Analysis of xx-ph-02124003-2018_12_01-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.76.5..7..4..6....3..8...6...7..95...5...4......67..5..6..4....7.....2....1.... initial

Autosolve

position: 98.76.5..7..4..6...63.58...6...7..95.7.5...46.....67..5..6..4....7..5.62..6.1..5. 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: 0:00:00.000007

List of important HDP chains detected for A3,I3: 4..:

* DIS # A3: 4 # C6: 1,2 => CTR => C6: 4,5,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for C1,I1: 4..:

* DIS # I1: 4 # C6: 1,2 => CTR => C6: 4,5,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for I1,I3: 4..:

* DIS # I1: 4 # C6: 1,2 => CTR => C6: 4,5,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for C1,A3: 4..:

* DIS # A3: 4 # C6: 1,2 => CTR => C6: 4,5,8,9
* CNT   1 HDP CHAINS /  37 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: 0:01:02.903681

List of important HDP chains detected for H3,H7: 7..:

* DIS # H7: 7 # H1: 1,2 # C4: 1,2 => CTR => C4: 8
* DIS # H7: 7 # H1: 1,2 + C4: 8 # F2: 1,2 => CTR => F2: 9
* DIS # H7: 7 # H1: 1,2 + C4: 8 + F2: 9 => CTR => H1: 3
* DIS # H7: 7 + H1: 3 # C4: 1,2 # F2: 1,2 => CTR => F2: 3,9
* DIS # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 # B4: 1,2 => CTR => B4: 3
* DIS # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 + B4: 3 # B7: 9 => CTR => B7: 1,2
* DIS # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 + B4: 3 + B7: 1,2 # F5: 3 => CTR => F5: 1,2
* DIS # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 + B4: 3 + B7: 1,2 + F5: 1,2 # G3: 1,9 => CTR => G3: 2
* DIS # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 + B4: 3 + B7: 1,2 + F5: 1,2 + G3: 2 => CTR => C4: 8
* DIS # H7: 7 + H1: 3 + C4: 8 # H2: 1,2 => CTR => H2: 8
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 # B7: 1,2 => CTR => B7: 3,9
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 # B4: 3 => CTR => B4: 1,2
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 # G3: 9 => CTR => G3: 1,2
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 + G3: 1,2 # F2: 3 => CTR => F2: 1,2
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 + G3: 1,2 + F2: 1,2 # G5: 1,2 => CTR => G5: 8
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 + G3: 1,2 + F2: 1,2 + G5: 8 => CTR => H7: 1,3,8
* STA H7: 1,3,8
* CNT  16 HDP CHAINS /  81 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

98.76.5..7..4..6....3..8...6...7..95...5...4......67..5..6..4....7.....2....1.... initial
98.76.5..7..4..6...63.58...6...7..95.7.5...46.....67..5..6..4....7..5.62..6.1..5. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C1,A3: 4.. / C1 = 4  =>  2 pairs (_) / A3 = 4  =>  1 pairs (_)
I1,I3: 4.. / I1 = 4  =>  1 pairs (_) / I3 = 4  =>  2 pairs (_)
F4,E6: 4.. / F4 = 4  =>  0 pairs (_) / E6 = 4  =>  0 pairs (_)
E8,F9: 4.. / E8 = 4  =>  0 pairs (_) / F9 = 4  =>  0 pairs (_)
C1,I1: 4.. / C1 = 4  =>  2 pairs (_) / I1 = 4  =>  1 pairs (_)
A3,I3: 4.. / A3 = 4  =>  1 pairs (_) / I3 = 4  =>  2 pairs (_)
E6,E8: 4.. / E6 = 4  =>  0 pairs (_) / E8 = 4  =>  0 pairs (_)
F4,F9: 4.. / F4 = 4  =>  0 pairs (_) / F9 = 4  =>  0 pairs (_)
B2,C2: 5.. / B2 = 5  =>  1 pairs (_) / C2 = 5  =>  1 pairs (_)
B6,C6: 5.. / B6 = 5  =>  1 pairs (_) / C6 = 5  =>  1 pairs (_)
B2,B6: 5.. / B2 = 5  =>  1 pairs (_) / B6 = 5  =>  1 pairs (_)
C2,C6: 5.. / C2 = 5  =>  1 pairs (_) / C6 = 5  =>  1 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  3 pairs (_)
F7,F9: 7.. / F7 = 7  =>  0 pairs (_) / F9 = 7  =>  0 pairs (_)
F9,I9: 7.. / F9 = 7  =>  0 pairs (_) / I9 = 7  =>  0 pairs (_)
H3,H7: 7.. / H3 = 7  =>  0 pairs (_) / H7 = 7  =>  3 pairs (_)
H2,I2: 8.. / H2 = 8  =>  0 pairs (_) / I2 = 8  =>  2 pairs (_)
* DURATION: 0:00:12.469798  START: 04:39:12.708542  END: 04:39:25.178340 2020-11-04
* CP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H3,H7: 7.. / H3 = 7 ==>  0 pairs (_) / H7 = 7 ==>  3 pairs (_)
H3,I3: 7.. / H3 = 7 ==>  0 pairs (_) / I3 = 7 ==>  3 pairs (_)
A3,I3: 4.. / A3 = 4 ==>  1 pairs (_) / I3 = 4 ==>  2 pairs (_)
C1,I1: 4.. / C1 = 4 ==>  2 pairs (_) / I1 = 4 ==>  1 pairs (_)
I1,I3: 4.. / I1 = 4 ==>  1 pairs (_) / I3 = 4 ==>  2 pairs (_)
C1,A3: 4.. / C1 = 4 ==>  2 pairs (_) / A3 = 4 ==>  1 pairs (_)
H2,I2: 8.. / H2 = 8 ==>  0 pairs (_) / I2 = 8 ==>  2 pairs (_)
C2,C6: 5.. / C2 = 5 ==>  1 pairs (_) / C6 = 5 ==>  1 pairs (_)
B2,B6: 5.. / B2 = 5 ==>  1 pairs (_) / B6 = 5 ==>  1 pairs (_)
B6,C6: 5.. / B6 = 5 ==>  1 pairs (_) / C6 = 5 ==>  1 pairs (_)
B2,C2: 5.. / B2 = 5 ==>  1 pairs (_) / C2 = 5 ==>  1 pairs (_)
F9,I9: 7.. / F9 = 7 ==>  0 pairs (_) / I9 = 7 ==>  0 pairs (_)
F7,F9: 7.. / F7 = 7 ==>  0 pairs (_) / F9 = 7 ==>  0 pairs (_)
F4,F9: 4.. / F4 = 4 ==>  0 pairs (_) / F9 = 4 ==>  0 pairs (_)
E6,E8: 4.. / E6 = 4 ==>  0 pairs (_) / E8 = 4 ==>  0 pairs (_)
E8,F9: 4.. / E8 = 4 ==>  0 pairs (_) / F9 = 4 ==>  0 pairs (_)
F4,E6: 4.. / F4 = 4 ==>  0 pairs (_) / E6 = 4 ==>  0 pairs (_)
* DURATION: 0:02:22.174976  START: 04:39:25.178825  END: 04:41:47.353801 2020-11-04
* REASONING A3,I3: 4..
* DIS # A3: 4 # C6: 1,2 => CTR => C6: 4,5,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING C1,I1: 4..
* DIS # I1: 4 # C6: 1,2 => CTR => C6: 4,5,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING I1,I3: 4..
* DIS # I1: 4 # C6: 1,2 => CTR => C6: 4,5,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING C1,A3: 4..
* DIS # A3: 4 # C6: 1,2 => CTR => C6: 4,5,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* DCP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
H3,H7: 7.. / H3 = 7  =>  0 pairs (_) / H7 = 7 ==>  0 pairs (X)
* DURATION: 0:01:02.898089  START: 04:41:47.551761  END: 04:42:50.449850 2020-11-04
* REASONING H3,H7: 7..
* DIS # H7: 7 # H1: 1,2 # C4: 1,2 => CTR => C4: 8
* DIS # H7: 7 # H1: 1,2 + C4: 8 # F2: 1,2 => CTR => F2: 9
* DIS # H7: 7 # H1: 1,2 + C4: 8 + F2: 9 => CTR => H1: 3
* DIS # H7: 7 + H1: 3 # C4: 1,2 # F2: 1,2 => CTR => F2: 3,9
* DIS # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 # B4: 1,2 => CTR => B4: 3
* DIS # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 + B4: 3 # B7: 9 => CTR => B7: 1,2
* DIS # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 + B4: 3 + B7: 1,2 # F5: 3 => CTR => F5: 1,2
* DIS # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 + B4: 3 + B7: 1,2 + F5: 1,2 # G3: 1,9 => CTR => G3: 2
* DIS # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 + B4: 3 + B7: 1,2 + F5: 1,2 + G3: 2 => CTR => C4: 8
* DIS # H7: 7 + H1: 3 + C4: 8 # H2: 1,2 => CTR => H2: 8
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 # B7: 1,2 => CTR => B7: 3,9
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 # B4: 3 => CTR => B4: 1,2
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 # G3: 9 => CTR => G3: 1,2
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 + G3: 1,2 # F2: 3 => CTR => F2: 1,2
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 + G3: 1,2 + F2: 1,2 # G5: 1,2 => CTR => G5: 8
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 + G3: 1,2 + F2: 1,2 + G5: 8 => CTR => H7: 1,3,8
* STA H7: 1,3,8
* CNT  16 HDP CHAINS /  81 HYP OPENED
* VDCP COUNT: (1)
* CLUE FOUND

Header Info

2124003;2018_12_01;PAQ;24;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H3,H7: 7..:

* INC # H7: 7 # F1: 1,2 => UNS
* INC # H7: 7 # H1: 1,2 => UNS
* INC # H7: 7 # C4: 1,2 => UNS
* INC # H7: 7 # C7: 1,2 => UNS
* INC # H7: 7 # F2: 1,2 => UNS
* INC # H7: 7 # H2: 1,2 => UNS
* INC # H7: 7 # B4: 1,2 => UNS
* INC # H7: 7 # B7: 1,2 => UNS
* INC # H7: 7 # H1: 1,2 => UNS
* INC # H7: 7 # H2: 1,2 => UNS
* INC # H7: 7 # G3: 1,2 => UNS
* INC # H7: 7 # D3: 1,2 => UNS
* INC # H7: 7 # D3: 9 => UNS
* INC # H7: 7 # H6: 1,2 => UNS
* INC # H7: 7 # H6: 3,8 => UNS
* INC # H7: 7 => UNS
* INC # H3: 7 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for H3,I3: 7..:

* INC # I3: 7 # F1: 1,2 => UNS
* INC # I3: 7 # H1: 1,2 => UNS
* INC # I3: 7 # C4: 1,2 => UNS
* INC # I3: 7 # C7: 1,2 => UNS
* INC # I3: 7 # F2: 1,2 => UNS
* INC # I3: 7 # H2: 1,2 => UNS
* INC # I3: 7 # B4: 1,2 => UNS
* INC # I3: 7 # B7: 1,2 => UNS
* INC # I3: 7 # H1: 1,2 => UNS
* INC # I3: 7 # H2: 1,2 => UNS
* INC # I3: 7 # G3: 1,2 => UNS
* INC # I3: 7 # D3: 1,2 => UNS
* INC # I3: 7 # D3: 9 => UNS
* INC # I3: 7 # H6: 1,2 => UNS
* INC # I3: 7 # H6: 3,8 => UNS
* INC # I3: 7 => UNS
* INC # H3: 7 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for A3,I3: 4..:

* INC # I3: 4 # B2: 1,2 => UNS
* INC # I3: 4 # C2: 1,2 => UNS
* INC # I3: 4 # D3: 1,2 => UNS
* INC # I3: 4 # G3: 1,2 => UNS
* INC # I3: 4 # A5: 1,2 => UNS
* INC # I3: 4 # A6: 1,2 => UNS
* INC # I3: 4 # H1: 1,3 => UNS
* INC # I3: 4 # H2: 1,3 => UNS
* INC # I3: 4 # I2: 1,3 => UNS
* INC # I3: 4 # F1: 1,3 => UNS
* INC # I3: 4 # F1: 2 => UNS
* INC # I3: 4 # I6: 1,3 => UNS
* INC # I3: 4 # I7: 1,3 => UNS
* INC # I3: 4 => UNS
* INC # A3: 4 # B2: 1,2 => UNS
* INC # A3: 4 # C2: 1,2 => UNS
* INC # A3: 4 # F1: 1,2 => UNS
* INC # A3: 4 # H1: 1,2 => UNS
* INC # A3: 4 # C4: 1,2 => UNS
* INC # A3: 4 # C5: 1,2 => UNS
* DIS # A3: 4 # C6: 1,2 => CTR => C6: 4,5,8,9
* INC # A3: 4 + C6: 4,5,8,9 # C7: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # B2: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # C2: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # F1: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # H1: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # C4: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # C5: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # C7: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # B2: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # C2: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # F1: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # H1: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # C4: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # C5: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # C7: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for C1,I1: 4..:

* INC # C1: 4 # B2: 1,2 => UNS
* INC # C1: 4 # C2: 1,2 => UNS
* INC # C1: 4 # D3: 1,2 => UNS
* INC # C1: 4 # G3: 1,2 => UNS
* INC # C1: 4 # A5: 1,2 => UNS
* INC # C1: 4 # A6: 1,2 => UNS
* INC # C1: 4 # H1: 1,3 => UNS
* INC # C1: 4 # H2: 1,3 => UNS
* INC # C1: 4 # I2: 1,3 => UNS
* INC # C1: 4 # F1: 1,3 => UNS
* INC # C1: 4 # F1: 2 => UNS
* INC # C1: 4 # I6: 1,3 => UNS
* INC # C1: 4 # I7: 1,3 => UNS
* INC # C1: 4 => UNS
* INC # I1: 4 # B2: 1,2 => UNS
* INC # I1: 4 # C2: 1,2 => UNS
* INC # I1: 4 # F1: 1,2 => UNS
* INC # I1: 4 # H1: 1,2 => UNS
* INC # I1: 4 # C4: 1,2 => UNS
* INC # I1: 4 # C5: 1,2 => UNS
* DIS # I1: 4 # C6: 1,2 => CTR => C6: 4,5,8,9
* INC # I1: 4 + C6: 4,5,8,9 # C7: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # B2: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # C2: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # F1: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # H1: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # C4: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # C5: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # C7: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # B2: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # C2: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # F1: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # H1: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # C4: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # C5: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # C7: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for I1,I3: 4..:

* INC # I3: 4 # B2: 1,2 => UNS
* INC # I3: 4 # C2: 1,2 => UNS
* INC # I3: 4 # D3: 1,2 => UNS
* INC # I3: 4 # G3: 1,2 => UNS
* INC # I3: 4 # A5: 1,2 => UNS
* INC # I3: 4 # A6: 1,2 => UNS
* INC # I3: 4 # H1: 1,3 => UNS
* INC # I3: 4 # H2: 1,3 => UNS
* INC # I3: 4 # I2: 1,3 => UNS
* INC # I3: 4 # F1: 1,3 => UNS
* INC # I3: 4 # F1: 2 => UNS
* INC # I3: 4 # I6: 1,3 => UNS
* INC # I3: 4 # I7: 1,3 => UNS
* INC # I3: 4 => UNS
* INC # I1: 4 # B2: 1,2 => UNS
* INC # I1: 4 # C2: 1,2 => UNS
* INC # I1: 4 # F1: 1,2 => UNS
* INC # I1: 4 # H1: 1,2 => UNS
* INC # I1: 4 # C4: 1,2 => UNS
* INC # I1: 4 # C5: 1,2 => UNS
* DIS # I1: 4 # C6: 1,2 => CTR => C6: 4,5,8,9
* INC # I1: 4 + C6: 4,5,8,9 # C7: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # B2: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # C2: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # F1: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # H1: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # C4: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # C5: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # C7: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # B2: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # C2: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # F1: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # H1: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # C4: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # C5: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 # C7: 1,2 => UNS
* INC # I1: 4 + C6: 4,5,8,9 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for C1,A3: 4..:

* INC # C1: 4 # B2: 1,2 => UNS
* INC # C1: 4 # C2: 1,2 => UNS
* INC # C1: 4 # D3: 1,2 => UNS
* INC # C1: 4 # G3: 1,2 => UNS
* INC # C1: 4 # A5: 1,2 => UNS
* INC # C1: 4 # A6: 1,2 => UNS
* INC # C1: 4 # H1: 1,3 => UNS
* INC # C1: 4 # H2: 1,3 => UNS
* INC # C1: 4 # I2: 1,3 => UNS
* INC # C1: 4 # F1: 1,3 => UNS
* INC # C1: 4 # F1: 2 => UNS
* INC # C1: 4 # I6: 1,3 => UNS
* INC # C1: 4 # I7: 1,3 => UNS
* INC # C1: 4 => UNS
* INC # A3: 4 # B2: 1,2 => UNS
* INC # A3: 4 # C2: 1,2 => UNS
* INC # A3: 4 # F1: 1,2 => UNS
* INC # A3: 4 # H1: 1,2 => UNS
* INC # A3: 4 # C4: 1,2 => UNS
* INC # A3: 4 # C5: 1,2 => UNS
* DIS # A3: 4 # C6: 1,2 => CTR => C6: 4,5,8,9
* INC # A3: 4 + C6: 4,5,8,9 # C7: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # B2: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # C2: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # F1: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # H1: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # C4: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # C5: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # C7: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # B2: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # C2: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # F1: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # H1: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # C4: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # C5: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 # C7: 1,2 => UNS
* INC # A3: 4 + C6: 4,5,8,9 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for H2,I2: 8..:

* INC # I2: 8 # F1: 1,2 => UNS
* INC # I2: 8 # F2: 1,2 => UNS
* INC # I2: 8 # A3: 1,2 => UNS
* INC # I2: 8 # G3: 1,2 => UNS
* INC # I2: 8 # H3: 1,2 => UNS
* INC # I2: 8 # D4: 1,2 => UNS
* INC # I2: 8 # D6: 1,2 => UNS
* INC # I2: 8 # G4: 1,3 => UNS
* INC # I2: 8 # G5: 1,3 => UNS
* INC # I2: 8 # H6: 1,3 => UNS
* INC # I2: 8 # A6: 1,3 => UNS
* INC # I2: 8 # B6: 1,3 => UNS
* INC # I2: 8 # D6: 1,3 => UNS
* INC # I2: 8 # I1: 1,3 => UNS
* INC # I2: 8 # I7: 1,3 => UNS
* INC # I2: 8 => UNS
* INC # H2: 8 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for C2,C6: 5..:

* INC # C2: 5 # C1: 1,2 => UNS
* INC # C2: 5 # A3: 1,2 => UNS
* INC # C2: 5 # F2: 1,2 => UNS
* INC # C2: 5 # H2: 1,2 => UNS
* INC # C2: 5 # B4: 1,2 => UNS
* INC # C2: 5 # B7: 1,2 => UNS
* INC # C2: 5 => UNS
* INC # C6: 5 # C1: 1,2 => UNS
* INC # C6: 5 # A3: 1,2 => UNS
* INC # C6: 5 # F2: 1,2 => UNS
* INC # C6: 5 # H2: 1,2 => UNS
* INC # C6: 5 # C4: 1,2 => UNS
* INC # C6: 5 # C5: 1,2 => UNS
* INC # C6: 5 # C7: 1,2 => UNS
* INC # C6: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for B2,B6: 5..:

* INC # B2: 5 # C1: 1,2 => UNS
* INC # B2: 5 # A3: 1,2 => UNS
* INC # B2: 5 # F2: 1,2 => UNS
* INC # B2: 5 # H2: 1,2 => UNS
* INC # B2: 5 # C4: 1,2 => UNS
* INC # B2: 5 # C5: 1,2 => UNS
* INC # B2: 5 # C7: 1,2 => UNS
* INC # B2: 5 => UNS
* INC # B6: 5 # C1: 1,2 => UNS
* INC # B6: 5 # A3: 1,2 => UNS
* INC # B6: 5 # F2: 1,2 => UNS
* INC # B6: 5 # H2: 1,2 => UNS
* INC # B6: 5 # B4: 1,2 => UNS
* INC # B6: 5 # B7: 1,2 => UNS
* INC # B6: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for B6,C6: 5..:

* INC # B6: 5 # C1: 1,2 => UNS
* INC # B6: 5 # A3: 1,2 => UNS
* INC # B6: 5 # F2: 1,2 => UNS
* INC # B6: 5 # H2: 1,2 => UNS
* INC # B6: 5 # B4: 1,2 => UNS
* INC # B6: 5 # B7: 1,2 => UNS
* INC # B6: 5 => UNS
* INC # C6: 5 # C1: 1,2 => UNS
* INC # C6: 5 # A3: 1,2 => UNS
* INC # C6: 5 # F2: 1,2 => UNS
* INC # C6: 5 # H2: 1,2 => UNS
* INC # C6: 5 # C4: 1,2 => UNS
* INC # C6: 5 # C5: 1,2 => UNS
* INC # C6: 5 # C7: 1,2 => UNS
* INC # C6: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for B2,C2: 5..:

* INC # B2: 5 # C1: 1,2 => UNS
* INC # B2: 5 # A3: 1,2 => UNS
* INC # B2: 5 # F2: 1,2 => UNS
* INC # B2: 5 # H2: 1,2 => UNS
* INC # B2: 5 # C4: 1,2 => UNS
* INC # B2: 5 # C5: 1,2 => UNS
* INC # B2: 5 # C7: 1,2 => UNS
* INC # B2: 5 => UNS
* INC # C2: 5 # C1: 1,2 => UNS
* INC # C2: 5 # A3: 1,2 => UNS
* INC # C2: 5 # F2: 1,2 => UNS
* INC # C2: 5 # H2: 1,2 => UNS
* INC # C2: 5 # B4: 1,2 => UNS
* INC # C2: 5 # B7: 1,2 => UNS
* INC # C2: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for F9,I9: 7..:

* INC # F9: 7 => UNS
* INC # I9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

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

* INC # F7: 7 => UNS
* INC # F9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F4,F9: 4..:

* INC # F4: 4 => UNS
* INC # F9: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E6,E8: 4..:

* INC # E6: 4 => UNS
* INC # E8: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E8,F9: 4..:

* INC # E8: 4 => UNS
* INC # F9: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F4,E6: 4..:

* INC # F4: 4 => UNS
* INC # E6: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for H3,H7: 7..:

* INC # H7: 7 # F1: 1,2 => UNS
* INC # H7: 7 # H1: 1,2 => UNS
* INC # H7: 7 # C4: 1,2 => UNS
* INC # H7: 7 # C7: 1,2 => UNS
* INC # H7: 7 # F2: 1,2 => UNS
* INC # H7: 7 # H2: 1,2 => UNS
* INC # H7: 7 # B4: 1,2 => UNS
* INC # H7: 7 # B7: 1,2 => UNS
* INC # H7: 7 # H1: 1,2 => UNS
* INC # H7: 7 # H2: 1,2 => UNS
* INC # H7: 7 # G3: 1,2 => UNS
* INC # H7: 7 # D3: 1,2 => UNS
* INC # H7: 7 # D3: 9 => UNS
* INC # H7: 7 # H6: 1,2 => UNS
* INC # H7: 7 # H6: 3,8 => UNS
* INC # H7: 7 # F1: 1,2 # C4: 1,2 => UNS
* INC # H7: 7 # F1: 1,2 # C7: 1,2 => UNS
* INC # H7: 7 # F1: 1,2 # F2: 1,2 => UNS
* INC # H7: 7 # F1: 1,2 # H2: 1,2 => UNS
* INC # H7: 7 # F1: 1,2 # B4: 1,2 => UNS
* INC # H7: 7 # F1: 1,2 # B7: 1,2 => UNS
* INC # H7: 7 # F1: 1,2 # F2: 1,2 => UNS
* INC # H7: 7 # F1: 1,2 # D3: 1,2 => UNS
* INC # H7: 7 # F1: 1,2 # F5: 1,2 => UNS
* INC # H7: 7 # F1: 1,2 # F5: 3 => UNS
* INC # H7: 7 # F1: 1,2 # H2: 1,2 => UNS
* INC # H7: 7 # F1: 1,2 # G3: 1,2 => UNS
* INC # H7: 7 # F1: 1,2 # D3: 1,2 => UNS
* INC # H7: 7 # F1: 1,2 # D3: 9 => UNS
* INC # H7: 7 # F1: 1,2 # H6: 1,2 => UNS
* INC # H7: 7 # F1: 1,2 # H6: 8 => UNS
* INC # H7: 7 # F1: 1,2 => UNS
* DIS # H7: 7 # H1: 1,2 # C4: 1,2 => CTR => C4: 8
* DIS # H7: 7 # H1: 1,2 + C4: 8 # F2: 1,2 => CTR => F2: 9
* DIS # H7: 7 # H1: 1,2 + C4: 8 + F2: 9 => CTR => H1: 3
* INC # H7: 7 + H1: 3 # C4: 1,2 => UNS
* INC # H7: 7 + H1: 3 # C7: 1,2 => UNS
* INC # H7: 7 + H1: 3 # F2: 1,2 => UNS
* INC # H7: 7 + H1: 3 # H2: 1,2 => UNS
* INC # H7: 7 + H1: 3 # B4: 1,2 => UNS
* INC # H7: 7 + H1: 3 # B7: 1,2 => UNS
* INC # H7: 7 + H1: 3 # F2: 1,2 => UNS
* INC # H7: 7 + H1: 3 # D3: 1,2 => UNS
* INC # H7: 7 + H1: 3 # F5: 1,2 => UNS
* INC # H7: 7 + H1: 3 # F5: 3 => UNS
* INC # H7: 7 + H1: 3 # H2: 1,2 => UNS
* INC # H7: 7 + H1: 3 # G3: 1,2 => UNS
* INC # H7: 7 + H1: 3 # D3: 1,2 => UNS
* INC # H7: 7 + H1: 3 # D3: 9 => UNS
* INC # H7: 7 + H1: 3 # H6: 1,2 => UNS
* INC # H7: 7 + H1: 3 # H6: 8 => UNS
* DIS # H7: 7 + H1: 3 # C4: 1,2 # F2: 1,2 => CTR => F2: 3,9
* DIS # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 # B4: 1,2 => CTR => B4: 3
* INC # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 + B4: 3 # B7: 1,2 => UNS
* INC # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 + B4: 3 # B7: 1,2 => UNS
* DIS # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 + B4: 3 # B7: 9 => CTR => B7: 1,2
* INC # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 + B4: 3 + B7: 1,2 # F5: 1,2 => UNS
* DIS # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 + B4: 3 + B7: 1,2 # F5: 3 => CTR => F5: 1,2
* DIS # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 + B4: 3 + B7: 1,2 + F5: 1,2 # G3: 1,9 => CTR => G3: 2
* DIS # H7: 7 + H1: 3 # C4: 1,2 + F2: 3,9 + B4: 3 + B7: 1,2 + F5: 1,2 + G3: 2 => CTR => C4: 8
* INC # H7: 7 + H1: 3 + C4: 8 # F2: 1,2 => UNS
* DIS # H7: 7 + H1: 3 + C4: 8 # H2: 1,2 => CTR => H2: 8
* INC # H7: 7 + H1: 3 + C4: 8 + H2: 8 # F2: 1,2 => UNS
* INC # H7: 7 + H1: 3 + C4: 8 + H2: 8 # F2: 3,9 => UNS
* INC # H7: 7 + H1: 3 + C4: 8 + H2: 8 # B4: 1,2 => UNS
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 # B7: 1,2 => CTR => B7: 3,9
* INC # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 # B4: 1,2 => UNS
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 # B4: 3 => CTR => B4: 1,2
* INC # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 # F2: 1,2 => UNS
* INC # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 # F2: 3,9 => UNS
* INC # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 # F2: 1,2 => UNS
* INC # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 # F2: 3,9 => UNS
* INC # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 # F5: 1,2 => UNS
* INC # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 # F5: 3 => UNS
* INC # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 # G3: 1,2 => UNS
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 # G3: 9 => CTR => G3: 1,2
* INC # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 + G3: 1,2 # F2: 1,2 => UNS
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 + G3: 1,2 # F2: 3 => CTR => F2: 1,2
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 + G3: 1,2 + F2: 1,2 # G5: 1,2 => CTR => G5: 8
* DIS # H7: 7 + H1: 3 + C4: 8 + H2: 8 + B7: 3,9 + B4: 1,2 + G3: 1,2 + F2: 1,2 + G5: 8 => CTR => H7: 1,3,8
* INC H7: 1,3,8 # H3: 7 => UNS
* STA H7: 1,3,8
* CNT  81 HDP CHAINS /  81 HYP OPENED