Analysis of xx-ph-00040634-12_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7......8...5.8....6....43...2......1..95...6.1...2...6..69...7......34.. initial

Autosolve

position: 98.7..6..7......8...5.8....6....43...2......1..95...6.1...2...6..69...7......34.. 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: 0:00:09.556491

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

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: 0:00:00.000020

List of important HDP chains detected for G8,H9: 1..:

* DIS # G8: 1 # B7: 3,4 => CTR => B7: 5,9
* DIS # G8: 1 + B7: 5,9 # A8: 3,4 => CTR => A8: 2,8
* DIS # G8: 1 + B7: 5,9 + A8: 2,8 # H7: 5,9 => CTR => H7: 3
* DIS # G8: 1 + B7: 5,9 + A8: 2,8 + H7: 3 # B9: 5,9 => CTR => B9: 7
* DIS # G8: 1 + B7: 5,9 + A8: 2,8 + H7: 3 + B9: 7 => CTR => G8: 2,5,8
* STA G8: 2,5,8
* CNT   5 HDP CHAINS /  19 HYP OPENED

List of important HDP chains detected for D4,F6: 2..:

* DIS # D4: 2 # H9: 5,9 => CTR => H9: 1,2
* CNT   1 HDP CHAINS /  43 HYP OPENED

List of important HDP chains detected for H7,I8: 3..:

* DIS # I8: 3 # H9: 5,9 => CTR => H9: 1,2
* CNT   1 HDP CHAINS /  39 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..7......8...5.8....6....43...2......1..95...6.1...2...6..69...7......34.. initial
98.7..6..7......8...5.8....6....43...2......1..95...6.1...2...6..69...7......34.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
D7: 4,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G8,H9: 1.. / G8 = 1  =>  6 pairs (_) / H9 = 1  =>  2 pairs (_)
D4,F6: 2.. / D4 = 2  =>  2 pairs (_) / F6 = 2  =>  4 pairs (_)
H7,I8: 3.. / H7 = 3  =>  1 pairs (_) / I8 = 3  =>  3 pairs (_)
H5,I6: 4.. / H5 = 4  =>  1 pairs (_) / I6 = 4  =>  3 pairs (_)
D7,E8: 4.. / D7 = 4  =>  1 pairs (_) / E8 = 4  =>  7 pairs (_)
B4,A5: 5.. / B4 = 5  =>  4 pairs (_) / A5 = 5  =>  4 pairs (_)
B2,B3: 6.. / B2 = 6  =>  1 pairs (_) / B3 = 6  =>  1 pairs (_)
D9,E9: 6.. / D9 = 6  =>  2 pairs (_) / E9 = 6  =>  3 pairs (_)
G3,I3: 7.. / G3 = 7  =>  2 pairs (_) / I3 = 7  =>  1 pairs (_)
F7,E9: 7.. / F7 = 7  =>  1 pairs (_) / E9 = 7  =>  7 pairs (_)
B7,B9: 9.. / B7 = 9  =>  4 pairs (_) / B9 = 9  =>  1 pairs (_)
* DURATION: 0:00:06.780225  START: 14:20:14.874243  END: 14:20:21.654468 2020-12-18
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F7,E9: 7.. / F7 = 7 ==>  1 pairs (_) / E9 = 7 ==>  7 pairs (_)
D7,E8: 4.. / D7 = 4 ==>  1 pairs (_) / E8 = 4 ==>  7 pairs (_)
G8,H9: 1.. / G8 = 1 ==>  0 pairs (X) / H9 = 1  =>  2 pairs (_)
B4,A5: 5.. / B4 = 5 ==>  4 pairs (_) / A5 = 5 ==>  4 pairs (_)
D4,F6: 2.. / D4 = 2 ==>  3 pairs (_) / F6 = 2 ==>  4 pairs (_)
B7,B9: 9.. / B7 = 9 ==>  4 pairs (_) / B9 = 9 ==>  1 pairs (_)
D9,E9: 6.. / D9 = 6 ==>  2 pairs (_) / E9 = 6 ==>  3 pairs (_)
H5,I6: 4.. / H5 = 4 ==>  1 pairs (_) / I6 = 4 ==>  3 pairs (_)
H7,I8: 3.. / H7 = 3 ==>  1 pairs (_) / I8 = 3 ==>  4 pairs (_)
G3,I3: 7.. / G3 = 7 ==>  2 pairs (_) / I3 = 7 ==>  1 pairs (_)
B2,B3: 6.. / B2 = 6 ==>  1 pairs (_) / B3 = 6 ==>  1 pairs (_)
* DURATION: 0:01:59.989406  START: 14:20:32.957625  END: 14:22:32.947031 2020-12-18
* REASONING G8,H9: 1..
* DIS # G8: 1 # B7: 3,4 => CTR => B7: 5,9
* DIS # G8: 1 + B7: 5,9 # A8: 3,4 => CTR => A8: 2,8
* DIS # G8: 1 + B7: 5,9 + A8: 2,8 # H7: 5,9 => CTR => H7: 3
* DIS # G8: 1 + B7: 5,9 + A8: 2,8 + H7: 3 # B9: 5,9 => CTR => B9: 7
* DIS # G8: 1 + B7: 5,9 + A8: 2,8 + H7: 3 + B9: 7 => CTR => G8: 2,5,8
* STA G8: 2,5,8
* CNT   5 HDP CHAINS /  19 HYP OPENED
* REASONING D4,F6: 2..
* DIS # D4: 2 # H9: 5,9 => CTR => H9: 1,2
* CNT   1 HDP CHAINS /  43 HYP OPENED
* REASONING H7,I8: 3..
* DIS # I8: 3 # H9: 5,9 => CTR => H9: 1,2
* CNT   1 HDP CHAINS /  39 HYP OPENED
* DCP COUNT: (11)
* CLUE FOUND

