Analysis of xx-ph-00032967-2012_04-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 9..8..7...8.....6...5.4....7......9..6.3..8.......2..4.3.7..9....2.1.........5..1 initial

Autosolve

position: 9..8..7...8.....6...5.4....7......9..6.3..8.......2..4.3.7..9....2.1.........5..1 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

Time used: 0:00:00.000007

List of important HDP chains detected for C2,C9: 7..:

* DIS # C2: 7 # A3: 1,2 => CTR => A3: 3,6
* CNT   1 HDP CHAINS /  36 HYP OPENED

List of important HDP chains detected for B3,F3: 7..:

* DIS # F3: 7 # A3: 1,2 => CTR => A3: 3,6
* CNT   1 HDP CHAINS /  36 HYP OPENED

List of important HDP chains detected for C2,B3: 7..:

* DIS # C2: 7 # A3: 1,2 => CTR => A3: 3,6
* CNT   1 HDP CHAINS /  36 HYP OPENED

List of important HDP chains detected for I5,I8: 7..:

* DIS # I8: 7 # I4: 2,5 => CTR => I4: 3,6
* CNT   1 HDP CHAINS /  30 HYP OPENED

List of important HDP chains detected for E6,H6: 7..:

* DIS # H6: 7 # I4: 2,5 => CTR => I4: 3,6
* CNT   1 HDP CHAINS /  30 HYP OPENED

List of important HDP chains detected for C1,A3: 6..:

* DIS # C1: 6 # F3: 1,3 => CTR => F3: 6,7,9
* DIS # A3: 6 # A7: 4,8 => CTR => A7: 1,5
* CNT   2 HDP CHAINS /  25 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: 0:00:15.228061

List of important HDP chains detected for C2,C9: 7..:

* DIS # C9: 7 # B4: 1,5 # C1: 1,3 => CTR => C1: 6
* PRF # C9: 7 # B4: 1,5 + C1: 6 => SOL
* STA # C9: 7 + B4: 1,5
* CNT   2 HDP CHAINS /  13 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

