNS
* INC # A6: 8 # G9: 3,4 => UNS
* INC # A6: 8 # H9: 3,4 => UNS
* INC # A6: 8 # D7: 3,4 => UNS
* INC # A6: 8 # F7: 3,4 => UNS
* INC # A6: 8 # H1: 3,4 => UNS
* INC # A6: 8 # H3: 3,4 => UNS
* INC # A6: 8 => UNS
* CNT  36 HDP CHAINS /  36 HYP OPENED

Full list of HDP chains traversed for C7,A8: 8..:

* INC # A8: 8 # G6: 2,5 => UNS
* INC # A8: 8 # I6: 2,5 => UNS
* INC # A8: 8 # D4: 2,5 => UNS
* INC # A8: 8 # D4: 1 => UNS
* INC # A8: 8 # G3: 2,5 => UNS
* INC # A8: 8 # G3: 3,4,7,8 => UNS
* INC # A8: 8 # I5: 1,2 => UNS
* INC # A8: 8 # I6: 1,2 => UNS
* INC # A8: 8 # D4: 1,2 => UNS
* INC # A8: 8 # D4: 5 => UNS
* INC # A8: 8 # H1: 1,2 => UNS
* INC # A8: 8 # H3: 1,2 => UNS
* INC # A8: 8 # B8: 3,4 => UNS
* INC # A8: 8 # B9: 3,4 => UNS
* INC # A8: 8 # C9: 3,4 => UNS
* INC # A8: 8 # D7: 3,4 => UNS
* INC # A8: 8 # F7: 3,4 => UNS
* INC # A8: 8 # H7: 3,4 => UNS
* INC # A8: 8 # C1: 3,4 => UNS
* INC # A8: 8 # C2: 3,4 => UNS
* INC # A8: 8 => UNS
* INC # C7: 8 # A5: 1,2 => UNS
* INC # C7: 8 # B6: 1,2 => UNS
* INC # C7: 8 # D4: 1,2 => UNS
* INC # C7: 8 # H4: 1,2 => UNS
* INC # C7: 8 # C1: 1,2 => UNS
* INC # C7: 8 # C2: 1,2 => UNS
* INC # C7: 8 # C9: 1,2 => UNS
* INC # C7: 8 # G8: 3,4 => UNS
* INC # C7: 8 # G9: 3,4 => UNS
* INC # C7: 8 # H9: 3,4 => UNS
* INC # C7: 8 # D7: 3,4 => UNS
* INC # C7: 8 # F7: 3,4 => UNS
* INC # C7: 8 # H1: 3,4 => UNS
* INC # C7: 8 # H3: 3,4 => UNS
* INC # C7: 8 => UNS
* CNT  36 HDP CHAINS /  36 HYP OPENED

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

* INC # C4: 8 # G6: 2,5 => UNS
* INC # C4: 8 # I6: 2,5 => UNS
* INC # C4: 8 # D4: 2,5 => UNS
* INC # C4: 8 # D4: 1 => UNS
* INC # C4: 8 # G3: 2,5 => UNS
* INC # C4: 8 # G3: 3,4,7,8 => UNS
* INC # C4: 8 # I5: 1,2 => UNS
* INC # C4: 8 # I6: 1,2 => UNS
* INC # C4: 8 # D4: 1,2 => UNS
* INC # C4: 8 # D4: 5 => UNS
* INC # C4: 8 # H1: 1,2 => UNS
* INC # C4: 8 # H3: 1,2 => UNS
* INC # C4: 8 # B8: 3,4 => UNS
* INC # C4: 8 # B9: 3,4 => UNS
* INC # C4: 8 # C9: 3,4 => UNS
* INC # C4: 8 # D7: 3,4 => UNS
* INC # C4: 8 # F7: 3,4 => UNS
* INC # C4: 8 # H7: 3,4 => UNS
* INC # C4: 8 # C1: 3,4 => UNS
* INC # C4: 8 # C2: 3,4 => UNS
* INC # C4: 8 => UNS
* INC # A6: 8 # A5: 1,2 => UNS
* INC # A6: 8 # B6: 1,2 => UNS
* INC # A6: 8 # D4: 1,2 => UNS
* INC # A6: 8 # H4: 1,2 => UNS
* INC # A6: 8 # C1: 1,2 => UNS
* INC # A6: 8 # C2: 1,2 => UNS
* INC # A6: 8 # C9: 1,2 => UNS
* INC # A6: 8 # G8: 3,4 => UNS
* INC # A6: 8 # G9: 3,4 => UNS
* INC # A6: 8 # H9: 3,4 => UNS
* INC # A6: 8 # D7: 3,4 => UNS
* INC # A6: 8 # F7: 3,4 => UNS
* INC # A6: 8 # H1: 3,4 => UNS
* INC # A6: 8 # H3: 3,4 => UNS
* INC # A6: 8 => UNS
* CNT  36 HDP CHAINS /  36 HYP OPENED

Full list of HDP chains traversed for G5,G9: 9..:

* INC # G5: 9 => UNS
* INC # G9: 9 # G6: 2,4 => UNS
* INC # G9: 9 # I6: 2,4 => UNS
* INC # G9: 9 # F5: 2,4 => UNS
* INC # G9: 9 # F5: 1,3 => UNS
* INC # G9: 9 # G2: 2,4 => UNS
* INC # G9: 9 # G3: 2,4 => UNS
* INC # G9: 9 # G8: 2,4 => UNS
* INC # G9: 9 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for G5,I5: 9..:

* INC # G5: 9 => UNS
* INC # I5: 9 # G6: 2,4 => UNS
* INC # I5: 9 # I6: 2,4 => UNS
* INC # I5: 9 # F5: 2,4 => UNS
* INC # I5: 9 # F5: 1,3 => UNS
* INC # I5: 9 # G2: 2,4 => UNS
* INC # I5: 9 # G3: 2,4 => UNS
* INC # I5: 9 # G8: 2,4 => UNS
* INC # I5: 9 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

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

* INC # G3: 7 => UNS
* INC # I3: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A9,I9: 6..:

* INC # I9: 6 => UNS
* INC # A9: 6 # E8: 3,4 => UNS
* INC # A9: 6 # F8: 3,4 => UNS
* INC # A9: 6 # D9: 3,4 => UNS
* INC # A9: 6 # E9: 3,4 => UNS
* INC # A9: 6 # C7: 3,4 => UNS
* INC # A9: 6 # H7: 3,4 => UNS
* INC # A9: 6 # D2: 3,4 => UNS
* INC # A9: 6 # D3: 3,4 => UNS
* INC # A9: 6 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for A7,I7: 6..:

* INC # A7: 6 => UNS
* INC # I7: 6 # E8: 3,4 => UNS
* INC # I7: 6 # F8: 3,4 => UNS
* INC # I7: 6 # D9: 3,4 => UNS
* INC # I7: 6 # E9: 3,4 => UNS
* INC # I7: 6 # C7: 3,4 => UNS
* INC # I7: 6 # H7: 3,4 => UNS
* INC # I7: 6 # D2: 3,4 => UNS
* INC # I7: 6 # D3: 3,4 => UNS
* INC # I7: 6 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for I7,I9: 6..:

* INC # I9: 6 => UNS
* INC # I7: 6 # E8: 3,4 => UNS
* INC # I7: 6 # F8: 3,4 => UNS
* INC # I7: 6 # D9: 3,4 => UNS
* INC # I7: 6 # E9: 3,4 => UNS
* INC # I7: 6 # C7: 3,4 => UNS
* INC # I7: 6 # H7: 3,4 => UNS
* INC # I7: 6 # D2: 3,4 => UNS
* INC # I7: 6 # D3: 3,4 => UNS
* INC # I7: 6 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for A7,A9: 6..:

* INC # A7: 6 => UNS
* INC # A9: 6 # E8: 3,4 => UNS
* INC # A9: 6 # F8: 3,4 => UNS
* INC # A9: 6 # D9: 3,4 => UNS
* INC # A9: 6 # E9: 3,4 => UNS
* INC # A9: 6 # C7: 3,4 => UNS
* INC # A9: 6 # H7: 3,4 => UNS
* INC # A9: 6 # D2: 3,4 => UNS
* INC # A9: 6 # D3: 3,4 => UNS
* INC # A9: 6 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for A7,A9: 5..:

* INC # A9: 5 => UNS
* INC # A7: 5 # E8: 3,4 => UNS
* INC # A7: 5 # F8: 3,4 => UNS
* INC # A7: 5 # D9: 3,4 => UNS
* INC # A7: 5 # E9: 3,4 => UNS
* INC # A7: 5 # C7: 3,4 => UNS
* INC # A7: 5 # H7: 3,4 => UNS
* INC # A7: 5 # D2: 3,4 => UNS
* INC # A7: 5 # D3: 3,4 => UNS
* INC # A7: 5 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for F3,F7: 9..:

* INC # F3: 9 => UNS
* INC # F7: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E3,E9: 9..:

* INC # E3: 9 => UNS
* INC # E9: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F7,I7: 9..:

* INC # F7: 9 => UNS
* INC # I7: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F7,E9: 9..:

* INC # F7: 9 => UNS
* INC # E9: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E3,F3: 9..:

* INC # E3: 9 => UNS
* INC # F3: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E2,E3: 8..:

* INC # E2: 8 => UNS
* INC # E3: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F4,F8: 7..:

* INC # F4: 7 => UNS
* INC # F8: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E4,F4: 7..:

* INC # F4: 7 => UNS
* INC # E4: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F2,F4: 6..:

* INC # F2: 6 => UNS
* INC # F4: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E2,E4: 6..:

* INC # E4: 6 => UNS
* INC # E2: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E4,F4: 6..:

* INC # E4: 6 => UNS
* INC # F4: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E2,F2: 6..:

* INC # F2: 6 => UNS
* INC # E2: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for D4,G4: 5..:

* INC # D4: 5 # H4: 2,8 => UNS
* INC # D4: 5 # G6: 2,8 => UNS
* INC # D4: 5 # I6: 2,8 => UNS
* INC # D4: 5 # C4: 2,8 => UNS
* INC # D4: 5 # C4: 1 => UNS
* INC # D4: 5 # G2: 2,8 => UNS
* INC # D4: 5 # G3: 2,8 => UNS
* INC # D4: 5 # G8: 2,8 => UNS
* INC # D4: 5 # E8: 3,4 => UNS
* INC # D4: 5 # F8: 3,4 => UNS
* INC # D4: 5 # D9: 3,4 => UNS
* INC # D4: 5 # C7: 3,4 => UNS
* INC # D4: 5 # H7: 3,4 => UNS
* INC # D4: 5 # D2: 3,4 => UNS
* INC # D4: 5 # D3: 3,4 => UNS
* INC # D4: 5 # F3: 5,9 => UNS
* INC # D4: 5 # F3: 1,3,4 => UNS
* INC # D4: 5 # E3: 5,9 => UNS
* INC # D4: 5 # E3: 1,3,4,8 => UNS
* INC # D4: 5 # I9: 6,9 => UNS
* INC # D4: 5 # I9: 7 => UNS
* INC # D4: 5 # I9: 7,9 => UNS
* INC # D4: 5 # I9: 6 => UNS
* INC # D4: 5 # H4: 2,8 # F5: 2,3 => UNS
* INC # D4: 5 # H4: 2,8 # F5: 1,4 => UNS
* INC # D4: 5 # H4: 2,8 # A3: 2,3 => UNS
* INC # D4: 5 # H4: 2,8 # A8: 2,3 => UNS
* INC # D4: 5 # H4: 2,8 # F6: 2,3 => UNS
* INC # D4: 5 # H4: 2,8 # F6: 1,4 => UNS
* INC # D4: 5 # H4: 2,8 # B3: 2,3 => UNS
* INC # D4: 5 # H4: 2,8 # B8: 2,3 => UNS
* INC # D4: 5 # H4: 2,8 # B9: 2,3 => UNS
* PRF # D4: 5 # H4: 2,8 # G2: 2,8 => SOL
* STA # D4: 5 # H4: 2,8 + G2: 2,8
* CNT  33 HDP CHAINS /  35 HYP OPENED