Analysis of xx-ph-00016686-Kz1_b-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6....5.9..8......4...5...7..3..7......2..34..1...5..3..9...7.....6...1..2.. initial

Autosolve

position: 98.7..6....5.9..8......4...5...7..3..7......2..34..1...5..3..9...7.....6...1..2.. 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

Time used: 0:00:00.000008

List of important HDP chains detected for H5,H6: 6..:

* DIS # H6: 6 # B4: 2,9 => CTR => B4: 1,4,6
* CNT   1 HDP CHAINS /  42 HYP OPENED

List of important HDP chains detected for I7,H8: 1..:

* DIS # I7: 1 # G8: 4,5 => CTR => G8: 3,8
* CNT   1 HDP CHAINS /  33 HYP OPENED

List of important HDP chains detected for H1,H3: 2..:

* DIS # H1: 2 # E3: 1,5 => CTR => E3: 2,6,8
* CNT   1 HDP CHAINS /  39 HYP OPENED

List of important HDP chains detected for G3,I3: 9..:

* DIS # G3: 9 # G5: 4,8 => CTR => G5: 5
* CNT   1 HDP CHAINS /  24 HYP OPENED

List of important HDP chains detected for F7,F9: 7..:

* DIS # F7: 7 # G8: 4,8 => CTR => G8: 3,5
* DIS # F7: 7 + G8: 3,5 # I9: 4,8 => CTR => I9: 3,5,7
* CNT   2 HDP CHAINS /  29 HYP OPENED

List of important HDP chains detected for F1,I1: 3..:

* DIS # F1: 3 # D3: 2,6 => CTR => D3: 5,8
* CNT   1 HDP CHAINS /  31 HYP OPENED

List of important HDP chains detected for G8,I9: 3..:

* DIS # I9: 3 # D3: 2,6 => CTR => D3: 5,8
* DIS # I9: 3 + D3: 5,8 # E3: 2,6 => CTR => E3: 1,5,8
* PRF # I9: 3 + D3: 5,8 + E3: 1,5,8 # E3: 1 => SOL
* STA # I9: 3 + D3: 5,8 + E3: 1,5,8 + E3: 1
* CNT   3 HDP CHAINS /  21 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..8......4...5...7..3..7......2..34..1...5..3..9...7.....6...1..2.. initial
98.7..6....5.9..8......4...5...7..3..7......2..34..1...5..3..9...7.....6...1..2.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I7,H8: 1.. / I7 = 1  =>  3 pairs (_) / H8 = 1  =>  0 pairs (_)
H1,H3: 2.. / H1 = 2  =>  2 pairs (_) / H3 = 2  =>  1 pairs (_)
D5,F5: 3.. / D5 = 3  =>  1 pairs (_) / F5 = 3  =>  1 pairs (_)
G8,I9: 3.. / G8 = 3  =>  1 pairs (_) / I9 = 3  =>  1 pairs (_)
F1,I1: 3.. / F1 = 3  =>  1 pairs (_) / I1 = 3  =>  1 pairs (_)
E8,E9: 4.. / E8 = 4  =>  1 pairs (_) / E9 = 4  =>  1 pairs (_)
H5,H6: 6.. / H5 = 6  =>  1 pairs (_) / H6 = 6  =>  3 pairs (_)
A2,A3: 7.. / A2 = 7  =>  1 pairs (_) / A3 = 7  =>  0 pairs (_)
H6,I6: 7.. / H6 = 7  =>  1 pairs (_) / I6 = 7  =>  1 pairs (_)
F7,F9: 7.. / F7 = 7  =>  1 pairs (_) / F9 = 7  =>  1 pairs (_)
D3,E3: 8.. / D3 = 8  =>  1 pairs (_) / E3 = 8  =>  0 pairs (_)
G3,I3: 9.. / G3 = 9  =>  1 pairs (_) / I3 = 9  =>  1 pairs (_)
* DURATION: 0:00:09.116234  START: 23:29:55.903168  END: 23:30:05.019402 2020-12-04
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H5,H6: 6.. / H5 = 6 ==>  1 pairs (_) / H6 = 6 ==>  3 pairs (_)
I7,H8: 1.. / I7 = 1 ==>  4 pairs (_) / H8 = 1 ==>  0 pairs (_)
H1,H3: 2.. / H1 = 2 ==>  2 pairs (_) / H3 = 2 ==>  1 pairs (_)
G3,I3: 9.. / G3 = 9 ==>  3 pairs (_) / I3 = 9 ==>  1 pairs (_)
F7,F9: 7.. / F7 = 7 ==>  3 pairs (_) / F9 = 7 ==>  1 pairs (_)
H6,I6: 7.. / H6 = 7 ==>  1 pairs (_) / I6 = 7 ==>  1 pairs (_)
E8,E9: 4.. / E8 = 4 ==>  1 pairs (_) / E9 = 4 ==>  1 pairs (_)
F1,I1: 3.. / F1 = 3 ==>  2 pairs (_) / I1 = 3 ==>  1 pairs (_)
G8,I9: 3.. / G8 = 3 ==>  1 pairs (_) / I9 = 3 ==>  0 pairs (*)
* DURATION: 0:02:13.304948  START: 23:30:05.020236  END: 23:32:18.325184 2020-12-04
* REASONING H5,H6: 6..
* DIS # H6: 6 # B4: 2,9 => CTR => B4: 1,4,6
* CNT   1 HDP CHAINS /  42 HYP OPENED
* REASONING I7,H8: 1..
* DIS # I7: 1 # G8: 4,5 => CTR => G8: 3,8
* CNT   1 HDP CHAINS /  33 HYP OPENED
* REASONING H1,H3: 2..
* DIS # H1: 2 # E3: 1,5 => CTR => E3: 2,6,8
* CNT   1 HDP CHAINS /  39 HYP OPENED
* REASONING G3,I3: 9..
* DIS # G3: 9 # G5: 4,8 => CTR => G5: 5
* CNT   1 HDP CHAINS /  24 HYP OPENED
* REASONING F7,F9: 7..
* DIS # F7: 7 # G8: 4,8 => CTR => G8: 3,5
* DIS # F7: 7 + G8: 3,5 # I9: 4,8 => CTR => I9: 3,5,7
* CNT   2 HDP CHAINS /  29 HYP OPENED
* REASONING F1,I1: 3..
* DIS # F1: 3 # D3: 2,6 => CTR => D3: 5,8
* CNT   1 HDP CHAINS /  31 HYP OPENED
* REASONING G8,I9: 3..
* DIS # I9: 3 # D3: 2,6 => CTR => D3: 5,8
* DIS # I9: 3 + D3: 5,8 # E3: 2,6 => CTR => E3: 1,5,8
* PRF # I9: 3 + D3: 5,8 + E3: 1,5,8 # E3: 1 => SOL
* STA # I9: 3 + D3: 5,8 + E3: 1,5,8 + E3: 1
* CNT   3 HDP CHAINS /  21 HYP OPENED
* DCP COUNT: (9)
* SOLUTION FOUND

Header Info

16686;Kz1 b;GP;23;11.30;11.30;10.50

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H5,H6: 6..:

* INC # H6: 6 # C4: 2,8 => UNS
* INC # H6: 6 # C4: 1,4,6,9 => UNS
* INC # H6: 6 # E6: 2,8 => UNS
* INC # H6: 6 # F6: 2,8 => UNS
* INC # H6: 6 # A7: 2,8 => UNS
* INC # H6: 6 # A8: 2,8 => UNS
* DIS # H6: 6 # B4: 2,9 => CTR => B4: 1,4,6
* INC # H6: 6 + B4: 1,4,6 # C4: 2,9 => UNS
* INC # H6: 6 + B4: 1,4,6 # C4: 2,9 => UNS
* INC # H6: 6 + B4: 1,4,6 # C4: 1,4,6,8 => UNS
* INC # H6: 6 + B4: 1,4,6 # F6: 2,9 => UNS
* INC # H6: 6 + B4: 1,4,6 # F6: 5,8 => UNS
* INC # H6: 6 + B4: 1,4,6 # B8: 2,9 => UNS
* INC # H6: 6 + B4: 1,4,6 # B8: 1,3,4 => UNS
* INC # H6: 6 + B4: 1,4,6 # G5: 4,5 => UNS
* INC # H6: 6 + B4: 1,4,6 # G5: 8,9 => UNS
* INC # H6: 6 + B4: 1,4,6 # H1: 4,5 => UNS
* INC # H6: 6 + B4: 1,4,6 # H8: 4,5 => UNS
* INC # H6: 6 + B4: 1,4,6 # H9: 4,5 => UNS
* INC # H6: 6 + B4: 1,4,6 # C4: 2,8 => UNS
* INC # H6: 6 + B4: 1,4,6 # C4: 1,4,6,9 => UNS
* INC # H6: 6 + B4: 1,4,6 # E6: 2,8 => UNS
* INC # H6: 6 + B4: 1,4,6 # F6: 2,8 => UNS
* INC # H6: 6 + B4: 1,4,6 # A7: 2,8 => UNS
* INC # H6: 6 + B4: 1,4,6 # A8: 2,8 => UNS
* INC # H6: 6 + B4: 1,4,6 # C4: 2,9 => UNS
* INC # H6: 6 + B4: 1,4,6 # C4: 1,4,6,8 => UNS
* INC # H6: 6 + B4: 1,4,6 # F6: 2,9 => UNS
* INC # H6: 6 + B4: 1,4,6 # F6: 5,8 => UNS
* INC # H6: 6 + B4: 1,4,6 # B8: 2,9 => UNS
* INC # H6: 6 + B4: 1,4,6 # B8: 1,3,4 => UNS
* INC # H6: 6 + B4: 1,4,6 # G5: 4,5 => UNS
* INC # H6: 6 + B4: 1,4,6 # G5: 8,9 => UNS
* INC # H6: 6 + B4: 1,4,6 # H1: 4,5 => UNS
* INC # H6: 6 + B4: 1,4,6 # H8: 4,5 => UNS
* INC # H6: 6 + B4: 1,4,6 # H9: 4,5 => UNS
* INC # H6: 6 + B4: 1,4,6 => UNS
* INC # H5: 6 # I6: 5,7 => UNS
* INC # H5: 6 # I6: 8,9 => UNS
* INC # H5: 6 # H3: 5,7 => UNS
* INC # H5: 6 # H9: 5,7 => UNS
* INC # H5: 6 => UNS
* CNT  42 HDP CHAINS /  42 HYP OPENED

Full list of HDP chains traversed for I7,H8: 1..:

* INC # I7: 1 # C1: 1,2 => UNS
* INC # I7: 1 # E1: 1,2 => UNS
* INC # I7: 1 # F1: 1,2 => UNS
* INC # I7: 1 # A3: 1,2 => UNS
* INC # I7: 1 # B3: 1,2 => UNS
* INC # I7: 1 # C3: 1,2 => UNS
* INC # I7: 1 # E3: 1,2 => UNS
* DIS # I7: 1 # G8: 4,5 => CTR => G8: 3,8
* INC # I7: 1 + G8: 3,8 # H9: 4,5 => UNS
* INC # I7: 1 + G8: 3,8 # I9: 4,5 => UNS
* INC # I7: 1 + G8: 3,8 # E8: 4,5 => UNS
* INC # I7: 1 + G8: 3,8 # E8: 2,8 => UNS
* INC # I7: 1 + G8: 3,8 # H5: 4,5 => UNS
* INC # I7: 1 + G8: 3,8 # H5: 6 => UNS
* INC # I7: 1 + G8: 3,8 # C1: 1,2 => UNS
* INC # I7: 1 + G8: 3,8 # E1: 1,2 => UNS
* INC # I7: 1 + G8: 3,8 # F1: 1,2 => UNS
* INC # I7: 1 + G8: 3,8 # A3: 1,2 => UNS
* INC # I7: 1 + G8: 3,8 # B3: 1,2 => UNS
* INC # I7: 1 + G8: 3,8 # C3: 1,2 => UNS
* INC # I7: 1 + G8: 3,8 # E3: 1,2 => UNS
* INC # I7: 1 + G8: 3,8 # I9: 3,8 => UNS
* INC # I7: 1 + G8: 3,8 # I9: 4,5,7 => UNS
* INC # I7: 1 + G8: 3,8 # A8: 3,8 => UNS
* INC # I7: 1 + G8: 3,8 # A8: 1,2,4 => UNS
* INC # I7: 1 + G8: 3,8 # H9: 4,5 => UNS
* INC # I7: 1 + G8: 3,8 # I9: 4,5 => UNS
* INC # I7: 1 + G8: 3,8 # E8: 4,5 => UNS
* INC # I7: 1 + G8: 3,8 # E8: 2,8 => UNS
* INC # I7: 1 + G8: 3,8 # H5: 4,5 => UNS
* INC # I7: 1 + G8: 3,8 # H5: 6 => UNS
* INC # I7: 1 + G8: 3,8 => UNS
* INC # H8: 1 => UNS
* CNT  33 HDP CHAINS /  33 HYP OPENED

Full list of HDP chains traversed for H1,H3: 2..:

* INC # H1: 2 # A2: 1,4 => UNS
* INC # H1: 2 # B2: 1,4 => UNS
* INC # H1: 2 # I1: 1,4 => UNS
* INC # H1: 2 # I1: 3,5 => UNS
* INC # H1: 2 # C4: 1,4 => UNS
* INC # H1: 2 # C5: 1,4 => UNS
* INC # H1: 2 # C7: 1,4 => UNS
* INC # H1: 2 # F1: 1,5 => UNS
* DIS # H1: 2 # E3: 1,5 => CTR => E3: 2,6,8
* INC # H1: 2 + E3: 2,6,8 # F1: 1,5 => UNS
* INC # H1: 2 + E3: 2,6,8 # F1: 3 => UNS
* INC # H1: 2 + E3: 2,6,8 # I1: 1,5 => UNS
* INC # H1: 2 + E3: 2,6,8 # I1: 3,4 => UNS
* INC # H1: 2 + E3: 2,6,8 # E5: 1,5 => UNS
* INC # H1: 2 + E3: 2,6,8 # E5: 6,8 => UNS
* INC # H1: 2 + E3: 2,6,8 # A2: 1,4 => UNS
* INC # H1: 2 + E3: 2,6,8 # B2: 1,4 => UNS
* INC # H1: 2 + E3: 2,6,8 # I1: 1,4 => UNS
* INC # H1: 2 + E3: 2,6,8 # I1: 3,5 => UNS
* INC # H1: 2 + E3: 2,6,8 # C4: 1,4 => UNS
* INC # H1: 2 + E3: 2,6,8 # C5: 1,4 => UNS
* INC # H1: 2 + E3: 2,6,8 # C7: 1,4 => UNS
* INC # H1: 2 + E3: 2,6,8 # F1: 1,5 => UNS
* INC # H1: 2 + E3: 2,6,8 # F1: 3 => UNS
* INC # H1: 2 + E3: 2,6,8 # I1: 1,5 => UNS
* INC # H1: 2 + E3: 2,6,8 # I1: 3,4 => UNS
* INC # H1: 2 + E3: 2,6,8 # E5: 1,5 => UNS
* INC # H1: 2 + E3: 2,6,8 # E5: 6,8 => UNS
* INC # H1: 2 + E3: 2,6,8 => UNS
* INC # H3: 2 # A2: 1,6 => UNS
* INC # H3: 2 # B2: 1,6 => UNS
* INC # H3: 2 # A3: 1,6 => UNS
* INC # H3: 2 # B3: 1,6 => UNS
* INC # H3: 2 # E3: 1,6 => UNS
* INC # H3: 2 # E3: 5,8 => UNS
* INC # H3: 2 # C4: 1,6 => UNS
* INC # H3: 2 # C5: 1,6 => UNS
* INC # H3: 2 # C7: 1,6 => UNS
* INC # H3: 2 => UNS
* CNT  39 HDP CHAINS /  39 HYP OPENED

