Analysis of xx-ph-00013757-kz0-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..75..4......3..9.7.8....5.9.....2.1..........63.......1.9...8.5....4..2.. initial

Autosolve

position: 98.7..6..75..4......3..9.7.8....5.9.....2.1..........63.......1.9...8.5....4..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

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: 0:00:00.000013

List of important HDP chains detected for D3,D7: 5..:

* DIS # D3: 5 # D2: 1,3 => CTR => D2: 2,6,8
* DIS # D3: 5 + D2: 2,6,8 # E6: 1,3 => CTR => E6: 7,8,9
* DIS # D3: 5 + D2: 2,6,8 + E6: 7,8,9 # E9: 1,3 => CTR => E9: 5,6,7,9
* CNT   3 HDP CHAINS /  31 HYP OPENED

List of important HDP chains detected for E1,I1: 5..:

* DIS # I1: 5 # D2: 1,3 => CTR => D2: 2,6,8
* DIS # I1: 5 + D2: 2,6,8 # E6: 1,3 => CTR => E6: 7,8,9
* CNT   2 HDP CHAINS /  33 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: 0:00:44.482681

List of important HDP chains detected for H7,H9: 6..:

* DIS # H9: 6 # C9: 1,5 # D2: 1,2 => CTR => D2: 3,6,8
* DIS # H9: 6 # C9: 1,5 + D2: 3,6,8 # C1: 1,2 => CTR => C1: 4
* DIS # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 # H1: 3 => CTR => H1: 1,2
* DIS # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 + H1: 1,2 # H2: 3,8 => CTR => H2: 1,2
* PRF # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 + H1: 1,2 + H2: 1,2 # D7: 2,6 => SOL
* STA # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 + H1: 1,2 + H2: 1,2 + D7: 2,6
* CNT   5 HDP CHAINS /  33 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

98.7..6..75..4......3..9.7.8....5.9.....2.1..........63.......1.9...8.5....4..2.. initial
98.7..6..75..4......3..9.7.8....5.9.....2.1..........63.......1.9...8.5....4..2.. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H1,H2: 1.. / H1 = 1  =>  3 pairs (_) / H2 = 1  =>  1 pairs (_)
I4,H6: 2.. / I4 = 2  =>  2 pairs (_) / H6 = 2  =>  0 pairs (_)
F5,F6: 4.. / F5 = 4  =>  2 pairs (_) / F6 = 4  =>  0 pairs (_)
I5,G6: 5.. / I5 = 5  =>  1 pairs (_) / G6 = 5  =>  1 pairs (_)
E1,I1: 5.. / E1 = 5  =>  0 pairs (_) / I1 = 5  =>  2 pairs (_)
D3,D7: 5.. / D3 = 5  =>  2 pairs (_) / D7 = 5  =>  0 pairs (_)
G3,G6: 5.. / G3 = 5  =>  1 pairs (_) / G6 = 5  =>  1 pairs (_)
H7,H9: 6.. / H7 = 6  =>  2 pairs (_) / H9 = 6  =>  3 pairs (_)
C7,C9: 8.. / C7 = 8  =>  1 pairs (_) / C9 = 8  =>  1 pairs (_)
E3,E6: 8.. / E3 = 8  =>  1 pairs (_) / E6 = 8  =>  0 pairs (_)
G2,I2: 9.. / G2 = 9  =>  0 pairs (_) / I2 = 9  =>  1 pairs (_)
C5,C6: 9.. / C5 = 9  =>  0 pairs (_) / C6 = 9  =>  0 pairs (_)
G7,I9: 9.. / G7 = 9  =>  1 pairs (_) / I9 = 9  =>  0 pairs (_)
C5,D5: 9.. / C5 = 9  =>  0 pairs (_) / D5 = 9  =>  0 pairs (_)
E9,I9: 9.. / E9 = 9  =>  1 pairs (_) / I9 = 9  =>  0 pairs (_)
G2,G7: 9.. / G2 = 9  =>  0 pairs (_) / G7 = 9  =>  1 pairs (_)
I2,I9: 9.. / I2 = 9  =>  1 pairs (_) / I9 = 9  =>  0 pairs (_)
* DURATION: 0:00:12.790802  START: 18:26:55.595709  END: 18:27:08.386511 2020-12-02
* CP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H7,H9: 6.. / H7 = 6 ==>  2 pairs (_) / H9 = 6 ==>  3 pairs (_)
H1,H2: 1.. / H1 = 1 ==>  3 pairs (_) / H2 = 1 ==>  1 pairs (_)
D3,D7: 5.. / D3 = 5 ==>  2 pairs (_) / D7 = 5 ==>  0 pairs (_)
E1,I1: 5.. / E1 = 5 ==>  0 pairs (_) / I1 = 5 ==>  2 pairs (_)
F5,F6: 4.. / F5 = 4 ==>  2 pairs (_) / F6 = 4 ==>  0 pairs (_)
I4,H6: 2.. / I4 = 2 ==>  2 pairs (_) / H6 = 2 ==>  0 pairs (_)
C7,C9: 8.. / C7 = 8 ==>  1 pairs (_) / C9 = 8 ==>  1 pairs (_)
G3,G6: 5.. / G3 = 5 ==>  1 pairs (_) / G6 = 5 ==>  1 pairs (_)
I5,G6: 5.. / I5 = 5 ==>  1 pairs (_) / G6 = 5 ==>  1 pairs (_)
I2,I9: 9.. / I2 = 9 ==>  1 pairs (_) / I9 = 9 ==>  0 pairs (_)
G2,G7: 9.. / G2 = 9 ==>  0 pairs (_) / G7 = 9 ==>  1 pairs (_)
E9,I9: 9.. / E9 = 9 ==>  1 pairs (_) / I9 = 9 ==>  0 pairs (_)
G7,I9: 9.. / G7 = 9 ==>  1 pairs (_) / I9 = 9 ==>  0 pairs (_)
G2,I2: 9.. / G2 = 9 ==>  0 pairs (_) / I2 = 9 ==>  1 pairs (_)
E3,E6: 8.. / E3 = 8 ==>  1 pairs (_) / E6 = 8 ==>  0 pairs (_)
C5,D5: 9.. / C5 = 9 ==>  0 pairs (_) / D5 = 9 ==>  0 pairs (_)
C5,C6: 9.. / C5 = 9 ==>  0 pairs (_) / C6 = 9 ==>  0 pairs (_)
* DURATION: 0:02:02.068661  START: 18:27:08.387428  END: 18:29:10.456089 2020-12-02
* REASONING D3,D7: 5..
* DIS # D3: 5 # D2: 1,3 => CTR => D2: 2,6,8
* DIS # D3: 5 + D2: 2,6,8 # E6: 1,3 => CTR => E6: 7,8,9
* DIS # D3: 5 + D2: 2,6,8 + E6: 7,8,9 # E9: 1,3 => CTR => E9: 5,6,7,9
* CNT   3 HDP CHAINS /  31 HYP OPENED
* REASONING E1,I1: 5..
* DIS # I1: 5 # D2: 1,3 => CTR => D2: 2,6,8
* DIS # I1: 5 + D2: 2,6,8 # E6: 1,3 => CTR => E6: 7,8,9
* CNT   2 HDP CHAINS /  33 HYP OPENED
* DCP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
H7,H9: 6.. / H7 = 6  =>  0 pairs (X) / H9 = 6 ==>  0 pairs (*)
* DURATION: 0:00:44.481271  START: 18:29:10.648489  END: 18:29:55.129760 2020-12-02
* REASONING H7,H9: 6..
* DIS # H9: 6 # C9: 1,5 # D2: 1,2 => CTR => D2: 3,6,8
* DIS # H9: 6 # C9: 1,5 + D2: 3,6,8 # C1: 1,2 => CTR => C1: 4
* DIS # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 # H1: 3 => CTR => H1: 1,2
* DIS # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 + H1: 1,2 # H2: 3,8 => CTR => H2: 1,2
* PRF # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 + H1: 1,2 + H2: 1,2 # D7: 2,6 => SOL
* STA # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 + H1: 1,2 + H2: 1,2 + D7: 2,6
* CNT   5 HDP CHAINS /  33 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

13757;kz0;GP;23;11.30;11.30;9.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H7,H9: 6..:

* INC # H9: 6 # C9: 1,5 => UNS
* INC # H9: 6 # C9: 7,8 => UNS
* INC # H9: 6 # E9: 1,5 => UNS
* INC # H9: 6 # E9: 3,7,9 => UNS
* INC # H9: 6 # A6: 1,5 => UNS
* INC # H9: 6 # A6: 2,4 => UNS
* INC # H9: 6 # C8: 1,7 => UNS
* INC # H9: 6 # C9: 1,7 => UNS
* INC # H9: 6 # E9: 1,7 => UNS
* INC # H9: 6 # F9: 1,7 => UNS
* INC # H9: 6 # B4: 1,7 => UNS
* INC # H9: 6 # B6: 1,7 => UNS
* INC # H9: 6 # G7: 4,8 => UNS
* INC # H9: 6 # G7: 7,9 => UNS
* INC # H9: 6 # C7: 4,8 => UNS
* INC # H9: 6 # C7: 2,5,6,7 => UNS
* INC # H9: 6 # H5: 4,8 => UNS
* INC # H9: 6 # H6: 4,8 => UNS
* INC # H9: 6 => UNS
* INC # H7: 6 # B7: 2,7 => UNS
* INC # H7: 6 # C7: 2,7 => UNS
* INC # H7: 6 # I9: 3,8 => UNS
* INC # H7: 6 # I9: 7,9 => UNS
* INC # H7: 6 # H2: 3,8 => UNS
* INC # H7: 6 # H5: 3,8 => UNS
* INC # H7: 6 # H6: 3,8 => UNS
* INC # H7: 6 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for H1,H2: 1..:

* INC # H1: 1 # A3: 2,4 => UNS
* INC # H1: 1 # B3: 2,4 => UNS
* INC # H1: 1 # I1: 2,4 => UNS
* INC # H1: 1 # I1: 3,5 => UNS
* INC # H1: 1 # C4: 2,4 => UNS
* INC # H1: 1 # C6: 2,4 => UNS
* INC # H1: 1 # C7: 2,4 => UNS
* INC # H1: 1 # C8: 2,4 => UNS
* INC # H1: 1 # I1: 3,5 => UNS
* INC # H1: 1 # I1: 2,4 => UNS
* INC # H1: 1 # E9: 3,5 => UNS
* INC # H1: 1 # E9: 1,6,7,9 => UNS
* INC # H1: 1 # D2: 2,3 => UNS
* INC # H1: 1 # F2: 2,3 => UNS
* INC # H1: 1 # I1: 2,3 => UNS
* INC # H1: 1 # I1: 4,5 => UNS
* INC # H1: 1 => UNS
* INC # H2: 1 # A3: 2,6 => UNS
* INC # H2: 1 # B3: 2,6 => UNS
* INC # H2: 1 # D2: 2,6 => UNS
* INC # H2: 1 # F2: 2,6 => UNS
* INC # H2: 1 # C4: 2,6 => UNS
* INC # H2: 1 # C7: 2,6 => UNS
* INC # H2: 1 # C8: 2,6 => UNS
* INC # H2: 1 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for D3,D7: 5..:

* INC # D3: 5 # F1: 1,3 => UNS
* DIS # D3: 5 # D2: 1,3 => CTR => D2: 2,6,8
* INC # D3: 5 + D2: 2,6,8 # F2: 1,3 => UNS
* INC # D3: 5 + D2: 2,6,8 # H1: 1,3 => UNS
* INC # D3: 5 + D2: 2,6,8 # H1: 2,4 => UNS
* INC # D3: 5 + D2: 2,6,8 # E4: 1,3 => UNS
* DIS # D3: 5 + D2: 2,6,8 # E6: 1,3 => CTR => E6: 7,8,9
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 # E8: 1,3 => UNS
* DIS # D3: 5 + D2: 2,6,8 + E6: 7,8,9 # E9: 1,3 => CTR => E9: 5,6,7,9
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # F1: 1,3 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # F2: 1,3 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # H1: 1,3 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # H1: 2,4 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # E4: 1,3 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # E8: 1,3 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # I3: 4,8 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # I3: 2 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # G7: 4,8 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # G7: 7,9 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # F1: 1,3 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # F2: 1,3 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # H1: 1,3 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # H1: 2,4 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # E4: 1,3 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # E8: 1,3 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # I3: 4,8 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # I3: 2 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # G7: 4,8 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 # G7: 7,9 => UNS
* INC # D3: 5 + D2: 2,6,8 + E6: 7,8,9 + E9: 5,6,7,9 => UNS
* INC # D7: 5 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for E1,I1: 5..:

* INC # I1: 5 # F1: 1,3 => UNS
* DIS # I1: 5 # D2: 1,3 => CTR => D2: 2,6,8
* INC # I1: 5 + D2: 2,6,8 # F2: 1,3 => UNS
* INC # I1: 5 + D2: 2,6,8 # H1: 1,3 => UNS
* INC # I1: 5 + D2: 2,6,8 # H1: 2,4 => UNS
* INC # I1: 5 + D2: 2,6,8 # E4: 1,3 => UNS
* DIS # I1: 5 + D2: 2,6,8 # E6: 1,3 => CTR => E6: 7,8,9
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # E8: 1,3 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # E9: 1,3 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # F1: 1,3 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # F2: 1,3 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # H1: 1,3 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # H1: 2,4 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # E4: 1,3 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # E8: 1,3 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # E9: 1,3 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # I3: 4,8 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # I3: 2 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # G7: 4,8 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # G7: 7,9 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # F1: 1,3 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # F2: 1,3 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # H1: 1,3 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # H1: 2,4 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # E4: 1,3 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # E8: 1,3 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # E9: 1,3 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # I3: 4,8 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # I3: 2 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # G7: 4,8 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 # G7: 7,9 => UNS
* INC # I1: 5 + D2: 2,6,8 + E6: 7,8,9 => UNS
* INC # E1: 5 => UNS
* CNT  33 HDP CHAINS /  33 HYP OPENED

Full list of HDP chains traversed for F5,F6: 4..:

* INC # F5: 4 # C5: 5,6 => UNS
* INC # F5: 4 # C5: 7,9 => UNS
* INC # F5: 4 # A9: 5,6 => UNS
* INC # F5: 4 # A9: 1 => UNS
* INC # F5: 4 # I5: 3,8 => UNS
* INC # F5: 4 # G6: 3,8 => UNS
* INC # F5: 4 # H6: 3,8 => UNS
* INC # F5: 4 # D5: 3,8 => UNS
* INC # F5: 4 # D5: 6,9 => UNS
* INC # F5: 4 # H2: 3,8 => UNS
* INC # F5: 4 # H9: 3,8 => UNS
* INC # F5: 4 => UNS
* INC # F6: 4 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for I4,H6: 2..:

* INC # I4: 2 # C1: 1,2 => UNS
* INC # I4: 2 # F1: 1,2 => UNS
* INC # I4: 2 # C2: 1,2 => UNS
* INC # I4: 2 # D2: 1,2 => UNS
* INC # I4: 2 # F2: 1,2 => UNS
* INC # I4: 2 => UNS
* INC # H6: 2 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

Full list of HDP chains traversed for C7,C9: 8..:

* INC # C7: 8 # B7: 4,6 => UNS
* INC # C7: 8 # B7: 2,7 => UNS
* INC # C7: 8 => UNS
* INC # C9: 8 # E9: 3,6 => UNS
* INC # C9: 8 # F9: 3,6 => UNS
* INC # C9: 8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for G3,G6: 5..:

* INC # G3: 5 # B4: 4,6 => UNS
* INC # G3: 5 # C4: 4,6 => UNS
* INC # G3: 5 # B5: 4,6 => UNS
* INC # G3: 5 # C5: 4,6 => UNS
* INC # G3: 5 # F5: 4,6 => UNS
* INC # G3: 5 # F5: 3,7 => UNS
* INC # G3: 5 # A3: 4,6 => UNS
* INC # G3: 5 # A8: 4,6 => UNS
* INC # G3: 5 => UNS
* INC # G6: 5 # I3: 4,8 => UNS
* INC # G6: 5 # I3: 2,5 => UNS
* INC # G6: 5 # G7: 4,8 => UNS
* INC # G6: 5 # G7: 7,9 => UNS
* INC # G6: 5 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for I5,G6: 5..:

* INC # I5: 5 # B4: 4,6 => UNS
* INC # I5: 5 # C4: 4,6 => UNS
* INC # I5: 5 # B5: 4,6 => UNS
* INC # I5: 5 # C5: 4,6 => UNS
* INC # I5: 5 # F5: 4,6 => UNS
* INC # I5: 5 # F5: 3,7 => UNS
* INC # I5: 5 # A3: 4,6 => UNS
* INC # I5: 5 # A8: 4,6 => UNS
* INC # I5: 5 => UNS
* INC # G6: 5 # I3: 4,8 => UNS
* INC # G6: 5 # I3: 2,5 => UNS
* INC # G6: 5 # G7: 4,8 => UNS
* INC # G6: 5 # G7: 7,9 => UNS
* INC # G6: 5 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for I2,I9: 9..:

* INC # I2: 9 # H2: 3,8 => UNS
* INC # I2: 9 # H2: 1,2 => UNS
* INC # I2: 9 # D2: 3,8 => UNS
* INC # I2: 9 # D2: 1,2,6 => UNS
* INC # I2: 9 # G6: 3,8 => UNS
* INC # I2: 9 # G6: 4,5,7 => UNS
* INC # I2: 9 => UNS
* INC # I9: 9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for G2,G7: 9..:

* INC # G7: 9 # H2: 3,8 => UNS
* INC # G7: 9 # H2: 1,2 => UNS
* INC # G7: 9 # D2: 3,8 => UNS
* INC # G7: 9 # D2: 1,2,6 => UNS
* INC # G7: 9 # G6: 3,8 => UNS
* INC # G7: 9 # G6: 4,5,7 => UNS
* INC # G7: 9 => UNS
* INC # G2: 9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for E9,I9: 9..:

* INC # E9: 9 # H2: 3,8 => UNS
* INC # E9: 9 # H2: 1,2 => UNS
* INC # E9: 9 # D2: 3,8 => UNS
* INC # E9: 9 # D2: 1,2,6 => UNS
* INC # E9: 9 # G6: 3,8 => UNS
* INC # E9: 9 # G6: 4,5,7 => UNS
* INC # E9: 9 => UNS
* INC # I9: 9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for G7,I9: 9..:

* INC # G7: 9 # H2: 3,8 => UNS
* INC # G7: 9 # H2: 1,2 => UNS
* INC # G7: 9 # D2: 3,8 => UNS
* INC # G7: 9 # D2: 1,2,6 => UNS
* INC # G7: 9 # G6: 3,8 => UNS
* INC # G7: 9 # G6: 4,5,7 => UNS
* INC # G7: 9 => UNS
* INC # I9: 9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

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

* INC # I2: 9 # H2: 3,8 => UNS
* INC # I2: 9 # H2: 1,2 => UNS
* INC # I2: 9 # D2: 3,8 => UNS
* INC # I2: 9 # D2: 1,2,6 => UNS
* INC # I2: 9 # G6: 3,8 => UNS
* INC # I2: 9 # G6: 4,5,7 => UNS
* INC # I2: 9 => UNS
* INC # G2: 9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for E3,E6: 8..:

* INC # E3: 8 # I1: 4,5 => UNS
* INC # E3: 8 # I3: 4,5 => UNS
* INC # E3: 8 # G6: 4,5 => UNS
* INC # E3: 8 # G6: 3,7,8 => UNS
* INC # E3: 8 => UNS
* INC # E6: 8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for C5,D5: 9..:

* INC # C5: 9 => UNS
* INC # D5: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C5,C6: 9..:

* INC # C5: 9 => UNS
* INC # C6: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for H7,H9: 6..:

* INC # H9: 6 # C9: 1,5 => UNS
* INC # H9: 6 # C9: 7,8 => UNS
* INC # H9: 6 # E9: 1,5 => UNS
* INC # H9: 6 # E9: 3,7,9 => UNS
* INC # H9: 6 # A6: 1,5 => UNS
* INC # H9: 6 # A6: 2,4 => UNS
* INC # H9: 6 # C8: 1,7 => UNS
* INC # H9: 6 # C9: 1,7 => UNS
* INC # H9: 6 # E9: 1,7 => UNS
* INC # H9: 6 # F9: 1,7 => UNS
* INC # H9: 6 # B4: 1,7 => UNS
* INC # H9: 6 # B6: 1,7 => UNS
* INC # H9: 6 # G7: 4,8 => UNS
* INC # H9: 6 # G7: 7,9 => UNS
* INC # H9: 6 # C7: 4,8 => UNS
* INC # H9: 6 # C7: 2,5,6,7 => UNS
* INC # H9: 6 # H5: 4,8 => UNS
* INC # H9: 6 # H6: 4,8 => UNS
* DIS # H9: 6 # C9: 1,5 # D2: 1,2 => CTR => D2: 3,6,8
* INC # H9: 6 # C9: 1,5 + D2: 3,6,8 # F2: 1,2 => UNS
* INC # H9: 6 # C9: 1,5 + D2: 3,6,8 # D3: 1,2 => UNS
* DIS # H9: 6 # C9: 1,5 + D2: 3,6,8 # C1: 1,2 => CTR => C1: 4
* INC # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 # H1: 1,2 => UNS
* INC # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 # H1: 1,2 => UNS
* DIS # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 # H1: 3 => CTR => H1: 1,2
* INC # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 + H1: 1,2 # F2: 1,2 => UNS
* INC # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 + H1: 1,2 # D3: 1,2 => UNS
* DIS # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 + H1: 1,2 # H2: 3,8 => CTR => H2: 1,2
* INC # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 + H1: 1,2 + H2: 1,2 # D5: 3,8 => UNS
* INC # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 + H1: 1,2 + H2: 1,2 # D5: 6,9 => UNS
* PRF # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 + H1: 1,2 + H2: 1,2 # D7: 2,6 => SOL
* STA # H9: 6 # C9: 1,5 + D2: 3,6,8 + C1: 4 + H1: 1,2 + H2: 1,2 + D7: 2,6
* CNT  31 HDP CHAINS /  33 HYP OPENED