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

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
Details
Appendix: Full HDP Chains

Original Sudoku

level: very deep

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

Pair Reduction Variants

Pair Reduction Analysis

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

Pair Reduction

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

Deep Pair Reduction

Time used: 0:00:22.176457

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

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

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