Analysis of xx-ph-01001489-13_07-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..7.6.8..5...4......89..7.3.....9..........8..236...79....869...1....3.... initial

Autosolve

position: 98.7..6..7.6.8..5...4......89..7.3.....9..........8.9236...79....869..31..9.3.... 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: 0:00:22.176457

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000017

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

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:50.594095

List of important HDP chains detected for F3,I3: 9..:

* DIS # I3: 9 # C1: 1,2 # H9: 7,8 => CTR => H9: 2,4,6
* PRF # I3: 9 # C1: 1,2 + H9: 2,4,6 # H5: 1,4,6 => SOL
* STA # I3: 9 # C1: 1,2 + H9: 2,4,6 + H5: 1,4,6
* CNT   2 HDP CHAINS /  49 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..7.6.8..5...4......89..7.3.....9..........8..236...79....869...1....3.... initial
98.7..6..7.6.8..5...4......89..7.3.....9..........8.9236...79....869..31..9.3.... autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
I1: 3,4

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F5,D6: 3.. / F5 = 3  =>  1 pairs (_) / D6 = 3  =>  1 pairs (_)
E3,F3: 6.. / E3 = 6  =>  1 pairs (_) / F3 = 6  =>  8 pairs (_)
A5,A6: 6.. / A5 = 6  =>  8 pairs (_) / A6 = 6  =>  1 pairs (_)
H9,I9: 6.. / H9 = 6  =>  2 pairs (_) / I9 = 6  =>  2 pairs (_)
A6,E6: 6.. / A6 = 6  =>  1 pairs (_) / E6 = 6  =>  8 pairs (_)
C5,C6: 7.. / C5 = 7  =>  3 pairs (_) / C6 = 7  =>  1 pairs (_)
B8,B9: 7.. / B8 = 7  =>  1 pairs (_) / B9 = 7  =>  1 pairs (_)
C6,G6: 7.. / C6 = 7  =>  1 pairs (_) / G6 = 7  =>  3 pairs (_)
B8,G8: 7.. / B8 = 7  =>  1 pairs (_) / G8 = 7  =>  1 pairs (_)
D7,D9: 8.. / D7 = 8  =>  3 pairs (_) / D9 = 8  =>  1 pairs (_)
F2,F3: 9.. / F2 = 9  =>  8 pairs (_) / F3 = 9  =>  1 pairs (_)
I2,I3: 9.. / I2 = 9  =>  1 pairs (_) / I3 = 9  =>  8 pairs (_)
F2,I2: 9.. / F2 = 9  =>  8 pairs (_) / I2 = 9  =>  1 pairs (_)
F3,I3: 9.. / F3 = 9  =>  1 pairs (_) / I3 = 9  =>  8 pairs (_)
* DURATION: 0:00:09.708924  START: 10:13:09.494872  END: 10:13:19.203796 2020-09-24
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F3,I3: 9.. / F3 = 9 ==>  1 pairs (_) / I3 = 9 ==>  8 pairs (_)
F2,I2: 9.. / F2 = 9 ==>  8 pairs (_) / I2 = 9 ==>  1 pairs (_)
I2,I3: 9.. / I2 = 9 ==>  1 pairs (_) / I3 = 9 ==>  8 pairs (_)
F2,F3: 9.. / F2 = 9 ==>  8 pairs (_) / F3 = 9 ==>  1 pairs (_)
A6,E6: 6.. / A6 = 6 ==>  1 pairs (_) / E6 = 6 ==>  8 pairs (_)
A5,A6: 6.. / A5 = 6 ==>  8 pairs (_) / A6 = 6 ==>  1 pairs (_)
E3,F3: 6.. / E3 = 6 ==>  1 pairs (_) / F3 = 6 ==>  8 pairs (_)
D7,D9: 8.. / D7 = 8 ==>  3 pairs (_) / D9 = 8 ==>  1 pairs (_)
C6,G6: 7.. / C6 = 7 ==>  1 pairs (_) / G6 = 7 ==>  3 pairs (_)
C5,C6: 7.. / C5 = 7 ==>  3 pairs (_) / C6 = 7 ==>  1 pairs (_)
H9,I9: 6.. / H9 = 6 ==>  2 pairs (_) / I9 = 6 ==>  2 pairs (_)
B8,G8: 7.. / B8 = 7 ==>  1 pairs (_) / G8 = 7 ==>  1 pairs (_)
B8,B9: 7.. / B8 = 7 ==>  1 pairs (_) / B9 = 7 ==>  1 pairs (_)
F5,D6: 3.. / F5 = 3 ==>  1 pairs (_) / D6 = 3 ==>  1 pairs (_)
* DURATION: 0:02:25.065096  START: 10:13:44.858933  END: 10:16:09.924029 2020-09-24
* DCP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
F3,I3: 9.. / F3 = 9  =>  0 pairs (X) / I3 = 9 ==>  0 pairs (*)
* DURATION: 0:00:50.592121  START: 10:16:10.106736  END: 10:17:00.698857 2020-09-24
* REASONING F3,I3: 9..
* DIS # I3: 9 # C1: 1,2 # H9: 7,8 => CTR => H9: 2,4,6
* PRF # I3: 9 # C1: 1,2 + H9: 2,4,6 # H5: 1,4,6 => SOL
* STA # I3: 9 # C1: 1,2 + H9: 2,4,6 + H5: 1,4,6
* CNT   2 HDP CHAINS /  49 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1001489;13_07;GP;25;11.60;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # I2: 3,4 => UNS
* INC # I2: 9 => UNS
* INC # F1: 3,4 => UNS
* INC # F1: 1,2,5 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # I2: 3,4 => UNS
* INC # I2: 9 => UNS
* INC # F1: 3,4 => UNS
* INC # F1: 1,2,5 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # I2: 3,4 => UNS
* INC # I2: 9 => UNS
* INC # F1: 3,4 => UNS
* INC # F1: 1,2,5 => UNS
* INC # I2: 3,4 # C1: 1,2 => UNS
* INC # I2: 3,4 # E1: 1,2 => UNS
* INC # I2: 3,4 # F1: 1,2 => UNS
* INC # I2: 3,4 # F1: 3,4 => UNS
* INC # I2: 3,4 # F1: 1,2,5 => UNS
* INC # I2: 3,4 # B2: 1,2 => UNS
* INC # I2: 3,4 # D2: 1,2 => UNS
* INC # I2: 3,4 # D2: 3,4 => UNS
* INC # I2: 3,4 # D2: 1,2 => UNS
* INC # I2: 3,4 # G5: 7,8 => UNS
* INC # I2: 3,4 # G9: 7,8 => UNS
* INC # I2: 3,4 # H5: 7,8 => UNS
* INC # I2: 3,4 # H9: 7,8 => UNS
* INC # I2: 3,4 # I5: 5,6 => UNS
* INC # I2: 3,4 # I5: 7,8 => UNS
* INC # I2: 3,4 # F4: 5,6 => UNS
* INC # I2: 3,4 # F4: 1,2,4 => UNS
* INC # I2: 3,4 # I9: 5,6 => UNS
* INC # I2: 3,4 # I9: 7,8 => UNS
* INC # I2: 3,4 # G9: 5,8 => UNS
* INC # I2: 3,4 # I9: 5,8 => UNS
* INC # I2: 3,4 # D7: 5,8 => UNS
* INC # I2: 3,4 # D7: 1,2,4 => UNS
* INC # I2: 3,4 # I5: 5,8 => UNS
* INC # I2: 3,4 # I5: 6,7 => UNS
* INC # I2: 3,4 => UNS
* INC # I2: 9 # F1: 3,4 => UNS
* INC # I2: 9 # F1: 1,2,5 => UNS
* INC # I2: 9 => UNS
* INC # F1: 3,4 # D2: 3,4 => UNS
* INC # F1: 3,4 # F2: 3,4 => UNS
* INC # F1: 3,4 # F5: 3,4 => UNS
* INC # F1: 3,4 # F5: 1,2,5,6 => UNS
* INC # F1: 3,4 # G2: 1,2 => UNS
* INC # F1: 3,4 # G3: 1,2 => UNS
* INC # F1: 3,4 # H3: 1,2 => UNS
* INC # F1: 3,4 # C1: 1,2 => UNS
* INC # F1: 3,4 # E1: 1,2 => UNS
* INC # F1: 3,4 # I2: 3,4 => UNS
* INC # F1: 3,4 # I2: 9 => UNS
* INC # F1: 3,4 => UNS
* INC # F1: 1,2,5 # I2: 3,4 => UNS
* INC # F1: 1,2,5 # I2: 9 => UNS
* INC # F1: 1,2,5 => UNS
* CNT  48 HDP CHAINS /  48 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F3,I3: 9..:

* INC # I3: 9 # C1: 1,2 => UNS
* INC # I3: 9 # E1: 1,2 => UNS
* INC # I3: 9 # F1: 1,2 => UNS
* INC # I3: 9 # F1: 3,4 => UNS
* INC # I3: 9 # F1: 1,2,5 => UNS
* INC # I3: 9 # B2: 1,2 => UNS
* INC # I3: 9 # D2: 1,2 => UNS
* INC # I3: 9 # D2: 3,4 => UNS
* INC # I3: 9 # D2: 1,2 => UNS
* INC # I3: 9 # G5: 7,8 => UNS
* INC # I3: 9 # G9: 7,8 => UNS
* INC # I3: 9 # H5: 7,8 => UNS
* INC # I3: 9 # H9: 7,8 => UNS
* INC # I3: 9 # I5: 5,6 => UNS
* INC # I3: 9 # I5: 7,8 => UNS
* INC # I3: 9 # F4: 5,6 => UNS
* INC # I3: 9 # F4: 1,2,4 => UNS
* INC # I3: 9 # I9: 5,6 => UNS
* INC # I3: 9 # I9: 7,8 => UNS
* INC # I3: 9 # G9: 5,8 => UNS
* INC # I3: 9 # I9: 5,8 => UNS
* INC # I3: 9 # D7: 5,8 => UNS
* INC # I3: 9 # D7: 1,2,4 => UNS
* INC # I3: 9 # I5: 5,8 => UNS
* INC # I3: 9 # I5: 6,7 => UNS
* INC # I3: 9 => UNS
* INC # F3: 9 # F1: 3,4 => UNS
* INC # F3: 9 # F1: 1,2,5 => UNS
* INC # F3: 9 => UNS
* CNT  29 HDP CHAINS /  29 HYP OPENED

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

* INC # F2: 9 # C1: 1,2 => UNS
* INC # F2: 9 # E1: 1,2 => UNS
* INC # F2: 9 # F1: 1,2 => UNS
* INC # F2: 9 # F1: 3,4 => UNS
* INC # F2: 9 # F1: 1,2,5 => UNS
* INC # F2: 9 # B2: 1,2 => UNS
* INC # F2: 9 # D2: 1,2 => UNS
* INC # F2: 9 # D2: 3,4 => UNS
* INC # F2: 9 # D2: 1,2 => UNS
* INC # F2: 9 # G5: 7,8 => UNS
* INC # F2: 9 # G9: 7,8 => UNS
* INC # F2: 9 # H5: 7,8 => UNS
* INC # F2: 9 # H9: 7,8 => UNS
* INC # F2: 9 # I5: 5,6 => UNS
* INC # F2: 9 # I5: 7,8 => UNS
* INC # F2: 9 # F4: 5,6 => UNS
* INC # F2: 9 # F4: 1,2,4 => UNS
* INC # F2: 9 # I9: 5,6 => UNS
* INC # F2: 9 # I9: 7,8 => UNS
* INC # F2: 9 # G9: 5,8 => UNS
* INC # F2: 9 # I9: 5,8 => UNS
* INC # F2: 9 # D7: 5,8 => UNS
* INC # F2: 9 # D7: 1,2,4 => UNS
* INC # F2: 9 # I5: 5,8 => UNS
* INC # F2: 9 # I5: 6,7 => UNS
* INC # F2: 9 => UNS
* INC # I2: 9 # F1: 3,4 => UNS
* INC # I2: 9 # F1: 1,2,5 => UNS
* INC # I2: 9 => UNS
* CNT  29 HDP CHAINS /  29 HYP OPENED

Full list of HDP chains traversed for I2,I3: 9..:

* INC # I3: 9 # C1: 1,2 => UNS
* INC # I3: 9 # E1: 1,2 => UNS
* INC # I3: 9 # F1: 1,2 => UNS
* INC # I3: 9 # F1: 3,4 => UNS
* INC # I3: 9 # F1: 1,2,5 => UNS
* INC # I3: 9 # B2: 1,2 => UNS
* INC # I3: 9 # D2: 1,2 => UNS
* INC # I3: 9 # D2: 3,4 => UNS
* INC # I3: 9 # D2: 1,2 => UNS
* INC # I3: 9 # G5: 7,8 => UNS
* INC # I3: 9 # G9: 7,8 => UNS
* INC # I3: 9 # H5: 7,8 => UNS
* INC # I3: 9 # H9: 7,8 => UNS
* INC # I3: 9 # I5: 5,6 => UNS
* INC # I3: 9 # I5: 7,8 => UNS
* INC # I3: 9 # F4: 5,6 => UNS
* INC # I3: 9 # F4: 1,2,4 => UNS
* INC # I3: 9 # I9: 5,6 => UNS
* INC # I3: 9 # I9: 7,8 => UNS
* INC # I3: 9 # G9: 5,8 => UNS
* INC # I3: 9 # I9: 5,8 => UNS
* INC # I3: 9 # D7: 5,8 => UNS
* INC # I3: 9 # D7: 1,2,4 => UNS
* INC # I3: 9 # I5: 5,8 => UNS
* INC # I3: 9 # I5: 6,7 => UNS
* INC # I3: 9 => UNS
* INC # I2: 9 # F1: 3,4 => UNS
* INC # I2: 9 # F1: 1,2,5 => UNS
* INC # I2: 9 => UNS
* CNT  29 HDP CHAINS /  29 HYP OPENED

Full list of HDP chains traversed for F2,F3: 9..:

* INC # F2: 9 # C1: 1,2 => UNS
* INC # F2: 9 # E1: 1,2 => UNS
* INC # F2: 9 # F1: 1,2 => UNS
* INC # F2: 9 # F1: 3,4 => UNS
* INC # F2: 9 # F1: 1,2,5 => UNS
* INC # F2: 9 # B2: 1,2 => UNS
* INC # F2: 9 # D2: 1,2 => UNS
* INC # F2: 9 # D2: 3,4 => UNS
* INC # F2: 9 # D2: 1,2 => UNS
* INC # F2: 9 # G5: 7,8 => UNS
* INC # F2: 9 # G9: 7,8 => UNS
* INC # F2: 9 # H5: 7,8 => UNS
* INC # F2: 9 # H9: 7,8 => UNS
* INC # F2: 9 # I5: 5,6 => UNS
* INC # F2: 9 # I5: 7,8 => UNS
* INC # F2: 9 # F4: 5,6 => UNS
* INC # F2: 9 # F4: 1,2,4 => UNS
* INC # F2: 9 # I9: 5,6 => UNS
* INC # F2: 9 # I9: 7,8 => UNS
* INC # F2: 9 # G9: 5,8 => UNS
* INC # F2: 9 # I9: 5,8 => UNS
* INC # F2: 9 # D7: 5,8 => UNS
* INC # F2: 9 # D7: 1,2,4 => UNS
* INC # F2: 9 # I5: 5,8 => UNS
* INC # F2: 9 # I5: 6,7 => UNS
* INC # F2: 9 => UNS
* INC # F3: 9 # F1: 3,4 => UNS
* INC # F3: 9 # F1: 1,2,5 => UNS
* INC # F3: 9 => UNS
* CNT  29 HDP CHAINS /  29 HYP OPENED

Full list of HDP chains traversed for A6,E6: 6..:

* INC # E6: 6 # C1: 1,2 => UNS
* INC # E6: 6 # E1: 1,2 => UNS
* INC # E6: 6 # F1: 1,2 => UNS
* INC # E6: 6 # F1: 3,4 => UNS
* INC # E6: 6 # F1: 1,2,5 => UNS
* INC # E6: 6 # B2: 1,2 => UNS
* INC # E6: 6 # D2: 1,2 => UNS
* INC # E6: 6 # D2: 3,4 => UNS
* INC # E6: 6 # D2: 1,2 => UNS
* INC # E6: 6 # G5: 7,8 => UNS
* INC # E6: 6 # G9: 7,8 => UNS
* INC # E6: 6 # H5: 7,8 => UNS
* INC # E6: 6 # H9: 7,8 => UNS
* INC # E6: 6 # I9: 5,6 => UNS
* INC # E6: 6 # I9: 7,8 => UNS
* INC # E6: 6 # G9: 5,8 => UNS
* INC # E6: 6 # I9: 5,8 => UNS
* INC # E6: 6 # D7: 5,8 => UNS
* INC # E6: 6 # D7: 1,2,4 => UNS
* INC # E6: 6 # I5: 5,8 => UNS
* INC # E6: 6 # I5: 7 => UNS
* INC # E6: 6 => UNS
* INC # A6: 6 # I2: 3,4 => UNS
* INC # A6: 6 # I2: 9 => UNS
* INC # A6: 6 # F1: 3,4 => UNS
* INC # A6: 6 # F1: 1,2,5 => UNS
* INC # A6: 6 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for A5,A6: 6..:

* INC # A5: 6 # C1: 1,2 => UNS
* INC # A5: 6 # E1: 1,2 => UNS
* INC # A5: 6 # F1: 1,2 => UNS
* INC # A5: 6 # F1: 3,4 => UNS
* INC # A5: 6 # F1: 1,2,5 => UNS
* INC # A5: 6 # B2: 1,2 => UNS
* INC # A5: 6 # D2: 1,2 => UNS
* INC # A5: 6 # D2: 3,4 => UNS
* INC # A5: 6 # D2: 1,2 => UNS
* INC # A5: 6 # G5: 7,8 => UNS
* INC # A5: 6 # G9: 7,8 => UNS
* INC # A5: 6 # H5: 7,8 => UNS
* INC # A5: 6 # H9: 7,8 => UNS
* INC # A5: 6 # I9: 5,6 => UNS
* INC # A5: 6 # I9: 7,8 => UNS
* INC # A5: 6 # G9: 5,8 => UNS
* INC # A5: 6 # I9: 5,8 => UNS
* INC # A5: 6 # D7: 5,8 => UNS
* INC # A5: 6 # D7: 1,2,4 => UNS
* INC # A5: 6 # I5: 5,8 => UNS
* INC # A5: 6 # I5: 7 => UNS
* INC # A5: 6 => UNS
* INC # A6: 6 # I2: 3,4 => UNS
* INC # A6: 6 # I2: 9 => UNS
* INC # A6: 6 # F1: 3,4 => UNS
* INC # A6: 6 # F1: 1,2,5 => UNS
* INC # A6: 6 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for E3,F3: 6..:

* INC # F3: 6 # C1: 1,2 => UNS
* INC # F3: 6 # E1: 1,2 => UNS
* INC # F3: 6 # F1: 1,2 => UNS
* INC # F3: 6 # F1: 3,4 => UNS
* INC # F3: 6 # F1: 1,2,5 => UNS
* INC # F3: 6 # B2: 1,2 => UNS
* INC # F3: 6 # D2: 1,2 => UNS
* INC # F3: 6 # D2: 3,4 => UNS
* INC # F3: 6 # D2: 1,2 => UNS
* INC # F3: 6 # G5: 7,8 => UNS
* INC # F3: 6 # G9: 7,8 => UNS
* INC # F3: 6 # H5: 7,8 => UNS
* INC # F3: 6 # H9: 7,8 => UNS
* INC # F3: 6 # I9: 5,6 => UNS
* INC # F3: 6 # I9: 7,8 => UNS
* INC # F3: 6 # G9: 5,8 => UNS
* INC # F3: 6 # I9: 5,8 => UNS
* INC # F3: 6 # D7: 5,8 => UNS
* INC # F3: 6 # D7: 1,2,4 => UNS
* INC # F3: 6 # I5: 5,8 => UNS
* INC # F3: 6 # I5: 7 => UNS
* INC # F3: 6 => UNS
* INC # E3: 6 # I2: 3,4 => UNS
* INC # E3: 6 # I2: 9 => UNS
* INC # E3: 6 # F1: 3,4 => UNS
* INC # E3: 6 # F1: 1,2,5 => UNS
* INC # E3: 6 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for D7,D9: 8..:

* INC # D7: 8 # I2: 3,4 => UNS
* INC # D7: 8 # I2: 9 => UNS
* INC # D7: 8 # F1: 3,4 => UNS
* INC # D7: 8 # F1: 1,2,5 => UNS
* INC # D7: 8 # G8: 2,4 => UNS
* INC # D7: 8 # G9: 2,4 => UNS
* INC # D7: 8 # H9: 2,4 => UNS
* INC # D7: 8 # E7: 2,4 => UNS
* INC # D7: 8 # E7: 1,5 => UNS
* INC # D7: 8 # H1: 2,4 => UNS
* INC # D7: 8 # H1: 1 => UNS
* INC # D7: 8 # G8: 4,5 => UNS
* INC # D7: 8 # G9: 4,5 => UNS
* INC # D7: 8 # I9: 4,5 => UNS
* INC # D7: 8 # E7: 4,5 => UNS
* INC # D7: 8 # E7: 1,2 => UNS
* INC # D7: 8 # I4: 4,5 => UNS
* INC # D7: 8 # I5: 4,5 => UNS
* INC # D7: 8 => UNS
* INC # D9: 8 # I2: 3,4 => UNS
* INC # D9: 8 # I2: 9 => UNS
* INC # D9: 8 # F1: 3,4 => UNS
* INC # D9: 8 # F1: 1,2,5 => UNS
* INC # D9: 8 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for C6,G6: 7..:

* INC # G6: 7 # I2: 3,4 => UNS
* INC # G6: 7 # I2: 9 => UNS
* INC # G6: 7 # F1: 3,4 => UNS
* INC # G6: 7 # F1: 1,2,5 => UNS
* INC # G6: 7 => UNS
* INC # C6: 7 # I2: 3,4 => UNS
* INC # C6: 7 # I2: 9 => UNS
* INC # C6: 7 # F1: 3,4 => UNS
* INC # C6: 7 # F1: 1,2,5 => UNS
* INC # C6: 7 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for C5,C6: 7..:

* INC # C5: 7 # I2: 3,4 => UNS
* INC # C5: 7 # I2: 9 => UNS
* INC # C5: 7 # F1: 3,4 => UNS
* INC # C5: 7 # F1: 1,2,5 => UNS
* INC # C5: 7 => UNS
* INC # C6: 7 # I2: 3,4 => UNS
* INC # C6: 7 # I2: 9 => UNS
* INC # C6: 7 # F1: 3,4 => UNS
* INC # C6: 7 # F1: 1,2,5 => UNS
* INC # C6: 7 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for H9,I9: 6..:

* INC # H9: 6 # I2: 3,4 => UNS
* INC # H9: 6 # I2: 9 => UNS
* INC # H9: 6 # F1: 3,4 => UNS
* INC # H9: 6 # F1: 1,2,5 => UNS
* INC # H9: 6 # G5: 1,4 => UNS
* INC # H9: 6 # H5: 1,4 => UNS
* INC # H9: 6 # G6: 1,4 => UNS
* INC # H9: 6 # D4: 1,4 => UNS
* INC # H9: 6 # F4: 1,4 => UNS
* INC # H9: 6 # H1: 1,4 => UNS
* INC # H9: 6 # H1: 2 => UNS
* INC # H9: 6 => UNS
* INC # I9: 6 # I2: 3,4 => UNS
* INC # I9: 6 # I2: 9 => UNS
* INC # I9: 6 # F1: 3,4 => UNS
* INC # I9: 6 # F1: 1,2,5 => UNS
* INC # I9: 6 # G5: 4,5 => UNS
* INC # I9: 6 # I5: 4,5 => UNS
* INC # I9: 6 # G6: 4,5 => UNS
* INC # I9: 6 # D4: 4,5 => UNS
* INC # I9: 6 # F4: 4,5 => UNS
* INC # I9: 6 # I7: 4,5 => UNS
* INC # I9: 6 # I7: 8 => UNS
* INC # I9: 6 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for B8,G8: 7..:

* INC # B8: 7 # I2: 3,4 => UNS
* INC # B8: 7 # I2: 9 => UNS
* INC # B8: 7 # F1: 3,4 => UNS
* INC # B8: 7 # F1: 1,2,5 => UNS
* INC # B8: 7 => UNS
* INC # G8: 7 # I2: 3,4 => UNS
* INC # G8: 7 # I2: 9 => UNS
* INC # G8: 7 # F1: 3,4 => UNS
* INC # G8: 7 # F1: 1,2,5 => UNS
* INC # G8: 7 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for B8,B9: 7..:

* INC # B8: 7 # I2: 3,4 => UNS
* INC # B8: 7 # I2: 9 => UNS
* INC # B8: 7 # F1: 3,4 => UNS
* INC # B8: 7 # F1: 1,2,5 => UNS
* INC # B8: 7 => UNS
* INC # B9: 7 # I2: 3,4 => UNS
* INC # B9: 7 # I2: 9 => UNS
* INC # B9: 7 # F1: 3,4 => UNS
* INC # B9: 7 # F1: 1,2,5 => UNS
* INC # B9: 7 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for F5,D6: 3..:

* INC # F5: 3 # I2: 3,4 => UNS
* INC # F5: 3 # I2: 9 => UNS
* INC # F5: 3 => UNS
* INC # D6: 3 # I2: 3,4 => UNS
* INC # D6: 3 # I2: 9 => UNS
* INC # D6: 3 # F1: 3,4 => UNS
* INC # D6: 3 # F1: 1,2,5 => UNS
* INC # D6: 3 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A5. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for F3,I3: 9..:

* INC # I3: 9 # C1: 1,2 => UNS
* INC # I3: 9 # E1: 1,2 => UNS
* INC # I3: 9 # F1: 1,2 => UNS
* INC # I3: 9 # F1: 3,4 => UNS
* INC # I3: 9 # F1: 1,2,5 => UNS
* INC # I3: 9 # B2: 1,2 => UNS
* INC # I3: 9 # D2: 1,2 => UNS
* INC # I3: 9 # D2: 3,4 => UNS
* INC # I3: 9 # D2: 1,2 => UNS
* INC # I3: 9 # G5: 7,8 => UNS
* INC # I3: 9 # G9: 7,8 => UNS
* INC # I3: 9 # H5: 7,8 => UNS
* INC # I3: 9 # H9: 7,8 => UNS
* INC # I3: 9 # I5: 5,6 => UNS
* INC # I3: 9 # I5: 7,8 => UNS
* INC # I3: 9 # F4: 5,6 => UNS
* INC # I3: 9 # F4: 1,2,4 => UNS
* INC # I3: 9 # I9: 5,6 => UNS
* INC # I3: 9 # I9: 7,8 => UNS
* INC # I3: 9 # G9: 5,8 => UNS
* INC # I3: 9 # I9: 5,8 => UNS
* INC # I3: 9 # D7: 5,8 => UNS
* INC # I3: 9 # D7: 1,2,4 => UNS
* INC # I3: 9 # I5: 5,8 => UNS
* INC # I3: 9 # I5: 6,7 => UNS
* INC # I3: 9 # C1: 1,2 # B2: 1,2 => UNS
* INC # I3: 9 # C1: 1,2 # A3: 1,2 => UNS
* INC # I3: 9 # C1: 1,2 # B3: 1,2 => UNS
* INC # I3: 9 # C1: 1,2 # C4: 1,2 => UNS
* INC # I3: 9 # C1: 1,2 # C7: 1,2 => UNS
* INC # I3: 9 # C1: 1,2 # F1: 4,5 => UNS
* INC # I3: 9 # C1: 1,2 # F1: 3 => UNS
* INC # I3: 9 # C1: 1,2 # E5: 4,5 => UNS
* INC # I3: 9 # C1: 1,2 # E6: 4,5 => UNS
* INC # I3: 9 # C1: 1,2 # E7: 4,5 => UNS
* INC # I3: 9 # C1: 1,2 # F1: 3,4 => UNS
* INC # I3: 9 # C1: 1,2 # F1: 5 => UNS
* INC # I3: 9 # C1: 1,2 # B2: 1,2 => UNS
* INC # I3: 9 # C1: 1,2 # D2: 1,2 => UNS
* INC # I3: 9 # C1: 1,2 # D2: 3,4 => UNS
* INC # I3: 9 # C1: 1,2 # D2: 1,2 => UNS
* INC # I3: 9 # C1: 1,2 # G5: 7,8 => UNS
* INC # I3: 9 # C1: 1,2 # G9: 7,8 => UNS
* INC # I3: 9 # C1: 1,2 # H5: 7,8 => UNS
* DIS # I3: 9 # C1: 1,2 # H9: 7,8 => CTR => H9: 2,4,6
* INC # I3: 9 # C1: 1,2 + H9: 2,4,6 # H5: 7,8 => UNS
* PRF # I3: 9 # C1: 1,2 + H9: 2,4,6 # H5: 1,4,6 => SOL
* STA # I3: 9 # C1: 1,2 + H9: 2,4,6 + H5: 1,4,6
* CNT  47 HDP CHAINS /  49 HYP OPENED