Analysis of xx-ph-02236704-2018_12_25-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.76.5..7.4..9....6..3....6...5..73.7.6...58......6...5..7.3.....2............17 initial

Autosolve

position: 98.76.5..7.45.9....6..3.7..6...5..73.7.6...58.....76...5..7.3....72....5..6..5.17 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: 0:00:00.000008

List of important HDP chains detected for B2,H2: 3..:

* DIS # B2: 3 # C6: 1,2 => CTR => C6: 3,5,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for C1,H1: 3..:

* DIS # H1: 3 # C6: 1,2 => CTR => C6: 3,5,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for H1,H2: 3..:

* DIS # H1: 3 # C6: 1,2 => CTR => C6: 3,5,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for C1,B2: 3..:

* DIS # B2: 3 # C6: 1,2 => CTR => C6: 3,5,8,9
* 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: 0:01:06.754154

List of important HDP chains detected for I2,I7: 6..:

* DIS # I7: 6 # I1: 1,2 # C5: 1,2 => CTR => C5: 9
* DIS # I7: 6 # I1: 1,2 + C5: 9 # F3: 1,2 => CTR => F3: 8
* DIS # I7: 6 # I1: 1,2 + C5: 9 + F3: 8 => CTR => I1: 4
* DIS # I7: 6 + I1: 4 # C5: 1,2 # F3: 1,2 => CTR => F3: 4,8
* DIS # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 # A5: 1,2 => CTR => A5: 4
* DIS # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 + A5: 4 # A7: 8 => CTR => A7: 1,2
* DIS # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 + A5: 4 + A7: 1,2 # F4: 4 => CTR => F4: 1,2
* DIS # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 + A5: 4 + A7: 1,2 + F4: 1,2 # G2: 2,8 => CTR => G2: 1
* DIS # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 + A5: 4 + A7: 1,2 + F4: 1,2 + G2: 1 => CTR => C5: 9
* DIS # I7: 6 + I1: 4 + C5: 9 # I3: 1,2 => CTR => I3: 9
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 # A7: 1,2 => CTR => A7: 4,8
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 # A5: 4 => CTR => A5: 1,2
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 # G2: 8 => CTR => G2: 1,2
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 + G2: 1,2 # F3: 4 => CTR => F3: 1,2
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 + G2: 1,2 + F3: 1,2 # G4: 1,2 => CTR => G4: 9
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 + G2: 1,2 + F3: 1,2 + G4: 9 => CTR => I7: 2,4,9
* STA I7: 2,4,9
* 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..9....6..3....6...5..73.7.6...58......6...5..7.3.....2............17 initial
98.76.5..7.45.9....6..3.7..6...5..73.7.6...58.....76...5..7.3....72....5..6..5.17 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C1,B2: 3.. / C1 = 3  =>  2 pairs (_) / B2 = 3  =>  1 pairs (_)
H1,H2: 3.. / H1 = 3  =>  1 pairs (_) / H2 = 3  =>  2 pairs (_)
F5,D6: 3.. / F5 = 3  =>  0 pairs (_) / D6 = 3  =>  0 pairs (_)
F8,D9: 3.. / F8 = 3  =>  0 pairs (_) / D9 = 3  =>  0 pairs (_)
C1,H1: 3.. / C1 = 3  =>  2 pairs (_) / H1 = 3  =>  1 pairs (_)
B2,H2: 3.. / B2 = 3  =>  1 pairs (_) / H2 = 3  =>  2 pairs (_)
D6,D9: 3.. / D6 = 3  =>  0 pairs (_) / D9 = 3  =>  0 pairs (_)
F5,F8: 3.. / F5 = 3  =>  0 pairs (_) / F8 = 3  =>  0 pairs (_)
A3,C3: 5.. / A3 = 5  =>  1 pairs (_) / C3 = 5  =>  1 pairs (_)
A6,C6: 5.. / A6 = 5  =>  1 pairs (_) / C6 = 5  =>  1 pairs (_)
A3,A6: 5.. / A3 = 5  =>  1 pairs (_) / A6 = 5  =>  1 pairs (_)
C3,C6: 5.. / C3 = 5  =>  1 pairs (_) / C6 = 5  =>  1 pairs (_)
H2,I2: 6.. / H2 = 6  =>  3 pairs (_) / I2 = 6  =>  0 pairs (_)
F7,F8: 6.. / F7 = 6  =>  0 pairs (_) / F8 = 6  =>  0 pairs (_)
F8,H8: 6.. / F8 = 6  =>  0 pairs (_) / H8 = 6  =>  0 pairs (_)
I2,I7: 6.. / I2 = 6  =>  0 pairs (_) / I7 = 6  =>  3 pairs (_)
H3,I3: 9.. / H3 = 9  =>  2 pairs (_) / I3 = 9  =>  0 pairs (_)
* DURATION: 0:00:13.022927  START: 16:57:53.941140  END: 16:58:06.964067 2020-11-05
* CP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I2,I7: 6.. / I2 = 6 ==>  0 pairs (_) / I7 = 6 ==>  3 pairs (_)
H2,I2: 6.. / H2 = 6 ==>  3 pairs (_) / I2 = 6 ==>  0 pairs (_)
B2,H2: 3.. / B2 = 3 ==>  1 pairs (_) / H2 = 3 ==>  2 pairs (_)
C1,H1: 3.. / C1 = 3 ==>  2 pairs (_) / H1 = 3 ==>  1 pairs (_)
H1,H2: 3.. / H1 = 3 ==>  1 pairs (_) / H2 = 3 ==>  2 pairs (_)
C1,B2: 3.. / C1 = 3 ==>  2 pairs (_) / B2 = 3 ==>  1 pairs (_)
H3,I3: 9.. / H3 = 9 ==>  2 pairs (_) / I3 = 9 ==>  0 pairs (_)
C3,C6: 5.. / C3 = 5 ==>  1 pairs (_) / C6 = 5 ==>  1 pairs (_)
A3,A6: 5.. / A3 = 5 ==>  1 pairs (_) / A6 = 5 ==>  1 pairs (_)
A6,C6: 5.. / A6 = 5 ==>  1 pairs (_) / C6 = 5 ==>  1 pairs (_)
A3,C3: 5.. / A3 = 5 ==>  1 pairs (_) / C3 = 5 ==>  1 pairs (_)
F8,H8: 6.. / F8 = 6 ==>  0 pairs (_) / H8 = 6 ==>  0 pairs (_)
F7,F8: 6.. / F7 = 6 ==>  0 pairs (_) / F8 = 6 ==>  0 pairs (_)
F5,F8: 3.. / F5 = 3 ==>  0 pairs (_) / F8 = 3 ==>  0 pairs (_)
D6,D9: 3.. / D6 = 3 ==>  0 pairs (_) / D9 = 3 ==>  0 pairs (_)
F8,D9: 3.. / F8 = 3 ==>  0 pairs (_) / D9 = 3 ==>  0 pairs (_)
F5,D6: 3.. / F5 = 3 ==>  0 pairs (_) / D6 = 3 ==>  0 pairs (_)
* DURATION: 0:02:26.614448  START: 16:58:06.964801  END: 17:00:33.579249 2020-11-05
* REASONING B2,H2: 3..
* DIS # B2: 3 # C6: 1,2 => CTR => C6: 3,5,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING C1,H1: 3..
* DIS # H1: 3 # C6: 1,2 => CTR => C6: 3,5,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING H1,H2: 3..
* DIS # H1: 3 # C6: 1,2 => CTR => C6: 3,5,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING C1,B2: 3..
* DIS # B2: 3 # C6: 1,2 => CTR => C6: 3,5,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* DCP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
I2,I7: 6.. / I2 = 6  =>  0 pairs (_) / I7 = 6 ==>  0 pairs (X)
* DURATION: 0:01:06.749370  START: 17:00:33.750236  END: 17:01:40.499606 2020-11-05
* REASONING I2,I7: 6..
* DIS # I7: 6 # I1: 1,2 # C5: 1,2 => CTR => C5: 9
* DIS # I7: 6 # I1: 1,2 + C5: 9 # F3: 1,2 => CTR => F3: 8
* DIS # I7: 6 # I1: 1,2 + C5: 9 + F3: 8 => CTR => I1: 4
* DIS # I7: 6 + I1: 4 # C5: 1,2 # F3: 1,2 => CTR => F3: 4,8
* DIS # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 # A5: 1,2 => CTR => A5: 4
* DIS # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 + A5: 4 # A7: 8 => CTR => A7: 1,2
* DIS # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 + A5: 4 + A7: 1,2 # F4: 4 => CTR => F4: 1,2
* DIS # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 + A5: 4 + A7: 1,2 + F4: 1,2 # G2: 2,8 => CTR => G2: 1
* DIS # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 + A5: 4 + A7: 1,2 + F4: 1,2 + G2: 1 => CTR => C5: 9
* DIS # I7: 6 + I1: 4 + C5: 9 # I3: 1,2 => CTR => I3: 9
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 # A7: 1,2 => CTR => A7: 4,8
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 # A5: 4 => CTR => A5: 1,2
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 # G2: 8 => CTR => G2: 1,2
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 + G2: 1,2 # F3: 4 => CTR => F3: 1,2
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 + G2: 1,2 + F3: 1,2 # G4: 1,2 => CTR => G4: 9
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 + G2: 1,2 + F3: 1,2 + G4: 9 => CTR => I7: 2,4,9
* STA I7: 2,4,9
* CNT  16 HDP CHAINS /  81 HYP OPENED
* VDCP COUNT: (1)
* CLUE FOUND

Header Info

2236704;2018_12_25;PAQ;25;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I2,I7: 6..:

* INC # I7: 6 # F1: 1,2 => UNS
* INC # I7: 6 # I1: 1,2 => UNS
* INC # I7: 6 # C5: 1,2 => UNS
* INC # I7: 6 # C7: 1,2 => UNS
* INC # I7: 6 # F3: 1,2 => UNS
* INC # I7: 6 # I3: 1,2 => UNS
* INC # I7: 6 # A5: 1,2 => UNS
* INC # I7: 6 # A7: 1,2 => UNS
* INC # I7: 6 # I1: 1,2 => UNS
* INC # I7: 6 # G2: 1,2 => UNS
* INC # I7: 6 # I3: 1,2 => UNS
* INC # I7: 6 # E2: 1,2 => UNS
* INC # I7: 6 # E2: 8 => UNS
* INC # I7: 6 # I6: 1,2 => UNS
* INC # I7: 6 # I6: 4,9 => UNS
* INC # I7: 6 => UNS
* INC # I2: 6 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for H2,I2: 6..:

* INC # H2: 6 # F1: 1,2 => UNS
* INC # H2: 6 # I1: 1,2 => UNS
* INC # H2: 6 # C5: 1,2 => UNS
* INC # H2: 6 # C7: 1,2 => UNS
* INC # H2: 6 # F3: 1,2 => UNS
* INC # H2: 6 # I3: 1,2 => UNS
* INC # H2: 6 # A5: 1,2 => UNS
* INC # H2: 6 # A7: 1,2 => UNS
* INC # H2: 6 # I1: 1,2 => UNS
* INC # H2: 6 # G2: 1,2 => UNS
* INC # H2: 6 # I3: 1,2 => UNS
* INC # H2: 6 # E2: 1,2 => UNS
* INC # H2: 6 # E2: 8 => UNS
* INC # H2: 6 # I6: 1,2 => UNS
* INC # H2: 6 # I6: 4,9 => UNS
* INC # H2: 6 => UNS
* INC # I2: 6 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for B2,H2: 3..:

* INC # H2: 3 # A3: 1,2 => UNS
* INC # H2: 3 # C3: 1,2 => UNS
* INC # H2: 3 # E2: 1,2 => UNS
* INC # H2: 3 # G2: 1,2 => UNS
* INC # H2: 3 # B4: 1,2 => UNS
* INC # H2: 3 # B6: 1,2 => UNS
* INC # H2: 3 # I1: 2,4 => UNS
* INC # H2: 3 # H3: 2,4 => UNS
* INC # H2: 3 # I3: 2,4 => UNS
* INC # H2: 3 # F1: 2,4 => UNS
* INC # H2: 3 # F1: 1 => UNS
* INC # H2: 3 # H6: 2,4 => UNS
* INC # H2: 3 # H7: 2,4 => UNS
* INC # H2: 3 => UNS
* INC # B2: 3 # A3: 1,2 => UNS
* INC # B2: 3 # C3: 1,2 => UNS
* INC # B2: 3 # F1: 1,2 => UNS
* INC # B2: 3 # I1: 1,2 => UNS
* INC # B2: 3 # C4: 1,2 => UNS
* INC # B2: 3 # C5: 1,2 => UNS
* DIS # B2: 3 # C6: 1,2 => CTR => C6: 3,5,8,9
* INC # B2: 3 + C6: 3,5,8,9 # C7: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # A3: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # C3: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # F1: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # I1: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # C4: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # C5: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # C7: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # A3: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # C3: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # F1: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # I1: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # C4: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # C5: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # C7: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for C1,H1: 3..:

* INC # C1: 3 # A3: 1,2 => UNS
* INC # C1: 3 # C3: 1,2 => UNS
* INC # C1: 3 # E2: 1,2 => UNS
* INC # C1: 3 # G2: 1,2 => UNS
* INC # C1: 3 # B4: 1,2 => UNS
* INC # C1: 3 # B6: 1,2 => UNS
* INC # C1: 3 # I1: 2,4 => UNS
* INC # C1: 3 # H3: 2,4 => UNS
* INC # C1: 3 # I3: 2,4 => UNS
* INC # C1: 3 # F1: 2,4 => UNS
* INC # C1: 3 # F1: 1 => UNS
* INC # C1: 3 # H6: 2,4 => UNS
* INC # C1: 3 # H7: 2,4 => UNS
* INC # C1: 3 => UNS
* INC # H1: 3 # A3: 1,2 => UNS
* INC # H1: 3 # C3: 1,2 => UNS
* INC # H1: 3 # F1: 1,2 => UNS
* INC # H1: 3 # I1: 1,2 => UNS
* INC # H1: 3 # C4: 1,2 => UNS
* INC # H1: 3 # C5: 1,2 => UNS
* DIS # H1: 3 # C6: 1,2 => CTR => C6: 3,5,8,9
* INC # H1: 3 + C6: 3,5,8,9 # C7: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # A3: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # C3: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # F1: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # I1: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # C4: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # C5: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # C7: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # A3: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # C3: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # F1: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # I1: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # C4: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # C5: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # C7: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for H1,H2: 3..:

* INC # H2: 3 # A3: 1,2 => UNS
* INC # H2: 3 # C3: 1,2 => UNS
* INC # H2: 3 # E2: 1,2 => UNS
* INC # H2: 3 # G2: 1,2 => UNS
* INC # H2: 3 # B4: 1,2 => UNS
* INC # H2: 3 # B6: 1,2 => UNS
* INC # H2: 3 # I1: 2,4 => UNS
* INC # H2: 3 # H3: 2,4 => UNS
* INC # H2: 3 # I3: 2,4 => UNS
* INC # H2: 3 # F1: 2,4 => UNS
* INC # H2: 3 # F1: 1 => UNS
* INC # H2: 3 # H6: 2,4 => UNS
* INC # H2: 3 # H7: 2,4 => UNS
* INC # H2: 3 => UNS
* INC # H1: 3 # A3: 1,2 => UNS
* INC # H1: 3 # C3: 1,2 => UNS
* INC # H1: 3 # F1: 1,2 => UNS
* INC # H1: 3 # I1: 1,2 => UNS
* INC # H1: 3 # C4: 1,2 => UNS
* INC # H1: 3 # C5: 1,2 => UNS
* DIS # H1: 3 # C6: 1,2 => CTR => C6: 3,5,8,9
* INC # H1: 3 + C6: 3,5,8,9 # C7: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # A3: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # C3: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # F1: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # I1: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # C4: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # C5: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # C7: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # A3: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # C3: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # F1: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # I1: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # C4: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # C5: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 # C7: 1,2 => UNS
* INC # H1: 3 + C6: 3,5,8,9 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for C1,B2: 3..:

* INC # C1: 3 # A3: 1,2 => UNS
* INC # C1: 3 # C3: 1,2 => UNS
* INC # C1: 3 # E2: 1,2 => UNS
* INC # C1: 3 # G2: 1,2 => UNS
* INC # C1: 3 # B4: 1,2 => UNS
* INC # C1: 3 # B6: 1,2 => UNS
* INC # C1: 3 # I1: 2,4 => UNS
* INC # C1: 3 # H3: 2,4 => UNS
* INC # C1: 3 # I3: 2,4 => UNS
* INC # C1: 3 # F1: 2,4 => UNS
* INC # C1: 3 # F1: 1 => UNS
* INC # C1: 3 # H6: 2,4 => UNS
* INC # C1: 3 # H7: 2,4 => UNS
* INC # C1: 3 => UNS
* INC # B2: 3 # A3: 1,2 => UNS
* INC # B2: 3 # C3: 1,2 => UNS
* INC # B2: 3 # F1: 1,2 => UNS
* INC # B2: 3 # I1: 1,2 => UNS
* INC # B2: 3 # C4: 1,2 => UNS
* INC # B2: 3 # C5: 1,2 => UNS
* DIS # B2: 3 # C6: 1,2 => CTR => C6: 3,5,8,9
* INC # B2: 3 + C6: 3,5,8,9 # C7: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # A3: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # C3: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # F1: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # I1: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # C4: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # C5: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # C7: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # A3: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # C3: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # F1: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # I1: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # C4: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # C5: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 # C7: 1,2 => UNS
* INC # B2: 3 + C6: 3,5,8,9 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

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

* INC # H3: 9 # F1: 1,2 => UNS
* INC # H3: 9 # F3: 1,2 => UNS
* INC # H3: 9 # B2: 1,2 => UNS
* INC # H3: 9 # G2: 1,2 => UNS
* INC # H3: 9 # I2: 1,2 => UNS
* INC # H3: 9 # E5: 1,2 => UNS
* INC # H3: 9 # E6: 1,2 => UNS
* INC # H3: 9 # G4: 2,4 => UNS
* INC # H3: 9 # G5: 2,4 => UNS
* INC # H3: 9 # I6: 2,4 => UNS
* INC # H3: 9 # A6: 2,4 => UNS
* INC # H3: 9 # B6: 2,4 => UNS
* INC # H3: 9 # E6: 2,4 => UNS
* INC # H3: 9 # H1: 2,4 => UNS
* INC # H3: 9 # H7: 2,4 => UNS
* INC # H3: 9 => UNS
* INC # I3: 9 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for C3,C6: 5..:

* INC # C3: 5 # C1: 1,2 => UNS
* INC # C3: 5 # B2: 1,2 => UNS
* INC # C3: 5 # F3: 1,2 => UNS
* INC # C3: 5 # I3: 1,2 => UNS
* INC # C3: 5 # A5: 1,2 => UNS
* INC # C3: 5 # A7: 1,2 => UNS
* INC # C3: 5 => UNS
* INC # C6: 5 # C1: 1,2 => UNS
* INC # C6: 5 # B2: 1,2 => UNS
* INC # C6: 5 # F3: 1,2 => UNS
* INC # C6: 5 # I3: 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 A3,A6: 5..:

* INC # A3: 5 # C1: 1,2 => UNS
* INC # A3: 5 # B2: 1,2 => UNS
* INC # A3: 5 # F3: 1,2 => UNS
* INC # A3: 5 # I3: 1,2 => UNS
* INC # A3: 5 # C4: 1,2 => UNS
* INC # A3: 5 # C5: 1,2 => UNS
* INC # A3: 5 # C7: 1,2 => UNS
* INC # A3: 5 => UNS
* INC # A6: 5 # C1: 1,2 => UNS
* INC # A6: 5 # B2: 1,2 => UNS
* INC # A6: 5 # F3: 1,2 => UNS
* INC # A6: 5 # I3: 1,2 => UNS
* INC # A6: 5 # A5: 1,2 => UNS
* INC # A6: 5 # A7: 1,2 => UNS
* INC # A6: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for A6,C6: 5..:

* INC # A6: 5 # C1: 1,2 => UNS
* INC # A6: 5 # B2: 1,2 => UNS
* INC # A6: 5 # F3: 1,2 => UNS
* INC # A6: 5 # I3: 1,2 => UNS
* INC # A6: 5 # A5: 1,2 => UNS
* INC # A6: 5 # A7: 1,2 => UNS
* INC # A6: 5 => UNS
* INC # C6: 5 # C1: 1,2 => UNS
* INC # C6: 5 # B2: 1,2 => UNS
* INC # C6: 5 # F3: 1,2 => UNS
* INC # C6: 5 # I3: 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 A3,C3: 5..:

* INC # A3: 5 # C1: 1,2 => UNS
* INC # A3: 5 # B2: 1,2 => UNS
* INC # A3: 5 # F3: 1,2 => UNS
* INC # A3: 5 # I3: 1,2 => UNS
* INC # A3: 5 # C4: 1,2 => UNS
* INC # A3: 5 # C5: 1,2 => UNS
* INC # A3: 5 # C7: 1,2 => UNS
* INC # A3: 5 => UNS
* INC # C3: 5 # C1: 1,2 => UNS
* INC # C3: 5 # B2: 1,2 => UNS
* INC # C3: 5 # F3: 1,2 => UNS
* INC # C3: 5 # I3: 1,2 => UNS
* INC # C3: 5 # A5: 1,2 => UNS
* INC # C3: 5 # A7: 1,2 => UNS
* INC # C3: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for F8,H8: 6..:

* INC # F8: 6 => UNS
* INC # H8: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F7,F8: 6..:

* INC # F7: 6 => UNS
* INC # F8: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F5,F8: 3..:

* INC # F5: 3 => UNS
* INC # F8: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for D6,D9: 3..:

* INC # D6: 3 => UNS
* INC # D9: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F8,D9: 3..:

* INC # F8: 3 => UNS
* INC # D9: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F5,D6: 3..:

* INC # F5: 3 => UNS
* INC # D6: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for I2,I7: 6..:

* INC # I7: 6 # F1: 1,2 => UNS
* INC # I7: 6 # I1: 1,2 => UNS
* INC # I7: 6 # C5: 1,2 => UNS
* INC # I7: 6 # C7: 1,2 => UNS
* INC # I7: 6 # F3: 1,2 => UNS
* INC # I7: 6 # I3: 1,2 => UNS
* INC # I7: 6 # A5: 1,2 => UNS
* INC # I7: 6 # A7: 1,2 => UNS
* INC # I7: 6 # I1: 1,2 => UNS
* INC # I7: 6 # G2: 1,2 => UNS
* INC # I7: 6 # I3: 1,2 => UNS
* INC # I7: 6 # E2: 1,2 => UNS
* INC # I7: 6 # E2: 8 => UNS
* INC # I7: 6 # I6: 1,2 => UNS
* INC # I7: 6 # I6: 4,9 => UNS
* INC # I7: 6 # F1: 1,2 # C5: 1,2 => UNS
* INC # I7: 6 # F1: 1,2 # C7: 1,2 => UNS
* INC # I7: 6 # F1: 1,2 # F3: 1,2 => UNS
* INC # I7: 6 # F1: 1,2 # I3: 1,2 => UNS
* INC # I7: 6 # F1: 1,2 # A5: 1,2 => UNS
* INC # I7: 6 # F1: 1,2 # A7: 1,2 => UNS
* INC # I7: 6 # F1: 1,2 # E2: 1,2 => UNS
* INC # I7: 6 # F1: 1,2 # F3: 1,2 => UNS
* INC # I7: 6 # F1: 1,2 # F4: 1,2 => UNS
* INC # I7: 6 # F1: 1,2 # F4: 4 => UNS
* INC # I7: 6 # F1: 1,2 # G2: 1,2 => UNS
* INC # I7: 6 # F1: 1,2 # I3: 1,2 => UNS
* INC # I7: 6 # F1: 1,2 # E2: 1,2 => UNS
* INC # I7: 6 # F1: 1,2 # E2: 8 => UNS
* INC # I7: 6 # F1: 1,2 # I6: 1,2 => UNS
* INC # I7: 6 # F1: 1,2 # I6: 9 => UNS
* INC # I7: 6 # F1: 1,2 => UNS
* DIS # I7: 6 # I1: 1,2 # C5: 1,2 => CTR => C5: 9
* DIS # I7: 6 # I1: 1,2 + C5: 9 # F3: 1,2 => CTR => F3: 8
* DIS # I7: 6 # I1: 1,2 + C5: 9 + F3: 8 => CTR => I1: 4
* INC # I7: 6 + I1: 4 # C5: 1,2 => UNS
* INC # I7: 6 + I1: 4 # C7: 1,2 => UNS
* INC # I7: 6 + I1: 4 # F3: 1,2 => UNS
* INC # I7: 6 + I1: 4 # I3: 1,2 => UNS
* INC # I7: 6 + I1: 4 # A5: 1,2 => UNS
* INC # I7: 6 + I1: 4 # A7: 1,2 => UNS
* INC # I7: 6 + I1: 4 # E2: 1,2 => UNS
* INC # I7: 6 + I1: 4 # F3: 1,2 => UNS
* INC # I7: 6 + I1: 4 # F4: 1,2 => UNS
* INC # I7: 6 + I1: 4 # F4: 4 => UNS
* INC # I7: 6 + I1: 4 # G2: 1,2 => UNS
* INC # I7: 6 + I1: 4 # I3: 1,2 => UNS
* INC # I7: 6 + I1: 4 # E2: 1,2 => UNS
* INC # I7: 6 + I1: 4 # E2: 8 => UNS
* INC # I7: 6 + I1: 4 # I6: 1,2 => UNS
* INC # I7: 6 + I1: 4 # I6: 9 => UNS
* DIS # I7: 6 + I1: 4 # C5: 1,2 # F3: 1,2 => CTR => F3: 4,8
* DIS # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 # A5: 1,2 => CTR => A5: 4
* INC # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 + A5: 4 # A7: 1,2 => UNS
* INC # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 + A5: 4 # A7: 1,2 => UNS
* DIS # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 + A5: 4 # A7: 8 => CTR => A7: 1,2
* INC # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 + A5: 4 + A7: 1,2 # F4: 1,2 => UNS
* DIS # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 + A5: 4 + A7: 1,2 # F4: 4 => CTR => F4: 1,2
* DIS # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 + A5: 4 + A7: 1,2 + F4: 1,2 # G2: 2,8 => CTR => G2: 1
* DIS # I7: 6 + I1: 4 # C5: 1,2 + F3: 4,8 + A5: 4 + A7: 1,2 + F4: 1,2 + G2: 1 => CTR => C5: 9
* INC # I7: 6 + I1: 4 + C5: 9 # F3: 1,2 => UNS
* DIS # I7: 6 + I1: 4 + C5: 9 # I3: 1,2 => CTR => I3: 9
* INC # I7: 6 + I1: 4 + C5: 9 + I3: 9 # F3: 1,2 => UNS
* INC # I7: 6 + I1: 4 + C5: 9 + I3: 9 # F3: 4,8 => UNS
* INC # I7: 6 + I1: 4 + C5: 9 + I3: 9 # A5: 1,2 => UNS
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 # A7: 1,2 => CTR => A7: 4,8
* INC # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 # A5: 1,2 => UNS
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 # A5: 4 => CTR => A5: 1,2
* INC # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 # F3: 1,2 => UNS
* INC # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 # F3: 4,8 => UNS
* INC # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 # F3: 1,2 => UNS
* INC # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 # F3: 4,8 => UNS
* INC # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 # F4: 1,2 => UNS
* INC # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 # F4: 4 => UNS
* INC # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 # G2: 1,2 => UNS
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 # G2: 8 => CTR => G2: 1,2
* INC # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 + G2: 1,2 # F3: 1,2 => UNS
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 + G2: 1,2 # F3: 4 => CTR => F3: 1,2
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 + G2: 1,2 + F3: 1,2 # G4: 1,2 => CTR => G4: 9
* DIS # I7: 6 + I1: 4 + C5: 9 + I3: 9 + A7: 4,8 + A5: 1,2 + G2: 1,2 + F3: 1,2 + G4: 9 => CTR => I7: 2,4,9
* INC I7: 2,4,9 # I2: 6 => UNS
* STA I7: 2,4,9
* CNT  81 HDP CHAINS /  81 HYP OPENED