Analysis of xx-ph-00845837-13_02-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..75..6......6..9...4....7....7.6...3...8.9.7....5...8.....2.1..7....5.91. initial

Autosolve

position: 98.7..6..75..6......6..9.7.4....7....7.6...3...8.9.7....597.8.....2.1..7..7.5.91. 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: 0:00:12.991006

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: 0:00:00.000016

List of important HDP chains detected for A5,A6: 5..:

* DIS # A6: 5 # B4: 1,2 => CTR => B4: 3,6,9
* CNT   1 HDP CHAINS /  31 HYP OPENED

List of important HDP chains detected for B4,B8: 9..:

* DIS # B4: 9 # A5: 1,2 => CTR => A5: 5
* CNT   1 HDP CHAINS /  34 HYP OPENED

List of important HDP chains detected for B8,C8: 9..:

* DIS # C8: 9 # A5: 1,2 => CTR => A5: 5
* CNT   1 HDP CHAINS /  34 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: 0:00:54.507294

List of important HDP chains detected for G8,H8: 5..:

* DIS # G8: 5 # I2: 1,2,4 # E5: 1,2 => CTR => E5: 4,8
* DIS # G8: 5 # I2: 1,2,4 + E5: 4,8 # G5: 1,2 => CTR => G5: 4
* PRF # G8: 5 # I2: 1,2,4 + E5: 4,8 + G5: 4 # F2: 2,3 => SOL
* STA # G8: 5 # I2: 1,2,4 + E5: 4,8 + G5: 4 + F2: 2,3
* CNT   3 HDP CHAINS /  55 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..75..6......6..9...4....7....7.6...3...8.9.7....5...8.....2.1..7....5.91. initial
98.7..6..75..6......6..9.7.4....7....7.6...3...8.9.7....597.8.....2.1..7..7.5.91. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
H2: 8,9
H4: 8,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A7,B7: 1.. / A7 = 1  =>  4 pairs (_) / B7 = 1  =>  2 pairs (_)
F1,D3: 5.. / F1 = 5  =>  3 pairs (_) / D3 = 5  =>  2 pairs (_)
A5,A6: 5.. / A5 = 5  =>  2 pairs (_) / A6 = 5  =>  3 pairs (_)
G8,H8: 5.. / G8 = 5  =>  4 pairs (_) / H8 = 5  =>  4 pairs (_)
F7,F9: 6.. / F7 = 6  =>  3 pairs (_) / F9 = 6  =>  3 pairs (_)
B4,I4: 6.. / B4 = 6  =>  3 pairs (_) / I4 = 6  =>  3 pairs (_)
A8,A9: 8.. / A8 = 8  =>  3 pairs (_) / A9 = 8  =>  4 pairs (_)
A8,E8: 8.. / A8 = 8  =>  3 pairs (_) / E8 = 8  =>  4 pairs (_)
H2,H4: 8.. / H2 = 8  =>  1 pairs (_) / H4 = 8  =>  0 pairs (_)
H2,I2: 9.. / H2 = 9  =>  0 pairs (_) / I2 = 9  =>  1 pairs (_)
B8,C8: 9.. / B8 = 9  =>  3 pairs (_) / C8 = 9  =>  1 pairs (_)
C5,I5: 9.. / C5 = 9  =>  3 pairs (_) / I5 = 9  =>  1 pairs (_)
B4,B8: 9.. / B4 = 9  =>  1 pairs (_) / B8 = 9  =>  3 pairs (_)
H2,H4: 9.. / H2 = 9  =>  0 pairs (_) / H4 = 9  =>  1 pairs (_)
* DURATION: 0:00:10.602813  START: 20:14:42.318047  END: 20:14:52.920860 2021-01-01
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G8,H8: 5.. / G8 = 5 ==>  4 pairs (_) / H8 = 5 ==>  4 pairs (_)
A8,E8: 8.. / A8 = 8 ==>  3 pairs (_) / E8 = 8 ==>  4 pairs (_)
A8,A9: 8.. / A8 = 8 ==>  3 pairs (_) / A9 = 8 ==>  4 pairs (_)
A7,B7: 1.. / A7 = 1 ==>  4 pairs (_) / B7 = 1 ==>  2 pairs (_)
B4,I4: 6.. / B4 = 6 ==>  3 pairs (_) / I4 = 6 ==>  3 pairs (_)
F7,F9: 6.. / F7 = 6 ==>  3 pairs (_) / F9 = 6 ==>  3 pairs (_)
A5,A6: 5.. / A5 = 5 ==>  2 pairs (_) / A6 = 5 ==>  3 pairs (_)
F1,D3: 5.. / F1 = 5 ==>  3 pairs (_) / D3 = 5 ==>  2 pairs (_)
B4,B8: 9.. / B4 = 9 ==>  1 pairs (_) / B8 = 9 ==>  3 pairs (_)
C5,I5: 9.. / C5 = 9 ==>  3 pairs (_) / I5 = 9 ==>  1 pairs (_)
B8,C8: 9.. / B8 = 9 ==>  3 pairs (_) / C8 = 9 ==>  1 pairs (_)
H2,H4: 9.. / H2 = 9 ==>  0 pairs (_) / H4 = 9 ==>  1 pairs (_)
H2,I2: 9.. / H2 = 9 ==>  0 pairs (_) / I2 = 9 ==>  1 pairs (_)
H2,H4: 8.. / H2 = 8 ==>  1 pairs (_) / H4 = 8 ==>  0 pairs (_)
* DURATION: 0:02:53.163071  START: 20:15:09.991980  END: 20:18:03.155051 2021-01-01
* REASONING A5,A6: 5..
* DIS # A6: 5 # B4: 1,2 => CTR => B4: 3,6,9
* CNT   1 HDP CHAINS /  31 HYP OPENED
* REASONING B4,B8: 9..
* DIS # B4: 9 # A5: 1,2 => CTR => A5: 5
* CNT   1 HDP CHAINS /  34 HYP OPENED
* REASONING B8,C8: 9..
* DIS # C8: 9 # A5: 1,2 => CTR => A5: 5
* CNT   1 HDP CHAINS /  34 HYP OPENED
* DCP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
G8,H8: 5.. / G8 = 5 ==>  0 pairs (*) / H8 = 5  =>  0 pairs (X)
* DURATION: 0:00:54.503272  START: 20:18:03.340981  END: 20:18:57.844253 2021-01-01
* REASONING G8,H8: 5..
* DIS # G8: 5 # I2: 1,2,4 # E5: 1,2 => CTR => E5: 4,8
* DIS # G8: 5 # I2: 1,2,4 + E5: 4,8 # G5: 1,2 => CTR => G5: 4
* PRF # G8: 5 # I2: 1,2,4 + E5: 4,8 + G5: 4 # F2: 2,3 => SOL
* STA # G8: 5 # I2: 1,2,4 + E5: 4,8 + G5: 4 + F2: 2,3
* CNT   3 HDP CHAINS /  55 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

845837;13_02;GP;25;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # I2: 8,9 => UNS
* INC # I2: 1,2,3,4 => UNS
* INC # I4: 8,9 => UNS
* INC # I5: 8,9 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # I2: 8,9 => UNS
* INC # I2: 1,2,3,4 => UNS
* INC # I4: 8,9 => UNS
* INC # I5: 8,9 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # I2: 8,9 => UNS
* INC # I2: 1,2,3,4 => UNS
* INC # I4: 8,9 => UNS
* INC # I5: 8,9 => UNS
* INC # I2: 8,9 # I4: 8,9 => UNS
* INC # I2: 8,9 # I5: 8,9 => UNS
* INC # I2: 8,9 # I4: 8,9 => UNS
* INC # I2: 8,9 # I5: 8,9 => UNS
* INC # I2: 8,9 => UNS
* INC # I2: 1,2,3,4 => UNS
* INC # I4: 8,9 # I2: 8,9 => UNS
* INC # I4: 8,9 # I2: 1,2,3,4 => UNS
* INC # I4: 8,9 # I2: 8,9 => UNS
* INC # I4: 8,9 # I2: 1,2,3,4 => UNS
* INC # I4: 8,9 # B7: 3,4 => UNS
* INC # I4: 8,9 # B9: 3,4 => UNS
* INC # I4: 8,9 # E8: 3,4 => UNS
* INC # I4: 8,9 # G8: 3,4 => UNS
* INC # I4: 8,9 # C1: 3,4 => UNS
* INC # I4: 8,9 # C2: 3,4 => UNS
* INC # I4: 8,9 => UNS
* INC # I5: 8,9 # I2: 8,9 => UNS
* INC # I5: 8,9 # I2: 1,2,3,4 => UNS
* INC # I5: 8,9 # I2: 8,9 => UNS
* INC # I5: 8,9 # I2: 1,2,3,4 => UNS
* INC # I5: 8,9 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G8,H8: 5..:

* INC # G8: 5 # I2: 8,9 => UNS
* INC # G8: 5 # I2: 1,2,4 => UNS
* INC # G8: 5 # I4: 1,2 => UNS
* INC # G8: 5 # G5: 1,2 => UNS
* INC # G8: 5 # I5: 1,2 => UNS
* INC # G8: 5 # I6: 1,2 => UNS
* INC # G8: 5 # B4: 1,2 => UNS
* INC # G8: 5 # C4: 1,2 => UNS
* INC # G8: 5 # E4: 1,2 => UNS
* INC # G8: 5 # G2: 1,2 => UNS
* INC # G8: 5 # G3: 1,2 => UNS
* INC # G8: 5 # I4: 8,9 => UNS
* INC # G8: 5 # I5: 8,9 => UNS
* INC # G8: 5 # H7: 4,6 => UNS
* INC # G8: 5 # I7: 4,6 => UNS
* INC # G8: 5 # I9: 4,6 => UNS
* INC # G8: 5 # B8: 4,6 => UNS
* INC # G8: 5 # B8: 3,9 => UNS
* INC # G8: 5 # H6: 4,6 => UNS
* INC # G8: 5 # H6: 2,5 => UNS
* INC # G8: 5 => UNS
* INC # H8: 5 # I1: 2,4 => UNS
* INC # H8: 5 # G2: 2,4 => UNS
* INC # H8: 5 # I2: 2,4 => UNS
* INC # H8: 5 # G3: 2,4 => UNS
* INC # H8: 5 # I3: 2,4 => UNS
* INC # H8: 5 # C1: 2,4 => UNS
* INC # H8: 5 # E1: 2,4 => UNS
* INC # H8: 5 # F1: 2,4 => UNS
* INC # H8: 5 # H6: 2,4 => UNS
* INC # H8: 5 # H7: 2,4 => UNS
* INC # H8: 5 # I2: 8,9 => UNS
* INC # H8: 5 # I2: 1,2,3,4 => UNS
* INC # H8: 5 # I4: 8,9 => UNS
* INC # H8: 5 # I5: 8,9 => UNS
* INC # H8: 5 # I7: 3,4 => UNS
* INC # H8: 5 # I9: 3,4 => UNS
* INC # H8: 5 # B8: 3,4 => UNS
* INC # H8: 5 # C8: 3,4 => UNS
* INC # H8: 5 # E8: 3,4 => UNS
* INC # H8: 5 # G2: 3,4 => UNS
* INC # H8: 5 # G3: 3,4 => UNS
* INC # H8: 5 => UNS
* CNT  43 HDP CHAINS /  43 HYP OPENED

Full list of HDP chains traversed for A8,E8: 8..:

* INC # E8: 8 # I2: 8,9 => UNS
* INC # E8: 8 # I2: 1,2,3,4 => UNS
* INC # E8: 8 # I4: 8,9 => UNS
* INC # E8: 8 # I5: 8,9 => UNS
* INC # E8: 8 # A7: 3,6 => UNS
* INC # E8: 8 # B7: 3,6 => UNS
* INC # E8: 8 # B8: 3,6 => UNS
* INC # E8: 8 # B9: 3,6 => UNS
* INC # E8: 8 # A6: 3,6 => UNS
* INC # E8: 8 # A6: 1,2,5 => UNS
* INC # E8: 8 # F7: 3,4 => UNS
* INC # E8: 8 # F9: 3,4 => UNS
* INC # E8: 8 # B9: 3,4 => UNS
* INC # E8: 8 # I9: 3,4 => UNS
* INC # E8: 8 # D2: 3,4 => UNS
* INC # E8: 8 # D3: 3,4 => UNS
* INC # E8: 8 # D6: 3,4 => UNS
* INC # E8: 8 => UNS
* INC # A8: 8 # I2: 8,9 => UNS
* INC # A8: 8 # I2: 1,2,3,4 => UNS
* INC # A8: 8 # I4: 8,9 => UNS
* INC # A8: 8 # I5: 8,9 => UNS
* INC # A8: 8 # F7: 3,4 => UNS
* INC # A8: 8 # D9: 3,4 => UNS
* INC # A8: 8 # F9: 3,4 => UNS
* INC # A8: 8 # B8: 3,4 => UNS
* INC # A8: 8 # C8: 3,4 => UNS
* INC # A8: 8 # G8: 3,4 => UNS
* INC # A8: 8 # E1: 3,4 => UNS
* INC # A8: 8 # E3: 3,4 => UNS
* INC # A8: 8 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for A8,A9: 8..:

* INC # A9: 8 # I2: 8,9 => UNS
* INC # A9: 8 # I2: 1,2,3,4 => UNS
* INC # A9: 8 # I4: 8,9 => UNS
* INC # A9: 8 # I5: 8,9 => UNS
* INC # A9: 8 # A7: 3,6 => UNS
* INC # A9: 8 # B7: 3,6 => UNS
* INC # A9: 8 # B8: 3,6 => UNS
* INC # A9: 8 # B9: 3,6 => UNS
* INC # A9: 8 # A6: 3,6 => UNS
* INC # A9: 8 # A6: 1,2,5 => UNS
* INC # A9: 8 # F7: 3,4 => UNS
* INC # A9: 8 # F9: 3,4 => UNS
* INC # A9: 8 # B9: 3,4 => UNS
* INC # A9: 8 # I9: 3,4 => UNS
* INC # A9: 8 # D2: 3,4 => UNS
* INC # A9: 8 # D3: 3,4 => UNS
* INC # A9: 8 # D6: 3,4 => UNS
* INC # A9: 8 => UNS
* INC # A8: 8 # I2: 8,9 => UNS
* INC # A8: 8 # I2: 1,2,3,4 => UNS
* INC # A8: 8 # I4: 8,9 => UNS
* INC # A8: 8 # I5: 8,9 => UNS
* INC # A8: 8 # F7: 3,4 => UNS
* INC # A8: 8 # D9: 3,4 => UNS
* INC # A8: 8 # F9: 3,4 => UNS
* INC # A8: 8 # B8: 3,4 => UNS
* INC # A8: 8 # C8: 3,4 => UNS
* INC # A8: 8 # G8: 3,4 => UNS
* INC # A8: 8 # E1: 3,4 => UNS
* INC # A8: 8 # E3: 3,4 => UNS
* INC # A8: 8 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for A7,B7: 1..:

* INC # A7: 1 # C1: 2,3 => UNS
* INC # A7: 1 # C2: 2,3 => UNS
* INC # A7: 1 # B3: 2,3 => UNS
* INC # A7: 1 # E3: 2,3 => UNS
* INC # A7: 1 # G3: 2,3 => UNS
* INC # A7: 1 # I3: 2,3 => UNS
* INC # A7: 1 # A6: 2,3 => UNS
* INC # A7: 1 # A9: 2,3 => UNS
* INC # A7: 1 # I2: 8,9 => UNS
* INC # A7: 1 # I2: 1,2,3,4 => UNS
* INC # A7: 1 # A6: 2,5 => UNS
* INC # A7: 1 # A6: 3,6 => UNS
* INC # A7: 1 # F5: 2,5 => UNS
* INC # A7: 1 # G5: 2,5 => UNS
* INC # A7: 1 # I5: 2,5 => UNS
* INC # A7: 1 # I4: 8,9 => UNS
* INC # A7: 1 # I5: 8,9 => UNS
* INC # A7: 1 => UNS
* INC # B7: 1 # I2: 8,9 => UNS
* INC # B7: 1 # I2: 1,2,3,4 => UNS
* INC # B7: 1 # I4: 8,9 => UNS
* INC # B7: 1 # I5: 8,9 => UNS
* INC # B7: 1 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for B4,I4: 6..:

* INC # B4: 6 # I2: 8,9 => UNS
* INC # B4: 6 # I2: 1,2,3,4 => UNS
* INC # B4: 6 # I4: 8,9 => UNS
* INC # B4: 6 # I5: 8,9 => UNS
* INC # B4: 6 # B7: 3,4 => UNS
* INC # B4: 6 # B9: 3,4 => UNS
* INC # B4: 6 # E8: 3,4 => UNS
* INC # B4: 6 # G8: 3,4 => UNS
* INC # B4: 6 # C1: 3,4 => UNS
* INC # B4: 6 # C2: 3,4 => UNS
* INC # B4: 6 => UNS
* INC # I4: 6 # I2: 8,9 => UNS
* INC # I4: 6 # I2: 1,2,3,4 => UNS
* INC # I4: 6 # I2: 8,9 => UNS
* INC # I4: 6 # I2: 1,2,3,4 => UNS
* INC # I4: 6 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for F7,F9: 6..:

* INC # F7: 6 # I2: 8,9 => UNS
* INC # F7: 6 # I2: 1,2,3,4 => UNS
* INC # F7: 6 # I4: 8,9 => UNS
* INC # F7: 6 # I5: 8,9 => UNS
* INC # F7: 6 # I7: 2,4 => UNS
* INC # F7: 6 # I9: 2,4 => UNS
* INC # F7: 6 # B7: 2,4 => UNS
* INC # F7: 6 # B7: 1,3 => UNS
* INC # F7: 6 # H1: 2,4 => UNS
* INC # F7: 6 # H6: 2,4 => UNS
* INC # F7: 6 => UNS
* INC # F9: 6 # I2: 8,9 => UNS
* INC # F9: 6 # I2: 1,2,3,4 => UNS
* INC # F9: 6 # I4: 8,9 => UNS
* INC # F9: 6 # I5: 8,9 => UNS
* INC # F9: 6 # E8: 3,4 => UNS
* INC # F9: 6 # D9: 3,4 => UNS
* INC # F9: 6 # B7: 3,4 => UNS
* INC # F9: 6 # I7: 3,4 => UNS
* INC # F9: 6 # F1: 3,4 => UNS
* INC # F9: 6 # F2: 3,4 => UNS
* INC # F9: 6 # F6: 3,4 => UNS
* INC # F9: 6 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for A5,A6: 5..:

* INC # A6: 5 # I2: 8,9 => UNS
* INC # A6: 5 # I2: 1,2,3,4 => UNS
* DIS # A6: 5 # B4: 1,2 => CTR => B4: 3,6,9
* INC # A6: 5 + B4: 3,6,9 # C4: 1,2 => UNS
* INC # A6: 5 + B4: 3,6,9 # C5: 1,2 => UNS
* INC # A6: 5 + B4: 3,6,9 # B6: 1,2 => UNS
* INC # A6: 5 + B4: 3,6,9 # E5: 1,2 => UNS
* INC # A6: 5 + B4: 3,6,9 # G5: 1,2 => UNS
* INC # A6: 5 + B4: 3,6,9 # I5: 1,2 => UNS
* INC # A6: 5 + B4: 3,6,9 # A3: 1,2 => UNS
* INC # A6: 5 + B4: 3,6,9 # A7: 1,2 => UNS
* INC # A6: 5 + B4: 3,6,9 # I4: 8,9 => UNS
* INC # A6: 5 + B4: 3,6,9 # I5: 8,9 => UNS
* INC # A6: 5 + B4: 3,6,9 # I2: 8,9 => UNS
* INC # A6: 5 + B4: 3,6,9 # I2: 1,2,3,4 => UNS
* INC # A6: 5 + B4: 3,6,9 # C4: 1,2 => UNS
* INC # A6: 5 + B4: 3,6,9 # C5: 1,2 => UNS
* INC # A6: 5 + B4: 3,6,9 # B6: 1,2 => UNS
* INC # A6: 5 + B4: 3,6,9 # E5: 1,2 => UNS
* INC # A6: 5 + B4: 3,6,9 # G5: 1,2 => UNS
* INC # A6: 5 + B4: 3,6,9 # I5: 1,2 => UNS
* INC # A6: 5 + B4: 3,6,9 # A3: 1,2 => UNS
* INC # A6: 5 + B4: 3,6,9 # A7: 1,2 => UNS
* INC # A6: 5 + B4: 3,6,9 # I4: 8,9 => UNS
* INC # A6: 5 + B4: 3,6,9 # I5: 8,9 => UNS
* INC # A6: 5 + B4: 3,6,9 => UNS
* INC # A5: 5 # I2: 8,9 => UNS
* INC # A5: 5 # I2: 1,2,3,4 => UNS
* INC # A5: 5 # I4: 8,9 => UNS
* INC # A5: 5 # I5: 8,9 => UNS
* INC # A5: 5 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for F1,D3: 5..:

* INC # F1: 5 # I1: 2,4 => UNS
* INC # F1: 5 # G2: 2,4 => UNS
* INC # F1: 5 # I2: 2,4 => UNS
* INC # F1: 5 # G3: 2,4 => UNS
* INC # F1: 5 # I3: 2,4 => UNS
* INC # F1: 5 # C1: 2,4 => UNS
* INC # F1: 5 # E1: 2,4 => UNS
* INC # F1: 5 # H6: 2,4 => UNS
* INC # F1: 5 # H7: 2,4 => UNS
* INC # F1: 5 # I2: 8,9 => UNS
* INC # F1: 5 # I2: 1,2,3,4 => UNS
* INC # F1: 5 # I4: 8,9 => UNS
* INC # F1: 5 # I5: 8,9 => UNS
* INC # F1: 5 => UNS
* INC # D3: 5 # I2: 8,9 => UNS
* INC # D3: 5 # I2: 1,2,3,4 => UNS
* INC # D3: 5 # I4: 8,9 => UNS
* INC # D3: 5 # I5: 8,9 => UNS
* INC # D3: 5 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for B4,B8: 9..:

* INC # B8: 9 # I2: 8,9 => UNS
* INC # B8: 9 # I2: 1,2,3,4 => UNS
* INC # B8: 9 # I4: 8,9 => UNS
* INC # B8: 9 # I5: 8,9 => UNS
* INC # B8: 9 # B7: 3,4 => UNS
* INC # B8: 9 # B9: 3,4 => UNS
* INC # B8: 9 # E8: 3,4 => UNS
* INC # B8: 9 # G8: 3,4 => UNS
* INC # B8: 9 # C1: 3,4 => UNS
* INC # B8: 9 # C2: 3,4 => UNS
* INC # B8: 9 => UNS
* INC # B4: 9 # C4: 1,2 => UNS
* DIS # B4: 9 # A5: 1,2 => CTR => A5: 5
* INC # B4: 9 + A5: 5 # A6: 1,2 => UNS
* INC # B4: 9 + A5: 5 # B6: 1,2 => UNS
* INC # B4: 9 + A5: 5 # E5: 1,2 => UNS
* INC # B4: 9 + A5: 5 # G5: 1,2 => UNS
* INC # B4: 9 + A5: 5 # C1: 1,2 => UNS
* INC # B4: 9 + A5: 5 # C2: 1,2 => UNS
* INC # B4: 9 + A5: 5 # C4: 1,2 => UNS
* INC # B4: 9 + A5: 5 # A6: 1,2 => UNS
* INC # B4: 9 + A5: 5 # B6: 1,2 => UNS
* INC # B4: 9 + A5: 5 # E5: 1,2 => UNS
* INC # B4: 9 + A5: 5 # G5: 1,2 => UNS
* INC # B4: 9 + A5: 5 # C1: 1,2 => UNS
* INC # B4: 9 + A5: 5 # C2: 1,2 => UNS
* INC # B4: 9 + A5: 5 # C4: 1,2 => UNS
* INC # B4: 9 + A5: 5 # A6: 1,2 => UNS
* INC # B4: 9 + A5: 5 # B6: 1,2 => UNS
* INC # B4: 9 + A5: 5 # E5: 1,2 => UNS
* INC # B4: 9 + A5: 5 # G5: 1,2 => UNS
* INC # B4: 9 + A5: 5 # C1: 1,2 => UNS
* INC # B4: 9 + A5: 5 # C2: 1,2 => UNS
* INC # B4: 9 + A5: 5 => UNS
* CNT  34 HDP CHAINS /  34 HYP OPENED

Full list of HDP chains traversed for C5,I5: 9..:

* INC # C5: 9 # I2: 8,9 => UNS
* INC # C5: 9 # I2: 1,2,3,4 => UNS
* INC # C5: 9 # I4: 8,9 => UNS
* INC # C5: 9 # I4: 1,2,5,6 => UNS
* INC # C5: 9 # B7: 3,4 => UNS
* INC # C5: 9 # B9: 3,4 => UNS
* INC # C5: 9 # E8: 3,4 => UNS
* INC # C5: 9 # G8: 3,4 => UNS
* INC # C5: 9 # C1: 3,4 => UNS
* INC # C5: 9 # C2: 3,4 => UNS
* INC # C5: 9 => UNS
* INC # I5: 9 # B4: 1,2 => UNS
* INC # I5: 9 # C4: 1,2 => UNS
* INC # I5: 9 # A5: 1,2 => UNS
* INC # I5: 9 # A6: 1,2 => UNS
* INC # I5: 9 # B6: 1,2 => UNS
* INC # I5: 9 # E5: 1,2 => UNS
* INC # I5: 9 # G5: 1,2 => UNS
* INC # I5: 9 # C1: 1,2 => UNS
* INC # I5: 9 # C2: 1,2 => UNS
* INC # I5: 9 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for B8,C8: 9..:

* INC # B8: 9 # I2: 8,9 => UNS
* INC # B8: 9 # I2: 1,2,3,4 => UNS
* INC # B8: 9 # I4: 8,9 => UNS
* INC # B8: 9 # I5: 8,9 => UNS
* INC # B8: 9 # B7: 3,4 => UNS
* INC # B8: 9 # B9: 3,4 => UNS
* INC # B8: 9 # E8: 3,4 => UNS
* INC # B8: 9 # G8: 3,4 => UNS
* INC # B8: 9 # C1: 3,4 => UNS
* INC # B8: 9 # C2: 3,4 => UNS
* INC # B8: 9 => UNS
* INC # C8: 9 # C4: 1,2 => UNS
* DIS # C8: 9 # A5: 1,2 => CTR => A5: 5
* INC # C8: 9 + A5: 5 # A6: 1,2 => UNS
* INC # C8: 9 + A5: 5 # B6: 1,2 => UNS
* INC # C8: 9 + A5: 5 # E5: 1,2 => UNS
* INC # C8: 9 + A5: 5 # G5: 1,2 => UNS
* INC # C8: 9 + A5: 5 # C1: 1,2 => UNS
* INC # C8: 9 + A5: 5 # C2: 1,2 => UNS
* INC # C8: 9 + A5: 5 # C4: 1,2 => UNS
* INC # C8: 9 + A5: 5 # A6: 1,2 => UNS
* INC # C8: 9 + A5: 5 # B6: 1,2 => UNS
* INC # C8: 9 + A5: 5 # E5: 1,2 => UNS
* INC # C8: 9 + A5: 5 # G5: 1,2 => UNS
* INC # C8: 9 + A5: 5 # C1: 1,2 => UNS
* INC # C8: 9 + A5: 5 # C2: 1,2 => UNS
* INC # C8: 9 + A5: 5 # C4: 1,2 => UNS
* INC # C8: 9 + A5: 5 # A6: 1,2 => UNS
* INC # C8: 9 + A5: 5 # B6: 1,2 => UNS
* INC # C8: 9 + A5: 5 # E5: 1,2 => UNS
* INC # C8: 9 + A5: 5 # G5: 1,2 => UNS
* INC # C8: 9 + A5: 5 # C1: 1,2 => UNS
* INC # C8: 9 + A5: 5 # C2: 1,2 => UNS
* INC # C8: 9 + A5: 5 => UNS
* CNT  34 HDP CHAINS /  34 HYP OPENED

Full list of HDP chains traversed for H2,H4: 9..:

* INC # H4: 9 # B7: 3,4 => UNS
* INC # H4: 9 # B9: 3,4 => UNS
* INC # H4: 9 # E8: 3,4 => UNS
* INC # H4: 9 # G8: 3,4 => UNS
* INC # H4: 9 # C1: 3,4 => UNS
* INC # H4: 9 # C2: 3,4 => UNS
* INC # H4: 9 => UNS
* INC # H2: 9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for H2,I2: 9..:

* INC # I2: 9 # B7: 3,4 => UNS
* INC # I2: 9 # B9: 3,4 => UNS
* INC # I2: 9 # E8: 3,4 => UNS
* INC # I2: 9 # G8: 3,4 => UNS
* INC # I2: 9 # C1: 3,4 => UNS
* INC # I2: 9 # C2: 3,4 => UNS
* INC # I2: 9 => UNS
* INC # H2: 9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for H2,H4: 8..:

* INC # H2: 8 # B7: 3,4 => UNS
* INC # H2: 8 # B9: 3,4 => UNS
* INC # H2: 8 # E8: 3,4 => UNS
* INC # H2: 8 # G8: 3,4 => UNS
* INC # H2: 8 # C1: 3,4 => UNS
* INC # H2: 8 # C2: 3,4 => UNS
* INC # H2: 8 => UNS
* INC # H4: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A5. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for G8,H8: 5..:

* INC # G8: 5 # I2: 8,9 => UNS
* INC # G8: 5 # I2: 1,2,4 => UNS
* INC # G8: 5 # I4: 1,2 => UNS
* INC # G8: 5 # G5: 1,2 => UNS
* INC # G8: 5 # I5: 1,2 => UNS
* INC # G8: 5 # I6: 1,2 => UNS
* INC # G8: 5 # B4: 1,2 => UNS
* INC # G8: 5 # C4: 1,2 => UNS
* INC # G8: 5 # E4: 1,2 => UNS
* INC # G8: 5 # G2: 1,2 => UNS
* INC # G8: 5 # G3: 1,2 => UNS
* INC # G8: 5 # I4: 8,9 => UNS
* INC # G8: 5 # I5: 8,9 => UNS
* INC # G8: 5 # H7: 4,6 => UNS
* INC # G8: 5 # I7: 4,6 => UNS
* INC # G8: 5 # I9: 4,6 => UNS
* INC # G8: 5 # B8: 4,6 => UNS
* INC # G8: 5 # B8: 3,9 => UNS
* INC # G8: 5 # H6: 4,6 => UNS
* INC # G8: 5 # H6: 2,5 => UNS
* INC # G8: 5 # I2: 8,9 # I4: 8,9 => UNS
* INC # G8: 5 # I2: 8,9 # I5: 8,9 => UNS
* INC # G8: 5 # I2: 8,9 # I4: 1,2 => UNS
* INC # G8: 5 # I2: 8,9 # G5: 1,2 => UNS
* INC # G8: 5 # I2: 8,9 # I5: 1,2 => UNS
* INC # G8: 5 # I2: 8,9 # I6: 1,2 => UNS
* INC # G8: 5 # I2: 8,9 # B4: 1,2 => UNS
* INC # G8: 5 # I2: 8,9 # C4: 1,2 => UNS
* INC # G8: 5 # I2: 8,9 # E4: 1,2 => UNS
* INC # G8: 5 # I2: 8,9 # G2: 1,2 => UNS
* INC # G8: 5 # I2: 8,9 # G3: 1,2 => UNS
* INC # G8: 5 # I2: 8,9 # I4: 8,9 => UNS
* INC # G8: 5 # I2: 8,9 # I5: 8,9 => UNS
* INC # G8: 5 # I2: 8,9 # H7: 4,6 => UNS
* INC # G8: 5 # I2: 8,9 # I7: 4,6 => UNS
* INC # G8: 5 # I2: 8,9 # I9: 4,6 => UNS
* INC # G8: 5 # I2: 8,9 # B8: 4,6 => UNS
* INC # G8: 5 # I2: 8,9 # B8: 3,9 => UNS
* INC # G8: 5 # I2: 8,9 # H6: 4,6 => UNS
* INC # G8: 5 # I2: 8,9 # H6: 2,5 => UNS
* INC # G8: 5 # I2: 8,9 => UNS
* INC # G8: 5 # I2: 1,2,4 # A5: 1,2 => UNS
* INC # G8: 5 # I2: 1,2,4 # A6: 1,2 => UNS
* INC # G8: 5 # I2: 1,2,4 # B6: 1,2 => UNS
* DIS # G8: 5 # I2: 1,2,4 # E5: 1,2 => CTR => E5: 4,8
* DIS # G8: 5 # I2: 1,2,4 + E5: 4,8 # G5: 1,2 => CTR => G5: 4
* INC # G8: 5 # I2: 1,2,4 + E5: 4,8 + G5: 4 # C1: 1,2 => UNS
* INC # G8: 5 # I2: 1,2,4 + E5: 4,8 + G5: 4 # C2: 1,2 => UNS
* INC # G8: 5 # I2: 1,2,4 + E5: 4,8 + G5: 4 # C1: 1,2 => UNS
* INC # G8: 5 # I2: 1,2,4 + E5: 4,8 + G5: 4 # C2: 1,2 => UNS
* INC # G8: 5 # I2: 1,2,4 + E5: 4,8 + G5: 4 # C1: 3,4 => UNS
* INC # G8: 5 # I2: 1,2,4 + E5: 4,8 + G5: 4 # C2: 3,4 => UNS
* PRF # G8: 5 # I2: 1,2,4 + E5: 4,8 + G5: 4 # F2: 2,3 => SOL
* STA # G8: 5 # I2: 1,2,4 + E5: 4,8 + G5: 4 + F2: 2,3
* CNT  53 HDP CHAINS /  55 HYP OPENED