Full list of HDP chains traversed for G3,I3: 9..:

* INC # G3: 9 # I4: 4,8 => UNS
* DIS # G3: 9 # G5: 4,8 => CTR => G5: 5
* INC # G3: 9 + G5: 5 # I4: 4,8 => UNS
* INC # G3: 9 + G5: 5 # I4: 9 => UNS
* INC # G3: 9 + G5: 5 # C4: 4,8 => UNS
* INC # G3: 9 + G5: 5 # C4: 1,2,6,9 => UNS
* INC # G3: 9 + G5: 5 # G7: 4,8 => UNS
* INC # G3: 9 + G5: 5 # G8: 4,8 => UNS
* INC # G3: 9 + G5: 5 # I4: 4,8 => UNS
* INC # G3: 9 + G5: 5 # I4: 9 => UNS
* INC # G3: 9 + G5: 5 # C4: 4,8 => UNS
* INC # G3: 9 + G5: 5 # C4: 1,2,6,9 => UNS
* INC # G3: 9 + G5: 5 # G7: 4,8 => UNS
* INC # G3: 9 + G5: 5 # G8: 4,8 => UNS
* INC # G3: 9 + G5: 5 # A5: 4,6 => UNS
* INC # G3: 9 + G5: 5 # C5: 4,6 => UNS
* INC # G3: 9 + G5: 5 => UNS
* INC # I3: 9 # G4: 4,8 => UNS
* INC # I3: 9 # G5: 4,8 => UNS
* INC # I3: 9 # C4: 4,8 => UNS
* INC # I3: 9 # C4: 1,2,6,9 => UNS
* INC # I3: 9 # I7: 4,8 => UNS
* INC # I3: 9 # I9: 4,8 => UNS
* INC # I3: 9 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for F7,F9: 7..:

* INC # F7: 7 # I7: 4,8 => UNS
* DIS # F7: 7 # G8: 4,8 => CTR => G8: 3,5
* DIS # F7: 7 + G8: 3,5 # I9: 4,8 => CTR => I9: 3,5,7
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # I7: 4,8 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # I7: 1 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # G4: 4,8 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # G5: 4,8 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # A7: 2,6 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # C7: 2,6 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # D2: 2,6 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # D3: 2,6 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # D4: 2,6 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # I7: 4,8 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # I7: 1 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # G4: 4,8 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # G5: 4,8 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # I9: 3,5 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # I9: 7 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # G3: 3,5 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 # G3: 7,9 => UNS
* INC # F7: 7 + G8: 3,5 + I9: 3,5,7 => UNS
* INC # F9: 7 # G8: 4,5 => UNS
* INC # F9: 7 # H8: 4,5 => UNS
* INC # F9: 7 # I9: 4,5 => UNS
* INC # F9: 7 # E9: 4,5 => UNS
* INC # F9: 7 # E9: 6,8 => UNS
* INC # F9: 7 # H1: 4,5 => UNS
* INC # F9: 7 # H5: 4,5 => UNS
* INC # F9: 7 => UNS
* CNT  29 HDP CHAINS /  29 HYP OPENED

Full list of HDP chains traversed for H6,I6: 7..:

* INC # H6: 7 # G8: 4,5 => UNS
* INC # H6: 7 # H8: 4,5 => UNS
* INC # H6: 7 # I9: 4,5 => UNS
* INC # H6: 7 # E9: 4,5 => UNS
* INC # H6: 7 # E9: 6,8 => UNS
* INC # H6: 7 # H1: 4,5 => UNS
* INC # H6: 7 # H1: 1,2 => UNS
* INC # H6: 7 => UNS
* INC # I6: 7 # H5: 5,6 => UNS
* INC # I6: 7 # H5: 4 => UNS
* INC # I6: 7 # E6: 5,6 => UNS
* INC # I6: 7 # F6: 5,6 => UNS
* INC # I6: 7 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for E8,E9: 4..:

* INC # E8: 4 # H1: 1,5 => UNS
* INC # E8: 4 # H3: 1,5 => UNS
* INC # E8: 4 => UNS
* INC # E9: 4 # I9: 5,7 => UNS
* INC # E9: 4 # I9: 3,8 => UNS
* INC # E9: 4 # F9: 5,7 => UNS
* INC # E9: 4 # F9: 6,8,9 => UNS
* INC # E9: 4 # H3: 5,7 => UNS
* INC # E9: 4 # H6: 5,7 => UNS
* INC # E9: 4 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for F1,I1: 3..:

* INC # F1: 3 # F2: 2,6 => UNS
* DIS # F1: 3 # D3: 2,6 => CTR => D3: 5,8
* INC # F1: 3 + D3: 5,8 # E3: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # A2: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # B2: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # D4: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # D7: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # F2: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # E3: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # A2: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # B2: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # D4: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # D7: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # F2: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # E3: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # A2: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # B2: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # D4: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # D7: 2,6 => UNS
* INC # F1: 3 + D3: 5,8 # E3: 5,8 => UNS
* INC # F1: 3 + D3: 5,8 # E3: 1,2,6 => UNS
* INC # F1: 3 + D3: 5,8 # D8: 5,8 => UNS
* INC # F1: 3 + D3: 5,8 # D8: 2,9 => UNS
* INC # F1: 3 + D3: 5,8 => UNS
* INC # I1: 3 # I2: 4,7 => UNS
* INC # I1: 3 # I2: 1 => UNS
* INC # I1: 3 # A2: 4,7 => UNS
* INC # I1: 3 # A2: 1,2,3,6 => UNS
* INC # I1: 3 # G7: 4,7 => UNS
* INC # I1: 3 # G7: 8 => UNS
* INC # I1: 3 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for G8,I9: 3..:

* INC # G8: 3 # I2: 4,7 => UNS
* INC # G8: 3 # I2: 1,3 => UNS
* INC # G8: 3 # A2: 4,7 => UNS
* INC # G8: 3 # A2: 1,2,3,6 => UNS
* INC # G8: 3 # G7: 4,7 => UNS
* INC # G8: 3 # G7: 8 => UNS
* INC # G8: 3 => UNS
* INC # I9: 3 # F2: 2,6 => UNS
* DIS # I9: 3 # D3: 2,6 => CTR => D3: 5,8
* DIS # I9: 3 + D3: 5,8 # E3: 2,6 => CTR => E3: 1,5,8
* INC # I9: 3 + D3: 5,8 + E3: 1,5,8 # F2: 2,6 => UNS
* INC # I9: 3 + D3: 5,8 + E3: 1,5,8 # F2: 1 => UNS
* INC # I9: 3 + D3: 5,8 + E3: 1,5,8 # D4: 2,6 => UNS
* INC # I9: 3 + D3: 5,8 + E3: 1,5,8 # D7: 2,6 => UNS
* INC # I9: 3 + D3: 5,8 + E3: 1,5,8 # F2: 2,6 => UNS
* INC # I9: 3 + D3: 5,8 + E3: 1,5,8 # F2: 1 => UNS
* INC # I9: 3 + D3: 5,8 + E3: 1,5,8 # D4: 2,6 => UNS
* INC # I9: 3 + D3: 5,8 + E3: 1,5,8 # D7: 2,6 => UNS
* INC # I9: 3 + D3: 5,8 + E3: 1,5,8 # E3: 5,8 => UNS
* PRF # I9: 3 + D3: 5,8 + E3: 1,5,8 # E3: 1 => SOL
* STA # I9: 3 + D3: 5,8 + E3: 1,5,8 + E3: 1
* CNT  20 HDP CHAINS /  21 HYP OPENED