Analysis of xx-ph-00034458-12_05-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
Details
Appendix: Full HDP Chains

Original Sudoku

level: deep

position: 98.7..6....5.4..3......9...54.....8.3...8.4....8.....2.1.4..7....3.2..4......6..1 initial

Autosolve

position: 98.7..6....5.4..3..3...9...54.....8.3...8.4....8..4..2.1.4..7....3.2..4......6..1 autosolve

Pair Reduction Variants

Pair Reduction Analysis

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

Pair Reduction

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

Deep Pair Reduction

Time used: 0:00:07.209510

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

Deep Constraint Pair Analysis

Time used: 0:00:00.000011

List of important HDP chains detected for B8,B9: 5..:

* DIS # B8: 5 # G9: 8,9 => CTR => G9: 2,3,5
* CNT   1 HDP CHAINS /  31 HYP OPENED

List of important HDP chains detected for C1,I1: 4..:

* DIS # C1: 4 # E4: 1,3 => CTR => E4: 6,7,9
* DIS # C1: 4 + E4: 6,7,9 # E6: 1,3 => CTR => E6: 5,6,7,9
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 # G3: 1,2 => CTR => G3: 8
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 # H3: 1,2 => CTR => H3: 7
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 # D3: 2,6 => CTR => D3: 5
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 # I4: 6,7 => CTR => I4: 3
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 + I4: 3 # A8: 6,8 => CTR => A8: 7
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 + I4: 3 + A8: 7 => CTR => C1: 1,2
* STA C1: 1,2
* CNT   8 HDP CHAINS /  14 HYP OPENED

List of important HDP chains detected for I1,I3: 4..:

