Analysis of xx-ph-00446292-12_12_03-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: ........1.....2.....3.4..5.....6.5.4..57....6.6...3.7...6.7..45.84.3..6.9.....8.. initial

Autosolve

position: ........1.....2.....3.4..5.....6.5.4..57....6.6...3.7...6.7..45.84.3..6.9.....8.. autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.161374

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: 0:00:00.000012

List of important HDP chains detected for I2,I9: 3..:

* DIS # I2: 3 # B9: 2,7 => CTR => B9: 1,3,5
* CNT   1 HDP CHAINS /  43 HYP OPENED

List of important HDP chains detected for D6,E6: 5..:

* DIS # E6: 5 # D1: 8,9 => CTR => D1: 3,5,6
* DIS # E6: 5 + D1: 3,5,6 # F1: 8,9 => CTR => F1: 5,6,7
* DIS # E6: 5 + D1: 3,5,6 + F1: 5,6,7 # D2: 8,9 => CTR => D2: 1,3,5,6
* CNT   3 HDP CHAINS /  31 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: 0:00:48.712214

List of important HDP chains detected for D9,F9: 6..:

* DIS # D9: 6 # E2: 8,9 # A1: 6,7 => CTR => A1: 2,4,5,8
* DIS # D9: 6 # E2: 8,9 + A1: 2,4,5,8 # A5: 1,2 => CTR => A5: 3,4,8
* PRF # D9: 6 # E2: 8,9 + A1: 2,4,5,8 + A5: 3,4,8 # G5: 1,2 => SOL
* STA # D9: 6 # E2: 8,9 + A1: 2,4,5,8 + A5: 3,4,8 + G5: 1,2
* CNT   3 HDP CHAINS /  34 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.....3.4..5.....6.5.4..57....6.6...3.7...6.7..45.84.3..6.9.....8.. initial
........1.....2.....3.4..5.....6.5.4..57....6.6...3.7...6.7..45.84.3..6.9.....8.. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
D9: 4,6
F9: 4,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D1,D2: 3.. / D1 = 3  =>  2 pairs (_) / D2 = 3  =>  4 pairs (_)
I2,I9: 3.. / I2 = 3  =>  4 pairs (_) / I9 = 3  =>  3 pairs (_)
G1,G2: 4.. / G1 = 4  =>  2 pairs (_) / G2 = 4  =>  2 pairs (_)
F5,D6: 4.. / F5 = 4  =>  0 pairs (_) / D6 = 4  =>  6 pairs (_)
D9,F9: 4.. / D9 = 4  =>  0 pairs (_) / F9 = 4  =>  6 pairs (_)
A6,D6: 4.. / A6 = 4  =>  0 pairs (_) / D6 = 4  =>  6 pairs (_)
D6,D9: 4.. / D6 = 4  =>  6 pairs (_) / D9 = 4  =>  0 pairs (_)
F5,F9: 4.. / F5 = 4  =>  0 pairs (_) / F9 = 4  =>  6 pairs (_)
D6,E6: 5.. / D6 = 5  =>  0 pairs (_) / E6 = 5  =>  4 pairs (_)
A8,B9: 5.. / A8 = 5  =>  3 pairs (_) / B9 = 5  =>  3 pairs (_)
B9,E9: 5.. / B9 = 5  =>  3 pairs (_) / E9 = 5  =>  3 pairs (_)
F1,F8: 5.. / F1 = 5  =>  2 pairs (_) / F8 = 5  =>  3 pairs (_)
D9,F9: 6.. / D9 = 6  =>  6 pairs (_) / F9 = 6  =>  0 pairs (_)
F1,F3: 7.. / F1 = 7  =>  3 pairs (_) / F3 = 7  =>  2 pairs (_)
D7,F7: 8.. / D7 = 8  =>  3 pairs (_) / F7 = 8  =>  3 pairs (_)
* DURATION: 0:00:12.138655  START: 04:27:04.849143  END: 04:27:16.987798 2020-12-27