9..8..7...8.....6...5.4....7......9..6.3..8.......2..4.3.7..9....2.1.........5..1 initial
9..8..7...8.....6...5.4....7......9..6.3..8.......2..4.3.7..9....2.1.........5..1 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A7,C7: 1.. / A7 = 1  =>  0 pairs (_) / C7 = 1  =>  1 pairs (_)
B4,A5: 2.. / B4 = 2  =>  2 pairs (_) / A5 = 2  =>  1 pairs (_)
F8,E9: 3.. / F8 = 3  =>  1 pairs (_) / E9 = 3  =>  0 pairs (_)
H1,G2: 4.. / H1 = 4  =>  1 pairs (_) / G2 = 4  =>  0 pairs (_)
C1,A3: 6.. / C1 = 6  =>  1 pairs (_) / A3 = 6  =>  1 pairs (_)
C2,B3: 7.. / C2 = 7  =>  1 pairs (_) / B3 = 7  =>  2 pairs (_)
B3,F3: 7.. / B3 = 7  =>  2 pairs (_) / F3 = 7  =>  1 pairs (_)
E6,H6: 7.. / E6 = 7  =>  1 pairs (_) / H6 = 7  =>  1 pairs (_)
C2,C9: 7.. / C2 = 7  =>  1 pairs (_) / C9 = 7  =>  2 pairs (_)
I5,I8: 7.. / I5 = 7  =>  1 pairs (_) / I8 = 7  =>  1 pairs (_)
H3,I3: 8.. / H3 = 8  =>  0 pairs (_) / I3 = 8  =>  0 pairs (_)
I2,I3: 9.. / I2 = 9  =>  0 pairs (_) / I3 = 9  =>  0 pairs (_)
* DURATION: 0:00:07.235115  START: 12:09:47.306451  END: 12:09:54.541566 2020-10-20
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C2,C9: 7.. / C2 = 7 ==>  2 pairs (_) / C9 = 7 ==>  2 pairs (_)
B3,F3: 7.. / B3 = 7 ==>  2 pairs (_) / F3 = 7 ==>  2 pairs (_)
C2,B3: 7.. / C2 = 7 ==>  2 pairs (_) / B3 = 7 ==>  2 pairs (_)
B4,A5: 2.. / B4 = 2 ==>  2 pairs (_) / A5 = 2 ==>  1 pairs (_)
I5,I8: 7.. / I5 = 7 ==>  1 pairs (_) / I8 = 7 ==>  2 pairs (_)
E6,H6: 7.. / E6 = 7 ==>  1 pairs (_) / H6 = 7 ==>  2 pairs (_)
C1,A3: 6.. / C1 = 6 ==>  1 pairs (_) / A3 = 6 ==>  2 pairs (_)
H1,G2: 4.. / H1 = 4 ==>  1 pairs (_) / G2 = 4 ==>  0 pairs (_)
F8,E9: 3.. / F8 = 3 ==>  1 pairs (_) / E9 = 3 ==>  0 pairs (_)
A7,C7: 1.. / A7 = 1 ==>  0 pairs (_) / C7 = 1 ==>  1 pairs (_)
I2,I3: 9.. / I2 = 9 ==>  0 pairs (_) / I3 = 9 ==>  0 pairs (_)
H3,I3: 8.. / H3 = 8 ==>  0 pairs (_) / I3 = 8 ==>  0 pairs (_)
* DURATION: 0:01:44.655123  START: 12:09:54.542189  END: 12:11:39.197312 2020-10-20
* REASONING C2,C9: 7..
* DIS # C2: 7 # A3: 1,2 => CTR => A3: 3,6
* CNT   1 HDP CHAINS /  36 HYP OPENED
* REASONING B3,F3: 7..
* DIS # F3: 7 # A3: 1,2 => CTR => A3: 3,6
* CNT   1 HDP CHAINS /  36 HYP OPENED
* REASONING C2,B3: 7..
* DIS # C2: 7 # A3: 1,2 => CTR => A3: 3,6
* CNT   1 HDP CHAINS /  36 HYP OPENED
* REASONING I5,I8: 7..
* DIS # I8: 7 # I4: 2,5 => CTR => I4: 3,6
* CNT   1 HDP CHAINS /  30 HYP OPENED
* REASONING E6,H6: 7..
* DIS # H6: 7 # I4: 2,5 => CTR => I4: 3,6
* CNT   1 HDP CHAINS /  30 HYP OPENED
* REASONING C1,A3: 6..
* DIS # C1: 6 # F3: 1,3 => CTR => F3: 6,7,9
* DIS # A3: 6 # A7: 4,8 => CTR => A7: 1,5
* CNT   2 HDP CHAINS /  25 HYP OPENED
* DCP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
C2,C9: 7.. / C2 = 7  =>  0 pairs (X) / C9 = 7 ==>  0 pairs (*)
* DURATION: 0:00:15.226462  START: 12:11:39.338595  END: 12:11:54.565057 2020-10-20
* REASONING C2,C9: 7..
* DIS # C9: 7 # B4: 1,5 # C1: 1,3 => CTR => C1: 6
* PRF # C9: 7 # B4: 1,5 + C1: 6 => SOL
* STA # C9: 7 + B4: 1,5
* CNT   2 HDP CHAINS /  13 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

32967;2012_04;GP;21;11.40;11.40;10.40

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C2,C9: 7..:

* INC # C9: 7 # B4: 1,5 => UNS
* INC # C9: 7 # A5: 1,5 => UNS
* INC # C9: 7 # A6: 1,5 => UNS
* INC # C9: 7 # D6: 1,5 => UNS
* INC # C9: 7 # G6: 1,5 => UNS
* INC # C9: 7 # H6: 1,5 => UNS
* INC # C9: 7 # B8: 4,9 => UNS
* INC # C9: 7 # B8: 5 => UNS
* INC # C9: 7 # D9: 4,9 => UNS
* INC # C9: 7 # D9: 2,6 => UNS
* INC # C9: 7 => UNS
* INC # C2: 7 # B1: 1,2 => UNS
* INC # C2: 7 # A2: 1,2 => UNS
* DIS # C2: 7 # A3: 1,2 => CTR => A3: 3,6
* INC # C2: 7 + A3: 3,6 # D3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # G3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # H3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # B4: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # B4: 4,5 => UNS
* INC # C2: 7 + A3: 3,6 # B1: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # A2: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # D3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # G3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # H3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # B4: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # B4: 4,5 => UNS
* INC # C2: 7 + A3: 3,6 # C1: 3,6 => UNS
* INC # C2: 7 + A3: 3,6 # C1: 1,4 => UNS
* INC # C2: 7 + A3: 3,6 # B1: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # A2: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # D3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # G3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # H3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # B4: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # B4: 4,5 => UNS
* INC # C2: 7 + A3: 3,6 => UNS
* CNT  36 HDP CHAINS /  36 HYP OPENED

