Analysis of xx-ph-00028783-2011_12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..5...9..4...3..5..94......9..6....8....5..2..13....7.....725.......1....7 initial

Autosolve

position: 98.7..6..5...9..4...3..5..94......9..6....8....5..2..13....7.....725.......1....7 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: 0:00:07.532540

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

Time used: 0:00:00.000015

List of important HDP chains detected for C2,A3: 6..:

* DIS # A3: 6 # C1: 1,2 => CTR => C1: 4
* DIS # A3: 6 + C1: 4 # C4: 1,2 => CTR => C4: 8
* DIS # A3: 6 + C1: 4 + C4: 8 # C7: 1,2 => CTR => C7: 6,9
* DIS # A3: 6 + C1: 4 + C4: 8 + C7: 6,9 # C5: 9 => CTR => C5: 1,2
* DIS # A3: 6 + C1: 4 + C4: 8 + C7: 6,9 + C5: 1,2 # B2: 1,2 => CTR => B2: 7
* DIS # A3: 6 + C1: 4 + C4: 8 + C7: 6,9 + C5: 1,2 + B2: 7 # E3: 4,8 => CTR => E3: 1,2
* DIS # A3: 6 + C1: 4 + C4: 8 + C7: 6,9 + C5: 1,2 + B2: 7 + E3: 1,2 => CTR => A3: 1,2,7
* STA A3: 1,2,7
* CNT   7 HDP CHAINS /  16 HYP OPENED

List of important HDP chains detected for C4,A6: 8..:

* DIS # C4: 8 # B4: 1,2 => CTR => B4: 3
* DIS # C4: 8 + B4: 3 # C7: 1,2 => CTR => C7: 4,6,9
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 # E4: 1,6 => CTR => E4: 7
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 # I5: 3,4 => CTR => I5: 5
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 # B7: 1,4 => CTR => B7: 2,5
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 + B7: 2,5 # B3: 2,7 => CTR => B3: 1,4
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 + B7: 2,5 + B3: 1,4 # C1: 2 => CTR => C1: 1,4
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 + B7: 2,5 + B3: 1,4 + C1: 1,4 # F5: 3,4 => CTR => F5: 9
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 + B7: 2,5 + B3: 1,4 + C1: 1,4 + F5: 9 => CTR => C4: 1,2
* STA C4: 1,2
* CNT   9 HDP CHAINS /  32 HYP OPENED

List of important HDP chains detected for I2,H3: 8..:

* DIS # H3: 8 # I4: 2,3 => CTR => I4: 5,6
* CNT   1 HDP CHAINS /  53 HYP OPENED

List of important HDP chains detected for B2,G2: 7..:

* DIS # G2: 7 # C1: 1,2 => CTR => C1: 4
* CNT   1 HDP CHAINS /  53 HYP OPENED

List of important HDP chains detected for C1,B3: 4..:

* DIS # B3: 4 # B2: 1,2 => CTR => B2: 7
* DIS # B3: 4 + B2: 7 # C2: 1,2 => CTR => C2: 6
* DIS # B3: 4 + B2: 7 + C2: 6 # E1: 3,4 => CTR => E1: 1,2
* PRF # B3: 4 + B2: 7 + C2: 6 + E1: 1,2 # C4: 1,2 => SOL
* STA # B3: 4 + B2: 7 + C2: 6 + E1: 1,2 + C4: 1,2
* CNT   4 HDP CHAINS /   6 HYP OPENED

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

Details

This sudoku is deep. Here is some information that may be helpful on how to proceed.

Positions

98.7..6..5...9..4...3..5..94......9..6....8....5..2..13....7.....725.......1....7 initial
98.7..6..5...9..4...3..5..94......9..6....8....5..2..13....7.....725.......1....7 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
A6: 7,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E1,E3: 2.. / E1 = 2  =>  3 pairs (_) / E3 = 2  =>  2 pairs (_)
B4,B6: 3.. / B4 = 3  =>  2 pairs (_) / B6 = 3  =>  3 pairs (_)
C1,B3: 4.. / C1 = 4  =>  2 pairs (_) / B3 = 4  =>  4 pairs (_)
I5,G6: 4.. / I5 = 4  =>  2 pairs (_) / G6 = 4  =>  1 pairs (_)
H1,I1: 5.. / H1 = 5  =>  2 pairs (_) / I1 = 5  =>  1 pairs (_)
D4,D5: 5.. / D4 = 5  =>  1 pairs (_) / D5 = 5  =>  1 pairs (_)
B7,B9: 5.. / B7 = 5  =>  1 pairs (_) / B9 = 5  =>  1 pairs (_)
C2,A3: 6.. / C2 = 6  =>  2 pairs (_) / A3 = 6  =>  6 pairs (_)
I4,H6: 6.. / I4 = 6  =>  2 pairs (_) / H6 = 6  =>  1 pairs (_)
B2,G2: 7.. / B2 = 7  =>  2 pairs (_) / G2 = 7  =>  4 pairs (_)
I2,H3: 8.. / I2 = 8  =>  2 pairs (_) / H3 = 8  =>  4 pairs (_)
C4,A6: 8.. / C4 = 8  =>  4 pairs (_) / A6 = 8  =>  3 pairs (_)
C5,B6: 9.. / C5 = 9  =>  2 pairs (_) / B6 = 9  =>  3 pairs (_)
B6,D6: 9.. / B6 = 9  =>  3 pairs (_) / D6 = 9  =>  2 pairs (_)
* DURATION: 0:00:08.059153  START: 14:23:29.417576  END: 14:23:37.476729 2020-12-10
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C2,A3: 6.. / C2 = 6  =>  2 pairs (_) / A3 = 6 ==>  0 pairs (X)
C4,A6: 8.. / C4 = 8 ==>  0 pairs (X) / A6 = 8  =>  3 pairs (_)
I2,H3: 8.. / I2 = 8 ==>  2 pairs (_) / H3 = 8 ==>  5 pairs (_)
B2,G2: 7.. / B2 = 7 ==>  2 pairs (_) / G2 = 7 ==>  5 pairs (_)
C1,B3: 4.. / C1 = 4  =>  0 pairs (X) / B3 = 4 ==>  0 pairs (*)
* DURATION: 0:01:21.752677  START: 14:23:46.707120  END: 14:25:08.459797 2020-12-10
* REASONING C2,A3: 6..
* DIS # A3: 6 # C1: 1,2 => CTR => C1: 4
* DIS # A3: 6 + C1: 4 # C4: 1,2 => CTR => C4: 8
* DIS # A3: 6 + C1: 4 + C4: 8 # C7: 1,2 => CTR => C7: 6,9
* DIS # A3: 6 + C1: 4 + C4: 8 + C7: 6,9 # C5: 9 => CTR => C5: 1,2
* DIS # A3: 6 + C1: 4 + C4: 8 + C7: 6,9 + C5: 1,2 # B2: 1,2 => CTR => B2: 7
* DIS # A3: 6 + C1: 4 + C4: 8 + C7: 6,9 + C5: 1,2 + B2: 7 # E3: 4,8 => CTR => E3: 1,2
* DIS # A3: 6 + C1: 4 + C4: 8 + C7: 6,9 + C5: 1,2 + B2: 7 + E3: 1,2 => CTR => A3: 1,2,7
* STA A3: 1,2,7
* CNT   7 HDP CHAINS /  16 HYP OPENED
* REASONING C4,A6: 8..
* DIS # C4: 8 # B4: 1,2 => CTR => B4: 3
* DIS # C4: 8 + B4: 3 # C7: 1,2 => CTR => C7: 4,6,9
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 # E4: 1,6 => CTR => E4: 7
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 # I5: 3,4 => CTR => I5: 5
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 # B7: 1,4 => CTR => B7: 2,5
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 + B7: 2,5 # B3: 2,7 => CTR => B3: 1,4
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 + B7: 2,5 + B3: 1,4 # C1: 2 => CTR => C1: 1,4
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 + B7: 2,5 + B3: 1,4 + C1: 1,4 # F5: 3,4 => CTR => F5: 9
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 + B7: 2,5 + B3: 1,4 + C1: 1,4 + F5: 9 => CTR => C4: 1,2
* STA C4: 1,2
* CNT   9 HDP CHAINS /  32 HYP OPENED
* REASONING I2,H3: 8..
* DIS # H3: 8 # I4: 2,3 => CTR => I4: 5,6
* CNT   1 HDP CHAINS /  53 HYP OPENED
* REASONING B2,G2: 7..
* DIS # G2: 7 # C1: 1,2 => CTR => C1: 4
* CNT   1 HDP CHAINS /  53 HYP OPENED
* REASONING C1,B3: 4..
* DIS # B3: 4 # B2: 1,2 => CTR => B2: 7
* DIS # B3: 4 + B2: 7 # C2: 1,2 => CTR => C2: 6
* DIS # B3: 4 + B2: 7 + C2: 6 # E1: 3,4 => CTR => E1: 1,2
* PRF # B3: 4 + B2: 7 + C2: 6 + E1: 1,2 # C4: 1,2 => SOL
* STA # B3: 4 + B2: 7 + C2: 6 + E1: 1,2 + C4: 1,2
* CNT   4 HDP CHAINS /   6 HYP OPENED
* DCP COUNT: (5)
* SOLUTION FOUND

Header Info

28783;2011_12;GP;24;11.30;11.30;10.70

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # E6: 7,8 => UNS
* INC # E6: 3,4,6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # E6: 7,8 => UNS
* INC # E6: 3,4,6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # E6: 7,8 => UNS
* INC # E6: 3,4,6 => UNS
* INC # E6: 7,8 # D6: 3,9 => UNS
* INC # E6: 7,8 # D6: 4,6 => UNS
* INC # E6: 7,8 # E4: 7,8 => UNS
* INC # E6: 7,8 # E4: 1,3,6 => UNS
* INC # E6: 7,8 # I5: 3,4 => UNS
* INC # E6: 7,8 # I5: 2,5 => UNS
* INC # E6: 7,8 # D6: 3,4 => UNS
* INC # E6: 7,8 # D6: 6,9 => UNS
* INC # E6: 7,8 # G8: 3,4 => UNS
* INC # E6: 7,8 # G9: 3,4 => UNS
* INC # E6: 7,8 # I4: 3,6 => UNS
* INC # E6: 7,8 # I4: 2,5 => UNS
* INC # E6: 7,8 # D6: 3,6 => UNS
* INC # E6: 7,8 # D6: 4,9 => UNS
* INC # E6: 7,8 # H8: 3,6 => UNS
* INC # E6: 7,8 # H9: 3,6 => UNS
* INC # E6: 7,8 => UNS
* INC # E6: 3,4,6 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C2,A3: 6..:

* DIS # A3: 6 # C1: 1,2 => CTR => C1: 4
* INC # A3: 6 + C1: 4 # B2: 1,2 => UNS
* INC # A3: 6 + C1: 4 # B3: 1,2 => UNS
* INC # A3: 6 + C1: 4 # G2: 1,2 => UNS
* INC # A3: 6 + C1: 4 # G2: 3,7 => UNS
* DIS # A3: 6 + C1: 4 # C4: 1,2 => CTR => C4: 8
* INC # A3: 6 + C1: 4 + C4: 8 # C5: 1,2 => UNS
* DIS # A3: 6 + C1: 4 + C4: 8 # C7: 1,2 => CTR => C7: 6,9
* INC # A3: 6 + C1: 4 + C4: 8 + C7: 6,9 # C5: 1,2 => UNS
* DIS # A3: 6 + C1: 4 + C4: 8 + C7: 6,9 # C5: 9 => CTR => C5: 1,2
* DIS # A3: 6 + C1: 4 + C4: 8 + C7: 6,9 + C5: 1,2 # B2: 1,2 => CTR => B2: 7
* INC # A3: 6 + C1: 4 + C4: 8 + C7: 6,9 + C5: 1,2 + B2: 7 # G2: 1,2 => UNS
* INC # A3: 6 + C1: 4 + C4: 8 + C7: 6,9 + C5: 1,2 + B2: 7 # G2: 3 => UNS
* DIS # A3: 6 + C1: 4 + C4: 8 + C7: 6,9 + C5: 1,2 + B2: 7 # E3: 4,8 => CTR => E3: 1,2
* DIS # A3: 6 + C1: 4 + C4: 8 + C7: 6,9 + C5: 1,2 + B2: 7 + E3: 1,2 => CTR => A3: 1,2,7
* INC A3: 1,2,7 # C2: 6 => UNS
* STA A3: 1,2,7
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for C4,A6: 8..:

* DIS # C4: 8 # B4: 1,2 => CTR => B4: 3
* INC # C4: 8 + B4: 3 # A3: 1,2 => UNS
* INC # C4: 8 + B4: 3 # A3: 6 => UNS
* INC # C4: 8 + B4: 3 # I5: 3,4 => UNS
* INC # C4: 8 + B4: 3 # I5: 5 => UNS
* INC # C4: 8 + B4: 3 # D6: 3,4 => UNS
* INC # C4: 8 + B4: 3 # E6: 3,4 => UNS
* INC # C4: 8 + B4: 3 # G8: 3,4 => UNS
* INC # C4: 8 + B4: 3 # G9: 3,4 => UNS
* INC # C4: 8 + B4: 3 # D6: 3,6 => UNS
* INC # C4: 8 + B4: 3 # E6: 3,6 => UNS
* INC # C4: 8 + B4: 3 # H8: 3,6 => UNS
* INC # C4: 8 + B4: 3 # H9: 3,6 => UNS
* INC # C4: 8 + B4: 3 # A3: 1,2 => UNS
* INC # C4: 8 + B4: 3 # A3: 6 => UNS
* INC # C4: 8 + B4: 3 # C1: 1,2 => UNS
* INC # C4: 8 + B4: 3 # C2: 1,2 => UNS
* DIS # C4: 8 + B4: 3 # C7: 1,2 => CTR => C7: 4,6,9
* INC # C4: 8 + B4: 3 + C7: 4,6,9 # C1: 1,2 => UNS
* INC # C4: 8 + B4: 3 + C7: 4,6,9 # C2: 1,2 => UNS
* INC # C4: 8 + B4: 3 + C7: 4,6,9 # I4: 5,6 => UNS
* INC # C4: 8 + B4: 3 + C7: 4,6,9 # I4: 2 => UNS
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 # E4: 1,6 => CTR => E4: 7
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 # I5: 3,4 => CTR => I5: 5
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 # B7: 1,4 => CTR => B7: 2,5
* INC # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 + B7: 2,5 # B3: 1,4 => UNS
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 + B7: 2,5 # B3: 2,7 => CTR => B3: 1,4
* INC # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 + B7: 2,5 + B3: 1,4 # C1: 1,4 => UNS
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 + B7: 2,5 + B3: 1,4 # C1: 2 => CTR => C1: 1,4
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 + B7: 2,5 + B3: 1,4 + C1: 1,4 # F5: 3,4 => CTR => F5: 9
* DIS # C4: 8 + B4: 3 + C7: 4,6,9 + E4: 7 + I5: 5 + B7: 2,5 + B3: 1,4 + C1: 1,4 + F5: 9 => CTR => C4: 1,2
* INC C4: 1,2 # A6: 8 => UNS
* STA C4: 1,2
* CNT  32 HDP CHAINS /  32 HYP OPENED

Full list of HDP chains traversed for I2,H3: 8..:

* INC # H3: 8 # E3: 4,6 => UNS
* INC # H3: 8 # E3: 1,2 => UNS
* INC # H3: 8 # D6: 4,6 => UNS
* INC # H3: 8 # D7: 4,6 => UNS
* INC # H3: 8 # H1: 2,3 => UNS
* INC # H3: 8 # I1: 2,3 => UNS
* INC # H3: 8 # G2: 2,3 => UNS
* DIS # H3: 8 # I4: 2,3 => CTR => I4: 5,6
* INC # H3: 8 + I4: 5,6 # I5: 2,3 => UNS
* INC # H3: 8 + I4: 5,6 # I5: 2,3 => UNS
* INC # H3: 8 + I4: 5,6 # I5: 4,5 => UNS
* INC # H3: 8 + I4: 5,6 # H1: 2,3 => UNS
* INC # H3: 8 + I4: 5,6 # I1: 2,3 => UNS
* INC # H3: 8 + I4: 5,6 # G2: 2,3 => UNS
* INC # H3: 8 + I4: 5,6 # I5: 2,3 => UNS
* INC # H3: 8 + I4: 5,6 # I5: 4,5 => UNS
* INC # H3: 8 + I4: 5,6 # E6: 7,8 => UNS
* INC # H3: 8 + I4: 5,6 # E6: 3,4,6 => UNS
* INC # H3: 8 + I4: 5,6 # I5: 3,4 => UNS
* INC # H3: 8 + I4: 5,6 # I5: 2,5 => UNS
* INC # H3: 8 + I4: 5,6 # D6: 3,4 => UNS
* INC # H3: 8 + I4: 5,6 # E6: 3,4 => UNS
* INC # H3: 8 + I4: 5,6 # G8: 3,4 => UNS
* INC # H3: 8 + I4: 5,6 # G9: 3,4 => UNS
* INC # H3: 8 + I4: 5,6 # E3: 4,6 => UNS
* INC # H3: 8 + I4: 5,6 # E3: 1,2 => UNS
* INC # H3: 8 + I4: 5,6 # D6: 4,6 => UNS
* INC # H3: 8 + I4: 5,6 # D7: 4,6 => UNS
* INC # H3: 8 + I4: 5,6 # H1: 2,3 => UNS
* INC # H3: 8 + I4: 5,6 # I1: 2,3 => UNS
* INC # H3: 8 + I4: 5,6 # G2: 2,3 => UNS
* INC # H3: 8 + I4: 5,6 # I5: 2,3 => UNS
* INC # H3: 8 + I4: 5,6 # I5: 4,5 => UNS
* INC # H3: 8 + I4: 5,6 # E6: 7,8 => UNS
* INC # H3: 8 + I4: 5,6 # E6: 3,4,6 => UNS
* INC # H3: 8 + I4: 5,6 # D4: 5,6 => UNS
* INC # H3: 8 + I4: 5,6 # D4: 3,8 => UNS
* INC # H3: 8 + I4: 5,6 # I7: 5,6 => UNS
* INC # H3: 8 + I4: 5,6 # I7: 2,4,8 => UNS
* INC # H3: 8 + I4: 5,6 # I5: 3,4 => UNS
* INC # H3: 8 + I4: 5,6 # I5: 2,5 => UNS
* INC # H3: 8 + I4: 5,6 # D6: 3,4 => UNS
* INC # H3: 8 + I4: 5,6 # E6: 3,4 => UNS
* INC # H3: 8 + I4: 5,6 # G8: 3,4 => UNS
* INC # H3: 8 + I4: 5,6 # G9: 3,4 => UNS
* INC # H3: 8 + I4: 5,6 => UNS
* INC # I2: 8 # F2: 3,6 => UNS
* INC # I2: 8 # F2: 1 => UNS
* INC # I2: 8 # D4: 3,6 => UNS
* INC # I2: 8 # D6: 3,6 => UNS
* INC # I2: 8 # E6: 7,8 => UNS
* INC # I2: 8 # E6: 3,4,6 => UNS
* INC # I2: 8 => UNS
* CNT  53 HDP CHAINS /  53 HYP OPENED

Full list of HDP chains traversed for B2,G2: 7..:

* DIS # G2: 7 # C1: 1,2 => CTR => C1: 4
* INC # G2: 7 + C1: 4 # C2: 1,2 => UNS
* INC # G2: 7 + C1: 4 # A3: 1,2 => UNS
* INC # G2: 7 + C1: 4 # B3: 1,2 => UNS
* INC # G2: 7 + C1: 4 # B4: 1,2 => UNS
* INC # G2: 7 + C1: 4 # B7: 1,2 => UNS
* INC # G2: 7 + C1: 4 # H1: 1,2 => UNS
* INC # G2: 7 + C1: 4 # H3: 1,2 => UNS
* INC # G2: 7 + C1: 4 # A3: 1,2 => UNS
* INC # G2: 7 + C1: 4 # B3: 1,2 => UNS
* INC # G2: 7 + C1: 4 # E3: 1,2 => UNS
* INC # G2: 7 + C1: 4 # G7: 1,2 => UNS
* INC # G2: 7 + C1: 4 # G7: 4,5,9 => UNS
* INC # G2: 7 + C1: 4 # E6: 7,8 => UNS
* INC # G2: 7 + C1: 4 # E6: 3,4,6 => UNS
* INC # G2: 7 + C1: 4 # I5: 3,4 => UNS
* INC # G2: 7 + C1: 4 # I5: 2,5 => UNS
* INC # G2: 7 + C1: 4 # D6: 3,4 => UNS
* INC # G2: 7 + C1: 4 # E6: 3,4 => UNS
* INC # G2: 7 + C1: 4 # G8: 3,4 => UNS
* INC # G2: 7 + C1: 4 # G9: 3,4 => UNS
* INC # G2: 7 + C1: 4 # C2: 1,2 => UNS
* INC # G2: 7 + C1: 4 # A3: 1,2 => UNS
* INC # G2: 7 + C1: 4 # B3: 1,2 => UNS
* INC # G2: 7 + C1: 4 # B4: 1,2 => UNS
* INC # G2: 7 + C1: 4 # B7: 1,2 => UNS
* INC # G2: 7 + C1: 4 # E1: 1,3 => UNS
* INC # G2: 7 + C1: 4 # F2: 1,3 => UNS
* INC # G2: 7 + C1: 4 # H1: 1,3 => UNS
* INC # G2: 7 + C1: 4 # H1: 2,5 => UNS
* INC # G2: 7 + C1: 4 # F4: 1,3 => UNS
* INC # G2: 7 + C1: 4 # F5: 1,3 => UNS
* INC # G2: 7 + C1: 4 # H1: 1,2 => UNS
* INC # G2: 7 + C1: 4 # H3: 1,2 => UNS
* INC # G2: 7 + C1: 4 # A3: 1,2 => UNS
* INC # G2: 7 + C1: 4 # B3: 1,2 => UNS
* INC # G2: 7 + C1: 4 # E3: 1,2 => UNS
* INC # G2: 7 + C1: 4 # G7: 1,2 => UNS
* INC # G2: 7 + C1: 4 # G7: 4,5,9 => UNS
* INC # G2: 7 + C1: 4 # E6: 7,8 => UNS
* INC # G2: 7 + C1: 4 # E6: 3,4,6 => UNS
* INC # G2: 7 + C1: 4 # I5: 3,4 => UNS
* INC # G2: 7 + C1: 4 # I5: 2,5 => UNS
* INC # G2: 7 + C1: 4 # D6: 3,4 => UNS
* INC # G2: 7 + C1: 4 # E6: 3,4 => UNS
* INC # G2: 7 + C1: 4 # G8: 3,4 => UNS
* INC # G2: 7 + C1: 4 # G9: 3,4 => UNS
* INC # G2: 7 + C1: 4 => UNS
* INC # B2: 7 # E6: 7,8 => UNS
* INC # B2: 7 # E6: 3,4,6 => UNS
* INC # B2: 7 # D6: 3,9 => UNS
* INC # B2: 7 # D6: 4,6,8 => UNS
* INC # B2: 7 => UNS
* CNT  53 HDP CHAINS /  53 HYP OPENED

Full list of HDP chains traversed for C1,B3: 4..:

* DIS # B3: 4 # B2: 1,2 => CTR => B2: 7
* DIS # B3: 4 + B2: 7 # C2: 1,2 => CTR => C2: 6
* INC # B3: 4 + B2: 7 + C2: 6 # E1: 1,2 => UNS
* DIS # B3: 4 + B2: 7 + C2: 6 # E1: 3,4 => CTR => E1: 1,2
* PRF # B3: 4 + B2: 7 + C2: 6 + E1: 1,2 # C4: 1,2 => SOL
* STA # B3: 4 + B2: 7 + C2: 6 + E1: 1,2 + C4: 1,2
* CNT   5 HDP CHAINS /   6 HYP OPENED