Analysis of xx-ph-00019177-KZ1C-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7.....6...9.7....7..5...4......5...85..9.......3.42.1......3..68..5.......2.1. initial

Autosolve

position: 98.7.....6...9.7....7..5...4......5...85..9.......3.42.1......3..68..5.......2.1. 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: 0:00:00.000008

List of important HDP chains detected for F2,F4: 8..:

* DIS # F4: 8 # I9: 4,6 => CTR => I9: 7,8,9
* CNT   1 HDP CHAINS /  55 HYP OPENED

List of important HDP chains detected for F2,E3: 8..:

* DIS # E3: 8 # I9: 4,6 => CTR => I9: 7,8,9
* CNT   1 HDP CHAINS /  55 HYP OPENED

List of important HDP chains detected for G4,H5: 3..:

* DIS # H5: 3 # G1: 2,6 => CTR => G1: 1,3,4
* DIS # H5: 3 + G1: 1,3,4 # G3: 2,6 => CTR => G3: 1,3,4,8
* CNT   2 HDP CHAINS /  40 HYP OPENED

List of important HDP chains detected for E5,F5: 4..:

* DIS # F5: 4 # E1: 1,6 => CTR => E1: 2,3,4
* CNT   1 HDP CHAINS /  27 HYP OPENED

List of important HDP chains detected for E8,F8: 1..:

* DIS # F8: 1 # E1: 4,6 => CTR => E1: 1,2,3
* CNT   1 HDP CHAINS /  23 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: 0:00:46.237825

List of important HDP chains detected for F2,F4: 8..:

