Analysis of xx-ph-00248052-12_12_03-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: ........1.....2.3..34.1.5.....2......63.4..5.7.....4.6..28..61..16.2...59........ initial

Autosolve

position: ........1.....2.3..34.1.5.....2......63.4..5.7.....4.6..28..61..16.2...59........ 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

Time used: 0:00:00.000007

List of important HDP chains detected for A2,C2: 1..:

* DIS # A2: 1 # D2: 7,9 => CTR => D2: 4,5,6
* CNT   1 HDP CHAINS /  51 HYP OPENED

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

* DIS # H3: 6 # D2: 7,9 => CTR => D2: 4,5,6
* CNT   1 HDP CHAINS /  42 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: 0:00:47.715226

List of important HDP chains detected for A4,B4: 4..:

* DIS # B4: 4 # F7: 3,4 # F9: 3,4 => CTR => F9: 1,5,6,7
* DIS # B4: 4 # I7: 3,4 # B1: 5,8 => CTR => B1: 2,9
* PRF # B4: 4 # I7: 3,4 + B1: 2,9 # B6: 5,8 => SOL
* STA # B4: 4 # I7: 3,4 + B1: 2,9 + B6: 5,8
* CNT   3 HDP CHAINS /  66 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.....2.3..34.1.5.....2......63.4..5.7.....4.6..28..61..16.2...59........ initial
........1.....2.3..34.1.5.....2......63.4..5.7.....4.6..28..61..16.2...59........ autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A2,C2: 1.. / A2 = 1  =>  2 pairs (_) / C2 = 1  =>  1 pairs (_)
G4,G5: 1.. / G4 = 1  =>  0 pairs (_) / G5 = 1  =>  2 pairs (_)
D9,F9: 1.. / D9 = 1  =>  1 pairs (_) / F9 = 1  =>  0 pairs (_)
A5,B6: 2.. / A5 = 2  =>  1 pairs (_) / B6 = 2  =>  2 pairs (_)
B6,H6: 2.. / B6 = 2  =>  2 pairs (_) / H6 = 2  =>  1 pairs (_)
B1,B6: 2.. / B1 = 2  =>  1 pairs (_) / B6 = 2  =>  2 pairs (_)
G4,I4: 3.. / G4 = 3  =>  2 pairs (_) / I4 = 3  =>  0 pairs (_)
A7,A8: 3.. / A7 = 3  =>  1 pairs (_) / A8 = 3  =>  1 pairs (_)
H1,I2: 4.. / H1 = 4  =>  2 pairs (_) / I2 = 4  =>  0 pairs (_)
A4,B4: 4.. / A4 = 4  =>  2 pairs (_) / B4 = 4  =>  3 pairs (_)
D2,I2: 4.. / D2 = 4  =>  2 pairs (_) / I2 = 4  =>  0 pairs (_)
H1,H3: 6.. / H1 = 6  =>  0 pairs (_) / H3 = 6  =>  2 pairs (_)
E4,F4: 6.. / E4 = 6  =>  2 pairs (_) / F4 = 6  =>  0 pairs (_)
* DURATION: 0:00:08.862664  START: 19:18:55.094400  END: 19:19:03.957064 2020-12-23
* CP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A4,B4: 4.. / A4 = 4 ==>  2 pairs (_) / B4 = 4 ==>  3 pairs (_)
B1,B6: 2.. / B1 = 2 ==>  1 pairs (_) / B6 = 2 ==>  2 pairs (_)
B6,H6: 2.. / B6 = 2 ==>  2 pairs (_) / H6 = 2 ==>  1 pairs (_)
A5,B6: 2.. / A5 = 2 ==>  1 pairs (_) / B6 = 2 ==>  2 pairs (_)
A2,C2: 1.. / A2 = 1 ==>  2 pairs (_) / C2 = 1 ==>  1 pairs (_)
E4,F4: 6.. / E4 = 6 ==>  2 pairs (_) / F4 = 6 ==>  0 pairs (_)
H1,H3: 6.. / H1 = 6 ==>  0 pairs (_) / H3 = 6 ==>  2 pairs (_)
D2,I2: 4.. / D2 = 4 ==>  2 pairs (_) / I2 = 4 ==>  0 pairs (_)
H1,I2: 4.. / H1 = 4 ==>  2 pairs (_) / I2 = 4 ==>  0 pairs (_)
G4,I4: 3.. / G4 = 3 ==>  2 pairs (_) / I4 = 3 ==>  0 pairs (_)
G4,G5: 1.. / G4 = 1 ==>  0 pairs (_) / G5 = 1 ==>  2 pairs (_)
A7,A8: 3.. / A7 = 3 ==>  1 pairs (_) / A8 = 3 ==>  1 pairs (_)
D9,F9: 1.. / D9 = 1 ==>  1 pairs (_) / F9 = 1 ==>  0 pairs (_)
* DURATION: 0:02:17.307513  START: 19:19:03.957643  END: 19:21:21.265156 2020-12-23
* REASONING A2,C2: 1..
* DIS # A2: 1 # D2: 7,9 => CTR => D2: 4,5,6
* CNT   1 HDP CHAINS /  51 HYP OPENED
* REASONING H1,H3: 6..
* DIS # H3: 6 # D2: 7,9 => CTR => D2: 4,5,6
* CNT   1 HDP CHAINS /  42 HYP OPENED
* DCP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
A4,B4: 4.. / A4 = 4  =>  0 pairs (X) / B4 = 4 ==>  0 pairs (*)
* DURATION: 0:00:47.713529  START: 19:21:21.441715  END: 19:22:09.155244 2020-12-23
* REASONING A4,B4: 4..
* DIS # B4: 4 # F7: 3,4 # F9: 3,4 => CTR => F9: 1,5,6,7
* DIS # B4: 4 # I7: 3,4 # B1: 5,8 => CTR => B1: 2,9
* PRF # B4: 4 # I7: 3,4 + B1: 2,9 # B6: 5,8 => SOL
* STA # B4: 4 # I7: 3,4 + B1: 2,9 + B6: 5,8
* CNT   3 HDP CHAINS /  66 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

248052;12_12_03;dob;24;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A4,B4: 4..:

* INC # B4: 4 # F7: 3,4 => UNS
* INC # B4: 4 # I7: 3,4 => UNS
* INC # B4: 4 # B9: 5,7 => UNS
* INC # B4: 4 # C9: 5,7 => UNS
* INC # B4: 4 # E7: 5,7 => UNS
* INC # B4: 4 # F7: 5,7 => UNS
* INC # B4: 4 # B1: 5,7 => UNS
* INC # B4: 4 # B2: 5,7 => UNS
* INC # B4: 4 # D8: 3,4 => UNS
* INC # B4: 4 # F8: 3,4 => UNS
* INC # B4: 4 => UNS
* INC # A4: 4 # E7: 3,5 => UNS
* INC # A4: 4 # F7: 3,5 => UNS
* INC # A4: 4 # G8: 3,8 => UNS
* INC # A4: 4 # G8: 7,9 => UNS
* INC # A4: 4 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for B1,B6: 2..:

* INC # B6: 2 # A4: 1,8 => UNS
* INC # B6: 2 # C4: 1,8 => UNS
* INC # B6: 2 # C6: 1,8 => UNS
* INC # B6: 2 # F5: 1,8 => UNS
* INC # B6: 2 # G5: 1,8 => UNS
* INC # B6: 2 # A2: 1,8 => UNS
* INC # B6: 2 # A2: 5,6 => UNS
* INC # B6: 2 # G4: 8,9 => UNS
* INC # B6: 2 # H4: 8,9 => UNS
* INC # B6: 2 # I4: 8,9 => UNS
* INC # B6: 2 # G5: 8,9 => UNS
* INC # B6: 2 # I5: 8,9 => UNS
* INC # B6: 2 # C6: 8,9 => UNS
* INC # B6: 2 # E6: 8,9 => UNS
* INC # B6: 2 # F6: 8,9 => UNS
* INC # B6: 2 # H1: 8,9 => UNS
* INC # B6: 2 # H3: 8,9 => UNS
* INC # B6: 2 # H8: 8,9 => UNS
* INC # B6: 2 => UNS
* INC # B1: 2 # A1: 6,8 => UNS
* INC # B1: 2 # A2: 6,8 => UNS
* INC # B1: 2 # F3: 6,8 => UNS
* INC # B1: 2 # H3: 6,8 => UNS
* INC # B1: 2 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for B6,H6: 2..:

* INC # B6: 2 # A4: 1,8 => UNS
* INC # B6: 2 # C4: 1,8 => UNS
* INC # B6: 2 # C6: 1,8 => UNS
* INC # B6: 2 # F5: 1,8 => UNS
* INC # B6: 2 # G5: 1,8 => UNS
* INC # B6: 2 # A2: 1,8 => UNS
* INC # B6: 2 # A2: 5,6 => UNS
* INC # B6: 2 # G4: 8,9 => UNS
* INC # B6: 2 # H4: 8,9 => UNS
* INC # B6: 2 # I4: 8,9 => UNS
* INC # B6: 2 # G5: 8,9 => UNS
* INC # B6: 2 # I5: 8,9 => UNS
* INC # B6: 2 # C6: 8,9 => UNS
* INC # B6: 2 # E6: 8,9 => UNS
* INC # B6: 2 # F6: 8,9 => UNS
* INC # B6: 2 # H1: 8,9 => UNS
* INC # B6: 2 # H3: 8,9 => UNS
* INC # B6: 2 # H8: 8,9 => UNS
* INC # B6: 2 => UNS
* INC # H6: 2 # A1: 6,8 => UNS
* INC # H6: 2 # A2: 6,8 => UNS
* INC # H6: 2 # F3: 6,8 => UNS
* INC # H6: 2 # H3: 6,8 => UNS
* INC # H6: 2 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for A5,B6: 2..:

* INC # B6: 2 # A4: 1,8 => UNS
* INC # B6: 2 # C4: 1,8 => UNS
* INC # B6: 2 # C6: 1,8 => UNS
* INC # B6: 2 # F5: 1,8 => UNS
* INC # B6: 2 # G5: 1,8 => UNS
* INC # B6: 2 # A2: 1,8 => UNS
* INC # B6: 2 # A2: 5,6 => UNS
* INC # B6: 2 # G4: 8,9 => UNS
* INC # B6: 2 # H4: 8,9 => UNS
* INC # B6: 2 # I4: 8,9 => UNS
* INC # B6: 2 # G5: 8,9 => UNS
* INC # B6: 2 # I5: 8,9 => UNS
* INC # B6: 2 # C6: 8,9 => UNS
* INC # B6: 2 # E6: 8,9 => UNS
* INC # B6: 2 # F6: 8,9 => UNS
* INC # B6: 2 # H1: 8,9 => UNS
* INC # B6: 2 # H3: 8,9 => UNS
* INC # B6: 2 # H8: 8,9 => UNS
* INC # B6: 2 => UNS
* INC # A5: 2 # A1: 6,8 => UNS
* INC # A5: 2 # A2: 6,8 => UNS
* INC # A5: 2 # F3: 6,8 => UNS
* INC # A5: 2 # H3: 6,8 => UNS
* INC # A5: 2 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for A2,C2: 1..:

* INC # A2: 1 # D1: 7,9 => UNS
* INC # A2: 1 # E1: 7,9 => UNS
* INC # A2: 1 # F1: 7,9 => UNS
* DIS # A2: 1 # D2: 7,9 => CTR => D2: 4,5,6
* INC # A2: 1 + D2: 4,5,6 # E2: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # F3: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # H3: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # I3: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # D5: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # D8: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # D1: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # E1: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # F1: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # E2: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # F3: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # H3: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # I3: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # D5: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # D8: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # B6: 2,8 => UNS
* INC # A2: 1 + D2: 4,5,6 # B6: 5,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # G5: 2,8 => UNS
* INC # A2: 1 + D2: 4,5,6 # I5: 2,8 => UNS
* INC # A2: 1 + D2: 4,5,6 # A1: 2,8 => UNS
* INC # A2: 1 + D2: 4,5,6 # A3: 2,8 => UNS
* INC # A2: 1 + D2: 4,5,6 # D1: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # E1: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # F1: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # E2: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # F3: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # H3: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # I3: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # D5: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # D8: 7,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # B6: 2,8 => UNS
* INC # A2: 1 + D2: 4,5,6 # B6: 5,9 => UNS
* INC # A2: 1 + D2: 4,5,6 # G5: 2,8 => UNS
* INC # A2: 1 + D2: 4,5,6 # I5: 2,8 => UNS
* INC # A2: 1 + D2: 4,5,6 # A1: 2,8 => UNS
* INC # A2: 1 + D2: 4,5,6 # A3: 2,8 => UNS
* INC # A2: 1 + D2: 4,5,6 => UNS
* INC # C2: 1 # E4: 7,9 => UNS
* INC # C2: 1 # F4: 7,9 => UNS
* INC # C2: 1 # F5: 7,9 => UNS
* INC # C2: 1 # G5: 7,9 => UNS
* INC # C2: 1 # I5: 7,9 => UNS
* INC # C2: 1 # D1: 7,9 => UNS
* INC # C2: 1 # D2: 7,9 => UNS
* INC # C2: 1 # D3: 7,9 => UNS
* INC # C2: 1 # D8: 7,9 => UNS
* INC # C2: 1 => UNS
* CNT  51 HDP CHAINS /  51 HYP OPENED

Full list of HDP chains traversed for E4,F4: 6..:

* INC # E4: 6 => UNS
* INC # F4: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

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

* INC # H3: 6 # A1: 2,8 => UNS
* INC # H3: 6 # B1: 2,8 => UNS
* INC # H3: 6 # I3: 2,8 => UNS
* INC # H3: 6 # I3: 7,9 => UNS
* INC # H3: 6 # A5: 2,8 => UNS
* INC # H3: 6 # A5: 1 => UNS
* INC # H3: 6 # D1: 7,9 => UNS
* INC # H3: 6 # E1: 7,9 => UNS
* INC # H3: 6 # F1: 7,9 => UNS
* DIS # H3: 6 # D2: 7,9 => CTR => D2: 4,5,6
* INC # H3: 6 + D2: 4,5,6 # E2: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # F3: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # I3: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # I3: 2,8 => UNS
* INC # H3: 6 + D2: 4,5,6 # D5: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # D8: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # D1: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # E1: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # F1: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # E2: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # F3: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # I3: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # I3: 2,8 => UNS
* INC # H3: 6 + D2: 4,5,6 # D5: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # D8: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # A1: 2,8 => UNS
* INC # H3: 6 + D2: 4,5,6 # B1: 2,8 => UNS
* INC # H3: 6 + D2: 4,5,6 # I3: 2,8 => UNS
* INC # H3: 6 + D2: 4,5,6 # I3: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # A5: 2,8 => UNS
* INC # H3: 6 + D2: 4,5,6 # A5: 1 => UNS
* INC # H3: 6 + D2: 4,5,6 # D1: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # E1: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # F1: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # E2: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # F3: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # I3: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # I3: 2,8 => UNS
* INC # H3: 6 + D2: 4,5,6 # D5: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 # D8: 7,9 => UNS
* INC # H3: 6 + D2: 4,5,6 => UNS
* INC # H1: 6 => UNS
* CNT  42 HDP CHAINS /  42 HYP OPENED

Full list of HDP chains traversed for D2,I2: 4..:

* INC # D2: 4 # A1: 2,8 => UNS
* INC # D2: 4 # B1: 2,8 => UNS
* INC # D2: 4 # I3: 2,8 => UNS
* INC # D2: 4 # I3: 7,9 => UNS
* INC # D2: 4 # A5: 2,8 => UNS
* INC # D2: 4 # A5: 1 => UNS
* INC # D2: 4 # D1: 7,9 => UNS
* INC # D2: 4 # E1: 7,9 => UNS
* INC # D2: 4 # F1: 7,9 => UNS
* INC # D2: 4 # E2: 7,9 => UNS
* INC # D2: 4 # F3: 7,9 => UNS
* INC # D2: 4 # I3: 7,9 => UNS
* INC # D2: 4 # I3: 2,8 => UNS
* INC # D2: 4 # D5: 7,9 => UNS
* INC # D2: 4 # D8: 7,9 => UNS
* INC # D2: 4 => UNS
* INC # I2: 4 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for H1,I2: 4..:

* INC # H1: 4 # A1: 2,8 => UNS
* INC # H1: 4 # B1: 2,8 => UNS
* INC # H1: 4 # I3: 2,8 => UNS
* INC # H1: 4 # I3: 7,9 => UNS
* INC # H1: 4 # A5: 2,8 => UNS
* INC # H1: 4 # A5: 1 => UNS
* INC # H1: 4 # D1: 7,9 => UNS
* INC # H1: 4 # E1: 7,9 => UNS
* INC # H1: 4 # F1: 7,9 => UNS
* INC # H1: 4 # E2: 7,9 => UNS
* INC # H1: 4 # F3: 7,9 => UNS
* INC # H1: 4 # I3: 7,9 => UNS
* INC # H1: 4 # I3: 2,8 => UNS
* INC # H1: 4 # D5: 7,9 => UNS
* INC # H1: 4 # D8: 7,9 => UNS
* INC # H1: 4 => UNS
* INC # I2: 4 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for G4,I4: 3..:

* INC # G4: 3 # B6: 2,8 => UNS
* INC # G4: 3 # B6: 5,9 => UNS
* INC # G4: 3 # I5: 2,8 => UNS
* INC # G4: 3 # I5: 7,9 => UNS
* INC # G4: 3 # A1: 2,8 => UNS
* INC # G4: 3 # A3: 2,8 => UNS
* INC # G4: 3 # E4: 7,9 => UNS
* INC # G4: 3 # F4: 7,9 => UNS
* INC # G4: 3 # F5: 7,9 => UNS
* INC # G4: 3 # I5: 7,9 => UNS
* INC # G4: 3 # I5: 2,8 => UNS
* INC # G4: 3 # D1: 7,9 => UNS
* INC # G4: 3 # D2: 7,9 => UNS
* INC # G4: 3 # D3: 7,9 => UNS
* INC # G4: 3 # D8: 7,9 => UNS
* INC # G4: 3 => UNS
* INC # I4: 3 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for G4,G5: 1..:

* INC # G5: 1 # B6: 2,8 => UNS
* INC # G5: 1 # B6: 5,9 => UNS
* INC # G5: 1 # I5: 2,8 => UNS
* INC # G5: 1 # I5: 7,9 => UNS
* INC # G5: 1 # A1: 2,8 => UNS
* INC # G5: 1 # A3: 2,8 => UNS
* INC # G5: 1 # E4: 7,9 => UNS
* INC # G5: 1 # F4: 7,9 => UNS
* INC # G5: 1 # F5: 7,9 => UNS
* INC # G5: 1 # I5: 7,9 => UNS
* INC # G5: 1 # I5: 2,8 => UNS
* INC # G5: 1 # D1: 7,9 => UNS
* INC # G5: 1 # D2: 7,9 => UNS
* INC # G5: 1 # D3: 7,9 => UNS
* INC # G5: 1 # D8: 7,9 => UNS
* INC # G5: 1 => UNS
* INC # G4: 1 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for A7,A8: 3..:

* INC # A7: 3 # B9: 4,8 => UNS
* INC # A7: 3 # B9: 5,7 => UNS
* INC # A7: 3 # H8: 4,8 => UNS
* INC # A7: 3 # H8: 7,9 => UNS
* INC # A7: 3 # A4: 4,8 => UNS
* INC # A7: 3 # A4: 1,5 => UNS
* INC # A7: 3 => UNS
* INC # A8: 3 # B7: 4,5 => UNS
* INC # A8: 3 # B9: 4,5 => UNS
* INC # A8: 3 # F7: 4,5 => UNS
* INC # A8: 3 # F7: 3,7,9 => UNS
* INC # A8: 3 # A4: 4,5 => UNS
* INC # A8: 3 # A4: 1,8 => UNS
* INC # A8: 3 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for D9,F9: 1..:

* INC # D9: 1 # E4: 7,9 => UNS
* INC # D9: 1 # F4: 7,9 => UNS
* INC # D9: 1 # F5: 7,9 => UNS
* INC # D9: 1 # G5: 7,9 => UNS
* INC # D9: 1 # I5: 7,9 => UNS
* INC # D9: 1 # D1: 7,9 => UNS
* INC # D9: 1 # D2: 7,9 => UNS
* INC # D9: 1 # D3: 7,9 => UNS
* INC # D9: 1 # D8: 7,9 => UNS
* INC # D9: 1 => UNS
* INC # F9: 1 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for A4,B4: 4..:

* INC # B4: 4 # F7: 3,4 => UNS
* INC # B4: 4 # I7: 3,4 => UNS
* INC # B4: 4 # B9: 5,7 => UNS
* INC # B4: 4 # C9: 5,7 => UNS
* INC # B4: 4 # E7: 5,7 => UNS
* INC # B4: 4 # F7: 5,7 => UNS
* INC # B4: 4 # B1: 5,7 => UNS
* INC # B4: 4 # B2: 5,7 => UNS
* INC # B4: 4 # D8: 3,4 => UNS
* INC # B4: 4 # F8: 3,4 => UNS
* INC # B4: 4 # F7: 3,4 # B9: 5,7 => UNS
* INC # B4: 4 # F7: 3,4 # C9: 5,7 => UNS
* INC # B4: 4 # F7: 3,4 # E7: 5,7 => UNS
* INC # B4: 4 # F7: 3,4 # E7: 9 => UNS
* INC # B4: 4 # F7: 3,4 # B1: 5,7 => UNS
* INC # B4: 4 # F7: 3,4 # B2: 5,7 => UNS
* INC # B4: 4 # F7: 3,4 # D8: 3,4 => UNS
* INC # B4: 4 # F7: 3,4 # F8: 3,4 => UNS
* INC # B4: 4 # F7: 3,4 # D8: 3,4 => UNS
* INC # B4: 4 # F7: 3,4 # F8: 3,4 => UNS
* INC # B4: 4 # F7: 3,4 # D9: 3,4 => UNS
* DIS # B4: 4 # F7: 3,4 # F9: 3,4 => CTR => F9: 1,5,6,7
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # F1: 3,4 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # F1: 5,6,7,8,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # D8: 3,4 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # F8: 3,4 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # D9: 3,4 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # F1: 3,4 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # F1: 5,6,7,8,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # G8: 7,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # H8: 7,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # E7: 7,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # E7: 5 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # I2: 7,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # I3: 7,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # I4: 7,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # I5: 7,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # B9: 5,7 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # C9: 5,7 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # E7: 5,7 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # E7: 9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # B1: 5,7 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # B2: 5,7 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # D8: 3,4 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # F8: 3,4 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # D8: 3,4 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # F8: 3,4 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # D9: 3,4 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # F1: 3,4 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # F1: 5,6,7,8,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # G8: 7,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # H8: 7,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # E7: 7,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # E7: 5 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # I2: 7,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # I3: 7,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # I4: 7,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 # I5: 7,9 => UNS
* INC # B4: 4 # F7: 3,4 + F9: 1,5,6,7 => UNS
* INC # B4: 4 # I7: 3,4 # D8: 3,4 => UNS
* INC # B4: 4 # I7: 3,4 # F8: 3,4 => UNS
* DIS # B4: 4 # I7: 3,4 # B1: 5,8 => CTR => B1: 2,9
* INC # B4: 4 # I7: 3,4 + B1: 2,9 # B2: 5,8 => UNS
* PRF # B4: 4 # I7: 3,4 + B1: 2,9 # B6: 5,8 => SOL
* STA # B4: 4 # I7: 3,4 + B1: 2,9 + B6: 5,8
* CNT  64 HDP CHAINS /  66 HYP OPENED