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D9,F9: 6.. / D9 = 6 ==>  6 pairs (_) / F9 = 6 ==>  0 pairs (_)
F5,F9: 4.. / F5 = 4 ==>  0 pairs (_) / F9 = 4 ==>  6 pairs (_)
D6,D9: 4.. / D6 = 4 ==>  6 pairs (_) / D9 = 4 ==>  0 pairs (_)
A6,D6: 4.. / A6 = 4 ==>  0 pairs (_) / D6 = 4 ==>  6 pairs (_)
D9,F9: 4.. / D9 = 4 ==>  0 pairs (_) / F9 = 4 ==>  6 pairs (_)
F5,D6: 4.. / F5 = 4 ==>  0 pairs (_) / D6 = 4 ==>  6 pairs (_)
I2,I9: 3.. / I2 = 3 ==>  4 pairs (_) / I9 = 3 ==>  3 pairs (_)
D1,D2: 3.. / D1 = 3 ==>  2 pairs (_) / D2 = 3 ==>  4 pairs (_)
D6,E6: 5.. / D6 = 5 ==>  0 pairs (_) / E6 = 5 ==>  4 pairs (_)
D7,F7: 8.. / D7 = 8 ==>  3 pairs (_) / F7 = 8 ==>  3 pairs (_)
B9,E9: 5.. / B9 = 5 ==>  3 pairs (_) / E9 = 5 ==>  3 pairs (_)
A8,B9: 5.. / A8 = 5 ==>  3 pairs (_) / B9 = 5 ==>  3 pairs (_)
F1,F3: 7.. / F1 = 7 ==>  3 pairs (_) / F3 = 7 ==>  2 pairs (_)
F1,F8: 5.. / F1 = 5 ==>  2 pairs (_) / F8 = 5 ==>  3 pairs (_)
G1,G2: 4.. / G1 = 4 ==>  2 pairs (_) / G2 = 4 ==>  2 pairs (_)
* DURATION: 0:02:59.759413  START: 04:27:17.724416  END: 04:30:17.483829 2020-12-27
* REASONING I2,I9: 3..
* DIS # I2: 3 # B9: 2,7 => CTR => B9: 1,3,5
* CNT   1 HDP CHAINS /  43 HYP OPENED
* REASONING D6,E6: 5..
* DIS # E6: 5 # D1: 8,9 => CTR => D1: 3,5,6
* DIS # E6: 5 + D1: 3,5,6 # F1: 8,9 => CTR => F1: 5,6,7
* DIS # E6: 5 + D1: 3,5,6 + F1: 5,6,7 # D2: 8,9 => CTR => D2: 1,3,5,6
* CNT   3 HDP CHAINS /  31 HYP OPENED
* DCP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
D9,F9: 6.. / D9 = 6 ==>  0 pairs (*) / F9 = 6  =>  0 pairs (X)
* DURATION: 0:00:48.710523  START: 04:30:17.679851  END: 04:31:06.390374 2020-12-27
* REASONING D9,F9: 6..
* DIS # D9: 6 # E2: 8,9 # A1: 6,7 => CTR => A1: 2,4,5,8
* DIS # D9: 6 # E2: 8,9 + A1: 2,4,5,8 # A5: 1,2 => CTR => A5: 3,4,8
* PRF # D9: 6 # E2: 8,9 + A1: 2,4,5,8 + A5: 3,4,8 # G5: 1,2 => SOL
* STA # D9: 6 # E2: 8,9 + A1: 2,4,5,8 + A5: 3,4,8 + G5: 1,2
* CNT   3 HDP CHAINS /  34 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

446292;12_12_03;dob;24;11.30;11.30;3.40

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D9,F9: 6..:

* INC # D9: 6 # E2: 8,9 => UNS
* INC # D9: 6 # D3: 8,9 => UNS
* INC # D9: 6 # C1: 8,9 => UNS
* INC # D9: 6 # H1: 8,9 => UNS
* INC # D9: 6 # E5: 8,9 => UNS
* INC # D9: 6 # E5: 1,2 => UNS
* INC # D9: 6 # A1: 6,7 => UNS
* INC # D9: 6 # G1: 6,7 => UNS
* INC # D9: 6 # A3: 6,7 => UNS
* INC # D9: 6 # G3: 6,7 => UNS
* INC # D9: 6 # D7: 1,2 => UNS
* INC # D9: 6 # D8: 1,2 => UNS
* INC # D9: 6 # C9: 1,2 => UNS
* INC # D9: 6 # H9: 1,2 => UNS
* INC # D9: 6 # E5: 1,2 => UNS
* INC # D9: 6 # E5: 8,9 => UNS
* INC # D9: 6 => UNS
* INC # F9: 6 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for F5,F9: 4..:

* INC # F9: 4 # E2: 8,9 => UNS
* INC # F9: 4 # D3: 8,9 => UNS
* INC # F9: 4 # C1: 8,9 => UNS
* INC # F9: 4 # H1: 8,9 => UNS
* INC # F9: 4 # E5: 8,9 => UNS
* INC # F9: 4 # E5: 1,2 => UNS
* INC # F9: 4 # A1: 6,7 => UNS
* INC # F9: 4 # G1: 6,7 => UNS
* INC # F9: 4 # A3: 6,7 => UNS
* INC # F9: 4 # G3: 6,7 => UNS
* INC # F9: 4 # D7: 1,2 => UNS
* INC # F9: 4 # D8: 1,2 => UNS
* INC # F9: 4 # C9: 1,2 => UNS
* INC # F9: 4 # H9: 1,2 => UNS
* INC # F9: 4 # E5: 1,2 => UNS
* INC # F9: 4 # E5: 8,9 => UNS
* INC # F9: 4 => UNS
* INC # F5: 4 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for D6,D9: 4..:

* INC # D6: 4 # E2: 8,9 => UNS
* INC # D6: 4 # D3: 8,9 => UNS
* INC # D6: 4 # C1: 8,9 => UNS
* INC # D6: 4 # H1: 8,9 => UNS
* INC # D6: 4 # E5: 8,9 => UNS
* INC # D6: 4 # E5: 1,2 => UNS
* INC # D6: 4 # A1: 6,7 => UNS
* INC # D6: 4 # G1: 6,7 => UNS
* INC # D6: 4 # A3: 6,7 => UNS
* INC # D6: 4 # G3: 6,7 => UNS
* INC # D6: 4 # D7: 1,2 => UNS
* INC # D6: 4 # D8: 1,2 => UNS
* INC # D6: 4 # C9: 1,2 => UNS
* INC # D6: 4 # H9: 1,2 => UNS
* INC # D6: 4 # E5: 1,2 => UNS
* INC # D6: 4 # E5: 8,9 => UNS
* INC # D6: 4 => UNS
* INC # D9: 4 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for A6,D6: 4..:

* INC # D6: 4 # E2: 8,9 => UNS
* INC # D6: 4 # D3: 8,9 => UNS
* INC # D6: 4 # C1: 8,9 => UNS
* INC # D6: 4 # H1: 8,9 => UNS
* INC # D6: 4 # E5: 8,9 => UNS
* INC # D6: 4 # E5: 1,2 => UNS
* INC # D6: 4 # A1: 6,7 => UNS
* INC # D6: 4 # G1: 6,7 => UNS
* INC # D6: 4 # A3: 6,7 => UNS
* INC # D6: 4 # G3: 6,7 => UNS
* INC # D6: 4 # D7: 1,2 => UNS
* INC # D6: 4 # D8: 1,2 => UNS
* INC # D6: 4 # C9: 1,2 => UNS
* INC # D6: 4 # H9: 1,2 => UNS
* INC # D6: 4 # E5: 1,2 => UNS
* INC # D6: 4 # E5: 8,9 => UNS
* INC # D6: 4 => UNS
* INC # A6: 4 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for D9,F9: 4..:

* INC # F9: 4 # E2: 8,9 => UNS
* INC # F9: 4 # D3: 8,9 => UNS
* INC # F9: 4 # C1: 8,9 => UNS
* INC # F9: 4 # H1: 8,9 => UNS
* INC # F9: 4 # E5: 8,9 => UNS
* INC # F9: 4 # E5: 1,2 => UNS
* INC # F9: 4 # A1: 6,7 => UNS
* INC # F9: 4 # G1: 6,7 => UNS
* INC # F9: 4 # A3: 6,7 => UNS
* INC # F9: 4 # G3: 6,7 => UNS
* INC # F9: 4 # D7: 1,2 => UNS
* INC # F9: 4 # D8: 1,2 => UNS
* INC # F9: 4 # C9: 1,2 => UNS
* INC # F9: 4 # H9: 1,2 => UNS
* INC # F9: 4 # E5: 1,2 => UNS
* INC # F9: 4 # E5: 8,9 => UNS
* INC # F9: 4 => UNS
* INC # D9: 4 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for F5,D6: 4..:

* INC # D6: 4 # E2: 8,9 => UNS
* INC # D6: 4 # D3: 8,9 => UNS
* INC # D6: 4 # C1: 8,9 => UNS
* INC # D6: 4 # H1: 8,9 => UNS
* INC # D6: 4 # E5: 8,9 => UNS
* INC # D6: 4 # E5: 1,2 => UNS
* INC # D6: 4 # A1: 6,7 => UNS
* INC # D6: 4 # G1: 6,7 => UNS
* INC # D6: 4 # A3: 6,7 => UNS
* INC # D6: 4 # G3: 6,7 => UNS
* INC # D6: 4 # D7: 1,2 => UNS
* INC # D6: 4 # D8: 1,2 => UNS
* INC # D6: 4 # C9: 1,2 => UNS
* INC # D6: 4 # H9: 1,2 => UNS
* INC # D6: 4 # E5: 1,2 => UNS
* INC # D6: 4 # E5: 8,9 => UNS
* INC # D6: 4 => UNS
* INC # F5: 4 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for I2,I9: 3..:

* INC # I2: 3 # H1: 8,9 => UNS
* INC # I2: 3 # I3: 8,9 => UNS
* INC # I2: 3 # C2: 8,9 => UNS
* INC # I2: 3 # D2: 8,9 => UNS
* INC # I2: 3 # E2: 8,9 => UNS
* INC # I2: 3 # H4: 8,9 => UNS
* INC # I2: 3 # H5: 8,9 => UNS
* INC # I2: 3 # G8: 2,7 => UNS
* INC # I2: 3 # I8: 2,7 => UNS
* DIS # I2: 3 # B9: 2,7 => CTR => B9: 1,3,5
* INC # I2: 3 + B9: 1,3,5 # C9: 2,7 => UNS
* INC # I2: 3 + B9: 1,3,5 # C9: 2,7 => UNS
* INC # I2: 3 + B9: 1,3,5 # C9: 1 => UNS
* INC # I2: 3 + B9: 1,3,5 # I3: 2,7 => UNS
* INC # I2: 3 + B9: 1,3,5 # I3: 8,9 => UNS
* INC # I2: 3 + B9: 1,3,5 # G8: 2,7 => UNS
* INC # I2: 3 + B9: 1,3,5 # I8: 2,7 => UNS
* INC # I2: 3 + B9: 1,3,5 # C9: 2,7 => UNS
* INC # I2: 3 + B9: 1,3,5 # C9: 1 => UNS
* INC # I2: 3 + B9: 1,3,5 # I3: 2,7 => UNS
* INC # I2: 3 + B9: 1,3,5 # I3: 8,9 => UNS
* INC # I2: 3 + B9: 1,3,5 # H1: 8,9 => UNS
* INC # I2: 3 + B9: 1,3,5 # I3: 8,9 => UNS
* INC # I2: 3 + B9: 1,3,5 # C2: 8,9 => UNS
* INC # I2: 3 + B9: 1,3,5 # D2: 8,9 => UNS
* INC # I2: 3 + B9: 1,3,5 # E2: 8,9 => UNS
* INC # I2: 3 + B9: 1,3,5 # H4: 8,9 => UNS
* INC # I2: 3 + B9: 1,3,5 # H5: 8,9 => UNS
* INC # I2: 3 + B9: 1,3,5 # G8: 2,7 => UNS
* INC # I2: 3 + B9: 1,3,5 # I8: 2,7 => UNS
* INC # I2: 3 + B9: 1,3,5 # C9: 2,7 => UNS
* INC # I2: 3 + B9: 1,3,5 # C9: 1 => UNS
* INC # I2: 3 + B9: 1,3,5 # I3: 2,7 => UNS
* INC # I2: 3 + B9: 1,3,5 # I3: 8,9 => UNS
* INC # I2: 3 + B9: 1,3,5 => UNS
* INC # I9: 3 # G7: 1,2 => UNS
* INC # I9: 3 # G8: 1,2 => UNS
* INC # I9: 3 # B9: 1,2 => UNS
* INC # I9: 3 # C9: 1,2 => UNS
* INC # I9: 3 # E9: 1,2 => UNS
* INC # I9: 3 # H4: 1,2 => UNS
* INC # I9: 3 # H5: 1,2 => UNS
* INC # I9: 3 => UNS
* CNT  43 HDP CHAINS /  43 HYP OPENED

Full list of HDP chains traversed for D1,D2: 3..:

* INC # D2: 3 # H1: 8,9 => UNS
* INC # D2: 3 # I2: 8,9 => UNS
* INC # D2: 3 # I3: 8,9 => UNS
* INC # D2: 3 # C2: 8,9 => UNS
* INC # D2: 3 # E2: 8,9 => UNS
* INC # D2: 3 # H4: 8,9 => UNS
* INC # D2: 3 # H5: 8,9 => UNS
* INC # D2: 3 # G7: 1,2 => UNS
* INC # D2: 3 # G8: 1,2 => UNS
* INC # D2: 3 # B9: 1,2 => UNS
* INC # D2: 3 # C9: 1,2 => UNS
* INC # D2: 3 # E9: 1,2 => UNS
* INC # D2: 3 # H4: 1,2 => UNS
* INC # D2: 3 # H5: 1,2 => UNS
* INC # D2: 3 => UNS
* INC # D1: 3 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for D6,E6: 5..:

* DIS # E6: 5 # D1: 8,9 => CTR => D1: 3,5,6
* DIS # E6: 5 + D1: 3,5,6 # F1: 8,9 => CTR => F1: 5,6,7
* DIS # E6: 5 + D1: 3,5,6 + F1: 5,6,7 # D2: 8,9 => CTR => D2: 1,3,5,6
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # E2: 8,9 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # D3: 8,9 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # F3: 8,9 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # C1: 8,9 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # H1: 8,9 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # E5: 8,9 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # E5: 1,2 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # D7: 1,2 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # D8: 1,2 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # C9: 1,2 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # H9: 1,2 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # E5: 1,2 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # E5: 8,9 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # E2: 8,9 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # D3: 8,9 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # F3: 8,9 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # C1: 8,9 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # H1: 8,9 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # E5: 8,9 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # E5: 1,2 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # D7: 1,2 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # D8: 1,2 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # C9: 1,2 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # H9: 1,2 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # E5: 1,2 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 # E5: 8,9 => UNS
* INC # E6: 5 + D1: 3,5,6 + F1: 5,6,7 + D2: 1,3,5,6 => UNS
* INC # D6: 5 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for D7,F7: 8..:

* INC # D7: 8 # D8: 1,9 => UNS
* INC # D7: 8 # F8: 1,9 => UNS
* INC # D7: 8 # G7: 1,9 => UNS
* INC # D7: 8 # G7: 2,3 => UNS
* INC # D7: 8 # F3: 1,9 => UNS
* INC # D7: 8 # F4: 1,9 => UNS
* INC # D7: 8 # F5: 1,9 => UNS
* INC # D7: 8 => UNS
* INC # F7: 8 # D4: 1,9 => UNS
* INC # F7: 8 # E5: 1,9 => UNS
* INC # F7: 8 # F5: 1,9 => UNS
* INC # F7: 8 # D6: 1,9 => UNS
* INC # F7: 8 # E6: 1,9 => UNS
* INC # F7: 8 # B4: 1,9 => UNS
* INC # F7: 8 # C4: 1,9 => UNS
* INC # F7: 8 # H4: 1,9 => UNS
* INC # F7: 8 # F3: 1,9 => UNS
* INC # F7: 8 # F8: 1,9 => UNS
* INC # F7: 8 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for B9,E9: 5..:

* INC # B9: 5 # D7: 1,2 => UNS
* INC # B9: 5 # D8: 1,2 => UNS
* INC # B9: 5 # C9: 1,2 => UNS
* INC # B9: 5 # H9: 1,2 => UNS
* INC # B9: 5 # E5: 1,2 => UNS
* INC # B9: 5 # E6: 1,2 => UNS
* INC # B9: 5 => UNS
* INC # E9: 5 # D1: 8,9 => UNS
* INC # E9: 5 # D2: 8,9 => UNS
* INC # E9: 5 # E2: 8,9 => UNS
* INC # E9: 5 # D3: 8,9 => UNS
* INC # E9: 5 # C1: 8,9 => UNS
* INC # E9: 5 # H1: 8,9 => UNS
* INC # E9: 5 # E5: 8,9 => UNS
* INC # E9: 5 # E6: 8,9 => UNS
* INC # E9: 5 # D7: 1,9 => UNS
* INC # E9: 5 # F7: 1,9 => UNS
* INC # E9: 5 # D8: 1,9 => UNS
* INC # E9: 5 # G8: 1,9 => UNS
* INC # E9: 5 # G8: 2,7 => UNS
* INC # E9: 5 # F4: 1,9 => UNS
* INC # E9: 5 # F4: 8 => UNS
* INC # E9: 5 # G7: 2,3 => UNS
* INC # E9: 5 # H9: 2,3 => UNS
* INC # E9: 5 # B9: 2,3 => UNS
* INC # E9: 5 # B9: 1,7 => UNS
* INC # E9: 5 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for A8,B9: 5..:

* INC # A8: 5 # D1: 8,9 => UNS
* INC # A8: 5 # D2: 8,9 => UNS
* INC # A8: 5 # E2: 8,9 => UNS
* INC # A8: 5 # D3: 8,9 => UNS
* INC # A8: 5 # C1: 8,9 => UNS
* INC # A8: 5 # H1: 8,9 => UNS
* INC # A8: 5 # E5: 8,9 => UNS
* INC # A8: 5 # E6: 8,9 => UNS
* INC # A8: 5 # D7: 1,9 => UNS
* INC # A8: 5 # F7: 1,9 => UNS
* INC # A8: 5 # D8: 1,9 => UNS
* INC # A8: 5 # G8: 1,9 => UNS
* INC # A8: 5 # G8: 2,7 => UNS
* INC # A8: 5 # F4: 1,9 => UNS
* INC # A8: 5 # F4: 8 => UNS
* INC # A8: 5 # G7: 2,3 => UNS
* INC # A8: 5 # H9: 2,3 => UNS
* INC # A8: 5 # B9: 2,3 => UNS
* INC # A8: 5 # B9: 1,7 => UNS
* INC # A8: 5 => UNS
* INC # B9: 5 # D7: 1,2 => UNS
* INC # B9: 5 # D8: 1,2 => UNS
* INC # B9: 5 # C9: 1,2 => UNS
* INC # B9: 5 # H9: 1,2 => UNS
* INC # B9: 5 # E5: 1,2 => UNS
* INC # B9: 5 # E6: 1,2 => UNS
* INC # B9: 5 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for F1,F3: 7..:

* INC # F1: 7 # D7: 1,2 => UNS
* INC # F1: 7 # D8: 1,2 => UNS
* INC # F1: 7 # C9: 1,2 => UNS
* INC # F1: 7 # H9: 1,2 => UNS
* INC # F1: 7 # E5: 1,2 => UNS
* INC # F1: 7 # E6: 1,2 => UNS
* INC # F1: 7 => UNS
* INC # F3: 7 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for F1,F8: 5..:

* INC # F8: 5 # D7: 1,2 => UNS
* INC # F8: 5 # D8: 1,2 => UNS
* INC # F8: 5 # C9: 1,2 => UNS
* INC # F8: 5 # H9: 1,2 => UNS
* INC # F8: 5 # E5: 1,2 => UNS
* INC # F8: 5 # E6: 1,2 => UNS
* INC # F8: 5 => UNS
* INC # F1: 5 # D1: 8,9 => UNS
* INC # F1: 5 # D2: 8,9 => UNS
* INC # F1: 5 # E2: 8,9 => UNS
* INC # F1: 5 # D3: 8,9 => UNS
* INC # F1: 5 # C1: 8,9 => UNS
* INC # F1: 5 # H1: 8,9 => UNS
* INC # F1: 5 # E5: 8,9 => UNS
* INC # F1: 5 # E6: 8,9 => UNS
* INC # F1: 5 # D7: 1,9 => UNS
* INC # F1: 5 # F7: 1,9 => UNS
* INC # F1: 5 # D8: 1,9 => UNS
* INC # F1: 5 # G8: 1,9 => UNS
* INC # F1: 5 # G8: 2,7 => UNS
* INC # F1: 5 # F4: 1,9 => UNS
* INC # F1: 5 # F4: 8 => UNS
* INC # F1: 5 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for G1,G2: 4..:

* INC # G1: 4 => UNS
* INC # G2: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for D9,F9: 6..:

* INC # D9: 6 # E2: 8,9 => UNS
* INC # D9: 6 # D3: 8,9 => UNS
* INC # D9: 6 # C1: 8,9 => UNS
* INC # D9: 6 # H1: 8,9 => UNS
* INC # D9: 6 # E5: 8,9 => UNS
* INC # D9: 6 # E5: 1,2 => UNS
* INC # D9: 6 # A1: 6,7 => UNS
* INC # D9: 6 # G1: 6,7 => UNS
* INC # D9: 6 # A3: 6,7 => UNS
* INC # D9: 6 # G3: 6,7 => UNS
* INC # D9: 6 # D7: 1,2 => UNS
* INC # D9: 6 # D8: 1,2 => UNS
* INC # D9: 6 # C9: 1,2 => UNS
* INC # D9: 6 # H9: 1,2 => UNS
* INC # D9: 6 # E5: 1,2 => UNS
* INC # D9: 6 # E5: 8,9 => UNS
* INC # D9: 6 # E2: 8,9 # C1: 8,9 => UNS
* INC # D9: 6 # E2: 8,9 # H1: 8,9 => UNS
* DIS # D9: 6 # E2: 8,9 # A1: 6,7 => CTR => A1: 2,4,5,8
* INC # D9: 6 # E2: 8,9 + A1: 2,4,5,8 # G1: 6,7 => UNS
* INC # D9: 6 # E2: 8,9 + A1: 2,4,5,8 # G1: 6,7 => UNS
* INC # D9: 6 # E2: 8,9 + A1: 2,4,5,8 # G1: 2,3,4,9 => UNS
* INC # D9: 6 # E2: 8,9 + A1: 2,4,5,8 # G1: 6,7 => UNS
* INC # D9: 6 # E2: 8,9 + A1: 2,4,5,8 # G1: 2,3,4,9 => UNS
* INC # D9: 6 # E2: 8,9 + A1: 2,4,5,8 # C2: 8,9 => UNS
* INC # D9: 6 # E2: 8,9 + A1: 2,4,5,8 # H2: 8,9 => UNS
* INC # D9: 6 # E2: 8,9 + A1: 2,4,5,8 # I2: 8,9 => UNS
* INC # D9: 6 # E2: 8,9 + A1: 2,4,5,8 # A3: 6,7 => UNS
* INC # D9: 6 # E2: 8,9 + A1: 2,4,5,8 # G3: 6,7 => UNS
* DIS # D9: 6 # E2: 8,9 + A1: 2,4,5,8 # A5: 1,2 => CTR => A5: 3,4,8
* INC # D9: 6 # E2: 8,9 + A1: 2,4,5,8 + A5: 3,4,8 # B5: 1,2 => UNS
* PRF # D9: 6 # E2: 8,9 + A1: 2,4,5,8 + A5: 3,4,8 # G5: 1,2 => SOL
* STA # D9: 6 # E2: 8,9 + A1: 2,4,5,8 + A5: 3,4,8 + G5: 1,2
* CNT  32 HDP CHAINS /  34 HYP OPENED