Analysis of xx-ph-00001571-531-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 1......8....7..2....9.3...6..4.9...33..2..1.......8.7.6.......5..59.3....4..6.... initial

Autosolve

position: 1......8....7..2....9.3...6..4.9...33..2..1.....3.8.7.6.......5..59.3....4..6.... 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

Time used: 0:00:00.000014

List of important HDP chains detected for A2,A3: 4..:

* DIS # A3: 4 # G1: 5,7 => CTR => G1: 3,4,9
* DIS # A3: 4 + G1: 3,4,9 # H2: 1,5 => CTR => H2: 3,4,9
* CNT   2 HDP CHAINS /  30 HYP OPENED

List of important HDP chains detected for H4,I6: 2..:

* DIS # I6: 2 # G4: 5,6 => CTR => G4: 8
* DIS # I6: 2 + G4: 8 # B4: 5,6 => CTR => B4: 1,2,7
* CNT   2 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for G4,I5: 8..:

* DIS # I5: 8 # B5: 6,7 => CTR => B5: 5,9
* DIS # I5: 8 + B5: 5,9 # H4: 5,6 => CTR => H4: 2
* DIS # I5: 8 + B5: 5,9 + H4: 2 # B4: 5,6 => CTR => B4: 1,7,8
* CNT   3 HDP CHAINS /  41 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: 0:00:46.843615

List of important HDP chains detected for D1,D4: 6..:

* DIS # D4: 6 # E1: 4,5 # E5: 4,5 => CTR => E5: 7
* DIS # D4: 6 # E1: 4,5 + E5: 7 # E6: 1 => CTR => E6: 4,5
* DIS # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 # I9: 7,9 => CTR => I9: 1,2,8
* PRF # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 + I9: 1,2,8 # A4: 2,5 => SOL
* STA # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 + I9: 1,2,8 + A4: 2,5
* CNT   4 HDP CHAINS /  28 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

1......8....7..2....9.3...6..4.9...33..2..1.......8.7.6.......5..59.3....4..6.... initial
1......8....7..2....9.3...6..4.9...33..2..1.....3.8.7.6.......5..59.3....4..6.... autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H4,I6: 2.. / H4 = 2  =>  1 pairs (_) / I6 = 2  =>  3 pairs (_)
G1,H2: 3.. / G1 = 3  =>  0 pairs (_) / H2 = 3  =>  1 pairs (_)
A2,A3: 4.. / A2 = 4  =>  1 pairs (_) / A3 = 4  =>  3 pairs (_)
D9,F9: 5.. / D9 = 5  =>  2 pairs (_) / F9 = 5  =>  1 pairs (_)
G8,H8: 6.. / G8 = 6  =>  2 pairs (_) / H8 = 6  =>  1 pairs (_)
D1,D4: 6.. / D1 = 6  =>  1 pairs (_) / D4 = 6  =>  5 pairs (_)
E2,D3: 8.. / E2 = 8  =>  2 pairs (_) / D3 = 8  =>  2 pairs (_)
G4,I5: 8.. / G4 = 8  =>  1 pairs (_) / I5 = 8  =>  2 pairs (_)
F1,F2: 9.. / F1 = 9  =>  1 pairs (_) / F2 = 9  =>  1 pairs (_)
B7,A9: 9.. / B7 = 9  =>  2 pairs (_) / A9 = 9  =>  1 pairs (_)
A6,A9: 9.. / A6 = 9  =>  2 pairs (_) / A9 = 9  =>  1 pairs (_)
* DURATION: 0:00:11.200912  START: 15:34:36.180712  END: 15:34:47.381624 2020-11-29
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D1,D4: 6.. / D1 = 6 ==>  1 pairs (_) / D4 = 6 ==>  5 pairs (_)
A2,A3: 4.. / A2 = 4 ==>  1 pairs (_) / A3 = 4 ==>  5 pairs (_)
H4,I6: 2.. / H4 = 2 ==>  1 pairs (_) / I6 = 2 ==>  4 pairs (_)
E2,D3: 8.. / E2 = 8 ==>  2 pairs (_) / D3 = 8 ==>  2 pairs (_)
A6,A9: 9.. / A6 = 9 ==>  2 pairs (_) / A9 = 9 ==>  1 pairs (_)
B7,A9: 9.. / B7 = 9 ==>  2 pairs (_) / A9 = 9 ==>  1 pairs (_)
G4,I5: 8.. / G4 = 8 ==>  1 pairs (_) / I5 = 8 ==>  4 pairs (_)
G8,H8: 6.. / G8 = 6 ==>  2 pairs (_) / H8 = 6 ==>  1 pairs (_)
D9,F9: 5.. / D9 = 5 ==>  2 pairs (_) / F9 = 5 ==>  1 pairs (_)
F1,F2: 9.. / F1 = 9 ==>  1 pairs (_) / F2 = 9 ==>  1 pairs (_)
G1,H2: 3.. / G1 = 3 ==>  0 pairs (_) / H2 = 3 ==>  1 pairs (_)
* DURATION: 0:02:09.124908  START: 15:34:47.382680  END: 15:36:56.507588 2020-11-29
* REASONING A2,A3: 4..
* DIS # A3: 4 # G1: 5,7 => CTR => G1: 3,4,9
* DIS # A3: 4 + G1: 3,4,9 # H2: 1,5 => CTR => H2: 3,4,9
* CNT   2 HDP CHAINS /  30 HYP OPENED
* REASONING H4,I6: 2..
* DIS # I6: 2 # G4: 5,6 => CTR => G4: 8
* DIS # I6: 2 + G4: 8 # B4: 5,6 => CTR => B4: 1,2,7
* CNT   2 HDP CHAINS /  37 HYP OPENED
* REASONING G4,I5: 8..
* DIS # I5: 8 # B5: 6,7 => CTR => B5: 5,9
* DIS # I5: 8 + B5: 5,9 # H4: 5,6 => CTR => H4: 2
* DIS # I5: 8 + B5: 5,9 + H4: 2 # B4: 5,6 => CTR => B4: 1,7,8
* CNT   3 HDP CHAINS /  41 HYP OPENED
* DCP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
D1,D4: 6.. / D1 = 6  =>  0 pairs (X) / D4 = 6 ==>  0 pairs (*)
* DURATION: 0:00:46.841738  START: 15:36:56.638485  END: 15:37:43.480223 2020-11-29
* REASONING D1,D4: 6..
* DIS # D4: 6 # E1: 4,5 # E5: 4,5 => CTR => E5: 7
* DIS # D4: 6 # E1: 4,5 + E5: 7 # E6: 1 => CTR => E6: 4,5
* DIS # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 # I9: 7,9 => CTR => I9: 1,2,8
* PRF # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 + I9: 1,2,8 # A4: 2,5 => SOL
* STA # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 + I9: 1,2,8 + A4: 2,5
* CNT   4 HDP CHAINS /  28 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1571;531;elev;22;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D1,D4: 6..:

* INC # D4: 6 # E1: 4,5 => UNS
* INC # D4: 6 # E2: 4,5 => UNS
* INC # D4: 6 # D3: 4,5 => UNS
* INC # D4: 6 # F3: 4,5 => UNS
* INC # D4: 6 # G1: 4,5 => UNS
* INC # D4: 6 # G1: 3,7,9 => UNS
* INC # D4: 6 # A4: 5,8 => UNS
* INC # D4: 6 # B4: 5,8 => UNS
* INC # D4: 6 # A4: 2,5 => UNS
* INC # D4: 6 # B4: 2,5 => UNS
* INC # D4: 6 => UNS
* INC # D1: 6 # F4: 1,5 => UNS
* INC # D1: 6 # E6: 1,5 => UNS
* INC # D1: 6 # B4: 1,5 => UNS
* INC # D1: 6 # B4: 2,6,7,8 => UNS
* INC # D1: 6 # D3: 1,5 => UNS
* INC # D1: 6 # D9: 1,5 => UNS
* INC # D1: 6 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for A2,A3: 4..:

* INC # A3: 4 # B2: 5,8 => UNS
* INC # A3: 4 # B3: 5,8 => UNS
* INC # A3: 4 # E2: 5,8 => UNS
* INC # A3: 4 # E2: 1,4 => UNS
* INC # A3: 4 # A4: 5,8 => UNS
* INC # A3: 4 # A4: 2,7 => UNS
* DIS # A3: 4 # G1: 5,7 => CTR => G1: 3,4,9
* INC # A3: 4 + G1: 3,4,9 # B3: 5,7 => UNS
* INC # A3: 4 + G1: 3,4,9 # B3: 2,8 => UNS
* DIS # A3: 4 + G1: 3,4,9 # H2: 1,5 => CTR => H2: 3,4,9
* INC # A3: 4 + G1: 3,4,9 + H2: 3,4,9 # B2: 5,8 => UNS
* INC # A3: 4 + G1: 3,4,9 + H2: 3,4,9 # B2: 3,6 => UNS
* INC # A3: 4 + G1: 3,4,9 + H2: 3,4,9 # E2: 5,8 => UNS
* INC # A3: 4 + G1: 3,4,9 + H2: 3,4,9 # E2: 1,4 => UNS
* INC # A3: 4 + G1: 3,4,9 + H2: 3,4,9 # A4: 5,8 => UNS
* INC # A3: 4 + G1: 3,4,9 + H2: 3,4,9 # A4: 2,7 => UNS
* INC # A3: 4 + G1: 3,4,9 + H2: 3,4,9 # E2: 1,8 => UNS
* INC # A3: 4 + G1: 3,4,9 + H2: 3,4,9 # E2: 4,5 => UNS
* INC # A3: 4 + G1: 3,4,9 + H2: 3,4,9 # D7: 1,8 => UNS
* INC # A3: 4 + G1: 3,4,9 + H2: 3,4,9 # D9: 1,8 => UNS
* INC # A3: 4 + G1: 3,4,9 + H2: 3,4,9 # F7: 1,2 => UNS
* INC # A3: 4 + G1: 3,4,9 + H2: 3,4,9 # F9: 1,2 => UNS
* INC # A3: 4 + G1: 3,4,9 + H2: 3,4,9 => UNS
* INC # A2: 4 # H2: 1,9 => UNS
* INC # A2: 4 # H2: 3,5 => UNS
* INC # A2: 4 # F2: 1,9 => UNS
* INC # A2: 4 # F2: 5,6 => UNS
* INC # A2: 4 # I9: 1,9 => UNS
* INC # A2: 4 # I9: 2,7,8 => UNS
* INC # A2: 4 => UNS
* CNT  30 HDP CHAINS /  30 HYP OPENED

Full list of HDP chains traversed for H4,I6: 2..:

* INC # I6: 2 # B5: 5,9 => UNS
* INC # I6: 2 # B6: 5,9 => UNS
* INC # I6: 2 # G6: 5,9 => UNS
* INC # I6: 2 # G6: 4,6 => UNS
* INC # I6: 2 # B4: 1,6 => UNS
* INC # I6: 2 # B6: 1,6 => UNS
* DIS # I6: 2 # G4: 5,6 => CTR => G4: 8
* INC # I6: 2 + G4: 8 # H5: 5,6 => UNS
* INC # I6: 2 + G4: 8 # G6: 5,6 => UNS
* DIS # I6: 2 + G4: 8 # B4: 5,6 => CTR => B4: 1,2,7
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # D4: 5,6 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # F4: 5,6 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # H5: 5,6 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # G6: 5,6 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # D4: 5,6 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # F4: 5,6 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # B5: 5,9 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # B6: 5,9 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # G6: 5,9 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # G6: 4,6 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # B6: 1,6 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # B6: 5,9 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # H5: 5,6 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # G6: 5,6 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # D4: 5,6 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # F4: 5,6 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # H5: 4,9 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # G6: 4,9 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # I1: 4,9 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 # I2: 4,9 => UNS
* INC # I6: 2 + G4: 8 + B4: 1,2,7 => UNS
* INC # H4: 2 # H5: 4,9 => UNS
* INC # H4: 2 # I5: 4,9 => UNS
* INC # H4: 2 # G6: 4,9 => UNS
* INC # H4: 2 # I1: 4,9 => UNS
* INC # H4: 2 # I2: 4,9 => UNS
* INC # H4: 2 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for E2,D3: 8..:

* INC # E2: 8 # A3: 4,5 => UNS
* INC # E2: 8 # A3: 2,7,8 => UNS
* INC # E2: 8 # F2: 4,5 => UNS
* INC # E2: 8 # H2: 4,5 => UNS
* INC # E2: 8 # B1: 3,6 => UNS
* INC # E2: 8 # C1: 3,6 => UNS
* INC # E2: 8 # B2: 3,6 => UNS
* INC # E2: 8 => UNS
* INC # D3: 8 # E7: 1,4 => UNS
* INC # D3: 8 # F7: 1,4 => UNS
* INC # D3: 8 # E8: 1,4 => UNS
* INC # D3: 8 # H7: 1,4 => UNS
* INC # D3: 8 # H7: 2,3,9 => UNS
* INC # D3: 8 # F9: 1,5 => UNS
* INC # D3: 8 # F9: 2,7 => UNS
* INC # D3: 8 # D4: 1,5 => UNS
* INC # D3: 8 # D4: 6 => UNS
* INC # D3: 8 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for A6,A9: 9..:

* INC # A6: 9 # B2: 6,8 => UNS
* INC # A6: 9 # B2: 3,5 => UNS
* INC # A6: 9 # C5: 6,8 => UNS
* INC # A6: 9 # C5: 7 => UNS
* INC # A6: 9 # I8: 2,4 => UNS
* INC # A6: 9 # I8: 1,7,8 => UNS
* INC # A6: 9 => UNS
* INC # A9: 9 # A4: 2,5 => UNS
* INC # A9: 9 # B4: 2,5 => UNS
* INC # A9: 9 # B6: 2,5 => UNS
* INC # A9: 9 # A3: 2,5 => UNS
* INC # A9: 9 # A3: 4,7,8 => UNS
* INC # A9: 9 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for B7,A9: 9..:

* INC # B7: 9 # B2: 6,8 => UNS
* INC # B7: 9 # B2: 3,5 => UNS
* INC # B7: 9 # C5: 6,8 => UNS
* INC # B7: 9 # C5: 7 => UNS
* INC # B7: 9 # I8: 2,4 => UNS
* INC # B7: 9 # I8: 1,7,8 => UNS
* INC # B7: 9 => UNS
* INC # A9: 9 # A4: 2,5 => UNS
* INC # A9: 9 # B4: 2,5 => UNS
* INC # A9: 9 # B6: 2,5 => UNS
* INC # A9: 9 # A3: 2,5 => UNS
* INC # A9: 9 # A3: 4,7,8 => UNS
* INC # A9: 9 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for G4,I5: 8..:

* INC # I5: 8 # B4: 6,7 => UNS
* DIS # I5: 8 # B5: 6,7 => CTR => B5: 5,9
* INC # I5: 8 + B5: 5,9 # B4: 6,7 => UNS
* INC # I5: 8 + B5: 5,9 # B4: 1,2,5,8 => UNS
* INC # I5: 8 + B5: 5,9 # F5: 6,7 => UNS
* INC # I5: 8 + B5: 5,9 # F5: 4,5 => UNS
* INC # I5: 8 + B5: 5,9 # C1: 6,7 => UNS
* INC # I5: 8 + B5: 5,9 # C1: 2,3 => UNS
* DIS # I5: 8 + B5: 5,9 # H4: 5,6 => CTR => H4: 2
* INC # I5: 8 + B5: 5,9 + H4: 2 # H5: 5,6 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 # G6: 5,6 => UNS
* DIS # I5: 8 + B5: 5,9 + H4: 2 # B4: 5,6 => CTR => B4: 1,7,8
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # D4: 5,6 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # F4: 5,6 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # H5: 5,6 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # G6: 5,6 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # D4: 5,6 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # F4: 5,6 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # A6: 5,9 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # B6: 5,9 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # H5: 5,9 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # H5: 4,6 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # F5: 6,7 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # F5: 4,5 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # C1: 6,7 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # C1: 2,3 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # H5: 5,6 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # G6: 5,6 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # D4: 5,6 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # F4: 5,6 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # H5: 4,9 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # G6: 4,9 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # I1: 4,9 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 # I2: 4,9 => UNS
* INC # I5: 8 + B5: 5,9 + H4: 2 + B4: 1,7,8 => UNS
* INC # G4: 8 # H5: 4,9 => UNS
* INC # G4: 8 # G6: 4,9 => UNS
* INC # G4: 8 # I6: 4,9 => UNS
* INC # G4: 8 # I1: 4,9 => UNS
* INC # G4: 8 # I2: 4,9 => UNS
* INC # G4: 8 => UNS
* CNT  41 HDP CHAINS /  41 HYP OPENED

Full list of HDP chains traversed for G8,H8: 6..:

* INC # G8: 6 # A4: 7,8 => UNS
* INC # G8: 6 # B4: 7,8 => UNS
* INC # G8: 6 # B5: 7,8 => UNS
* INC # G8: 6 # C7: 7,8 => UNS
* INC # G8: 6 # C9: 7,8 => UNS
* INC # G8: 6 # A4: 5,8 => UNS
* INC # G8: 6 # B4: 5,8 => UNS
* INC # G8: 6 => UNS
* INC # H8: 6 # A4: 2,5 => UNS
* INC # H8: 6 # B4: 2,5 => UNS
* INC # H8: 6 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for D9,F9: 5..:

* INC # D9: 5 # F1: 4,6 => UNS
* INC # D9: 5 # F2: 4,6 => UNS
* INC # D9: 5 # F4: 1,6 => UNS
* INC # D9: 5 # F4: 5,7 => UNS
* INC # D9: 5 # B4: 1,6 => UNS
* INC # D9: 5 # B4: 2,5,7,8 => UNS
* INC # D9: 5 => UNS
* INC # F9: 5 # D7: 1,8 => UNS
* INC # F9: 5 # E7: 1,8 => UNS
* INC # F9: 5 # E8: 1,8 => UNS
* INC # F9: 5 # C9: 1,8 => UNS
* INC # F9: 5 # I9: 1,8 => UNS
* INC # F9: 5 # D3: 1,8 => UNS
* INC # F9: 5 # D3: 4,5 => UNS
* INC # F9: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for F1,F2: 9..:

* INC # F1: 9 # G1: 4,7 => UNS
* INC # F1: 9 # G3: 4,7 => UNS
* INC # F1: 9 # I8: 4,7 => UNS
* INC # F1: 9 # I8: 1,2,8 => UNS
* INC # F1: 9 => UNS
* INC # F2: 9 # H2: 1,4 => UNS
* INC # F2: 9 # H3: 1,4 => UNS
* INC # F2: 9 # E2: 1,4 => UNS
* INC # F2: 9 # E2: 5,8 => UNS
* INC # F2: 9 # I8: 1,4 => UNS
* INC # F2: 9 # I8: 2,7,8 => UNS
* INC # F2: 9 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for G1,H2: 3..:

* INC # H2: 3 # B2: 6,8 => UNS
* INC # H2: 3 # B2: 5 => UNS
* INC # H2: 3 # C5: 6,8 => UNS
* INC # H2: 3 # C5: 7 => UNS
* INC # H2: 3 => UNS
* INC # G1: 3 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for D1,D4: 6..:

* INC # D4: 6 # E1: 4,5 => UNS
* INC # D4: 6 # E2: 4,5 => UNS
* INC # D4: 6 # D3: 4,5 => UNS
* INC # D4: 6 # F3: 4,5 => UNS
* INC # D4: 6 # G1: 4,5 => UNS
* INC # D4: 6 # G1: 3,7,9 => UNS
* INC # D4: 6 # A4: 5,8 => UNS
* INC # D4: 6 # B4: 5,8 => UNS
* INC # D4: 6 # A4: 2,5 => UNS
* INC # D4: 6 # B4: 2,5 => UNS
* DIS # D4: 6 # E1: 4,5 # E5: 4,5 => CTR => E5: 7
* INC # D4: 6 # E1: 4,5 + E5: 7 # E6: 4,5 => UNS
* INC # D4: 6 # E1: 4,5 + E5: 7 # E6: 4,5 => UNS
* DIS # D4: 6 # E1: 4,5 + E5: 7 # E6: 1 => CTR => E6: 4,5
* INC # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 # E7: 1,8 => UNS
* INC # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 # E8: 1,8 => UNS
* INC # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 # D7: 1,8 => UNS
* INC # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 # D9: 1,8 => UNS
* INC # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 # G1: 7,9 => UNS
* INC # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 # G1: 3 => UNS
* DIS # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 # I9: 7,9 => CTR => I9: 1,2,8
* INC # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 + I9: 1,2,8 # G1: 7,9 => UNS
* INC # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 + I9: 1,2,8 # G1: 3 => UNS
* INC # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 + I9: 1,2,8 # A4: 5,8 => UNS
* INC # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 + I9: 1,2,8 # B4: 5,8 => UNS
* PRF # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 + I9: 1,2,8 # A4: 2,5 => SOL
* STA # D4: 6 # E1: 4,5 + E5: 7 + E6: 4,5 + I9: 1,2,8 + A4: 2,5
* CNT  26 HDP CHAINS /  28 HYP OPENED