Analysis of xx-ph-00032583-2012_03_13-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..5...4..3...4......3....2..5.1.8..7......7..2..9..1......69...7.....869.. initial

Autosolve

position: 98.7..6..5...4..3...4......3....2..5.1.8..7......7..2..9..17.....69...7.....869.. autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

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

Pair Reduction

Pair Reduction

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

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:32.470699

The following important HDP chains were detected:

* DIS # H4: 6,9 # I6: 6,9 => CTR => I6: 1,3,4,8
* CNT   1 HDP CHAINS /  81 HYP OPENED

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

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

List of important HDP chains detected for A3,A9: 7..:

* DIS # A3: 7 # I6: 1,4 => CTR => I6: 3,6,8,9
* CNT   1 HDP CHAINS /  63 HYP OPENED

List of important HDP chains detected for I2,I3: 7..:

* DIS # I2: 7 # A3: 1,2 => CTR => A3: 6,7
* DIS # I2: 7 + A3: 6,7 # I6: 1,4 => CTR => I6: 3,6,8,9
* CNT   2 HDP CHAINS /  55 HYP OPENED

List of important HDP chains detected for B4,C4: 7..:

* DIS # C4: 7 # I2: 1,2 => CTR => I2: 7,8,9
* DIS # C4: 7 + I2: 7,8,9 # H4: 4,6 => CTR => H4: 1,8,9
* CNT   2 HDP CHAINS /  60 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: 0:00:38.977629

List of important HDP chains detected for A3,A9: 7..:

* DIS # A3: 7 # I6: 1,4 => CTR => I6: 3,6,8,9
* DIS # A3: 7 + I6: 3,6,8,9 # B3: 2,6 # D3: 2,6 => CTR => D3: 1,3,5
* PRF # A3: 7 + I6: 3,6,8,9 # B3: 2,6 + D3: 1,3,5 # E3: 3,5 => SOL
* STA # A3: 7 + I6: 3,6,8,9 # B3: 2,6 + D3: 1,3,5 + E3: 3,5
* CNT   3 HDP CHAINS /  61 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...4..3...4......3....2..5.1.8..7......7..2..9..1......69...7.....869.. initial
98.7..6..5...4..3...4......3....2..5.1.8..7......7..2..9..17.....69...7.....869.. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
E4: 6,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A5,C5: 2.. / A5 = 2  =>  3 pairs (_) / C5 = 2  =>  4 pairs (_)
C1,B3: 3.. / C1 = 3  =>  3 pairs (_) / B3 = 3  =>  2 pairs (_)
H1,I1: 4.. / H1 = 4  =>  4 pairs (_) / I1 = 4  =>  2 pairs (_)
H7,I7: 6.. / H7 = 6  =>  2 pairs (_) / I7 = 6  =>  1 pairs (_)
B2,D2: 6.. / B2 = 6  =>  4 pairs (_) / D2 = 6  =>  3 pairs (_)
I2,I3: 7.. / I2 = 7  =>  4 pairs (_) / I3 = 7  =>  1 pairs (_)
B4,C4: 7.. / B4 = 7  =>  3 pairs (_) / C4 = 7  =>  3 pairs (_)
A3,A9: 7.. / A3 = 7  =>  6 pairs (_) / A9 = 7  =>  1 pairs (_)
F2,F3: 8.. / F2 = 8  =>  2 pairs (_) / F3 = 8  =>  2 pairs (_)
F2,I2: 9.. / F2 = 9  =>  1 pairs (_) / I2 = 9  =>  2 pairs (_)
* DURATION: 0:00:06.095232  START: 17:42:31.503863  END: 17:42:37.599095 2020-12-11
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A3,A9: 7.. / A3 = 7 ==>  6 pairs (_) / A9 = 7 ==>  1 pairs (_)
B2,D2: 6.. / B2 = 6 ==>  4 pairs (_) / D2 = 6 ==>  3 pairs (_)
A5,C5: 2.. / A5 = 2 ==>  3 pairs (_) / C5 = 2 ==>  4 pairs (_)
H1,I1: 4.. / H1 = 4 ==>  4 pairs (_) / I1 = 4 ==>  2 pairs (_)
I2,I3: 7.. / I2 = 7 ==>  5 pairs (_) / I3 = 7 ==>  1 pairs (_)
B4,C4: 7.. / B4 = 7 ==>  3 pairs (_) / C4 = 7 ==>  3 pairs (_)
C1,B3: 3.. / C1 = 3 ==>  3 pairs (_) / B3 = 3 ==>  2 pairs (_)
F2,F3: 8.. / F2 = 8 ==>  2 pairs (_) / F3 = 8 ==>  2 pairs (_)
F2,I2: 9.. / F2 = 9 ==>  1 pairs (_) / I2 = 9 ==>  2 pairs (_)
H7,I7: 6.. / H7 = 6 ==>  2 pairs (_) / I7 = 6 ==>  1 pairs (_)
* DURATION: 0:02:37.485803  START: 17:43:14.599807  END: 17:45:52.085610 2020-12-11
* REASONING A3,A9: 7..
* DIS # A3: 7 # I6: 1,4 => CTR => I6: 3,6,8,9
* CNT   1 HDP CHAINS /  63 HYP OPENED
* REASONING I2,I3: 7..
* DIS # I2: 7 # A3: 1,2 => CTR => A3: 6,7
* DIS # I2: 7 + A3: 6,7 # I6: 1,4 => CTR => I6: 3,6,8,9
* CNT   2 HDP CHAINS /  55 HYP OPENED
* REASONING B4,C4: 7..
* DIS # C4: 7 # I2: 1,2 => CTR => I2: 7,8,9
* DIS # C4: 7 + I2: 7,8,9 # H4: 4,6 => CTR => H4: 1,8,9
* CNT   2 HDP CHAINS /  60 HYP OPENED
* DCP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
A3,A9: 7.. / A3 = 7 ==>  0 pairs (*) / A9 = 7  =>  0 pairs (X)
* DURATION: 0:00:38.976122  START: 17:45:52.204289  END: 17:46:31.180411 2020-12-11
* REASONING A3,A9: 7..
* DIS # A3: 7 # I6: 1,4 => CTR => I6: 3,6,8,9
* DIS # A3: 7 + I6: 3,6,8,9 # B3: 2,6 # D3: 2,6 => CTR => D3: 1,3,5
* PRF # A3: 7 + I6: 3,6,8,9 # B3: 2,6 + D3: 1,3,5 # E3: 3,5 => SOL
* STA # A3: 7 + I6: 3,6,8,9 # B3: 2,6 + D3: 1,3,5 + E3: 3,5
* CNT   3 HDP CHAINS /  61 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

32583;2012_03_13;GP;24;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # E5: 6,9 => UNS
* INC # E5: 3,5 => UNS
* INC # H4: 6,9 => UNS
* INC # H4: 1,4,8 => UNS
* INC # E3: 6,9 => UNS
* INC # E3: 2,3,5 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # E5: 6,9 => UNS
* INC # E5: 3,5 => UNS
* INC # H4: 6,9 => UNS
* INC # H4: 1,4,8 => UNS
* INC # E3: 6,9 => UNS
* INC # E3: 2,3,5 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # E5: 6,9 => UNS
* INC # E5: 3,5 => UNS
* INC # H4: 6,9 => UNS
* INC # H4: 1,4,8 => UNS
* INC # E3: 6,9 => UNS
* INC # E3: 2,3,5 => UNS
* INC # E5: 6,9 # I2: 8,9 => UNS
* INC # E5: 6,9 # I2: 1,2,7 => UNS
* INC # E5: 6,9 # H3: 8,9 => UNS
* INC # E5: 6,9 # I3: 8,9 => UNS
* INC # E5: 6,9 # D6: 1,4 => UNS
* INC # E5: 6,9 # F6: 1,4 => UNS
* INC # E5: 6,9 # G4: 1,4 => UNS
* INC # E5: 6,9 # H4: 1,4 => UNS
* INC # E5: 6,9 # H4: 6,9 => UNS
* INC # E5: 6,9 # H4: 1,4,8 => UNS
* INC # E5: 6,9 # H5: 6,9 => UNS
* INC # E5: 6,9 # I5: 6,9 => UNS
* INC # E5: 6,9 => UNS
* INC # E5: 3,5 # H4: 6,9 => UNS
* INC # E5: 3,5 # H4: 1,4,8 => UNS
* INC # E5: 3,5 # F5: 3,5 => UNS
* INC # E5: 3,5 # D6: 3,5 => UNS
* INC # E5: 3,5 # F6: 3,5 => UNS
* INC # E5: 3,5 # E1: 3,5 => UNS
* INC # E5: 3,5 # E8: 3,5 => UNS
* INC # E5: 3,5 => UNS
* INC # H4: 6,9 # B9: 4,7 => UNS
* INC # H4: 6,9 # B9: 2,3,5 => UNS
* INC # H4: 6,9 # D6: 1,4 => UNS
* INC # H4: 6,9 # F6: 1,4 => UNS
* INC # H4: 6,9 # G4: 1,4 => UNS
* INC # H4: 6,9 # G4: 8 => UNS
* INC # H4: 6,9 # E5: 6,9 => UNS
* INC # H4: 6,9 # E5: 3,5 => UNS
* INC # H4: 6,9 # E3: 6,9 => UNS
* INC # H4: 6,9 # E3: 2,3,5 => UNS
* INC # H4: 6,9 # H5: 6,9 => UNS
* INC # H4: 6,9 # I5: 6,9 => UNS
* DIS # H4: 6,9 # I6: 6,9 => CTR => I6: 1,3,4,8
* INC # H4: 6,9 + I6: 1,3,4,8 # H5: 6,9 => UNS
* INC # H4: 6,9 + I6: 1,3,4,8 # I5: 6,9 => UNS
* INC # H4: 6,9 + I6: 1,3,4,8 # B9: 4,7 => UNS
* INC # H4: 6,9 + I6: 1,3,4,8 # B9: 2,3,5 => UNS
* INC # H4: 6,9 + I6: 1,3,4,8 # D6: 1,4 => UNS
* INC # H4: 6,9 + I6: 1,3,4,8 # F6: 1,4 => UNS
* INC # H4: 6,9 + I6: 1,3,4,8 # G4: 1,4 => UNS
* INC # H4: 6,9 + I6: 1,3,4,8 # G4: 8 => UNS
* INC # H4: 6,9 + I6: 1,3,4,8 # E5: 6,9 => UNS
* INC # H4: 6,9 + I6: 1,3,4,8 # E5: 3,5 => UNS
* INC # H4: 6,9 + I6: 1,3,4,8 # E3: 6,9 => UNS
* INC # H4: 6,9 + I6: 1,3,4,8 # E3: 2,3,5 => UNS
* INC # H4: 6,9 + I6: 1,3,4,8 # H5: 6,9 => UNS
* INC # H4: 6,9 + I6: 1,3,4,8 # I5: 6,9 => UNS
* INC # H4: 6,9 + I6: 1,3,4,8 => UNS
* INC # H4: 1,4,8 # E5: 6,9 => UNS
* INC # H4: 1,4,8 # E5: 3,5 => UNS
* INC # H4: 1,4,8 # E3: 6,9 => UNS
* INC # H4: 1,4,8 # E3: 2,3,5 => UNS
* INC # H4: 1,4,8 => UNS
* INC # E3: 6,9 # H4: 6,9 => UNS
* INC # E3: 6,9 # H4: 1,4,8 => UNS
* INC # E3: 6,9 # F5: 3,5 => UNS
* INC # E3: 6,9 # D6: 3,5 => UNS
* INC # E3: 6,9 # F6: 3,5 => UNS
* INC # E3: 6,9 # E1: 3,5 => UNS
* INC # E3: 6,9 # E8: 3,5 => UNS
* INC # E3: 6,9 => UNS
* INC # E3: 2,3,5 # I2: 8,9 => UNS
* INC # E3: 2,3,5 # I2: 1,2,7 => UNS
* INC # E3: 2,3,5 # H3: 8,9 => UNS
* INC # E3: 2,3,5 # I3: 8,9 => UNS
* INC # E3: 2,3,5 # D6: 1,4 => UNS
* INC # E3: 2,3,5 # F6: 1,4 => UNS
* INC # E3: 2,3,5 # G4: 1,4 => UNS
* INC # E3: 2,3,5 # H4: 1,4 => UNS
* INC # E3: 2,3,5 # H4: 6,9 => UNS
* INC # E3: 2,3,5 # H4: 1,4,8 => UNS
* INC # E3: 2,3,5 # H5: 6,9 => UNS
* INC # E3: 2,3,5 # I5: 6,9 => UNS
* INC # E3: 2,3,5 => UNS
* CNT  81 HDP CHAINS /  81 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A3,A9: 7..:

* INC # A3: 7 # B3: 2,6 => UNS
* INC # A3: 7 # B3: 3 => UNS
* INC # A3: 7 # D2: 2,6 => UNS
* INC # A3: 7 # D2: 1 => UNS
* INC # A3: 7 # C1: 1,2 => UNS
* INC # A3: 7 # C1: 3 => UNS
* INC # A3: 7 # D2: 1,2 => UNS
* INC # A3: 7 # D2: 6 => UNS
* INC # A3: 7 # B9: 4,7 => UNS
* INC # A3: 7 # B9: 2,3,5 => UNS
* INC # A3: 7 # D6: 4,5 => UNS
* INC # A3: 7 # F6: 4,5 => UNS
* INC # A3: 7 # B8: 4,5 => UNS
* INC # A3: 7 # B9: 4,5 => UNS
* INC # A3: 7 # E5: 6,9 => UNS
* INC # A3: 7 # E5: 3,5 => UNS
* INC # A3: 7 # H4: 6,9 => UNS
* INC # A3: 7 # H4: 1,4,8 => UNS
* INC # A3: 7 # H4: 1,4 => UNS
* INC # A3: 7 # G6: 1,4 => UNS
* DIS # A3: 7 # I6: 1,4 => CTR => I6: 3,6,8,9
* INC # A3: 7 + I6: 3,6,8,9 # D4: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D4: 6 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # G8: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # G8: 2,3,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # H4: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # G6: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D4: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D4: 6 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # G8: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # G8: 2,3,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # B3: 2,6 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # B3: 3 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D2: 2,6 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D2: 1 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # C1: 1,2 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # C1: 3 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D2: 1,2 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D2: 6 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # B9: 4,7 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # B9: 2,3,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D6: 4,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # F6: 4,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # B8: 4,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # B9: 4,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # E5: 6,9 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # E5: 3,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # H4: 6,9 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # H4: 1,4,8 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # H4: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # G6: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D4: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D4: 6 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # G8: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # G8: 2,3,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 => UNS
* INC # A9: 7 # E5: 6,9 => UNS
* INC # A9: 7 # E5: 3,5 => UNS
* INC # A9: 7 # H4: 6,9 => UNS
* INC # A9: 7 # H4: 1,4,8 => UNS
* INC # A9: 7 # E3: 6,9 => UNS
* INC # A9: 7 # E3: 2,3,5 => UNS
* INC # A9: 7 => UNS
* CNT  63 HDP CHAINS /  63 HYP OPENED

Full list of HDP chains traversed for B2,D2: 6..:

* INC # B2: 6 # D3: 1,2 => UNS
* INC # B2: 6 # D3: 3,5,6 => UNS
* INC # B2: 6 # C2: 1,2 => UNS
* INC # B2: 6 # G2: 1,2 => UNS
* INC # B2: 6 # I2: 1,2 => UNS
* INC # B2: 6 # B9: 4,7 => UNS
* INC # B2: 6 # B9: 2,3,5 => UNS
* INC # B2: 6 # D6: 4,5 => UNS
* INC # B2: 6 # F6: 4,5 => UNS
* INC # B2: 6 # B8: 4,5 => UNS
* INC # B2: 6 # B9: 4,5 => UNS
* INC # B2: 6 # E5: 6,9 => UNS
* INC # B2: 6 # E5: 3,5 => UNS
* INC # B2: 6 # H4: 6,9 => UNS
* INC # B2: 6 # H4: 1,4,8 => UNS
* INC # B2: 6 # E3: 6,9 => UNS
* INC # B2: 6 # E3: 2,3,5 => UNS
* INC # B2: 6 => UNS
* INC # D2: 6 # C2: 2,7 => UNS
* INC # D2: 6 # A3: 2,7 => UNS
* INC # D2: 6 # B3: 2,7 => UNS
* INC # D2: 6 # I2: 2,7 => UNS
* INC # D2: 6 # I2: 1,8,9 => UNS
* INC # D2: 6 # B9: 2,7 => UNS
* INC # D2: 6 # B9: 3,4,5 => UNS
* INC # D2: 6 # D6: 1,4 => UNS
* INC # D2: 6 # F6: 1,4 => UNS
* INC # D2: 6 # G4: 1,4 => UNS
* INC # D2: 6 # H4: 1,4 => UNS
* INC # D2: 6 # E5: 6,9 => UNS
* INC # D2: 6 # E5: 3,5 => UNS
* INC # D2: 6 # H4: 6,9 => UNS
* INC # D2: 6 # H4: 1,4,8 => UNS
* INC # D2: 6 => UNS
* CNT  34 HDP CHAINS /  34 HYP OPENED

Full list of HDP chains traversed for A5,C5: 2..:

* INC # C5: 2 # F1: 1,3 => UNS
* INC # C5: 2 # F1: 5 => UNS
* INC # C5: 2 # C9: 1,3 => UNS
* INC # C5: 2 # C9: 5,7 => UNS
* INC # C5: 2 # A3: 1,7 => UNS
* INC # C5: 2 # A3: 2,6 => UNS
* INC # C5: 2 # I2: 1,7 => UNS
* INC # C5: 2 # I2: 2,8,9 => UNS
* INC # C5: 2 # C9: 1,7 => UNS
* INC # C5: 2 # C9: 3,5 => UNS
* INC # C5: 2 # B4: 4,6 => UNS
* INC # C5: 2 # A6: 4,6 => UNS
* INC # C5: 2 # B6: 4,6 => UNS
* INC # C5: 2 # H5: 4,6 => UNS
* INC # C5: 2 # I5: 4,6 => UNS
* INC # C5: 2 # E5: 6,9 => UNS
* INC # C5: 2 # E5: 3,5 => UNS
* INC # C5: 2 # H4: 6,9 => UNS
* INC # C5: 2 # H4: 1,4,8 => UNS
* INC # C5: 2 # E3: 6,9 => UNS
* INC # C5: 2 # E3: 2,3,5 => UNS
* INC # C5: 2 => UNS
* INC # A5: 2 # C6: 5,9 => UNS
* INC # A5: 2 # C6: 8 => UNS
* INC # A5: 2 # E5: 5,9 => UNS
* INC # A5: 2 # F5: 5,9 => UNS
* INC # A5: 2 # E5: 6,9 => UNS
* INC # A5: 2 # E5: 3,5 => UNS
* INC # A5: 2 # H4: 6,9 => UNS
* INC # A5: 2 # H4: 1,4,8 => UNS
* INC # A5: 2 # E3: 6,9 => UNS
* INC # A5: 2 # E3: 2,3,5 => UNS
* INC # A5: 2 # A8: 4,8 => UNS
* INC # A5: 2 # A8: 1 => UNS
* INC # A5: 2 # G7: 4,8 => UNS
* INC # A5: 2 # H7: 4,8 => UNS
* INC # A5: 2 # I7: 4,8 => UNS
* INC # A5: 2 # A6: 4,8 => UNS
* INC # A5: 2 # A6: 6 => UNS
* INC # A5: 2 => UNS
* CNT  40 HDP CHAINS /  40 HYP OPENED

Full list of HDP chains traversed for H1,I1: 4..:

* INC # H1: 4 # G2: 1,2 => UNS
* INC # H1: 4 # I2: 1,2 => UNS
* INC # H1: 4 # G3: 1,2 => UNS
* INC # H1: 4 # I3: 1,2 => UNS
* INC # H1: 4 # C1: 1,2 => UNS
* INC # H1: 4 # C1: 3 => UNS
* INC # H1: 4 # I8: 1,2 => UNS
* INC # H1: 4 # I9: 1,2 => UNS
* INC # H1: 4 # E5: 6,9 => UNS
* INC # H1: 4 # E5: 3,5 => UNS
* INC # H1: 4 # H4: 6,9 => UNS
* INC # H1: 4 # H4: 1,8 => UNS
* INC # H1: 4 # E3: 6,9 => UNS
* INC # H1: 4 # E3: 2,3 => UNS
* INC # H1: 4 # H4: 6,9 => UNS
* INC # H1: 4 # I5: 6,9 => UNS
* INC # H1: 4 # I6: 6,9 => UNS
* INC # H1: 4 # E5: 6,9 => UNS
* INC # H1: 4 # E5: 3,5 => UNS
* INC # H1: 4 # G8: 1,5 => UNS
* INC # H1: 4 # G8: 2,3,4,8 => UNS
* INC # H1: 4 # C9: 1,5 => UNS
* INC # H1: 4 # C9: 2,3,7 => UNS
* INC # H1: 4 # H3: 1,5 => UNS
* INC # H1: 4 # H3: 8,9 => UNS
* INC # H1: 4 => UNS
* INC # I1: 4 # G3: 1,5 => UNS
* INC # I1: 4 # H3: 1,5 => UNS
* INC # I1: 4 # F1: 1,5 => UNS
* INC # I1: 4 # F1: 3 => UNS
* INC # I1: 4 # H9: 1,5 => UNS
* INC # I1: 4 # H9: 4 => UNS
* INC # I1: 4 # E5: 6,9 => UNS
* INC # I1: 4 # E5: 3,5 => UNS
* INC # I1: 4 # H4: 6,9 => UNS
* INC # I1: 4 # H4: 1,4,8 => UNS
* INC # I1: 4 # E3: 6,9 => UNS
* INC # I1: 4 # E3: 2,3,5 => UNS
* INC # I1: 4 => UNS
* CNT  39 HDP CHAINS /  39 HYP OPENED

Full list of HDP chains traversed for I2,I3: 7..:

* INC # I2: 7 # A3: 2,6 => UNS
* INC # I2: 7 # B3: 2,6 => UNS
* INC # I2: 7 # D2: 2,6 => UNS
* INC # I2: 7 # D2: 1 => UNS
* INC # I2: 7 # C1: 1,2 => UNS
* DIS # I2: 7 # A3: 1,2 => CTR => A3: 6,7
* INC # I2: 7 + A3: 6,7 # C1: 1,2 => UNS
* INC # I2: 7 + A3: 6,7 # C1: 3 => UNS
* INC # I2: 7 + A3: 6,7 # D2: 1,2 => UNS
* INC # I2: 7 + A3: 6,7 # D2: 6 => UNS
* INC # I2: 7 + A3: 6,7 # E5: 6,9 => UNS
* INC # I2: 7 + A3: 6,7 # E5: 3,5 => UNS
* INC # I2: 7 + A3: 6,7 # H4: 6,9 => UNS
* INC # I2: 7 + A3: 6,7 # H4: 1,4,8 => UNS
* INC # I2: 7 + A3: 6,7 # H4: 1,4 => UNS
* INC # I2: 7 + A3: 6,7 # G6: 1,4 => UNS
* DIS # I2: 7 + A3: 6,7 # I6: 1,4 => CTR => I6: 3,6,8,9
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # D4: 1,4 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # D4: 6 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # G8: 1,4 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # G8: 2,3,5 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # H4: 1,4 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # G6: 1,4 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # D4: 1,4 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # D4: 6 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # G8: 1,4 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # G8: 2,3,5 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # B3: 2,6 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # B3: 3,7 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # D2: 2,6 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # D2: 1 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # C1: 1,2 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # C1: 3 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # D2: 1,2 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # D2: 6 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # B3: 6,7 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # B3: 2,3 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # E5: 6,9 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # E5: 3,5 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # H4: 6,9 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # H4: 1,4,8 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # H4: 1,4 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # G6: 1,4 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # D4: 1,4 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # D4: 6 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # G8: 1,4 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 # G8: 2,3,5 => UNS
* INC # I2: 7 + A3: 6,7 + I6: 3,6,8,9 => UNS
* INC # I3: 7 # E5: 6,9 => UNS
* INC # I3: 7 # E5: 3,5 => UNS
* INC # I3: 7 # H4: 6,9 => UNS
* INC # I3: 7 # H4: 1,4,8 => UNS
* INC # I3: 7 # E3: 6,9 => UNS
* INC # I3: 7 # E3: 2,3,5 => UNS
* INC # I3: 7 => UNS
* CNT  55 HDP CHAINS /  55 HYP OPENED

Full list of HDP chains traversed for B4,C4: 7..:

* INC # B4: 7 # A3: 2,6 => UNS
* INC # B4: 7 # B3: 2,6 => UNS
* INC # B4: 7 # D2: 2,6 => UNS
* INC # B4: 7 # D2: 1 => UNS
* INC # B4: 7 # C6: 8,9 => UNS
* INC # B4: 7 # C6: 5 => UNS
* INC # B4: 7 # H4: 8,9 => UNS
* INC # B4: 7 # H4: 1,4,6 => UNS
* INC # B4: 7 # E5: 6,9 => UNS
* INC # B4: 7 # E5: 3,5 => UNS
* INC # B4: 7 # H4: 6,9 => UNS
* INC # B4: 7 # H4: 1,4,8 => UNS
* INC # B4: 7 # E3: 6,9 => UNS
* INC # B4: 7 # E3: 2,3,5 => UNS
* INC # B4: 7 => UNS
* INC # C4: 7 # C1: 1,2 => UNS
* INC # C4: 7 # A3: 1,2 => UNS
* INC # C4: 7 # D2: 1,2 => UNS
* INC # C4: 7 # G2: 1,2 => UNS
* DIS # C4: 7 # I2: 1,2 => CTR => I2: 7,8,9
* INC # C4: 7 + I2: 7,8,9 # C9: 1,2 => UNS
* INC # C4: 7 + I2: 7,8,9 # C9: 3,5 => UNS
* INC # C4: 7 + I2: 7,8,9 # C1: 1,2 => UNS
* INC # C4: 7 + I2: 7,8,9 # A3: 1,2 => UNS
* INC # C4: 7 + I2: 7,8,9 # D2: 1,2 => UNS
* INC # C4: 7 + I2: 7,8,9 # G2: 1,2 => UNS
* INC # C4: 7 + I2: 7,8,9 # C9: 1,2 => UNS
* INC # C4: 7 + I2: 7,8,9 # C9: 3,5 => UNS
* INC # C4: 7 + I2: 7,8,9 # A5: 4,6 => UNS
* INC # C4: 7 + I2: 7,8,9 # A6: 4,6 => UNS
* INC # C4: 7 + I2: 7,8,9 # B6: 4,6 => UNS
* INC # C4: 7 + I2: 7,8,9 # D4: 4,6 => UNS
* DIS # C4: 7 + I2: 7,8,9 # H4: 4,6 => CTR => H4: 1,8,9
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # D4: 4,6 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # D4: 1 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # A5: 4,6 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # A6: 4,6 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # B6: 4,6 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # D4: 4,6 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # D4: 1 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # E5: 6,9 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # E5: 3,5 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # E3: 6,9 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # E3: 2,3,5 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # C1: 1,2 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # A3: 1,2 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # D2: 1,2 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # G2: 1,2 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # C9: 1,2 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # C9: 3,5 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # A5: 4,6 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # A6: 4,6 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # B6: 4,6 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # D4: 4,6 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # D4: 1 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # E5: 6,9 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # E5: 3,5 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # E3: 6,9 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 # E3: 2,3,5 => UNS
* INC # C4: 7 + I2: 7,8,9 + H4: 1,8,9 => UNS
* CNT  60 HDP CHAINS /  60 HYP OPENED