* DIS # F4: 8 # I9: 4,6 => CTR => I9: 7,8,9
* DIS # F4: 8 + I9: 7,8,9 # E1: 1,4 # A3: 2,3 => CTR => A3: 1
* PRF # F4: 8 + I9: 7,8,9 # E1: 1,4 + A3: 1 # B3: 2,3 => SOL
* STA # F4: 8 + I9: 7,8,9 # E1: 1,4 + A3: 1 + B3: 2,3
* CNT   3 HDP CHAINS /  58 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...9.7....7..5...4......5...85..9.......3.42.1......3..68..5.......2.1. initial
98.7.....6...9.7....7..5...4......5...85..9.......3.42.1......3..68..5.......2.1. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E8,F8: 1.. / E8 = 1  =>  0 pairs (_) / F8 = 1  =>  2 pairs (_)
G4,H5: 3.. / G4 = 3  =>  1 pairs (_) / H5 = 3  =>  3 pairs (_)
E5,F5: 4.. / E5 = 4  =>  0 pairs (_) / F5 = 4  =>  2 pairs (_)
I1,I2: 5.. / I1 = 5  =>  0 pairs (_) / I2 = 5  =>  1 pairs (_)
E7,E9: 5.. / E7 = 5  =>  0 pairs (_) / E9 = 5  =>  0 pairs (_)
C1,I1: 5.. / C1 = 5  =>  1 pairs (_) / I1 = 5  =>  0 pairs (_)
F2,E3: 8.. / F2 = 8  =>  1 pairs (_) / E3 = 8  =>  3 pairs (_)
A7,A9: 8.. / A7 = 8  =>  0 pairs (_) / A9 = 8  =>  1 pairs (_)
E6,G6: 8.. / E6 = 8  =>  2 pairs (_) / G6 = 8  =>  1 pairs (_)
F2,F4: 8.. / F2 = 8  =>  1 pairs (_) / F4 = 8  =>  3 pairs (_)
H3,I3: 9.. / H3 = 9  =>  1 pairs (_) / I3 = 9  =>  1 pairs (_)
* DURATION: 0:00:07.289165  START: 13:21:31.379818  END: 13:21:38.668983 2020-12-06
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F2,F4: 8.. / F2 = 8 ==>  1 pairs (_) / F4 = 8 ==>  3 pairs (_)
F2,E3: 8.. / F2 = 8 ==>  1 pairs (_) / E3 = 8 ==>  3 pairs (_)
G4,H5: 3.. / G4 = 3 ==>  1 pairs (_) / H5 = 3 ==>  4 pairs (_)
E6,G6: 8.. / E6 = 8 ==>  2 pairs (_) / G6 = 8 ==>  1 pairs (_)
E5,F5: 4.. / E5 = 4 ==>  0 pairs (_) / F5 = 4 ==>  2 pairs (_)
E8,F8: 1.. / E8 = 1 ==>  0 pairs (_) / F8 = 1 ==>  2 pairs (_)
H3,I3: 9.. / H3 = 9 ==>  1 pairs (_) / I3 = 9 ==>  1 pairs (_)
A7,A9: 8.. / A7 = 8 ==>  0 pairs (_) / A9 = 8 ==>  1 pairs (_)
C1,I1: 5.. / C1 = 5 ==>  1 pairs (_) / I1 = 5 ==>  0 pairs (_)
I1,I2: 5.. / I1 = 5 ==>  0 pairs (_) / I2 = 5 ==>  1 pairs (_)
E7,E9: 5.. / E7 = 5 ==>  0 pairs (_) / E9 = 5 ==>  0 pairs (_)
* DURATION: 0:01:57.686881  START: 13:21:38.669630  END: 13:23:36.356511 2020-12-06
* REASONING F2,F4: 8..
* DIS # F4: 8 # I9: 4,6 => CTR => I9: 7,8,9
* CNT   1 HDP CHAINS /  55 HYP OPENED
* REASONING F2,E3: 8..
* DIS # E3: 8 # I9: 4,6 => CTR => I9: 7,8,9
* CNT   1 HDP CHAINS /  55 HYP OPENED
* REASONING G4,H5: 3..
* DIS # H5: 3 # G1: 2,6 => CTR => G1: 1,3,4
* DIS # H5: 3 + G1: 1,3,4 # G3: 2,6 => CTR => G3: 1,3,4,8
* CNT   2 HDP CHAINS /  40 HYP OPENED
* REASONING E5,F5: 4..
* DIS # F5: 4 # E1: 1,6 => CTR => E1: 2,3,4
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING E8,F8: 1..
* DIS # F8: 1 # E1: 4,6 => CTR => E1: 1,2,3
* CNT   1 HDP CHAINS /  23 HYP OPENED
* DCP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
F2,F4: 8.. / F2 = 8  =>  0 pairs (X) / F4 = 8 ==>  0 pairs (*)
* DURATION: 0:00:46.235100  START: 13:23:36.488631  END: 13:24:22.723731 2020-12-06
* REASONING F2,F4: 8..
* DIS # F4: 8 # I9: 4,6 => CTR => I9: 7,8,9
* DIS # F4: 8 + I9: 7,8,9 # E1: 1,4 # A3: 2,3 => CTR => A3: 1
* PRF # F4: 8 + I9: 7,8,9 # E1: 1,4 + A3: 1 # B3: 2,3 => SOL
* STA # F4: 8 + I9: 7,8,9 # E1: 1,4 + A3: 1 + B3: 2,3
* CNT   3 HDP CHAINS /  58 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

19177;KZ1C;GP;23;11.30;11.30;10.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F2,F4: 8..:

* INC # F4: 8 # E1: 1,4 => UNS
* INC # F4: 8 # F1: 1,4 => UNS
* INC # F4: 8 # D2: 1,4 => UNS
* INC # F4: 8 # D3: 1,4 => UNS
* INC # F4: 8 # C2: 1,4 => UNS
* INC # F4: 8 # I2: 1,4 => UNS
* INC # F4: 8 # F5: 1,4 => UNS
* INC # F4: 8 # F8: 1,4 => UNS
* INC # F4: 8 # E7: 4,6 => UNS
* INC # F4: 8 # F7: 4,6 => UNS
* INC # F4: 8 # D9: 4,6 => UNS
* INC # F4: 8 # E9: 4,6 => UNS
* INC # F4: 8 # G7: 4,6 => UNS
* INC # F4: 8 # G7: 2 => UNS
* INC # F4: 8 # D3: 4,6 => UNS
* INC # F4: 8 # D3: 1,2,3 => UNS
* INC # F4: 8 # G7: 4,6 => UNS
* DIS # F4: 8 # I9: 4,6 => CTR => I9: 7,8,9
* INC # F4: 8 + I9: 7,8,9 # G7: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # G7: 2 => UNS
* INC # F4: 8 + I9: 7,8,9 # D9: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # E9: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # G1: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # G3: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # E1: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # F1: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # D2: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # D3: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # C2: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # I2: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # F5: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # F8: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # E7: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # F7: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # D9: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # E9: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # G7: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # G7: 2 => UNS
* INC # F4: 8 + I9: 7,8,9 # D3: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # D3: 1,2,3 => UNS
* INC # F4: 8 + I9: 7,8,9 # G7: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # G7: 2 => UNS
* INC # F4: 8 + I9: 7,8,9 # D9: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # E9: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # G1: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # G3: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 => UNS
* INC # F2: 8 # G1: 2,3 => UNS
* INC # F2: 8 # H1: 2,3 => UNS
* INC # F2: 8 # G3: 2,3 => UNS
* INC # F2: 8 # H3: 2,3 => UNS
* INC # F2: 8 # B2: 2,3 => UNS
* INC # F2: 8 # C2: 2,3 => UNS
* INC # F2: 8 # D2: 2,3 => UNS
* INC # F2: 8 => UNS
* CNT  55 HDP CHAINS /  55 HYP OPENED

Full list of HDP chains traversed for F2,E3: 8..:

* INC # E3: 8 # E1: 1,4 => UNS
* INC # E3: 8 # F1: 1,4 => UNS
* INC # E3: 8 # D2: 1,4 => UNS
* INC # E3: 8 # D3: 1,4 => UNS
* INC # E3: 8 # C2: 1,4 => UNS
* INC # E3: 8 # I2: 1,4 => UNS
* INC # E3: 8 # F5: 1,4 => UNS
* INC # E3: 8 # F8: 1,4 => UNS
* INC # E3: 8 # E7: 4,6 => UNS
* INC # E3: 8 # F7: 4,6 => UNS
* INC # E3: 8 # D9: 4,6 => UNS
* INC # E3: 8 # E9: 4,6 => UNS
* INC # E3: 8 # G7: 4,6 => UNS
* INC # E3: 8 # G7: 2 => UNS
* INC # E3: 8 # D3: 4,6 => UNS
* INC # E3: 8 # D3: 1,2,3 => UNS
* INC # E3: 8 # G7: 4,6 => UNS
* DIS # E3: 8 # I9: 4,6 => CTR => I9: 7,8,9
* INC # E3: 8 + I9: 7,8,9 # G7: 4,6 => UNS
* INC # E3: 8 + I9: 7,8,9 # G7: 2 => UNS
* INC # E3: 8 + I9: 7,8,9 # D9: 4,6 => UNS
* INC # E3: 8 + I9: 7,8,9 # E9: 4,6 => UNS
* INC # E3: 8 + I9: 7,8,9 # G1: 4,6 => UNS
* INC # E3: 8 + I9: 7,8,9 # G3: 4,6 => UNS
* INC # E3: 8 + I9: 7,8,9 # E1: 1,4 => UNS
* INC # E3: 8 + I9: 7,8,9 # F1: 1,4 => UNS
* INC # E3: 8 + I9: 7,8,9 # D2: 1,4 => UNS
* INC # E3: 8 + I9: 7,8,9 # D3: 1,4 => UNS
* INC # E3: 8 + I9: 7,8,9 # C2: 1,4 => UNS
* INC # E3: 8 + I9: 7,8,9 # I2: 1,4 => UNS
* INC # E3: 8 + I9: 7,8,9 # F5: 1,4 => UNS
* INC # E3: 8 + I9: 7,8,9 # F8: 1,4 => UNS
* INC # E3: 8 + I9: 7,8,9 # E7: 4,6 => UNS
* INC # E3: 8 + I9: 7,8,9 # F7: 4,6 => UNS
* INC # E3: 8 + I9: 7,8,9 # D9: 4,6 => UNS
* INC # E3: 8 + I9: 7,8,9 # E9: 4,6 => UNS
* INC # E3: 8 + I9: 7,8,9 # G7: 4,6 => UNS
* INC # E3: 8 + I9: 7,8,9 # G7: 2 => UNS
* INC # E3: 8 + I9: 7,8,9 # D3: 4,6 => UNS
* INC # E3: 8 + I9: 7,8,9 # D3: 1,2,3 => UNS
* INC # E3: 8 + I9: 7,8,9 # G7: 4,6 => UNS
* INC # E3: 8 + I9: 7,8,9 # G7: 2 => UNS
* INC # E3: 8 + I9: 7,8,9 # D9: 4,6 => UNS
* INC # E3: 8 + I9: 7,8,9 # E9: 4,6 => UNS
* INC # E3: 8 + I9: 7,8,9 # G1: 4,6 => UNS
* INC # E3: 8 + I9: 7,8,9 # G3: 4,6 => UNS
* INC # E3: 8 + I9: 7,8,9 => UNS
* INC # F2: 8 # G1: 2,3 => UNS
* INC # F2: 8 # H1: 2,3 => UNS
* INC # F2: 8 # G3: 2,3 => UNS
* INC # F2: 8 # H3: 2,3 => UNS
* INC # F2: 8 # B2: 2,3 => UNS
* INC # F2: 8 # C2: 2,3 => UNS
* INC # F2: 8 # D2: 2,3 => UNS
* INC # F2: 8 => UNS
* CNT  55 HDP CHAINS /  55 HYP OPENED

Full list of HDP chains traversed for G4,H5: 3..:

* DIS # H5: 3 # G1: 2,6 => CTR => G1: 1,3,4
* DIS # H5: 3 + G1: 1,3,4 # G3: 2,6 => CTR => G3: 1,3,4,8
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # H3: 2,6 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # H3: 2,6 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # H3: 8,9 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # E1: 2,6 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # E1: 1,3,4 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # H3: 2,8 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # H3: 6,9 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # I9: 4,9 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # I9: 6,8 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # B8: 4,9 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # F8: 4,9 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # I3: 4,9 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # I3: 1,6,8 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # H3: 2,6 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # H3: 8,9 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # E1: 2,6 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # E1: 1,3,4 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # H3: 2,8 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # H3: 6,9 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # H7: 7,9 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # H7: 6,8 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # B8: 7,9 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # F8: 7,9 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # I9: 4,9 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # I9: 6,8 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # B8: 4,9 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # F8: 4,9 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # I3: 4,9 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 # I3: 1,6,8 => UNS
* INC # H5: 3 + G1: 1,3,4 + G3: 1,3,4,8 => UNS
* INC # G4: 3 # I4: 6,7 => UNS
* INC # G4: 3 # I5: 6,7 => UNS
* INC # G4: 3 # B5: 6,7 => UNS
* INC # G4: 3 # E5: 6,7 => UNS
* INC # G4: 3 # F5: 6,7 => UNS
* INC # G4: 3 # H7: 6,7 => UNS
* INC # G4: 3 # H7: 2,8,9 => UNS
* INC # G4: 3 => UNS
* CNT  40 HDP CHAINS /  40 HYP OPENED

Full list of HDP chains traversed for E6,G6: 8..:

* INC # E6: 8 # G1: 2,3 => UNS
* INC # E6: 8 # H1: 2,3 => UNS
* INC # E6: 8 # G3: 2,3 => UNS
* INC # E6: 8 # H3: 2,3 => UNS
* INC # E6: 8 # B2: 2,3 => UNS
* INC # E6: 8 # C2: 2,3 => UNS
* INC # E6: 8 # D2: 2,3 => UNS
* INC # E6: 8 # G4: 1,6 => UNS
* INC # E6: 8 # I4: 1,6 => UNS
* INC # E6: 8 # I5: 1,6 => UNS
* INC # E6: 8 # D6: 1,6 => UNS
* INC # E6: 8 # D6: 9 => UNS
* INC # E6: 8 # G1: 1,6 => UNS
* INC # E6: 8 # G3: 1,6 => UNS
* INC # E6: 8 => UNS
* INC # G6: 8 # G7: 4,6 => UNS
* INC # G6: 8 # I9: 4,6 => UNS
* INC # G6: 8 # D9: 4,6 => UNS
* INC # G6: 8 # E9: 4,6 => UNS
* INC # G6: 8 # G1: 4,6 => UNS
* INC # G6: 8 # G3: 4,6 => UNS
* INC # G6: 8 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for E5,F5: 4..:

* DIS # F5: 4 # E1: 1,6 => CTR => E1: 2,3,4
* INC # F5: 4 + E1: 2,3,4 # D3: 1,6 => UNS
* INC # F5: 4 + E1: 2,3,4 # E3: 1,6 => UNS
* INC # F5: 4 + E1: 2,3,4 # G1: 1,6 => UNS
* INC # F5: 4 + E1: 2,3,4 # I1: 1,6 => UNS
* INC # F5: 4 + E1: 2,3,4 # F4: 1,6 => UNS
* INC # F5: 4 + E1: 2,3,4 # F4: 7,8,9 => UNS
* INC # F5: 4 + E1: 2,3,4 # E3: 1,8 => UNS
* INC # F5: 4 + E1: 2,3,4 # E3: 2,3,4,6 => UNS
* INC # F5: 4 + E1: 2,3,4 # I2: 1,8 => UNS
* INC # F5: 4 + E1: 2,3,4 # I2: 4,5 => UNS
* INC # F5: 4 + E1: 2,3,4 # F4: 1,8 => UNS
* INC # F5: 4 + E1: 2,3,4 # F4: 6,7,9 => UNS
* INC # F5: 4 + E1: 2,3,4 # D3: 1,6 => UNS
* INC # F5: 4 + E1: 2,3,4 # E3: 1,6 => UNS
* INC # F5: 4 + E1: 2,3,4 # G1: 1,6 => UNS
* INC # F5: 4 + E1: 2,3,4 # I1: 1,6 => UNS
* INC # F5: 4 + E1: 2,3,4 # F4: 1,6 => UNS
* INC # F5: 4 + E1: 2,3,4 # F4: 7,8,9 => UNS
* INC # F5: 4 + E1: 2,3,4 # E3: 1,8 => UNS
* INC # F5: 4 + E1: 2,3,4 # E3: 2,3,4,6 => UNS
* INC # F5: 4 + E1: 2,3,4 # I2: 1,8 => UNS
* INC # F5: 4 + E1: 2,3,4 # I2: 4,5 => UNS
* INC # F5: 4 + E1: 2,3,4 # F4: 1,8 => UNS
* INC # F5: 4 + E1: 2,3,4 # F4: 6,7,9 => UNS
* INC # F5: 4 + E1: 2,3,4 => UNS
* INC # E5: 4 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for E8,F8: 1..:

* DIS # F8: 1 # E1: 4,6 => CTR => E1: 1,2,3
* INC # F8: 1 + E1: 1,2,3 # D3: 4,6 => UNS
* INC # F8: 1 + E1: 1,2,3 # E3: 4,6 => UNS
* INC # F8: 1 + E1: 1,2,3 # G1: 4,6 => UNS
* INC # F8: 1 + E1: 1,2,3 # I1: 4,6 => UNS
* INC # F8: 1 + E1: 1,2,3 # F5: 4,6 => UNS
* INC # F8: 1 + E1: 1,2,3 # F7: 4,6 => UNS
* INC # F8: 1 + E1: 1,2,3 # E3: 4,8 => UNS
* INC # F8: 1 + E1: 1,2,3 # E3: 1,2,3,6 => UNS
* INC # F8: 1 + E1: 1,2,3 # I2: 4,8 => UNS
* INC # F8: 1 + E1: 1,2,3 # I2: 1,5 => UNS
* INC # F8: 1 + E1: 1,2,3 # D3: 4,6 => UNS
* INC # F8: 1 + E1: 1,2,3 # E3: 4,6 => UNS
* INC # F8: 1 + E1: 1,2,3 # G1: 4,6 => UNS
* INC # F8: 1 + E1: 1,2,3 # I1: 4,6 => UNS
* INC # F8: 1 + E1: 1,2,3 # F5: 4,6 => UNS
* INC # F8: 1 + E1: 1,2,3 # F7: 4,6 => UNS
* INC # F8: 1 + E1: 1,2,3 # E3: 4,8 => UNS
* INC # F8: 1 + E1: 1,2,3 # E3: 1,2,3,6 => UNS
* INC # F8: 1 + E1: 1,2,3 # I2: 4,8 => UNS
* INC # F8: 1 + E1: 1,2,3 # I2: 1,5 => UNS
* INC # F8: 1 + E1: 1,2,3 => UNS
* INC # E8: 1 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for H3,I3: 9..:

* INC # H3: 9 # H7: 2,7 => UNS
* INC # H3: 9 # H7: 6,8 => UNS
* INC # H3: 9 # A8: 2,7 => UNS
* INC # H3: 9 # B8: 2,7 => UNS
* INC # H3: 9 => UNS
* INC # I3: 9 # I9: 4,7 => UNS
* INC # I3: 9 # I9: 6,8 => UNS
* INC # I3: 9 # B8: 4,7 => UNS
* INC # I3: 9 # E8: 4,7 => UNS
* INC # I3: 9 # F8: 4,7 => UNS
* INC # I3: 9 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for A7,A9: 8..:

* INC # A9: 8 # G7: 4,6 => UNS
* INC # A9: 8 # I9: 4,6 => UNS
* INC # A9: 8 # D9: 4,6 => UNS
* INC # A9: 8 # E9: 4,6 => UNS
* INC # A9: 8 # G1: 4,6 => UNS
* INC # A9: 8 # G3: 4,6 => UNS
* INC # A9: 8 => UNS
* INC # A7: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for C1,I1: 5..:

* INC # C1: 5 # C4: 1,9 => UNS
* INC # C1: 5 # C4: 2,3 => UNS
* INC # C1: 5 # D6: 1,9 => UNS
* INC # C1: 5 # D6: 6 => UNS
* INC # C1: 5 => UNS
* INC # I1: 5 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for I1,I2: 5..:

* INC # I2: 5 # C4: 1,9 => UNS
* INC # I2: 5 # C4: 2,3 => UNS
* INC # I2: 5 # D6: 1,9 => UNS
* INC # I2: 5 # D6: 6 => UNS
* INC # I2: 5 => UNS
* INC # I1: 5 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for E7,E9: 5..:

* INC # E7: 5 => UNS
* INC # E9: 5 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for F2,F4: 8..:

* INC # F4: 8 # E1: 1,4 => UNS
* INC # F4: 8 # F1: 1,4 => UNS
* INC # F4: 8 # D2: 1,4 => UNS
* INC # F4: 8 # D3: 1,4 => UNS
* INC # F4: 8 # C2: 1,4 => UNS
* INC # F4: 8 # I2: 1,4 => UNS
* INC # F4: 8 # F5: 1,4 => UNS
* INC # F4: 8 # F8: 1,4 => UNS
* INC # F4: 8 # E7: 4,6 => UNS
* INC # F4: 8 # F7: 4,6 => UNS
* INC # F4: 8 # D9: 4,6 => UNS
* INC # F4: 8 # E9: 4,6 => UNS
* INC # F4: 8 # G7: 4,6 => UNS
* INC # F4: 8 # G7: 2 => UNS
* INC # F4: 8 # D3: 4,6 => UNS
* INC # F4: 8 # D3: 1,2,3 => UNS
* INC # F4: 8 # G7: 4,6 => UNS
* DIS # F4: 8 # I9: 4,6 => CTR => I9: 7,8,9
* INC # F4: 8 + I9: 7,8,9 # G7: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # G7: 2 => UNS
* INC # F4: 8 + I9: 7,8,9 # D9: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # E9: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # G1: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # G3: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # E1: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # F1: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # D2: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # D3: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # C2: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # I2: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # F5: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # F8: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # E7: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # F7: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # D9: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # E9: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # G7: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # G7: 2 => UNS
* INC # F4: 8 + I9: 7,8,9 # D3: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # D3: 1,2,3 => UNS
* INC # F4: 8 + I9: 7,8,9 # G7: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # G7: 2 => UNS
* INC # F4: 8 + I9: 7,8,9 # D9: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # E9: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # G1: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # G3: 4,6 => UNS
* INC # F4: 8 + I9: 7,8,9 # E1: 1,4 # C1: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # E1: 1,4 # G1: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # E1: 1,4 # I1: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # E1: 1,4 # B2: 2,3 => UNS
* INC # F4: 8 + I9: 7,8,9 # E1: 1,4 # C2: 2,3 => UNS
* INC # F4: 8 + I9: 7,8,9 # E1: 1,4 # H2: 2,3 => UNS
* INC # F4: 8 + I9: 7,8,9 # E1: 1,4 # C2: 1,4 => UNS
* INC # F4: 8 + I9: 7,8,9 # E1: 1,4 # I2: 1,4 => UNS
* DIS # F4: 8 + I9: 7,8,9 # E1: 1,4 # A3: 2,3 => CTR => A3: 1
* PRF # F4: 8 + I9: 7,8,9 # E1: 1,4 + A3: 1 # B3: 2,3 => SOL
* STA # F4: 8 + I9: 7,8,9 # E1: 1,4 + A3: 1 + B3: 2,3
* CNT  56 HDP CHAINS /  58 HYP OPENED