* DIS # I3: 4 # E4: 1,3 => CTR => E4: 6,7,9
* DIS # I3: 4 + E4: 6,7,9 # E6: 1,3 => CTR => E6: 5,6,7,9
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 # G3: 1,2 => CTR => G3: 8
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 # H3: 1,2 => CTR => H3: 7
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 # D3: 2,6 => CTR => D3: 5
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 # I4: 6,7 => CTR => I4: 3
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 + I4: 3 # A8: 6,8 => CTR => A8: 7
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 + I4: 3 + A8: 7 => CTR => I3: 5,7,8
* STA I3: 5,7,8
* CNT   8 HDP CHAINS /  14 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....5.4..3......9...54.....8.3...8.4....8.....2.1.4..7....3.2..4......6..1`	initial
`98.7..6....5.4..3..3...9...54.....8.3...8.4....8..4..2.1.4..7....3.2..4......6..1`	autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
I1: 4,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D8,F8: 1.. / D8 = 1  =>  1 pairs (_) / F8 = 1  =>  2 pairs (_)
E1,F1: 3.. / E1 = 3  =>  2 pairs (_) / F1 = 3  =>  3 pairs (_)
I7,G9: 3.. / I7 = 3  =>  3 pairs (_) / G9 = 3  =>  3 pairs (_)
I4,I7: 3.. / I4 = 3  =>  3 pairs (_) / I7 = 3  =>  3 pairs (_)
I1,I3: 4.. / I1 = 4  =>  1 pairs (_) / I3 = 4  =>  2 pairs (_)
A9,C9: 4.. / A9 = 4  =>  1 pairs (_) / C9 = 4  =>  1 pairs (_)
C1,I1: 4.. / C1 = 4  =>  2 pairs (_) / I1 = 4  =>  1 pairs (_)
A3,A9: 4.. / A3 = 4  =>  1 pairs (_) / A9 = 4  =>  1 pairs (_)
B8,B9: 5.. / B8 = 5  =>  2 pairs (_) / B9 = 5  =>  2 pairs (_)
F8,E9: 7.. / F8 = 7  =>  2 pairs (_) / E9 = 7  =>  1 pairs (_)
G2,I2: 9.. / G2 = 9  =>  4 pairs (_) / I2 = 9  =>  1 pairs (_)
* DURATION: 0:00:06.631909  START: 13:56:11.307807  END: 13:56:17.939716 2020-12-14
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G2,I2: 9.. / G2 = 9 ==>  4 pairs (_) / I2 = 9 ==>  1 pairs (_)
I4,I7: 3.. / I4 = 3 ==>  3 pairs (_) / I7 = 3 ==>  3 pairs (_)
I7,G9: 3.. / I7 = 3 ==>  3 pairs (_) / G9 = 3 ==>  3 pairs (_)
E1,F1: 3.. / E1 = 3 ==>  2 pairs (_) / F1 = 3 ==>  3 pairs (_)
B8,B9: 5.. / B8 = 5 ==>  2 pairs (_) / B9 = 5 ==>  2 pairs (_)
F8,E9: 7.. / F8 = 7 ==>  2 pairs (_) / E9 = 7 ==>  1 pairs (_)
C1,I1: 4.. / C1 = 4 ==>  0 pairs (X) / I1 = 4  =>  1 pairs (_)
I1,I3: 4.. / I1 = 4  =>  1 pairs (_) / I3 = 4 ==>  0 pairs (X)
D8,F8: 1.. / D8 = 1 ==>  1 pairs (_) / F8 = 1 ==>  2 pairs (_)
A3,A9: 4.. / A3 = 4 ==>  1 pairs (_) / A9 = 4 ==>  1 pairs (_)
A9,C9: 4.. / A9 = 4 ==>  1 pairs (_) / C9 = 4 ==>  1 pairs (_)
* DURATION: 0:01:38.809745  START: 13:56:26.893414  END: 13:58:05.703159 2020-12-14
* REASONING B8,B9: 5..
* DIS # B8: 5 # G9: 8,9 => CTR => G9: 2,3,5
* CNT   1 HDP CHAINS /  31 HYP OPENED
* REASONING C1,I1: 4..
* DIS # C1: 4 # E4: 1,3 => CTR => E4: 6,7,9
* DIS # C1: 4 + E4: 6,7,9 # E6: 1,3 => CTR => E6: 5,6,7,9
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 # G3: 1,2 => CTR => G3: 8
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 # H3: 1,2 => CTR => H3: 7
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 # D3: 2,6 => CTR => D3: 5
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 # I4: 6,7 => CTR => I4: 3
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 + I4: 3 # A8: 6,8 => CTR => A8: 7
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 + I4: 3 + A8: 7 => CTR => C1: 1,2
* STA C1: 1,2
* CNT   8 HDP CHAINS /  14 HYP OPENED
* REASONING I1,I3: 4..
* DIS # I3: 4 # E4: 1,3 => CTR => E4: 6,7,9
* DIS # I3: 4 + E4: 6,7,9 # E6: 1,3 => CTR => E6: 5,6,7,9
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 # G3: 1,2 => CTR => G3: 8
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 # H3: 1,2 => CTR => H3: 7
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 # D3: 2,6 => CTR => D3: 5
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 # I4: 6,7 => CTR => I4: 3
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 + I4: 3 # A8: 6,8 => CTR => A8: 7
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 + I4: 3 + A8: 7 => CTR => I3: 5,7,8
* STA I3: 5,7,8
* CNT   8 HDP CHAINS /  14 HYP OPENED
* DCP COUNT: (11)
* CLUE FOUND

Header Info

34458;12_05;GP;24;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # I3: 4,5 => UNS
* INC # I3: 7,8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # I3: 4,5 => UNS
* INC # I3: 7,8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # I3: 4,5 => UNS
* INC # I3: 7,8 => UNS
* INC # I3: 4,5 # G2: 1,2 => UNS
* INC # I3: 4,5 # G3: 1,2 => UNS
* INC # I3: 4,5 # H3: 1,2 => UNS
* INC # I3: 4,5 # C1: 1,2 => UNS
* INC # I3: 4,5 # F1: 1,2 => UNS
* INC # I3: 4,5 => UNS
* INC # I3: 7,8 # A2: 1,2 => UNS
* INC # I3: 7,8 # A3: 1,2 => UNS
* INC # I3: 7,8 # C3: 1,2 => UNS
* INC # I3: 7,8 # F1: 1,2 => UNS
* INC # I3: 7,8 # H1: 1,2 => UNS
* INC # I3: 7,8 # C4: 1,2 => UNS
* INC # I3: 7,8 # C5: 1,2 => UNS
* INC # I3: 7,8 # I2: 7,8 => UNS
* INC # I3: 7,8 # I2: 9 => UNS
* INC # I3: 7,8 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G2,I2: 9..:

* INC # G2: 9 # I3: 4,5 => UNS
* INC # G2: 9 # I3: 7,8 => UNS
* INC # G2: 9 # I3: 7,8 => UNS
* INC # G2: 9 # I3: 4,5 => UNS
* INC # G2: 9 # G6: 1,3 => UNS
* INC # G2: 9 # G6: 5 => UNS
* INC # G2: 9 # D4: 1,3 => UNS
* INC # G2: 9 # E4: 1,3 => UNS
* INC # G2: 9 # F4: 1,3 => UNS
* INC # G2: 9 # I7: 5,8 => UNS
* INC # G2: 9 # I8: 5,8 => UNS
* INC # G2: 9 # G9: 5,8 => UNS
* INC # G2: 9 # D8: 5,8 => UNS
* INC # G2: 9 # F8: 5,8 => UNS
* INC # G2: 9 # G3: 5,8 => UNS
* INC # G2: 9 # G3: 1,2 => UNS
* INC # G2: 9 => UNS
* INC # I2: 9 # I3: 4,5 => UNS
* INC # I2: 9 # I3: 7,8 => UNS
* INC # I2: 9 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for I4,I7: 3..:

* INC # I4: 3 # G3: 1,5 => UNS
* INC # I4: 3 # H3: 1,5 => UNS
* INC # I4: 3 # E1: 1,5 => UNS
* INC # I4: 3 # F1: 1,5 => UNS
* INC # I4: 3 # H5: 1,5 => UNS
* INC # I4: 3 # H6: 1,5 => UNS
* INC # I4: 3 # I3: 4,5 => UNS
* INC # I4: 3 # I3: 7,8 => UNS
* INC # I4: 3 # H5: 1,9 => UNS
* INC # I4: 3 # G6: 1,9 => UNS
* INC # I4: 3 # H6: 1,9 => UNS
* INC # I4: 3 # C4: 1,9 => UNS
* INC # I4: 3 # D4: 1,9 => UNS
* INC # I4: 3 # E4: 1,9 => UNS
* INC # I4: 3 # G2: 1,9 => UNS
* INC # I4: 3 # G2: 2,8 => UNS
* INC # I4: 3 => UNS
* INC # I7: 3 # I3: 4,5 => UNS
* INC # I7: 3 # I3: 7,8 => UNS
* INC # I7: 3 # D8: 5,9 => UNS
* INC # I7: 3 # D9: 5,9 => UNS
* INC # I7: 3 # E9: 5,9 => UNS
* INC # I7: 3 # H7: 5,9 => UNS
* INC # I7: 3 # H7: 2,6 => UNS
* INC # I7: 3 # E6: 5,9 => UNS
* INC # I7: 3 # E6: 1,3,6,7 => UNS
* INC # I7: 3 # D8: 5,8 => UNS
* INC # I7: 3 # F8: 5,8 => UNS
* INC # I7: 3 # D9: 5,8 => UNS
* INC # I7: 3 => UNS
* CNT  30 HDP CHAINS /  30 HYP OPENED

Full list of HDP chains traversed for I7,G9: 3..:

* INC # I7: 3 # I3: 4,5 => UNS
* INC # I7: 3 # I3: 7,8 => UNS
* INC # I7: 3 # D8: 5,9 => UNS
* INC # I7: 3 # D9: 5,9 => UNS
* INC # I7: 3 # E9: 5,9 => UNS
* INC # I7: 3 # H7: 5,9 => UNS
* INC # I7: 3 # H7: 2,6 => UNS
* INC # I7: 3 # E6: 5,9 => UNS
* INC # I7: 3 # E6: 1,3,6,7 => UNS
* INC # I7: 3 # D8: 5,8 => UNS
* INC # I7: 3 # F8: 5,8 => UNS
* INC # I7: 3 # D9: 5,8 => UNS
* INC # I7: 3 => UNS
* INC # G9: 3 # G3: 1,5 => UNS
* INC # G9: 3 # H3: 1,5 => UNS
* INC # G9: 3 # E1: 1,5 => UNS
* INC # G9: 3 # F1: 1,5 => UNS
* INC # G9: 3 # H5: 1,5 => UNS
* INC # G9: 3 # H6: 1,5 => UNS
* INC # G9: 3 # I3: 4,5 => UNS
* INC # G9: 3 # I3: 7,8 => UNS
* INC # G9: 3 # H5: 1,9 => UNS
* INC # G9: 3 # G6: 1,9 => UNS
* INC # G9: 3 # H6: 1,9 => UNS
* INC # G9: 3 # C4: 1,9 => UNS
* INC # G9: 3 # D4: 1,9 => UNS
* INC # G9: 3 # E4: 1,9 => UNS
* INC # G9: 3 # G2: 1,9 => UNS
* INC # G9: 3 # G2: 2,8 => UNS
* INC # G9: 3 => UNS
* CNT  30 HDP CHAINS /  30 HYP OPENED