Header Info

40634;12_07;GP;24;11.30;11.30;10.60

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # C7: 4,8 => UNS
* INC # C7: 3,7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # C7: 4,8 => UNS
* INC # C7: 3,7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # C7: 4,8 => UNS
* INC # C7: 3,7 => UNS
* INC # C7: 4,8 # A8: 4,8 => UNS
* INC # C7: 4,8 # A8: 2,3,5 => UNS
* INC # C7: 4,8 # C5: 4,8 => UNS
* INC # C7: 4,8 # C5: 3,7 => UNS
* INC # C7: 4,8 # E9: 5,7 => UNS
* INC # C7: 4,8 # E9: 1,6 => UNS
* INC # C7: 4,8 # B7: 5,7 => UNS
* INC # C7: 4,8 # B7: 3,9 => UNS
* INC # C7: 4,8 # H7: 5,9 => UNS
* INC # C7: 4,8 # H9: 5,9 => UNS
* INC # C7: 4,8 # I9: 5,9 => UNS
* INC # C7: 4,8 # B7: 5,9 => UNS
* INC # C7: 4,8 # B7: 3,7 => UNS
* INC # C7: 4,8 # G2: 5,9 => UNS
* INC # C7: 4,8 # G5: 5,9 => UNS
* INC # C7: 4,8 => UNS
* INC # C7: 3,7 # B7: 3,7 => UNS
* INC # C7: 3,7 # B7: 4,5,9 => UNS
* INC # C7: 3,7 # C5: 3,7 => UNS
* INC # C7: 3,7 # C5: 4,8 => UNS
* INC # C7: 3,7 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F7,E9: 7..:

* INC # E9: 7 # E2: 1,9 => UNS
* INC # E9: 7 # E2: 3,4,5,6 => UNS
* INC # E9: 7 # A5: 3,8 => UNS
* INC # E9: 7 # C5: 3,8 => UNS
* INC # E9: 7 # B6: 1,3 => UNS
* INC # E9: 7 # B6: 4,7 => UNS
* INC # E9: 7 # E1: 1,3 => UNS
* INC # E9: 7 # E2: 1,3 => UNS
* INC # E9: 7 # B7: 5,9 => UNS
* INC # E9: 7 # B7: 3,4,7 => UNS
* INC # E9: 7 # I9: 5,9 => UNS
* INC # E9: 7 # I9: 2,8 => UNS
* INC # E9: 7 # A8: 2,8 => UNS
* INC # E9: 7 # A9: 2,8 => UNS
* INC # E9: 7 # I9: 2,8 => UNS
* INC # E9: 7 # I9: 5,9 => UNS
* INC # E9: 7 # C7: 4,8 => UNS
* INC # E9: 7 # C7: 3,7 => UNS
* INC # E9: 7 # F8: 5,8 => UNS
* INC # E9: 7 # F8: 1 => UNS
* INC # E9: 7 # G7: 5,8 => UNS
* INC # E9: 7 # G7: 9 => UNS
* INC # E9: 7 => UNS
* INC # F7: 7 # C7: 4,8 => UNS
* INC # F7: 7 # C7: 3 => UNS
* INC # F7: 7 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for D7,E8: 4..:

* INC # E8: 4 # F6: 1,2 => UNS
* INC # E8: 4 # F6: 7,8 => UNS
* INC # E8: 4 # D2: 1,2 => UNS
* INC # E8: 4 # D3: 1,2 => UNS
* INC # E8: 4 # E5: 3,6 => UNS
* INC # E8: 4 # E5: 7,9 => UNS
* INC # E8: 4 # D2: 3,6 => UNS
* INC # E8: 4 # D3: 3,6 => UNS
* INC # E8: 4 # B7: 3,5 => UNS
* INC # E8: 4 # A8: 3,5 => UNS
* INC # E8: 4 # I8: 3,5 => UNS
* INC # E8: 4 # I8: 2,8 => UNS
* INC # E8: 4 # E9: 5,7 => UNS
* INC # E8: 4 # E9: 1,6 => UNS
* INC # E8: 4 # B7: 5,7 => UNS
* INC # E8: 4 # B7: 3,4,9 => UNS
* INC # E8: 4 # E9: 1,5 => UNS
* INC # E8: 4 # E9: 6,7 => UNS
* INC # E8: 4 # G8: 1,5 => UNS
* INC # E8: 4 # G8: 2,8 => UNS
* INC # E8: 4 # F1: 1,5 => UNS
* INC # E8: 4 # F2: 1,5 => UNS
* INC # E8: 4 # E9: 1,6 => UNS
* INC # E8: 4 # E9: 5,7 => UNS
* INC # E8: 4 # D2: 1,6 => UNS
* INC # E8: 4 # D3: 1,6 => UNS
* INC # E8: 4 # H7: 5,9 => UNS
* INC # E8: 4 # H9: 5,9 => UNS
* INC # E8: 4 # I9: 5,9 => UNS
* INC # E8: 4 # B7: 5,9 => UNS
* INC # E8: 4 # B7: 3,4,7 => UNS
* INC # E8: 4 # G2: 5,9 => UNS
* INC # E8: 4 # G5: 5,9 => UNS
* INC # E8: 4 => UNS
* INC # D7: 4 # F8: 1,5 => UNS
* INC # D7: 4 # E9: 1,5 => UNS
* INC # D7: 4 # G8: 1,5 => UNS
* INC # D7: 4 # G8: 2,8 => UNS
* INC # D7: 4 # E1: 1,5 => UNS
* INC # D7: 4 # E2: 1,5 => UNS
* INC # D7: 4 => UNS
* CNT  41 HDP CHAINS /  41 HYP OPENED

Full list of HDP chains traversed for G8,H9: 1..:

* DIS # G8: 1 # B7: 3,4 => CTR => B7: 5,9
* INC # G8: 1 + B7: 5,9 # C7: 3,4 => UNS
* DIS # G8: 1 + B7: 5,9 # A8: 3,4 => CTR => A8: 2,8
* INC # G8: 1 + B7: 5,9 + A8: 2,8 # B2: 3,4 => UNS
* INC # G8: 1 + B7: 5,9 + A8: 2,8 # B3: 3,4 => UNS
* INC # G8: 1 + B7: 5,9 + A8: 2,8 # B6: 3,4 => UNS
* INC # G8: 1 + B7: 5,9 + A8: 2,8 # E1: 4,5 => UNS
* INC # G8: 1 + B7: 5,9 + A8: 2,8 # E2: 4,5 => UNS
* INC # G8: 1 + B7: 5,9 + A8: 2,8 # D2: 1,6 => UNS
* INC # G8: 1 + B7: 5,9 + A8: 2,8 # D3: 1,6 => UNS
* INC # G8: 1 + B7: 5,9 + A8: 2,8 # E2: 1,6 => UNS
* INC # G8: 1 + B7: 5,9 + A8: 2,8 # E2: 3,4,5,9 => UNS
* INC # G8: 1 + B7: 5,9 + A8: 2,8 # B9: 5,9 => UNS
* INC # G8: 1 + B7: 5,9 + A8: 2,8 # B9: 7 => UNS
* INC # G8: 1 + B7: 5,9 + A8: 2,8 # G7: 5,9 => UNS
* DIS # G8: 1 + B7: 5,9 + A8: 2,8 # H7: 5,9 => CTR => H7: 3
* DIS # G8: 1 + B7: 5,9 + A8: 2,8 + H7: 3 # B9: 5,9 => CTR => B9: 7
* DIS # G8: 1 + B7: 5,9 + A8: 2,8 + H7: 3 + B9: 7 => CTR => G8: 2,5,8
* INC G8: 2,5,8 # H9: 1 => UNS
* STA G8: 2,5,8
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for B4,A5: 5..:

* INC # B4: 5 # I4: 2,9 => UNS
* INC # B4: 5 # I4: 7,8 => UNS
* INC # B4: 5 # H3: 2,9 => UNS
* INC # B4: 5 # H9: 2,9 => UNS
* INC # B4: 5 # B7: 3,4 => UNS
* INC # B4: 5 # C7: 3,4 => UNS
* INC # B4: 5 # A8: 3,4 => UNS
* INC # B4: 5 # B2: 3,4 => UNS
* INC # B4: 5 # B3: 3,4 => UNS
* INC # B4: 5 # B6: 3,4 => UNS
* INC # B4: 5 # B7: 7,9 => UNS
* INC # B4: 5 # B7: 3,4 => UNS
* INC # B4: 5 # C7: 4,8 => UNS
* INC # B4: 5 # C7: 3,7 => UNS
* INC # B4: 5 => UNS
* INC # A5: 5 # C4: 1,7 => UNS
* INC # A5: 5 # B6: 1,7 => UNS
* INC # A5: 5 # E4: 1,7 => UNS
* INC # A5: 5 # E4: 9 => UNS
* INC # A5: 5 # H3: 4,9 => UNS
* INC # A5: 5 # H3: 1,2,3 => UNS
* INC # A5: 5 # A8: 2,8 => UNS
* INC # A5: 5 # C9: 2,8 => UNS
* INC # A5: 5 # I9: 2,8 => UNS
* INC # A5: 5 # I9: 5,9 => UNS
* INC # A5: 5 # C7: 4,8 => UNS
* INC # A5: 5 # C7: 3,7 => UNS
* INC # A5: 5 => UNS
* CNT  28 HDP CHAINS /  28 HYP OPENED

Full list of HDP chains traversed for D4,F6: 2..:

* INC # F6: 2 # E1: 1,5 => UNS
* INC # F6: 2 # E2: 1,5 => UNS
* INC # F6: 2 # F2: 1,5 => UNS
* INC # F6: 2 # H1: 1,5 => UNS
* INC # F6: 2 # H1: 2,3,4 => UNS
* INC # F6: 2 # F8: 1,5 => UNS
* INC # F6: 2 # F8: 8 => UNS
* INC # F6: 2 # C4: 1,8 => UNS
* INC # F6: 2 # C4: 7 => UNS
* INC # F6: 2 # D9: 1,8 => UNS
* INC # F6: 2 # D9: 6 => UNS
* INC # F6: 2 # I4: 7,8 => UNS
* INC # F6: 2 # G5: 7,8 => UNS
* INC # F6: 2 # I6: 7,8 => UNS
* INC # F6: 2 # C7: 4,8 => UNS
* INC # F6: 2 # C7: 3,7 => UNS
* INC # F6: 2 => UNS
* INC # D4: 2 # I4: 5,9 => UNS
* INC # D4: 2 # G5: 5,9 => UNS
* INC # D4: 2 # H5: 5,9 => UNS
* INC # D4: 2 # H7: 5,9 => UNS
* DIS # D4: 2 # H9: 5,9 => CTR => H9: 1,2
* INC # D4: 2 + H9: 1,2 # H7: 5,9 => UNS
* INC # D4: 2 + H9: 1,2 # H7: 3 => UNS
* INC # D4: 2 + H9: 1,2 # I4: 5,9 => UNS
* INC # D4: 2 + H9: 1,2 # G5: 5,9 => UNS
* INC # D4: 2 + H9: 1,2 # H5: 5,9 => UNS
* INC # D4: 2 + H9: 1,2 # H7: 5,9 => UNS
* INC # D4: 2 + H9: 1,2 # H7: 3 => UNS
* INC # D4: 2 + H9: 1,2 # C7: 4,8 => UNS
* INC # D4: 2 + H9: 1,2 # C7: 3,7 => UNS
* INC # D4: 2 + H9: 1,2 # I4: 5,9 => UNS
* INC # D4: 2 + H9: 1,2 # G5: 5,9 => UNS
* INC # D4: 2 + H9: 1,2 # H5: 5,9 => UNS
* INC # D4: 2 + H9: 1,2 # H7: 5,9 => UNS
* INC # D4: 2 + H9: 1,2 # H7: 3 => UNS
* INC # D4: 2 + H9: 1,2 # C7: 4,8 => UNS
* INC # D4: 2 + H9: 1,2 # C7: 3,7 => UNS
* INC # D4: 2 + H9: 1,2 # G8: 1,2 => UNS
* INC # D4: 2 + H9: 1,2 # G8: 5,8 => UNS
* INC # D4: 2 + H9: 1,2 # H1: 1,2 => UNS
* INC # D4: 2 + H9: 1,2 # H3: 1,2 => UNS
* INC # D4: 2 + H9: 1,2 => UNS
* CNT  43 HDP CHAINS /  43 HYP OPENED

Full list of HDP chains traversed for B7,B9: 9..:

* INC # B7: 9 # E9: 5,7 => UNS
* INC # B7: 9 # E9: 1,6 => UNS
* INC # B7: 9 # B4: 5,7 => UNS
* INC # B7: 9 # B4: 1 => UNS
* INC # B7: 9 # C7: 4,8 => UNS
* INC # B7: 9 # C7: 3,7 => UNS
* INC # B7: 9 # G8: 5,8 => UNS
* INC # B7: 9 # I8: 5,8 => UNS
* INC # B7: 9 # I9: 5,8 => UNS
* INC # B7: 9 # F7: 5,8 => UNS
* INC # B7: 9 # F7: 7 => UNS
* INC # B7: 9 # G5: 5,8 => UNS
* INC # B7: 9 # G5: 7,9 => UNS
* INC # B7: 9 # I8: 3,5 => UNS
* INC # B7: 9 # I8: 2,8 => UNS
* INC # B7: 9 # H1: 3,5 => UNS
* INC # B7: 9 # H1: 1,2,4 => UNS
* INC # B7: 9 => UNS
* INC # B9: 9 # C7: 4,8 => UNS
* INC # B9: 9 # C7: 3,7 => UNS
* INC # B9: 9 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for D9,E9: 6..:

* INC # E9: 6 # B7: 3,4 => UNS
* INC # E9: 6 # C7: 3,4 => UNS
* INC # E9: 6 # A8: 3,4 => UNS
* INC # E9: 6 # B2: 3,4 => UNS
* INC # E9: 6 # B3: 3,4 => UNS
* INC # E9: 6 # B6: 3,4 => UNS
* INC # E9: 6 # C7: 4,8 => UNS
* INC # E9: 6 # C7: 3 => UNS
* INC # E9: 6 # F8: 1,8 => UNS
* INC # E9: 6 # F8: 5 => UNS
* INC # E9: 6 # D4: 1,8 => UNS
* INC # E9: 6 # D4: 2 => UNS
* INC # E9: 6 => UNS
* INC # D9: 6 # A5: 3,8 => UNS
* INC # D9: 6 # C5: 3,8 => UNS
* INC # D9: 6 # C7: 4,8 => UNS
* INC # D9: 6 # C7: 3,7 => UNS
* INC # D9: 6 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for H5,I6: 4..:

* INC # I6: 4 # A5: 3,8 => UNS
* INC # I6: 4 # C5: 3,8 => UNS
* INC # I6: 4 # A8: 3,8 => UNS
* INC # I6: 4 # A8: 2,4,5 => UNS
* INC # I6: 4 # H4: 5,9 => UNS
* INC # I6: 4 # I4: 5,9 => UNS
* INC # I6: 4 # G5: 5,9 => UNS
* INC # I6: 4 # H7: 5,9 => UNS
* INC # I6: 4 # H9: 5,9 => UNS
* INC # I6: 4 # C7: 4,8 => UNS
* INC # I6: 4 # C7: 3,7 => UNS
* INC # I6: 4 => UNS
* INC # H5: 4 # C7: 4,8 => UNS
* INC # H5: 4 # C7: 3,7 => UNS
* INC # H5: 4 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for H7,I8: 3..:

* INC # I8: 3 # B7: 4,5 => UNS
* INC # I8: 3 # A8: 4,5 => UNS
* INC # I8: 3 # E8: 4,5 => UNS
* INC # I8: 3 # E8: 1 => UNS
* INC # I8: 3 # C7: 4,8 => UNS
* INC # I8: 3 # C7: 3,7 => UNS
* INC # I8: 3 # G7: 5,9 => UNS
* DIS # I8: 3 # H9: 5,9 => CTR => H9: 1,2
* INC # I8: 3 + H9: 1,2 # I9: 5,9 => UNS
* INC # I8: 3 + H9: 1,2 # B7: 5,9 => UNS
* INC # I8: 3 + H9: 1,2 # B7: 3,4,7 => UNS
* INC # I8: 3 + H9: 1,2 # H4: 5,9 => UNS
* INC # I8: 3 + H9: 1,2 # H5: 5,9 => UNS
* INC # I8: 3 + H9: 1,2 # G7: 5,9 => UNS
* INC # I8: 3 + H9: 1,2 # I9: 5,9 => UNS
* INC # I8: 3 + H9: 1,2 # B7: 5,9 => UNS
* INC # I8: 3 + H9: 1,2 # B7: 3,4,7 => UNS
* INC # I8: 3 + H9: 1,2 # H4: 5,9 => UNS
* INC # I8: 3 + H9: 1,2 # H5: 5,9 => UNS
* INC # I8: 3 + H9: 1,2 # B7: 4,5 => UNS
* INC # I8: 3 + H9: 1,2 # A8: 4,5 => UNS
* INC # I8: 3 + H9: 1,2 # E8: 4,5 => UNS
* INC # I8: 3 + H9: 1,2 # E8: 1 => UNS
* INC # I8: 3 + H9: 1,2 # C7: 4,8 => UNS
* INC # I8: 3 + H9: 1,2 # C7: 3,7 => UNS
* INC # I8: 3 + H9: 1,2 # G7: 5,9 => UNS
* INC # I8: 3 + H9: 1,2 # I9: 5,9 => UNS
* INC # I8: 3 + H9: 1,2 # B7: 5,9 => UNS
* INC # I8: 3 + H9: 1,2 # B7: 3,4,7 => UNS
* INC # I8: 3 + H9: 1,2 # H4: 5,9 => UNS
* INC # I8: 3 + H9: 1,2 # H5: 5,9 => UNS
* INC # I8: 3 + H9: 1,2 # G8: 1,2 => UNS
* INC # I8: 3 + H9: 1,2 # G8: 5,8 => UNS
* INC # I8: 3 + H9: 1,2 # H1: 1,2 => UNS
* INC # I8: 3 + H9: 1,2 # H3: 1,2 => UNS
* INC # I8: 3 + H9: 1,2 => UNS
* INC # H7: 3 # C7: 4,8 => UNS
* INC # H7: 3 # C7: 7 => UNS
* INC # H7: 3 => UNS
* CNT  39 HDP CHAINS /  39 HYP OPENED

Full list of HDP chains traversed for G3,I3: 7..:

* INC # G3: 7 # I4: 2,8 => UNS
* INC # G3: 7 # I6: 2,8 => UNS
* INC # G3: 7 # F6: 2,8 => UNS
* INC # G3: 7 # F6: 1,7 => UNS
* INC # G3: 7 # G8: 2,8 => UNS
* INC # G3: 7 # G8: 1,5 => UNS
* INC # G3: 7 # C7: 4,8 => UNS
* INC # G3: 7 # C7: 3,7 => UNS
* INC # G3: 7 => UNS
* INC # I3: 7 # C7: 4,8 => UNS
* INC # I3: 7 # C7: 3,7 => UNS
* INC # I3: 7 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for B2,B3: 6..:

* INC # B2: 6 # C7: 4,8 => UNS
* INC # B2: 6 # C7: 3,7 => UNS
* INC # B2: 6 => UNS
* INC # B3: 6 # C7: 4,8 => UNS
* INC # B3: 6 # C7: 3,7 => UNS
* INC # B3: 6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED