Analysis of xx-ph-00717056-12_12_19-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: ..............1.23.23.4.5........6...45.6..3.7....54...52.3...6.7.8...5.9........ initial

Autosolve

position: ..............1.23.23.4.5........6.5.45.6..3.7....54...52.3...6.7.8...5.9........ autosolve
Autosolve

Pair Reduction Variants

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for H1,H3: 6..:

* DIS # H3: 6 # F1: 7,9 => CTR => F1: 2,3,6,8
* CNT   1 HDP CHAINS /  49 HYP OPENED

List of important HDP chains detected for H1,I1: 4..:

* DIS # H1: 4 # F1: 7,9 => CTR => F1: 2,3,6,8
* CNT   1 HDP CHAINS /  49 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: 0:01:12.290537

List of important HDP chains detected for B6,D6: 3..:

* DIS # B6: 3 # B1: 8,9 # H1: 8,9 => CTR => H1: 1,4,6,7
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 # H1: 1,7 => CTR => H1: 4,6
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 # I1: 1,7 => CTR => I1: 4,8,9
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 # G1: 8,9 => CTR => G1: 1,7
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 # H3: 7,8,9 => CTR => H3: 1,6
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 # F5: 2,8 => CTR => F5: 7,9
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 # E4: 2 => CTR => E4: 7,8
* PRF # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 + E4: 7,8 # H7: 1,4 => SOL
* STA # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 + E4: 7,8 + H7: 1,4
* CNT   8 HDP CHAINS /  48 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

..............1.23.23.4.5........6...45.6..3.7....54...52.3...6.7.8...5.9........ initial
..............1.23.23.4.5........6.5.45.6..3.7....54...52.3...6.7.8...5.9........ autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A4,A5: 2.. / A4 = 2  =>  2 pairs (_) / A5 = 2  =>  2 pairs (_)
D1,F1: 3.. / D1 = 3  =>  2 pairs (_) / F1 = 3  =>  0 pairs (_)
A8,B9: 3.. / A8 = 3  =>  1 pairs (_) / B9 = 3  =>  0 pairs (_)
G8,G9: 3.. / G8 = 3  =>  0 pairs (_) / G9 = 3  =>  1 pairs (_)
B6,D6: 3.. / B6 = 3  =>  4 pairs (_) / D6 = 3  =>  0 pairs (_)
A8,G8: 3.. / A8 = 3  =>  1 pairs (_) / G8 = 3  =>  0 pairs (_)
B9,G9: 3.. / B9 = 3  =>  0 pairs (_) / G9 = 3  =>  1 pairs (_)
A4,A8: 3.. / A4 = 3  =>  0 pairs (_) / A8 = 3  =>  1 pairs (_)
F1,F4: 3.. / F1 = 3  =>  0 pairs (_) / F4 = 3  =>  2 pairs (_)
A2,C2: 4.. / A2 = 4  =>  1 pairs (_) / C2 = 4  =>  1 pairs (_)
H1,I1: 4.. / H1 = 4  =>  2 pairs (_) / I1 = 4  =>  0 pairs (_)
D4,F4: 4.. / D4 = 4  =>  0 pairs (_) / F4 = 4  =>  1 pairs (_)
A1,A2: 5.. / A1 = 5  =>  0 pairs (_) / A2 = 5  =>  3 pairs (_)
D9,E9: 5.. / D9 = 5  =>  0 pairs (_) / E9 = 5  =>  0 pairs (_)
H1,H3: 6.. / H1 = 6  =>  0 pairs (_) / H3 = 6  =>  2 pairs (_)
B6,C6: 6.. / B6 = 6  =>  1 pairs (_) / C6 = 6  =>  3 pairs (_)
C1,C2: 7.. / C1 = 7  =>  0 pairs (_) / C2 = 7  =>  2 pairs (_)
* DURATION: 0:00:11.881219  START: 06:44:09.723718  END: 06:44:21.604937 2020-12-30
* CP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B6,D6: 3.. / B6 = 3 ==>  4 pairs (_) / D6 = 3 ==>  0 pairs (_)
B6,C6: 6.. / B6 = 6 ==>  1 pairs (_) / C6 = 6 ==>  3 pairs (_)
A1,A2: 5.. / A1 = 5 ==>  0 pairs (_) / A2 = 5 ==>  3 pairs (_)
A4,A5: 2.. / A4 = 2 ==>  2 pairs (_) / A5 = 2 ==>  2 pairs (_)
C1,C2: 7.. / C1 = 7 ==>  0 pairs (_) / C2 = 7 ==>  2 pairs (_)
H1,H3: 6.. / H1 = 6 ==>  0 pairs (_) / H3 = 6 ==>  2 pairs (_)
H1,I1: 4.. / H1 = 4 ==>  2 pairs (_) / I1 = 4 ==>  0 pairs (_)
F1,F4: 3.. / F1 = 3 ==>  0 pairs (_) / F4 = 3 ==>  2 pairs (_)
D1,F1: 3.. / D1 = 3 ==>  2 pairs (_) / F1 = 3 ==>  0 pairs (_)
A2,C2: 4.. / A2 = 4 ==>  1 pairs (_) / C2 = 4 ==>  1 pairs (_)
D4,F4: 4.. / D4 = 4 ==>  0 pairs (_) / F4 = 4 ==>  1 pairs (_)
A4,A8: 3.. / A4 = 3 ==>  0 pairs (_) / A8 = 3 ==>  1 pairs (_)
B9,G9: 3.. / B9 = 3 ==>  0 pairs (_) / G9 = 3 ==>  1 pairs (_)
A8,G8: 3.. / A8 = 3 ==>  1 pairs (_) / G8 = 3 ==>  0 pairs (_)
G8,G9: 3.. / G8 = 3 ==>  0 pairs (_) / G9 = 3 ==>  1 pairs (_)
A8,B9: 3.. / A8 = 3 ==>  1 pairs (_) / B9 = 3 ==>  0 pairs (_)
D9,E9: 5.. / D9 = 5 ==>  0 pairs (_) / E9 = 5 ==>  0 pairs (_)
* DURATION: 0:02:22.289993  START: 06:44:21.605848  END: 06:46:43.895841 2020-12-30
* REASONING H1,H3: 6..
* DIS # H3: 6 # F1: 7,9 => CTR => F1: 2,3,6,8
* CNT   1 HDP CHAINS /  49 HYP OPENED
* REASONING H1,I1: 4..
* DIS # H1: 4 # F1: 7,9 => CTR => F1: 2,3,6,8
* CNT   1 HDP CHAINS /  49 HYP OPENED
* DCP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
B6,D6: 3.. / B6 = 3 ==>  0 pairs (*) / D6 = 3  =>  0 pairs (X)
* DURATION: 0:01:12.288952  START: 06:46:44.116461  END: 06:47:56.405413 2020-12-30
* REASONING B6,D6: 3..
* DIS # B6: 3 # B1: 8,9 # H1: 8,9 => CTR => H1: 1,4,6,7
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 # H1: 1,7 => CTR => H1: 4,6
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 # I1: 1,7 => CTR => I1: 4,8,9
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 # G1: 8,9 => CTR => G1: 1,7
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 # H3: 7,8,9 => CTR => H3: 1,6
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 # F5: 2,8 => CTR => F5: 7,9
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 # E4: 2 => CTR => E4: 7,8
* PRF # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 + E4: 7,8 # H7: 1,4 => SOL
* STA # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 + E4: 7,8 + H7: 1,4
* CNT   8 HDP CHAINS /  48 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

717056;12_12_19;dob;23;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B6,D6: 3..:

* INC # B6: 3 # B1: 8,9 => UNS
* INC # B6: 3 # C1: 8,9 => UNS
* INC # B6: 3 # C2: 8,9 => UNS
* INC # B6: 3 # E2: 8,9 => UNS
* INC # B6: 3 # G2: 8,9 => UNS
* INC # B6: 3 # B4: 8,9 => UNS
* INC # B6: 3 # B4: 1 => UNS
* INC # B6: 3 # A7: 1,4 => UNS
* INC # B6: 3 # C9: 1,4 => UNS
* INC # B6: 3 # I8: 1,4 => UNS
* INC # B6: 3 # I8: 2,9 => UNS
* INC # B6: 3 => UNS
* INC # D6: 3 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for B6,C6: 6..:

* INC # C6: 6 # A7: 1,4 => UNS
* INC # C6: 6 # C9: 1,4 => UNS
* INC # C6: 6 # I8: 1,4 => UNS
* INC # C6: 6 # I8: 2,9 => UNS
* INC # C6: 6 => UNS
* INC # B6: 6 # B1: 8,9 => UNS
* INC # B6: 6 # C1: 8,9 => UNS
* INC # B6: 6 # C2: 8,9 => UNS
* INC # B6: 6 # E2: 8,9 => UNS
* INC # B6: 6 # G2: 8,9 => UNS
* INC # B6: 6 # B4: 8,9 => UNS
* INC # B6: 6 # B4: 1,3 => UNS
* INC # B6: 6 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for A1,A2: 5..:

* INC # A2: 5 # D1: 2,5 => UNS
* INC # A2: 5 # D1: 3 => UNS
* INC # A2: 5 # E9: 2,5 => UNS
* INC # A2: 5 # E9: 1,7 => UNS
* INC # A2: 5 # D1: 2,3 => UNS
* INC # A2: 5 # D1: 5 => UNS
* INC # A2: 5 # F4: 2,3 => UNS
* INC # A2: 5 # F4: 4,7,8,9 => UNS
* INC # A2: 5 # A8: 1,6 => UNS
* INC # A2: 5 # B9: 1,6 => UNS
* INC # A2: 5 # C9: 1,6 => UNS
* INC # A2: 5 # C6: 1,6 => UNS
* INC # A2: 5 # C6: 8,9 => UNS
* INC # A2: 5 => UNS
* INC # A1: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for A4,A5: 2..:

* INC # A4: 2 # B1: 8,9 => UNS
* INC # A4: 2 # C1: 8,9 => UNS
* INC # A4: 2 # C2: 8,9 => UNS
* INC # A4: 2 # E2: 8,9 => UNS
* INC # A4: 2 # G2: 8,9 => UNS
* INC # A4: 2 # B4: 8,9 => UNS
* INC # A4: 2 # B6: 8,9 => UNS
* INC # A4: 2 # B4: 1,8 => UNS
* INC # A4: 2 # C4: 1,8 => UNS
* INC # A4: 2 # B6: 1,8 => UNS
* INC # A4: 2 # C6: 1,8 => UNS
* INC # A4: 2 # G5: 1,8 => UNS
* INC # A4: 2 # I5: 1,8 => UNS
* INC # A4: 2 # A1: 1,8 => UNS
* INC # A4: 2 # A3: 1,8 => UNS
* INC # A4: 2 # A7: 1,8 => UNS
* INC # A4: 2 => UNS
* INC # A5: 2 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for C1,C2: 7..:

* INC # C2: 7 # G1: 8,9 => UNS
* INC # C2: 7 # H1: 8,9 => UNS
* INC # C2: 7 # I1: 8,9 => UNS
* INC # C2: 7 # H3: 8,9 => UNS
* INC # C2: 7 # I3: 8,9 => UNS
* INC # C2: 7 # B2: 8,9 => UNS
* INC # C2: 7 # E2: 8,9 => UNS
* INC # C2: 7 # G5: 8,9 => UNS
* INC # C2: 7 # G7: 8,9 => UNS
* INC # C2: 7 # B9: 1,8 => UNS
* INC # C2: 7 # C9: 1,8 => UNS
* INC # C2: 7 # G7: 1,8 => UNS
* INC # C2: 7 # H7: 1,8 => UNS
* INC # C2: 7 # A3: 1,8 => UNS
* INC # C2: 7 # A4: 1,8 => UNS
* INC # C2: 7 # A5: 1,8 => UNS
* INC # C2: 7 => UNS
* INC # C1: 7 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for H1,H3: 6..:

* INC # H3: 6 # A1: 1,8 => UNS
* INC # H3: 6 # B1: 1,8 => UNS
* INC # H3: 6 # C1: 1,8 => UNS
* INC # H3: 6 # I3: 1,8 => UNS
* INC # H3: 6 # I3: 7,9 => UNS
* INC # H3: 6 # A4: 1,8 => UNS
* INC # H3: 6 # A5: 1,8 => UNS
* INC # H3: 6 # A7: 1,8 => UNS
* INC # H3: 6 # D1: 7,9 => UNS
* INC # H3: 6 # E1: 7,9 => UNS
* DIS # H3: 6 # F1: 7,9 => CTR => F1: 2,3,6,8
* INC # H3: 6 + F1: 2,3,6,8 # D2: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # E2: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # F3: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # I3: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # I3: 1,8 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # D4: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # D5: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # D7: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # D1: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # E1: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # D2: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # E2: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # F3: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # I3: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # I3: 1,8 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # D4: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # D5: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # D7: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # A1: 1,8 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # B1: 1,8 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # C1: 1,8 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # I3: 1,8 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # I3: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # A4: 1,8 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # A5: 1,8 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # A7: 1,8 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # D1: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # E1: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # D2: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # E2: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # F3: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # I3: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # I3: 1,8 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # D4: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # D5: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 # D7: 7,9 => UNS
* INC # H3: 6 + F1: 2,3,6,8 => UNS
* INC # H1: 6 => UNS
* CNT  49 HDP CHAINS /  49 HYP OPENED

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

* INC # H1: 4 # A1: 1,8 => UNS
* INC # H1: 4 # B1: 1,8 => UNS
* INC # H1: 4 # C1: 1,8 => UNS
* INC # H1: 4 # I3: 1,8 => UNS
* INC # H1: 4 # I3: 7,9 => UNS
* INC # H1: 4 # A4: 1,8 => UNS
* INC # H1: 4 # A5: 1,8 => UNS
* INC # H1: 4 # A7: 1,8 => UNS
* INC # H1: 4 # D1: 7,9 => UNS
* INC # H1: 4 # E1: 7,9 => UNS
* DIS # H1: 4 # F1: 7,9 => CTR => F1: 2,3,6,8
* INC # H1: 4 + F1: 2,3,6,8 # D2: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # E2: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # F3: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # I3: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # I3: 1,8 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # D4: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # D5: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # D7: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # D1: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # E1: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # D2: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # E2: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # F3: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # I3: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # I3: 1,8 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # D4: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # D5: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # D7: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # A1: 1,8 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # B1: 1,8 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # C1: 1,8 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # I3: 1,8 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # I3: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # A4: 1,8 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # A5: 1,8 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # A7: 1,8 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # D1: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # E1: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # D2: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # E2: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # F3: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # I3: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # I3: 1,8 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # D4: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # D5: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 # D7: 7,9 => UNS
* INC # H1: 4 + F1: 2,3,6,8 => UNS
* INC # I1: 4 => UNS
* CNT  49 HDP CHAINS /  49 HYP OPENED

Full list of HDP chains traversed for F1,F4: 3..:

* INC # F4: 3 # B1: 8,9 => UNS
* INC # F4: 3 # C1: 8,9 => UNS
* INC # F4: 3 # C2: 8,9 => UNS
* INC # F4: 3 # E2: 8,9 => UNS
* INC # F4: 3 # G2: 8,9 => UNS
* INC # F4: 3 # B4: 8,9 => UNS
* INC # F4: 3 # B4: 1 => UNS
* INC # F4: 3 # A7: 1,4 => UNS
* INC # F4: 3 # C9: 1,4 => UNS
* INC # F4: 3 # I8: 1,4 => UNS
* INC # F4: 3 # I8: 2,9 => UNS
* INC # F4: 3 => UNS
* INC # F1: 3 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for D1,F1: 3..:

* INC # D1: 3 # B1: 8,9 => UNS
* INC # D1: 3 # C1: 8,9 => UNS
* INC # D1: 3 # C2: 8,9 => UNS
* INC # D1: 3 # E2: 8,9 => UNS
* INC # D1: 3 # G2: 8,9 => UNS
* INC # D1: 3 # B4: 8,9 => UNS
* INC # D1: 3 # B4: 1 => UNS
* INC # D1: 3 # A7: 1,4 => UNS
* INC # D1: 3 # C9: 1,4 => UNS
* INC # D1: 3 # I8: 1,4 => UNS
* INC # D1: 3 # I8: 2,9 => UNS
* INC # D1: 3 => UNS
* INC # F1: 3 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for A2,C2: 4..:

* INC # A2: 4 # B9: 1,8 => UNS
* INC # A2: 4 # C9: 1,8 => UNS
* INC # A2: 4 # G7: 1,8 => UNS
* INC # A2: 4 # H7: 1,8 => UNS
* INC # A2: 4 # A3: 1,8 => UNS
* INC # A2: 4 # A4: 1,8 => UNS
* INC # A2: 4 # A5: 1,8 => UNS
* INC # A2: 4 => UNS
* INC # C2: 4 # A8: 1,6 => UNS
* INC # C2: 4 # B9: 1,6 => UNS
* INC # C2: 4 # C9: 1,6 => UNS
* INC # C2: 4 # C6: 1,6 => UNS
* INC # C2: 4 # C6: 8,9 => UNS
* INC # C2: 4 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for D4,F4: 4..:

* INC # F4: 4 # D7: 7,9 => UNS
* INC # F4: 4 # D7: 1,4 => UNS
* INC # F4: 4 # G7: 7,9 => UNS
* INC # F4: 4 # H7: 7,9 => UNS
* INC # F4: 4 # F3: 7,9 => UNS
* INC # F4: 4 # F5: 7,9 => UNS
* INC # F4: 4 => UNS
* INC # D4: 4 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for A4,A8: 3..:

* INC # A8: 3 # B1: 8,9 => UNS
* INC # A8: 3 # C1: 8,9 => UNS
* INC # A8: 3 # C2: 8,9 => UNS
* INC # A8: 3 # E2: 8,9 => UNS
* INC # A8: 3 # G2: 8,9 => UNS
* INC # A8: 3 # B4: 8,9 => UNS
* INC # A8: 3 # B6: 8,9 => UNS
* INC # A8: 3 => UNS
* INC # A4: 3 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for B9,G9: 3..:

* INC # G9: 3 # B1: 8,9 => UNS
* INC # G9: 3 # C1: 8,9 => UNS
* INC # G9: 3 # C2: 8,9 => UNS
* INC # G9: 3 # E2: 8,9 => UNS
* INC # G9: 3 # G2: 8,9 => UNS
* INC # G9: 3 # B4: 8,9 => UNS
* INC # G9: 3 # B6: 8,9 => UNS
* INC # G9: 3 => UNS
* INC # B9: 3 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for A8,G8: 3..:

* INC # A8: 3 # B1: 8,9 => UNS
* INC # A8: 3 # C1: 8,9 => UNS
* INC # A8: 3 # C2: 8,9 => UNS
* INC # A8: 3 # E2: 8,9 => UNS
* INC # A8: 3 # G2: 8,9 => UNS
* INC # A8: 3 # B4: 8,9 => UNS
* INC # A8: 3 # B6: 8,9 => UNS
* INC # A8: 3 => UNS
* INC # G8: 3 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for G8,G9: 3..:

* INC # G9: 3 # B1: 8,9 => UNS
* INC # G9: 3 # C1: 8,9 => UNS
* INC # G9: 3 # C2: 8,9 => UNS
* INC # G9: 3 # E2: 8,9 => UNS
* INC # G9: 3 # G2: 8,9 => UNS
* INC # G9: 3 # B4: 8,9 => UNS
* INC # G9: 3 # B6: 8,9 => UNS
* INC # G9: 3 => UNS
* INC # G8: 3 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for A8,B9: 3..:

* INC # A8: 3 # B1: 8,9 => UNS
* INC # A8: 3 # C1: 8,9 => UNS
* INC # A8: 3 # C2: 8,9 => UNS
* INC # A8: 3 # E2: 8,9 => UNS
* INC # A8: 3 # G2: 8,9 => UNS
* INC # A8: 3 # B4: 8,9 => UNS
* INC # A8: 3 # B6: 8,9 => UNS
* INC # A8: 3 => UNS
* INC # B9: 3 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for D9,E9: 5..:

* INC # D9: 5 => UNS
* INC # E9: 5 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for B6,D6: 3..:

* INC # B6: 3 # B1: 8,9 => UNS
* INC # B6: 3 # C1: 8,9 => UNS
* INC # B6: 3 # C2: 8,9 => UNS
* INC # B6: 3 # E2: 8,9 => UNS
* INC # B6: 3 # G2: 8,9 => UNS
* INC # B6: 3 # B4: 8,9 => UNS
* INC # B6: 3 # B4: 1 => UNS
* INC # B6: 3 # A7: 1,4 => UNS
* INC # B6: 3 # C9: 1,4 => UNS
* INC # B6: 3 # I8: 1,4 => UNS
* INC # B6: 3 # I8: 2,9 => UNS
* INC # B6: 3 # B1: 8,9 # E1: 8,9 => UNS
* INC # B6: 3 # B1: 8,9 # F1: 8,9 => UNS
* INC # B6: 3 # B1: 8,9 # G1: 8,9 => UNS
* DIS # B6: 3 # B1: 8,9 # H1: 8,9 => CTR => H1: 1,4,6,7
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 # I1: 8,9 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 # E1: 8,9 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 # F1: 8,9 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 # G1: 8,9 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 # I1: 8,9 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 # G1: 1,7 => UNS
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 # H1: 1,7 => CTR => H1: 4,6
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 # I1: 1,7 => CTR => I1: 4,8,9
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 # G1: 1,7 => UNS
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 # G1: 8,9 => CTR => G1: 1,7
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 # E2: 8,9 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 # G2: 8,9 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 # H3: 1,6 => UNS
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 # H3: 7,8,9 => CTR => H3: 1,6
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 # E4: 2,8 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 # E4: 7 => UNS
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 # F5: 2,8 => CTR => F5: 7,9
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 # G5: 2,8 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 # I5: 2,8 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 # G5: 2,8 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 # I5: 2,8 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 # G5: 7,8 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 # I5: 7,8 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 # E4: 7,8 => UNS
* DIS # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 # E4: 2 => CTR => E4: 7,8
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 + E4: 7,8 # H7: 7,8 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 + E4: 7,8 # H7: 1,4,9 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 + E4: 7,8 # H7: 7,8 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 + E4: 7,8 # H7: 1,4,9 => UNS
* INC # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 + E4: 7,8 # D7: 1,4 => UNS
* PRF # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 + E4: 7,8 # H7: 1,4 => SOL
* STA # B6: 3 # B1: 8,9 + H1: 1,4,6,7 + H1: 4,6 + I1: 4,8,9 + G1: 1,7 + H3: 1,6 + F5: 7,9 + E4: 7,8 + H7: 1,4
* CNT  46 HDP CHAINS /  48 HYP OPENED