Full list of HDP chains traversed for B3,F3: 7..:

* INC # B3: 7 # B4: 1,5 => UNS
* INC # B3: 7 # A5: 1,5 => UNS
* INC # B3: 7 # A6: 1,5 => UNS
* INC # B3: 7 # D6: 1,5 => UNS
* INC # B3: 7 # G6: 1,5 => UNS
* INC # B3: 7 # H6: 1,5 => UNS
* INC # B3: 7 # B8: 4,9 => UNS
* INC # B3: 7 # B8: 5 => UNS
* INC # B3: 7 # D9: 4,9 => UNS
* INC # B3: 7 # D9: 2,6 => UNS
* INC # B3: 7 => UNS
* INC # F3: 7 # B1: 1,2 => UNS
* INC # F3: 7 # A2: 1,2 => UNS
* DIS # F3: 7 # A3: 1,2 => CTR => A3: 3,6
* INC # F3: 7 + A3: 3,6 # D3: 1,2 => UNS
* INC # F3: 7 + A3: 3,6 # G3: 1,2 => UNS
* INC # F3: 7 + A3: 3,6 # H3: 1,2 => UNS
* INC # F3: 7 + A3: 3,6 # B4: 1,2 => UNS
* INC # F3: 7 + A3: 3,6 # B4: 4,5 => UNS
* INC # F3: 7 + A3: 3,6 # B1: 1,2 => UNS
* INC # F3: 7 + A3: 3,6 # A2: 1,2 => UNS
* INC # F3: 7 + A3: 3,6 # D3: 1,2 => UNS
* INC # F3: 7 + A3: 3,6 # G3: 1,2 => UNS
* INC # F3: 7 + A3: 3,6 # H3: 1,2 => UNS
* INC # F3: 7 + A3: 3,6 # B4: 1,2 => UNS
* INC # F3: 7 + A3: 3,6 # B4: 4,5 => UNS
* INC # F3: 7 + A3: 3,6 # C1: 3,6 => UNS
* INC # F3: 7 + A3: 3,6 # C1: 1,4 => UNS
* INC # F3: 7 + A3: 3,6 # B1: 1,2 => UNS
* INC # F3: 7 + A3: 3,6 # A2: 1,2 => UNS
* INC # F3: 7 + A3: 3,6 # D3: 1,2 => UNS
* INC # F3: 7 + A3: 3,6 # G3: 1,2 => UNS
* INC # F3: 7 + A3: 3,6 # H3: 1,2 => UNS
* INC # F3: 7 + A3: 3,6 # B4: 1,2 => UNS
* INC # F3: 7 + A3: 3,6 # B4: 4,5 => UNS
* INC # F3: 7 + A3: 3,6 => UNS
* CNT  36 HDP CHAINS /  36 HYP OPENED

Full list of HDP chains traversed for C2,B3: 7..:

* INC # B3: 7 # B4: 1,5 => UNS
* INC # B3: 7 # A5: 1,5 => UNS
* INC # B3: 7 # A6: 1,5 => UNS
* INC # B3: 7 # D6: 1,5 => UNS
* INC # B3: 7 # G6: 1,5 => UNS
* INC # B3: 7 # H6: 1,5 => UNS
* INC # B3: 7 # B8: 4,9 => UNS
* INC # B3: 7 # B8: 5 => UNS
* INC # B3: 7 # D9: 4,9 => UNS
* INC # B3: 7 # D9: 2,6 => UNS
* INC # B3: 7 => UNS
* INC # C2: 7 # B1: 1,2 => UNS
* INC # C2: 7 # A2: 1,2 => UNS
* DIS # C2: 7 # A3: 1,2 => CTR => A3: 3,6
* INC # C2: 7 + A3: 3,6 # D3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # G3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # H3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # B4: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # B4: 4,5 => UNS
* INC # C2: 7 + A3: 3,6 # B1: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # A2: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # D3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # G3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # H3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # B4: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # B4: 4,5 => UNS
* INC # C2: 7 + A3: 3,6 # C1: 3,6 => UNS
* INC # C2: 7 + A3: 3,6 # C1: 1,4 => UNS
* INC # C2: 7 + A3: 3,6 # B1: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # A2: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # D3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # G3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # H3: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # B4: 1,2 => UNS
* INC # C2: 7 + A3: 3,6 # B4: 4,5 => UNS
* INC # C2: 7 + A3: 3,6 => UNS
* CNT  36 HDP CHAINS /  36 HYP OPENED

Full list of HDP chains traversed for B4,A5: 2..:

* INC # B4: 2 # C1: 1,4 => UNS
* INC # B4: 2 # A2: 1,4 => UNS
* INC # B4: 2 # C2: 1,4 => UNS
* INC # B4: 2 # H1: 1,4 => UNS
* INC # B4: 2 # H1: 2,3,5 => UNS
* INC # B4: 2 # C2: 1,7 => UNS
* INC # B4: 2 # C2: 3,4 => UNS
* INC # B4: 2 # F3: 1,7 => UNS
* INC # B4: 2 # F3: 3,6,9 => UNS
* INC # B4: 2 => UNS
* INC # A5: 2 # H5: 5,7 => UNS
* INC # A5: 2 # H6: 5,7 => UNS
* INC # A5: 2 # E5: 5,7 => UNS
* INC # A5: 2 # E5: 9 => UNS
* INC # A5: 2 # I8: 5,7 => UNS
* INC # A5: 2 # I8: 3,6,8 => UNS
* INC # A5: 2 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for I5,I8: 7..:

* INC # I5: 7 # D6: 5,9 => UNS
* INC # I5: 7 # D6: 1,6 => UNS
* INC # I5: 7 # E2: 5,9 => UNS
* INC # I5: 7 # E2: 2,3 => UNS
* INC # I5: 7 => UNS
* INC # I8: 7 # G4: 2,5 => UNS
* DIS # I8: 7 # I4: 2,5 => CTR => I4: 3,6
* INC # I8: 7 + I4: 3,6 # H5: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 # A5: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 # A5: 1,4 => UNS
* INC # I8: 7 + I4: 3,6 # I1: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 # I2: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 # I7: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 # G4: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 # H5: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 # A5: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 # A5: 1,4 => UNS
* INC # I8: 7 + I4: 3,6 # I1: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 # I2: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 # I7: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 # G4: 3,6 => UNS
* INC # I8: 7 + I4: 3,6 # G6: 3,6 => UNS
* INC # I8: 7 + I4: 3,6 # G4: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 # H5: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 # A5: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 # A5: 1,4 => UNS
* INC # I8: 7 + I4: 3,6 # I1: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 # I2: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 # I7: 2,5 => UNS
* INC # I8: 7 + I4: 3,6 => UNS
* CNT  30 HDP CHAINS /  30 HYP OPENED

Full list of HDP chains traversed for E6,H6: 7..:

* INC # E6: 7 # D6: 5,9 => UNS
* INC # E6: 7 # D6: 1,6 => UNS
* INC # E6: 7 # E2: 5,9 => UNS
* INC # E6: 7 # E2: 2,3 => UNS
* INC # E6: 7 => UNS
* INC # H6: 7 # G4: 2,5 => UNS
* DIS # H6: 7 # I4: 2,5 => CTR => I4: 3,6
* INC # H6: 7 + I4: 3,6 # H5: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 # A5: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 # A5: 1,4 => UNS
* INC # H6: 7 + I4: 3,6 # I1: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 # I2: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 # I7: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 # G4: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 # H5: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 # A5: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 # A5: 1,4 => UNS
* INC # H6: 7 + I4: 3,6 # I1: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 # I2: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 # I7: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 # G4: 3,6 => UNS
* INC # H6: 7 + I4: 3,6 # G6: 3,6 => UNS
* INC # H6: 7 + I4: 3,6 # G4: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 # H5: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 # A5: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 # A5: 1,4 => UNS
* INC # H6: 7 + I4: 3,6 # I1: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 # I2: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 # I7: 2,5 => UNS
* INC # H6: 7 + I4: 3,6 => UNS
* CNT  30 HDP CHAINS /  30 HYP OPENED

Full list of HDP chains traversed for C1,A3: 6..:

* INC # C1: 6 # F2: 1,3 => UNS
* DIS # C1: 6 # F3: 1,3 => CTR => F3: 6,7,9
* INC # C1: 6 + F3: 6,7,9 # F2: 1,3 => UNS
* INC # C1: 6 + F3: 6,7,9 # F2: 7,9 => UNS
* INC # C1: 6 + F3: 6,7,9 # H1: 1,3 => UNS
* INC # C1: 6 + F3: 6,7,9 # H1: 2,4,5 => UNS
* INC # C1: 6 + F3: 6,7,9 # F2: 1,3 => UNS
* INC # C1: 6 + F3: 6,7,9 # F2: 7,9 => UNS
* INC # C1: 6 + F3: 6,7,9 # H1: 1,3 => UNS
* INC # C1: 6 + F3: 6,7,9 # H1: 2,4,5 => UNS
* INC # C1: 6 + F3: 6,7,9 => UNS
* DIS # A3: 6 # A7: 4,8 => CTR => A7: 1,5
* INC # A3: 6 + A7: 1,5 # C7: 4,8 => UNS
* INC # A3: 6 + A7: 1,5 # A8: 4,8 => UNS
* INC # A3: 6 + A7: 1,5 # C9: 4,8 => UNS
* INC # A3: 6 + A7: 1,5 # H9: 4,8 => UNS
* INC # A3: 6 + A7: 1,5 # H9: 2,3,7 => UNS
* INC # A3: 6 + A7: 1,5 # A5: 1,5 => UNS
* INC # A3: 6 + A7: 1,5 # A6: 1,5 => UNS
* INC # A3: 6 + A7: 1,5 # C7: 4,8 => UNS
* INC # A3: 6 + A7: 1,5 # A8: 4,8 => UNS
* INC # A3: 6 + A7: 1,5 # C9: 4,8 => UNS
* INC # A3: 6 + A7: 1,5 # H9: 4,8 => UNS
* INC # A3: 6 + A7: 1,5 # H9: 2,3,7 => UNS
* INC # A3: 6 + A7: 1,5 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for H1,G2: 4..:

* INC # H1: 4 # A2: 1,2 => UNS
* INC # H1: 4 # A3: 1,2 => UNS
* INC # H1: 4 # B3: 1,2 => UNS
* INC # H1: 4 # B4: 1,2 => UNS
* INC # H1: 4 # B4: 4,5 => UNS
* INC # H1: 4 => UNS
* INC # G2: 4 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

Full list of HDP chains traversed for F8,E9: 3..:

* INC # F8: 3 # D3: 1,6 => UNS
* INC # F8: 3 # F3: 1,6 => UNS
* INC # F8: 3 # C1: 1,6 => UNS
* INC # F8: 3 # C1: 3,4 => UNS
* INC # F8: 3 # F4: 1,6 => UNS
* INC # F8: 3 # F4: 4,8 => UNS
* INC # F8: 3 => UNS
* INC # E9: 3 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for A7,C7: 1..:

* INC # C7: 1 # F5: 4,9 => UNS
* INC # C7: 1 # F5: 1,7 => UNS
* INC # C7: 1 # C9: 4,9 => UNS
* INC # C7: 1 # C9: 6,7,8 => UNS
* INC # C7: 1 => UNS
* INC # A7: 1 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

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

* INC # I2: 9 => UNS
* INC # I3: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for H3,I3: 8..:

* INC # H3: 8 => UNS
* INC # I3: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for C2,C9: 7..:

* INC # C9: 7 # B4: 1,5 => UNS
* INC # C9: 7 # A5: 1,5 => UNS
* INC # C9: 7 # A6: 1,5 => UNS
* INC # C9: 7 # D6: 1,5 => UNS
* INC # C9: 7 # G6: 1,5 => UNS
* INC # C9: 7 # H6: 1,5 => UNS
* INC # C9: 7 # B8: 4,9 => UNS
* INC # C9: 7 # B8: 5 => UNS
* INC # C9: 7 # D9: 4,9 => UNS
* INC # C9: 7 # D9: 2,6 => UNS
* DIS # C9: 7 # B4: 1,5 # C1: 1,3 => CTR => C1: 6
* PRF # C9: 7 # B4: 1,5 + C1: 6 => SOL
* STA # C9: 7 + B4: 1,5
* CNT  12 HDP CHAINS /  13 HYP OPENED