Full list of HDP chains traversed for C1,B3: 3..:

* INC # C1: 3 # D3: 2,5 => UNS
* INC # C1: 3 # E3: 2,5 => UNS
* INC # C1: 3 # E8: 2,5 => UNS
* INC # C1: 3 # E8: 3 => UNS
* INC # C1: 3 # D3: 1,5 => UNS
* INC # C1: 3 # F3: 1,5 => UNS
* INC # C1: 3 # H1: 1,5 => UNS
* INC # C1: 3 # H1: 4 => UNS
* INC # C1: 3 # F6: 1,5 => UNS
* INC # C1: 3 # F6: 3,4,9 => UNS
* INC # C1: 3 # E5: 6,9 => UNS
* INC # C1: 3 # E5: 3,5 => UNS
* INC # C1: 3 # H4: 6,9 => UNS
* INC # C1: 3 # H4: 1,4,8 => UNS
* INC # C1: 3 # E3: 6,9 => UNS
* INC # C1: 3 # E3: 2,3,5 => UNS
* INC # C1: 3 => UNS
* INC # B3: 3 # C2: 1,2 => UNS
* INC # B3: 3 # A3: 1,2 => UNS
* INC # B3: 3 # I1: 1,2 => UNS
* INC # B3: 3 # I1: 4 => UNS
* INC # B3: 3 # C9: 1,2 => UNS
* INC # B3: 3 # C9: 3,5,7 => UNS
* INC # B3: 3 # E5: 6,9 => UNS
* INC # B3: 3 # E5: 3,5 => UNS
* INC # B3: 3 # H4: 6,9 => UNS
* INC # B3: 3 # H4: 1,4,8 => UNS
* INC # B3: 3 # E3: 6,9 => UNS
* INC # B3: 3 # E3: 2,5 => UNS
* INC # B3: 3 => UNS
* CNT  30 HDP CHAINS /  30 HYP OPENED

Full list of HDP chains traversed for F2,F3: 8..:

* INC # F2: 8 # I1: 1,2 => UNS
* INC # F2: 8 # G3: 1,2 => UNS
* INC # F2: 8 # C2: 1,2 => UNS
* INC # F2: 8 # D2: 1,2 => UNS
* INC # F2: 8 # G8: 1,2 => UNS
* INC # F2: 8 # G8: 3,4,5,8 => UNS
* INC # F2: 8 # E5: 6,9 => UNS
* INC # F2: 8 # E5: 3,5 => UNS
* INC # F2: 8 # H4: 6,9 => UNS
* INC # F2: 8 # H4: 1,4,8 => UNS
* INC # F2: 8 # E3: 6,9 => UNS
* INC # F2: 8 # E3: 2,3,5 => UNS
* INC # F2: 8 => UNS
* INC # F3: 8 # I2: 1,9 => UNS
* INC # F3: 8 # I2: 2,7,8 => UNS
* INC # F3: 8 # F6: 1,9 => UNS
* INC # F3: 8 # F6: 3,4,5 => UNS
* INC # F3: 8 # E5: 6,9 => UNS
* INC # F3: 8 # E5: 3,5 => UNS
* INC # F3: 8 # H4: 6,9 => UNS
* INC # F3: 8 # H4: 1,4,8 => UNS
* INC # F3: 8 # E3: 6,9 => UNS
* INC # F3: 8 # E3: 2,3,5 => UNS
* INC # F3: 8 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for F2,I2: 9..:

* INC # I2: 9 # F3: 1,8 => UNS
* INC # I2: 9 # F3: 3,5,9 => UNS
* INC # I2: 9 # G2: 1,8 => UNS
* INC # I2: 9 # G2: 2 => UNS
* INC # I2: 9 # E5: 6,9 => UNS
* INC # I2: 9 # E5: 3,5 => UNS
* INC # I2: 9 # H4: 6,9 => UNS
* INC # I2: 9 # H4: 1,4,8 => UNS
* INC # I2: 9 # E3: 6,9 => UNS
* INC # I2: 9 # E3: 2,3,5 => UNS
* INC # I2: 9 => UNS
* INC # F2: 9 # E5: 6,9 => UNS
* INC # F2: 9 # E5: 3,5 => UNS
* INC # F2: 9 # H4: 6,9 => UNS
* INC # F2: 9 # H4: 1,4,8 => UNS
* INC # F2: 9 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for H7,I7: 6..:

* INC # H7: 6 # E5: 6,9 => UNS
* INC # H7: 6 # E5: 3,5 => UNS
* INC # H7: 6 # E3: 6,9 => UNS
* INC # H7: 6 # E3: 2,3,5 => UNS
* INC # H7: 6 # H4: 4,9 => UNS
* INC # H7: 6 # I5: 4,9 => UNS
* INC # H7: 6 # I6: 4,9 => UNS
* INC # H7: 6 # F5: 4,9 => UNS
* INC # H7: 6 # F5: 3,5 => UNS
* INC # H7: 6 => UNS
* INC # I7: 6 # E5: 6,9 => UNS
* INC # I7: 6 # E5: 3,5 => UNS
* INC # I7: 6 # H4: 6,9 => UNS
* INC # I7: 6 # H4: 1,4,8 => UNS
* INC # I7: 6 # E3: 6,9 => UNS
* INC # I7: 6 # E3: 2,3,5 => UNS
* INC # I7: 6 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

A5. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for A3,A9: 7..:

* INC # A3: 7 # B3: 2,6 => UNS
* INC # A3: 7 # B3: 3 => UNS
* INC # A3: 7 # D2: 2,6 => UNS
* INC # A3: 7 # D2: 1 => UNS
* INC # A3: 7 # C1: 1,2 => UNS
* INC # A3: 7 # C1: 3 => UNS
* INC # A3: 7 # D2: 1,2 => UNS
* INC # A3: 7 # D2: 6 => UNS
* INC # A3: 7 # B9: 4,7 => UNS
* INC # A3: 7 # B9: 2,3,5 => UNS
* INC # A3: 7 # D6: 4,5 => UNS
* INC # A3: 7 # F6: 4,5 => UNS
* INC # A3: 7 # B8: 4,5 => UNS
* INC # A3: 7 # B9: 4,5 => UNS
* INC # A3: 7 # E5: 6,9 => UNS
* INC # A3: 7 # E5: 3,5 => UNS
* INC # A3: 7 # H4: 6,9 => UNS
* INC # A3: 7 # H4: 1,4,8 => UNS
* INC # A3: 7 # H4: 1,4 => UNS
* INC # A3: 7 # G6: 1,4 => UNS
* DIS # A3: 7 # I6: 1,4 => CTR => I6: 3,6,8,9
* INC # A3: 7 + I6: 3,6,8,9 # D4: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D4: 6 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # G8: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # G8: 2,3,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # H4: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # G6: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D4: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D4: 6 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # G8: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # G8: 2,3,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # B3: 2,6 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # B3: 3 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D2: 2,6 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D2: 1 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # C1: 1,2 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # C1: 3 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D2: 1,2 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D2: 6 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # B9: 4,7 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # B9: 2,3,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D6: 4,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # F6: 4,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # B8: 4,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # B9: 4,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # E5: 6,9 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # E5: 3,5 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # H4: 6,9 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # H4: 1,4,8 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # H4: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # G6: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D4: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # D4: 6 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # G8: 1,4 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # G8: 2,3,5 => UNS
* DIS # A3: 7 + I6: 3,6,8,9 # B3: 2,6 # D3: 2,6 => CTR => D3: 1,3,5
* INC # A3: 7 + I6: 3,6,8,9 # B3: 2,6 + D3: 1,3,5 # E3: 2,6 => UNS
* INC # A3: 7 + I6: 3,6,8,9 # B3: 2,6 + D3: 1,3,5 # E3: 2,6 => UNS
* PRF # A3: 7 + I6: 3,6,8,9 # B3: 2,6 + D3: 1,3,5 # E3: 3,5 => SOL
* STA # A3: 7 + I6: 3,6,8,9 # B3: 2,6 + D3: 1,3,5 + E3: 3,5
* CNT  59 HDP CHAINS /  61 HYP OPENED