Full list of HDP chains traversed for E1,F1: 3..:

* INC # F1: 3 # D3: 1,5 => UNS
* INC # F1: 3 # E3: 1,5 => UNS
* INC # F1: 3 # H1: 1,5 => UNS
* INC # F1: 3 # H1: 2 => UNS
* INC # F1: 3 # E6: 1,5 => UNS
* INC # F1: 3 # E6: 3,6,7,9 => UNS
* INC # F1: 3 # I3: 4,5 => UNS
* INC # F1: 3 # I3: 7,8 => UNS
* INC # F1: 3 # D8: 5,8 => UNS
* INC # F1: 3 # F8: 5,8 => UNS
* INC # F1: 3 # D9: 5,8 => UNS
* INC # F1: 3 # I7: 5,8 => UNS
* INC # F1: 3 # I7: 3,6,9 => UNS
* INC # F1: 3 => UNS
* INC # E1: 3 # I3: 4,5 => UNS
* INC # E1: 3 # I3: 7,8 => UNS
* INC # E1: 3 # D8: 5,9 => UNS
* INC # E1: 3 # D9: 5,9 => UNS
* INC # E1: 3 # E9: 5,9 => UNS
* INC # E1: 3 # H7: 5,9 => UNS
* INC # E1: 3 # I7: 5,9 => UNS
* INC # E1: 3 # E6: 5,9 => UNS
* INC # E1: 3 # E6: 1,6,7 => UNS
* INC # E1: 3 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for B8,B9: 5..:

* INC # B8: 5 # I3: 4,5 => UNS
* INC # B8: 5 # I3: 7,8 => UNS
* INC # B8: 5 # I7: 8,9 => UNS
* INC # B8: 5 # I8: 8,9 => UNS
* DIS # B8: 5 # G9: 8,9 => CTR => G9: 2,3,5
* INC # B8: 5 + G9: 2,3,5 # D8: 8,9 => UNS
* INC # B8: 5 + G9: 2,3,5 # D8: 1 => UNS
* INC # B8: 5 + G9: 2,3,5 # G2: 8,9 => UNS
* INC # B8: 5 + G9: 2,3,5 # G2: 1,2 => UNS
* INC # B8: 5 + G9: 2,3,5 # I7: 8,9 => UNS
* INC # B8: 5 + G9: 2,3,5 # I8: 8,9 => UNS
* INC # B8: 5 + G9: 2,3,5 # D8: 8,9 => UNS
* INC # B8: 5 + G9: 2,3,5 # D8: 1 => UNS
* INC # B8: 5 + G9: 2,3,5 # G2: 8,9 => UNS
* INC # B8: 5 + G9: 2,3,5 # G2: 1,2 => UNS
* INC # B8: 5 + G9: 2,3,5 # I3: 4,5 => UNS
* INC # B8: 5 + G9: 2,3,5 # I3: 7,8 => UNS
* INC # B8: 5 + G9: 2,3,5 # I7: 8,9 => UNS
* INC # B8: 5 + G9: 2,3,5 # I8: 8,9 => UNS
* INC # B8: 5 + G9: 2,3,5 # D8: 8,9 => UNS
* INC # B8: 5 + G9: 2,3,5 # D8: 1 => UNS
* INC # B8: 5 + G9: 2,3,5 # G2: 8,9 => UNS
* INC # B8: 5 + G9: 2,3,5 # G2: 1,2 => UNS
* INC # B8: 5 + G9: 2,3,5 => UNS
* INC # B9: 5 # I3: 4,5 => UNS
* INC # B9: 5 # I3: 7,8 => UNS
* INC # B9: 5 # H7: 2,9 => UNS
* INC # B9: 5 # G9: 2,9 => UNS
* INC # B9: 5 # C9: 2,9 => UNS
* INC # B9: 5 # C9: 4,7 => UNS
* INC # B9: 5 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for F8,E9: 7..:

* INC # F8: 7 # I3: 4,5 => UNS
* INC # F8: 7 # I3: 7,8 => UNS
* INC # F8: 7 # A7: 6,8 => UNS
* INC # F8: 7 # A7: 2 => UNS
* INC # F8: 7 # I8: 6,8 => UNS
* INC # F8: 7 # I8: 5,9 => UNS
* INC # F8: 7 => UNS
* INC # E9: 7 # I3: 4,5 => UNS
* INC # E9: 7 # I3: 7,8 => UNS
* INC # E9: 7 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for C1,I1: 4..:

* INC # C1: 4 # F1: 1,3 => UNS
* INC # C1: 4 # F1: 2 => UNS
* DIS # C1: 4 # E4: 1,3 => CTR => E4: 6,7,9
* DIS # C1: 4 + E4: 6,7,9 # E6: 1,3 => CTR => E6: 5,6,7,9
* INC # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 # G2: 1,2 => UNS
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 # G3: 1,2 => CTR => G3: 8
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 # H3: 1,2 => CTR => H3: 7
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 # D3: 2,6 => CTR => D3: 5
* INC # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 # D4: 2,6 => UNS
* INC # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 # D5: 2,6 => UNS
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 # I4: 6,7 => CTR => I4: 3
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 + I4: 3 # A8: 6,8 => CTR => A8: 7
* DIS # C1: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 + I4: 3 + A8: 7 => CTR => C1: 1,2
* INC C1: 1,2 # I1: 4 => UNS
* STA C1: 1,2
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for I1,I3: 4..:

* INC # I3: 4 # F1: 1,3 => UNS
* INC # I3: 4 # F1: 2 => UNS
* DIS # I3: 4 # E4: 1,3 => CTR => E4: 6,7,9
* DIS # I3: 4 + E4: 6,7,9 # E6: 1,3 => CTR => E6: 5,6,7,9
* INC # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 # G2: 1,2 => UNS
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 # G3: 1,2 => CTR => G3: 8
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 # H3: 1,2 => CTR => H3: 7
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 # D3: 2,6 => CTR => D3: 5
* INC # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 # D4: 2,6 => UNS
* INC # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 # D5: 2,6 => UNS
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 # I4: 6,7 => CTR => I4: 3
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 + I4: 3 # A8: 6,8 => CTR => A8: 7
* DIS # I3: 4 + E4: 6,7,9 + E6: 5,6,7,9 + G3: 8 + H3: 7 + D3: 5 + I4: 3 + A8: 7 => CTR => I3: 5,7,8
* INC I3: 5,7,8 # I1: 4 => UNS
* STA I3: 5,7,8
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for D8,F8: 1..:

* INC # F8: 1 # D2: 2,8 => UNS
* INC # F8: 1 # D3: 2,8 => UNS
* INC # F8: 1 # G2: 2,8 => UNS
* INC # F8: 1 # G2: 1,9 => UNS
* INC # F8: 1 # I3: 4,5 => UNS
* INC # F8: 1 # I3: 7,8 => UNS
* INC # F8: 1 => UNS
* INC # D8: 1 # I3: 4,5 => UNS
* INC # D8: 1 # I3: 7,8 => UNS
* INC # D8: 1 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for A3,A9: 4..:

* INC # A3: 4 # A2: 1,2 => UNS
* INC # A3: 4 # C3: 1,2 => UNS
* INC # A3: 4 # F1: 1,2 => UNS
* INC # A3: 4 # H1: 1,2 => UNS
* INC # A3: 4 # C4: 1,2 => UNS
* INC # A3: 4 # C5: 1,2 => UNS
* INC # A3: 4 => UNS
* INC # A9: 4 # I3: 4,5 => UNS
* INC # A9: 4 # I3: 7,8 => UNS
* INC # A9: 4 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for A9,C9: 4..:

* INC # A9: 4 # I3: 4,5 => UNS
* INC # A9: 4 # I3: 7,8 => UNS
* INC # A9: 4 => UNS
* INC # C9: 4 # A2: 1,2 => UNS
* INC # C9: 4 # C3: 1,2 => UNS
* INC # C9: 4 # F1: 1,2 => UNS
* INC # C9: 4 # H1: 1,2 => UNS
* INC # C9: 4 # C4: 1,2 => UNS
* INC # C9: 4 # C5: 1,2 => UNS
* INC # C9: 4 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED