Analysis of xx-ph-00332754-12_12_03-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: ........1.....2.34..4.3.5.......6.5...134...7.8.9.......7.5..1.16.......9..8..7.. initial

Autosolve

position: ........1.....2.34..4.3.5.......6.5...134...7.8.9.......7.5..1.16.......9..8..7.. autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.246230

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: 0:00:00.000019

List of important HDP chains detected for D7,E9: 6..:

* DIS # E9: 6 # G7: 2,4 => CTR => G7: 3,6,8,9
* CNT   1 HDP CHAINS /  40 HYP OPENED

List of important HDP chains detected for E4,F5: 8..:

* DIS # E4: 8 # A6: 2,6 => CTR => A6: 3,4,5,7
* DIS # E4: 8 + A6: 3,4,5,7 # B4: 2,9 => CTR => B4: 3,4,7
* CNT   2 HDP CHAINS /  38 HYP OPENED

List of important HDP chains detected for F5,F6: 5..:

* DIS # F5: 5 # A6: 2,6 => CTR => A6: 3,4,5,7
* DIS # F5: 5 + A6: 3,4,5,7 # B4: 2,9 => CTR => B4: 3,4,7
* CNT   2 HDP CHAINS /  38 HYP OPENED

List of important HDP chains detected for C8,I8: 5..:

* DIS # C8: 5 # C1: 2,3 => CTR => C1: 6,8,9
* CNT   1 HDP CHAINS /  15 HYP OPENED

List of important HDP chains detected for I8,I9: 5..:

* DIS # I9: 5 # C1: 2,3 => CTR => C1: 6,8,9
* CNT   1 HDP CHAINS /  15 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: 0:00:53.127461

List of important HDP chains detected for D7,E9: 6..:

* DIS # E9: 6 # G7: 2,4 => CTR => G7: 3,6,8,9
* DIS # E9: 6 + G7: 3,6,8,9 # A6: 5,7 # A1: 5,7 => CTR => A1: 2,3,6,8
* DIS # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 # A7: 2,4 => CTR => A7: 3,8
* DIS # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 # B7: 3 => CTR => B7: 2,4
* DIS # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 + B7: 2,4 # H8: 2,4 => CTR => H8: 8,9
* PRF # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 + B7: 2,4 + H8: 8,9 # G8: 3,8,9 => SOL
* STA # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 + B7: 2,4 + H8: 8,9 + G8: 3,8,9
* CNT   6 HDP CHAINS /  53 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

........1.....2.34..4.3.5.......6.5...134...7.8.9.......7.5..1.16.......9..8..7.. initial
........1.....2.34..4.3.5.......6.5...134...7.8.9.......7.5..1.16.......9..8..7.. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
F5: 5,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B2,B3: 1.. / B2 = 1  =>  1 pairs (_) / B3 = 1  =>  2 pairs (_)
G4,G6: 1.. / G4 = 1  =>  2 pairs (_) / G6 = 1  =>  3 pairs (_)
E9,F9: 1.. / E9 = 1  =>  4 pairs (_) / F9 = 1  =>  3 pairs (_)
D1,F1: 4.. / D1 = 4  =>  3 pairs (_) / F1 = 4  =>  3 pairs (_)
D1,D2: 5.. / D1 = 5  =>  3 pairs (_) / D2 = 5  =>  1 pairs (_)
F5,F6: 5.. / F5 = 5  =>  3 pairs (_) / F6 = 5  =>  0 pairs (_)
I8,I9: 5.. / I8 = 5  =>  1 pairs (_) / I9 = 5  =>  2 pairs (_)
C8,I8: 5.. / C8 = 5  =>  2 pairs (_) / I8 = 5  =>  1 pairs (_)
D7,E9: 6.. / D7 = 6  =>  3 pairs (_) / E9 = 6  =>  4 pairs (_)
H1,H3: 7.. / H1 = 7  =>  1 pairs (_) / H3 = 7  =>  2 pairs (_)
E4,F5: 8.. / E4 = 8  =>  3 pairs (_) / F5 = 8  =>  0 pairs (_)
A7,C8: 8.. / A7 = 8  =>  1 pairs (_) / C8 = 8  =>  1 pairs (_)
* DURATION: 0:00:09.514205  START: 15:13:11.419006  END: 15:13:20.933211 2020-12-25
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D7,E9: 6.. / D7 = 6 ==>  3 pairs (_) / E9 = 6 ==>  4 pairs (_)
E9,F9: 1.. / E9 = 1 ==>  4 pairs (_) / F9 = 1 ==>  3 pairs (_)
D1,F1: 4.. / D1 = 4 ==>  3 pairs (_) / F1 = 4 ==>  3 pairs (_)
G4,G6: 1.. / G4 = 1 ==>  2 pairs (_) / G6 = 1 ==>  3 pairs (_)
D1,D2: 5.. / D1 = 5 ==>  3 pairs (_) / D2 = 5 ==>  1 pairs (_)
E4,F5: 8.. / E4 = 8 ==>  3 pairs (_) / F5 = 8 ==>  0 pairs (_)
F5,F6: 5.. / F5 = 5 ==>  3 pairs (_) / F6 = 5 ==>  0 pairs (_)
H1,H3: 7.. / H1 = 7 ==>  1 pairs (_) / H3 = 7 ==>  2 pairs (_)
C8,I8: 5.. / C8 = 5 ==>  2 pairs (_) / I8 = 5 ==>  1 pairs (_)
I8,I9: 5.. / I8 = 5 ==>  1 pairs (_) / I9 = 5 ==>  2 pairs (_)
B2,B3: 1.. / B2 = 1 ==>  1 pairs (_) / B3 = 1 ==>  2 pairs (_)
A7,C8: 8.. / A7 = 8 ==>  1 pairs (_) / C8 = 8 ==>  1 pairs (_)
* DURATION: 0:01:54.587239  START: 15:13:21.730820  END: 15:15:16.318059 2020-12-25
* REASONING D7,E9: 6..
* DIS # E9: 6 # G7: 2,4 => CTR => G7: 3,6,8,9
* CNT   1 HDP CHAINS /  40 HYP OPENED
* REASONING E4,F5: 8..
* DIS # E4: 8 # A6: 2,6 => CTR => A6: 3,4,5,7
* DIS # E4: 8 + A6: 3,4,5,7 # B4: 2,9 => CTR => B4: 3,4,7
* CNT   2 HDP CHAINS /  38 HYP OPENED
* REASONING F5,F6: 5..
* DIS # F5: 5 # A6: 2,6 => CTR => A6: 3,4,5,7
* DIS # F5: 5 + A6: 3,4,5,7 # B4: 2,9 => CTR => B4: 3,4,7
* CNT   2 HDP CHAINS /  38 HYP OPENED
* REASONING C8,I8: 5..
* DIS # C8: 5 # C1: 2,3 => CTR => C1: 6,8,9
* CNT   1 HDP CHAINS /  15 HYP OPENED
* REASONING I8,I9: 5..
* DIS # I9: 5 # C1: 2,3 => CTR => C1: 6,8,9
* CNT   1 HDP CHAINS /  15 HYP OPENED
* DCP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
D7,E9: 6.. / D7 = 6  =>  0 pairs (X) / E9 = 6 ==>  0 pairs (*)
* DURATION: 0:00:53.126078  START: 15:15:16.451326  END: 15:16:09.577404 2020-12-25
* REASONING D7,E9: 6..
* DIS # E9: 6 # G7: 2,4 => CTR => G7: 3,6,8,9
* DIS # E9: 6 + G7: 3,6,8,9 # A6: 5,7 # A1: 5,7 => CTR => A1: 2,3,6,8
* DIS # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 # A7: 2,4 => CTR => A7: 3,8
* DIS # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 # B7: 3 => CTR => B7: 2,4
* DIS # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 + B7: 2,4 # H8: 2,4 => CTR => H8: 8,9
* PRF # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 + B7: 2,4 + H8: 8,9 # G8: 3,8,9 => SOL
* STA # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 + B7: 2,4 + H8: 8,9 + G8: 3,8,9
* CNT   6 HDP CHAINS /  53 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

332754;12_12_03;dob;23;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D7,E9: 6..:

* INC # E9: 6 # A6: 5,7 => UNS
* INC # E9: 6 # A6: 2,3,4,6 => UNS
* INC # E9: 6 # D8: 2,4 => UNS
* INC # E9: 6 # D8: 7 => UNS
* INC # E9: 6 # A7: 2,4 => UNS
* INC # E9: 6 # B7: 2,4 => UNS
* DIS # E9: 6 # G7: 2,4 => CTR => G7: 3,6,8,9
* INC # E9: 6 + G7: 3,6,8,9 # D8: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # D8: 7 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A7: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # B7: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # G8: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # H8: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # B9: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # B9: 3,5 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # H6: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # H6: 6 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 2,3,4,6 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # D8: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # D8: 7 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A7: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # B7: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # G8: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # H8: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # B9: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # B9: 3,5 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # H6: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # H6: 6 => UNS
* INC # E9: 6 + G7: 3,6,8,9 => UNS
* INC # D7: 6 # D2: 1,7 => UNS
* INC # D7: 6 # E2: 1,7 => UNS
* INC # D7: 6 # F3: 1,7 => UNS
* INC # D7: 6 # B3: 1,7 => UNS
* INC # D7: 6 # B3: 2,9 => UNS
* INC # D7: 6 # D4: 1,7 => UNS
* INC # D7: 6 # D4: 2 => UNS
* INC # D7: 6 # E4: 1,2 => UNS
* INC # D7: 6 # E6: 1,2 => UNS
* INC # D7: 6 => UNS
* CNT  40 HDP CHAINS /  40 HYP OPENED

Full list of HDP chains traversed for E9,F9: 1..:

* INC # E9: 1 # D2: 1,7 => UNS
* INC # E9: 1 # F3: 1,7 => UNS
* INC # E9: 1 # B3: 1,7 => UNS
* INC # E9: 1 # B3: 2,9 => UNS
* INC # E9: 1 # D4: 1,7 => UNS
* INC # E9: 1 # D4: 2 => UNS
* INC # E9: 1 # D4: 2,7 => UNS
* INC # E9: 1 # E4: 2,7 => UNS
* INC # E9: 1 # A6: 2,7 => UNS
* INC # E9: 1 # A6: 3,4,5,6 => UNS
* INC # E9: 1 # E8: 2,7 => UNS
* INC # E9: 1 # E8: 9 => UNS
* INC # E9: 1 # F7: 3,4 => UNS
* INC # E9: 1 # F8: 3,4 => UNS
* INC # E9: 1 # B9: 3,4 => UNS
* INC # E9: 1 # B9: 2,5 => UNS
* INC # E9: 1 => UNS
* INC # F9: 1 # A6: 5,7 => UNS
* INC # F9: 1 # A6: 2,3,4,6 => UNS
* INC # F9: 1 # D7: 2,6 => UNS
* INC # F9: 1 # D7: 4 => UNS
* INC # F9: 1 # H9: 2,6 => UNS
* INC # F9: 1 # I9: 2,6 => UNS
* INC # F9: 1 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for D1,F1: 4..:

* INC # D1: 4 # E9: 2,6 => UNS
* INC # D1: 4 # E9: 1 => UNS
* INC # D1: 4 # G7: 2,6 => UNS
* INC # D1: 4 # I7: 2,6 => UNS
* INC # D1: 4 # E8: 2,7 => UNS
* INC # D1: 4 # E8: 9 => UNS
* INC # D1: 4 # D4: 2,7 => UNS
* INC # D1: 4 # D4: 1 => UNS
* INC # D1: 4 => UNS
* INC # F1: 4 # F8: 3,9 => UNS
* INC # F1: 4 # F8: 7 => UNS
* INC # F1: 4 # G7: 3,9 => UNS
* INC # F1: 4 # I7: 3,9 => UNS
* INC # F1: 4 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for G4,G6: 1..:

* INC # G6: 1 # D4: 2,7 => UNS
* INC # G6: 1 # E4: 2,7 => UNS
* INC # G6: 1 # A6: 2,7 => UNS
* INC # G6: 1 # A6: 3,4,5,6 => UNS
* INC # G6: 1 # E8: 2,7 => UNS
* INC # G6: 1 # E8: 9 => UNS
* INC # G6: 1 # A6: 5,7 => UNS
* INC # G6: 1 # A6: 2,3,4,6 => UNS
* INC # G6: 1 => UNS
* INC # G4: 1 # E4: 2,7 => UNS
* INC # G4: 1 # E6: 2,7 => UNS
* INC # G4: 1 # A4: 2,7 => UNS
* INC # G4: 1 # B4: 2,7 => UNS
* INC # G4: 1 # D8: 2,7 => UNS
* INC # G4: 1 # D8: 4 => UNS
* INC # G4: 1 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for D1,D2: 5..:

* INC # D1: 5 # F8: 3,9 => UNS
* INC # D1: 5 # F8: 7 => UNS
* INC # D1: 5 # G7: 3,9 => UNS
* INC # D1: 5 # I7: 3,9 => UNS
* INC # D1: 5 => UNS
* INC # D2: 5 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for E4,F5: 8..:

* DIS # E4: 8 # A6: 2,6 => CTR => A6: 3,4,5,7
* INC # E4: 8 + A6: 3,4,5,7 # C6: 2,6 => UNS
* INC # E4: 8 + A6: 3,4,5,7 # C6: 2,6 => UNS
* INC # E4: 8 + A6: 3,4,5,7 # C6: 3,5 => UNS
* INC # E4: 8 + A6: 3,4,5,7 # G5: 2,6 => UNS
* INC # E4: 8 + A6: 3,4,5,7 # H5: 2,6 => UNS
* INC # E4: 8 + A6: 3,4,5,7 # A1: 2,6 => UNS
* INC # E4: 8 + A6: 3,4,5,7 # A3: 2,6 => UNS
* DIS # E4: 8 + A6: 3,4,5,7 # B4: 2,9 => CTR => B4: 3,4,7
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # C4: 2,9 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # C4: 2,9 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # C4: 3 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # G5: 2,9 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # H5: 2,9 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # B1: 2,9 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # B3: 2,9 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # D4: 1,7 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # E6: 1,7 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # F3: 1,7 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # F3: 8,9 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # C6: 2,6 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # C6: 3,5 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # G5: 2,6 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # H5: 2,6 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # A1: 2,6 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # A3: 2,6 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # C4: 2,9 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # C4: 3 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # G5: 2,9 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # H5: 2,9 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # B1: 2,9 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # B3: 2,9 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # D4: 1,7 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # E6: 1,7 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # F3: 1,7 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 # F3: 8,9 => UNS
* INC # E4: 8 + A6: 3,4,5,7 + B4: 3,4,7 => UNS
* INC # F5: 8 => UNS
* CNT  38 HDP CHAINS /  38 HYP OPENED

Full list of HDP chains traversed for F5,F6: 5..:

* DIS # F5: 5 # A6: 2,6 => CTR => A6: 3,4,5,7
* INC # F5: 5 + A6: 3,4,5,7 # C6: 2,6 => UNS
* INC # F5: 5 + A6: 3,4,5,7 # C6: 2,6 => UNS
* INC # F5: 5 + A6: 3,4,5,7 # C6: 3,5 => UNS
* INC # F5: 5 + A6: 3,4,5,7 # G5: 2,6 => UNS
* INC # F5: 5 + A6: 3,4,5,7 # H5: 2,6 => UNS
* INC # F5: 5 + A6: 3,4,5,7 # A1: 2,6 => UNS
* INC # F5: 5 + A6: 3,4,5,7 # A3: 2,6 => UNS
* DIS # F5: 5 + A6: 3,4,5,7 # B4: 2,9 => CTR => B4: 3,4,7
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # C4: 2,9 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # C4: 2,9 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # C4: 3 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # G5: 2,9 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # H5: 2,9 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # B1: 2,9 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # B3: 2,9 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # D4: 1,7 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # E6: 1,7 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # F3: 1,7 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # F3: 8,9 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # C6: 2,6 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # C6: 3,5 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # G5: 2,6 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # H5: 2,6 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # A1: 2,6 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # A3: 2,6 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # C4: 2,9 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # C4: 3 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # G5: 2,9 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # H5: 2,9 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # B1: 2,9 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # B3: 2,9 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # D4: 1,7 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # E6: 1,7 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # F3: 1,7 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 # F3: 8,9 => UNS
* INC # F5: 5 + A6: 3,4,5,7 + B4: 3,4,7 => UNS
* INC # F6: 5 => UNS
* CNT  38 HDP CHAINS /  38 HYP OPENED

Full list of HDP chains traversed for H1,H3: 7..:

* INC # H3: 7 # D2: 1,6 => UNS
* INC # H3: 7 # E2: 1,6 => UNS
* INC # H3: 7 => UNS
* INC # H1: 7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

Full list of HDP chains traversed for C8,I8: 5..:

* INC # C8: 5 # B7: 2,3 => UNS
* INC # C8: 5 # B9: 2,3 => UNS
* DIS # C8: 5 # C1: 2,3 => CTR => C1: 6,8,9
* INC # C8: 5 + C1: 6,8,9 # C4: 2,3 => UNS
* INC # C8: 5 + C1: 6,8,9 # C6: 2,3 => UNS
* INC # C8: 5 + C1: 6,8,9 # B7: 2,3 => UNS
* INC # C8: 5 + C1: 6,8,9 # B9: 2,3 => UNS
* INC # C8: 5 + C1: 6,8,9 # C4: 2,3 => UNS
* INC # C8: 5 + C1: 6,8,9 # C6: 2,3 => UNS
* INC # C8: 5 + C1: 6,8,9 # B7: 2,3 => UNS
* INC # C8: 5 + C1: 6,8,9 # B9: 2,3 => UNS
* INC # C8: 5 + C1: 6,8,9 # C4: 2,3 => UNS
* INC # C8: 5 + C1: 6,8,9 # C6: 2,3 => UNS
* INC # C8: 5 + C1: 6,8,9 => UNS
* INC # I8: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for I8,I9: 5..:

* INC # I9: 5 # B7: 2,3 => UNS
* INC # I9: 5 # B9: 2,3 => UNS
* DIS # I9: 5 # C1: 2,3 => CTR => C1: 6,8,9
* INC # I9: 5 + C1: 6,8,9 # C4: 2,3 => UNS
* INC # I9: 5 + C1: 6,8,9 # C6: 2,3 => UNS
* INC # I9: 5 + C1: 6,8,9 # B7: 2,3 => UNS
* INC # I9: 5 + C1: 6,8,9 # B9: 2,3 => UNS
* INC # I9: 5 + C1: 6,8,9 # C4: 2,3 => UNS
* INC # I9: 5 + C1: 6,8,9 # C6: 2,3 => UNS
* INC # I9: 5 + C1: 6,8,9 # B7: 2,3 => UNS
* INC # I9: 5 + C1: 6,8,9 # B9: 2,3 => UNS
* INC # I9: 5 + C1: 6,8,9 # C4: 2,3 => UNS
* INC # I9: 5 + C1: 6,8,9 # C6: 2,3 => UNS
* INC # I9: 5 + C1: 6,8,9 => UNS
* INC # I8: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for B2,B3: 1..:

* INC # B3: 1 # D1: 6,7 => UNS
* INC # B3: 1 # E1: 6,7 => UNS
* INC # B3: 1 # D2: 6,7 => UNS
* INC # B3: 1 # E2: 6,7 => UNS
* INC # B3: 1 # A3: 6,7 => UNS
* INC # B3: 1 # H3: 6,7 => UNS
* INC # B3: 1 => UNS
* INC # B2: 1 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for A7,C8: 8..:

* INC # A7: 8 => UNS
* INC # C8: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for D7,E9: 6..:

* INC # E9: 6 # A6: 5,7 => UNS
* INC # E9: 6 # A6: 2,3,4,6 => UNS
* INC # E9: 6 # D8: 2,4 => UNS
* INC # E9: 6 # D8: 7 => UNS
* INC # E9: 6 # A7: 2,4 => UNS
* INC # E9: 6 # B7: 2,4 => UNS
* DIS # E9: 6 # G7: 2,4 => CTR => G7: 3,6,8,9
* INC # E9: 6 + G7: 3,6,8,9 # D8: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # D8: 7 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A7: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # B7: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # G8: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # H8: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # B9: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # B9: 3,5 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # H6: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # H6: 6 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 2,3,4,6 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # D8: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # D8: 7 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A7: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # B7: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # G8: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # H8: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # B9: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # B9: 3,5 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # H6: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # H6: 6 => UNS
* DIS # E9: 6 + G7: 3,6,8,9 # A6: 5,7 # A1: 5,7 => CTR => A1: 2,3,6,8
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 # A2: 5,7 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 # A2: 5,7 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 # A2: 6,8 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 # A2: 5,7 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 # A2: 6,8 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 # D4: 1,2 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 # E4: 1,2 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 # G6: 1,2 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 # G6: 3,4,6 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 # D8: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 # D8: 7 => UNS
* DIS # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 # A7: 2,4 => CTR => A7: 3,8
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 # B7: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 # B7: 2,4 => UNS
* DIS # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 # B7: 3 => CTR => B7: 2,4
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 + B7: 2,4 # D8: 2,4 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 + B7: 2,4 # D8: 7 => UNS
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 + B7: 2,4 # G8: 2,4 => UNS
* DIS # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 + B7: 2,4 # H8: 2,4 => CTR => H8: 8,9
* INC # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 + B7: 2,4 + H8: 8,9 # G8: 2,4 => UNS
* PRF # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 + B7: 2,4 + H8: 8,9 # G8: 3,8,9 => SOL
* STA # E9: 6 + G7: 3,6,8,9 # A6: 5,7 + A1: 2,3,6,8 + A7: 3,8 + B7: 2,4 + H8: 8,9 + G8: 3,8,9
* CNT  51 HDP CHAINS /  53 HYP OPENED