Analysis of xx-ph-02210360-2018_12_06-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.76....7...5......4..86..6....749..4.....3....6....24..1....7.7....84...6.....3 initial

Autosolve

position: 98.76....76..5......4..867.6....749..4.....36...64...24..1...67.7...684...6.7...3 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 I2,I4: 8..:

* DIS # I4: 8 # C6: 1,5 => CTR => C6: 3,7,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for H2,H6: 8..:

* DIS # H2: 8 # C6: 1,5 => CTR => C6: 3,7,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for I4,H6: 8..:

* DIS # I4: 8 # C6: 1,5 => CTR => C6: 3,7,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for H2,I2: 8..:

* DIS # H2: 8 # C6: 1,5 => CTR => C6: 3,7,8,9
* 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: 0:00:51.188371

List of important HDP chains detected for F1,I1: 4..:

* DIS # F1: 4 # G1: 1,5 # B3: 1,2 => CTR => B3: 5
* DIS # F1: 4 # G1: 1,5 + B3: 5 # F2: 9 => CTR => F2: 1,2
* DIS # F1: 4 # G1: 1,5 + B3: 5 + F2: 1,2 # C8: 1,2 => CTR => C8: 5,9
* DIS # F1: 4 # G1: 1,5 + B3: 5 + F2: 1,2 + C8: 5,9 # C4: 5 => CTR => C4: 1,2
* DIS # F1: 4 # G1: 1,5 + B3: 5 + F2: 1,2 + C8: 5,9 + C4: 1,2 # E3: 2,3 => CTR => E3: 1
* DIS # F1: 4 # G1: 1,5 + B3: 5 + F2: 1,2 + C8: 5,9 + C4: 1,2 + E3: 1 => CTR => G1: 2,3
* DIS # F1: 4 + G1: 2,3 # H1: 1,5 # A3: 2,3 => CTR => A3: 1,5
* DIS # F1: 4 + G1: 2,3 # H1: 1,5 + A3: 1,5 # B3: 2,3 => CTR => B3: 1,5
* DIS # F1: 4 + G1: 2,3 # H1: 1,5 + A3: 1,5 + B3: 1,5 # D4: 2,3 => CTR => D4: 5
* DIS # F1: 4 + G1: 2,3 # H1: 1,5 + A3: 1,5 + B3: 1,5 + D4: 5 => CTR => H1: 2
* DIS # F1: 4 + G1: 2,3 + H1: 2 # I3: 9 => CTR => I3: 1,5
* DIS # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 # G9: 2 => CTR => G9: 1,5
* DIS # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 + G9: 1,5 # F5: 1,5 => CTR => F5: 2
* DIS # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 + G9: 1,5 + F5: 2 # A6: 1,5 => CTR => A6: 3
* DIS # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 + G9: 1,5 + F5: 2 + A6: 3 # B3: 1,5 => CTR => B3: 3
* DIS # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 + G9: 1,5 + F5: 2 + A6: 3 + B3: 3 => CTR => F1: 1,2,3
* STA F1: 1,2,3
* CNT  16 HDP CHAINS /  64 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....7...5......4..86..6....749..4.....3....6....24..1....7.7....84...6.....3 initial
98.76....76..5......4..867.6....749..4.....36...64...24..1...67.7...684...6.7...3 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G1,G2: 3.. / G1 = 3  =>  0 pairs (_) / G2 = 3  =>  2 pairs (_)
I1,I2: 4.. / I1 = 4  =>  0 pairs (_) / I2 = 4  =>  3 pairs (_)
D9,F9: 4.. / D9 = 4  =>  0 pairs (_) / F9 = 4  =>  0 pairs (_)
F1,I1: 4.. / F1 = 4  =>  3 pairs (_) / I1 = 4  =>  0 pairs (_)
D2,D9: 4.. / D2 = 4  =>  0 pairs (_) / D9 = 4  =>  0 pairs (_)
C5,C6: 7.. / C5 = 7  =>  1 pairs (_) / C6 = 7  =>  1 pairs (_)
G5,G6: 7.. / G5 = 7  =>  1 pairs (_) / G6 = 7  =>  1 pairs (_)
C5,G5: 7.. / C5 = 7  =>  1 pairs (_) / G5 = 7  =>  1 pairs (_)
C6,G6: 7.. / C6 = 7  =>  1 pairs (_) / G6 = 7  =>  1 pairs (_)
H2,I2: 8.. / H2 = 8  =>  1 pairs (_) / I2 = 8  =>  2 pairs (_)
I4,H6: 8.. / I4 = 8  =>  1 pairs (_) / H6 = 8  =>  2 pairs (_)
C7,A9: 8.. / C7 = 8  =>  0 pairs (_) / A9 = 8  =>  0 pairs (_)
E7,D9: 8.. / E7 = 8  =>  0 pairs (_) / D9 = 8  =>  0 pairs (_)
C7,E7: 8.. / C7 = 8  =>  0 pairs (_) / E7 = 8  =>  0 pairs (_)
A9,D9: 8.. / A9 = 8  =>  0 pairs (_) / D9 = 8  =>  0 pairs (_)
H2,H6: 8.. / H2 = 8  =>  1 pairs (_) / H6 = 8  =>  2 pairs (_)
I2,I4: 8.. / I2 = 8  =>  2 pairs (_) / I4 = 8  =>  1 pairs (_)
* DURATION: 0:00:12.836200  START: 21:56:48.949137  END: 21:57:01.785337 2020-11-04
* CP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F1,I1: 4.. / F1 = 4 ==>  3 pairs (_) / I1 = 4 ==>  0 pairs (_)
I1,I2: 4.. / I1 = 4 ==>  0 pairs (_) / I2 = 4 ==>  3 pairs (_)
I2,I4: 8.. / I2 = 8 ==>  2 pairs (_) / I4 = 8 ==>  1 pairs (_)
H2,H6: 8.. / H2 = 8 ==>  1 pairs (_) / H6 = 8 ==>  2 pairs (_)
I4,H6: 8.. / I4 = 8 ==>  1 pairs (_) / H6 = 8 ==>  2 pairs (_)
H2,I2: 8.. / H2 = 8 ==>  1 pairs (_) / I2 = 8 ==>  2 pairs (_)
G1,G2: 3.. / G1 = 3 ==>  0 pairs (_) / G2 = 3 ==>  2 pairs (_)
C6,G6: 7.. / C6 = 7 ==>  1 pairs (_) / G6 = 7 ==>  1 pairs (_)
C5,G5: 7.. / C5 = 7 ==>  1 pairs (_) / G5 = 7 ==>  1 pairs (_)
G5,G6: 7.. / G5 = 7 ==>  1 pairs (_) / G6 = 7 ==>  1 pairs (_)
C5,C6: 7.. / C5 = 7 ==>  1 pairs (_) / C6 = 7 ==>  1 pairs (_)
A9,D9: 8.. / A9 = 8 ==>  0 pairs (_) / D9 = 8 ==>  0 pairs (_)
C7,E7: 8.. / C7 = 8 ==>  0 pairs (_) / E7 = 8 ==>  0 pairs (_)
E7,D9: 8.. / E7 = 8 ==>  0 pairs (_) / D9 = 8 ==>  0 pairs (_)
C7,A9: 8.. / C7 = 8 ==>  0 pairs (_) / A9 = 8 ==>  0 pairs (_)
D2,D9: 4.. / D2 = 4 ==>  0 pairs (_) / D9 = 4 ==>  0 pairs (_)
D9,F9: 4.. / D9 = 4 ==>  0 pairs (_) / F9 = 4 ==>  0 pairs (_)
* DURATION: 0:02:21.811939  START: 21:57:01.785869  END: 21:59:23.597808 2020-11-04
* REASONING I2,I4: 8..
* DIS # I4: 8 # C6: 1,5 => CTR => C6: 3,7,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING H2,H6: 8..
* DIS # H2: 8 # C6: 1,5 => CTR => C6: 3,7,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING I4,H6: 8..
* DIS # I4: 8 # C6: 1,5 => CTR => C6: 3,7,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING H2,I2: 8..
* DIS # H2: 8 # C6: 1,5 => CTR => C6: 3,7,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* DCP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
F1,I1: 4.. / F1 = 4 ==>  0 pairs (X) / I1 = 4  =>  0 pairs (_)
* DURATION: 0:00:51.183649  START: 21:59:23.787296  END: 22:00:14.970945 2020-11-04
* REASONING F1,I1: 4..
* DIS # F1: 4 # G1: 1,5 # B3: 1,2 => CTR => B3: 5
* DIS # F1: 4 # G1: 1,5 + B3: 5 # F2: 9 => CTR => F2: 1,2
* DIS # F1: 4 # G1: 1,5 + B3: 5 + F2: 1,2 # C8: 1,2 => CTR => C8: 5,9
* DIS # F1: 4 # G1: 1,5 + B3: 5 + F2: 1,2 + C8: 5,9 # C4: 5 => CTR => C4: 1,2
* DIS # F1: 4 # G1: 1,5 + B3: 5 + F2: 1,2 + C8: 5,9 + C4: 1,2 # E3: 2,3 => CTR => E3: 1
* DIS # F1: 4 # G1: 1,5 + B3: 5 + F2: 1,2 + C8: 5,9 + C4: 1,2 + E3: 1 => CTR => G1: 2,3
* DIS # F1: 4 + G1: 2,3 # H1: 1,5 # A3: 2,3 => CTR => A3: 1,5
* DIS # F1: 4 + G1: 2,3 # H1: 1,5 + A3: 1,5 # B3: 2,3 => CTR => B3: 1,5
* DIS # F1: 4 + G1: 2,3 # H1: 1,5 + A3: 1,5 + B3: 1,5 # D4: 2,3 => CTR => D4: 5
* DIS # F1: 4 + G1: 2,3 # H1: 1,5 + A3: 1,5 + B3: 1,5 + D4: 5 => CTR => H1: 2
* DIS # F1: 4 + G1: 2,3 + H1: 2 # I3: 9 => CTR => I3: 1,5
* DIS # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 # G9: 2 => CTR => G9: 1,5
* DIS # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 + G9: 1,5 # F5: 1,5 => CTR => F5: 2
* DIS # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 + G9: 1,5 + F5: 2 # A6: 1,5 => CTR => A6: 3
* DIS # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 + G9: 1,5 + F5: 2 + A6: 3 # B3: 1,5 => CTR => B3: 3
* DIS # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 + G9: 1,5 + F5: 2 + A6: 3 + B3: 3 => CTR => F1: 1,2,3
* STA F1: 1,2,3
* CNT  16 HDP CHAINS /  64 HYP OPENED
* VDCP COUNT: (1)
* CLUE FOUND

Header Info

2210360;2018_12_06;PAQ;25;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F1,I1: 4..:

* INC # F1: 4 # G1: 1,5 => UNS
* INC # F1: 4 # H1: 1,5 => UNS
* INC # F1: 4 # I3: 1,5 => UNS
* INC # F1: 4 # C1: 1,5 => UNS
* INC # F1: 4 # C1: 2,3 => UNS
* INC # F1: 4 # I8: 1,5 => UNS
* INC # F1: 4 # I8: 9 => UNS
* INC # F1: 4 # A5: 1,5 => UNS
* INC # F1: 4 # F5: 1,5 => UNS
* INC # F1: 4 # G1: 1,5 => UNS
* INC # F1: 4 # G9: 1,5 => UNS
* INC # F1: 4 # A6: 1,5 => UNS
* INC # F1: 4 # F6: 1,5 => UNS
* INC # F1: 4 # H1: 1,5 => UNS
* INC # F1: 4 # H9: 1,5 => UNS
* INC # F1: 4 => UNS
* INC # I1: 4 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for I1,I2: 4..:

* INC # I2: 4 # G1: 1,5 => UNS
* INC # I2: 4 # H1: 1,5 => UNS
* INC # I2: 4 # I3: 1,5 => UNS
* INC # I2: 4 # C1: 1,5 => UNS
* INC # I2: 4 # C1: 2,3 => UNS
* INC # I2: 4 # I8: 1,5 => UNS
* INC # I2: 4 # I8: 9 => UNS
* INC # I2: 4 # A5: 1,5 => UNS
* INC # I2: 4 # F5: 1,5 => UNS
* INC # I2: 4 # G1: 1,5 => UNS
* INC # I2: 4 # G9: 1,5 => UNS
* INC # I2: 4 # A6: 1,5 => UNS
* INC # I2: 4 # F6: 1,5 => UNS
* INC # I2: 4 # H1: 1,5 => UNS
* INC # I2: 4 # H9: 1,5 => UNS
* INC # I2: 4 => UNS
* INC # I1: 4 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for I2,I4: 8..:

* INC # I2: 8 # G1: 1,2 => UNS
* INC # I2: 8 # H1: 1,2 => UNS
* INC # I2: 8 # G2: 1,2 => UNS
* INC # I2: 8 # C2: 1,2 => UNS
* INC # I2: 8 # F2: 1,2 => UNS
* INC # I2: 8 # H9: 1,2 => UNS
* INC # I2: 8 # H9: 5 => UNS
* INC # I2: 8 # G5: 1,5 => UNS
* INC # I2: 8 # G6: 1,5 => UNS
* INC # I2: 8 # B4: 1,5 => UNS
* INC # I2: 8 # C4: 1,5 => UNS
* INC # I2: 8 # I3: 1,5 => UNS
* INC # I2: 8 # I8: 1,5 => UNS
* INC # I2: 8 => UNS
* INC # I4: 8 # G5: 1,5 => UNS
* INC # I4: 8 # G6: 1,5 => UNS
* INC # I4: 8 # A6: 1,5 => UNS
* INC # I4: 8 # B6: 1,5 => UNS
* DIS # I4: 8 # C6: 1,5 => CTR => C6: 3,7,8,9
* INC # I4: 8 + C6: 3,7,8,9 # F6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # H1: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # H9: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # G5: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # G6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # A6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # B6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # F6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # H1: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # H9: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # G5: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # G6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # A6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # B6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # F6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # H1: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # H9: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for H2,H6: 8..:

* INC # H6: 8 # G1: 1,2 => UNS
* INC # H6: 8 # H1: 1,2 => UNS
* INC # H6: 8 # G2: 1,2 => UNS
* INC # H6: 8 # C2: 1,2 => UNS
* INC # H6: 8 # F2: 1,2 => UNS
* INC # H6: 8 # H9: 1,2 => UNS
* INC # H6: 8 # H9: 5 => UNS
* INC # H6: 8 # G5: 1,5 => UNS
* INC # H6: 8 # G6: 1,5 => UNS
* INC # H6: 8 # B4: 1,5 => UNS
* INC # H6: 8 # C4: 1,5 => UNS
* INC # H6: 8 # I3: 1,5 => UNS
* INC # H6: 8 # I8: 1,5 => UNS
* INC # H6: 8 => UNS
* INC # H2: 8 # G5: 1,5 => UNS
* INC # H2: 8 # G6: 1,5 => UNS
* INC # H2: 8 # A6: 1,5 => UNS
* INC # H2: 8 # B6: 1,5 => UNS
* DIS # H2: 8 # C6: 1,5 => CTR => C6: 3,7,8,9
* INC # H2: 8 + C6: 3,7,8,9 # F6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # H1: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # H9: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # G5: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # G6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # A6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # B6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # F6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # H1: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # H9: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # G5: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # G6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # A6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # B6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # F6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # H1: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # H9: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for I4,H6: 8..:

* INC # H6: 8 # G1: 1,2 => UNS
* INC # H6: 8 # H1: 1,2 => UNS
* INC # H6: 8 # G2: 1,2 => UNS
* INC # H6: 8 # C2: 1,2 => UNS
* INC # H6: 8 # F2: 1,2 => UNS
* INC # H6: 8 # H9: 1,2 => UNS
* INC # H6: 8 # H9: 5 => UNS
* INC # H6: 8 # G5: 1,5 => UNS
* INC # H6: 8 # G6: 1,5 => UNS
* INC # H6: 8 # B4: 1,5 => UNS
* INC # H6: 8 # C4: 1,5 => UNS
* INC # H6: 8 # I3: 1,5 => UNS
* INC # H6: 8 # I8: 1,5 => UNS
* INC # H6: 8 => UNS
* INC # I4: 8 # G5: 1,5 => UNS
* INC # I4: 8 # G6: 1,5 => UNS
* INC # I4: 8 # A6: 1,5 => UNS
* INC # I4: 8 # B6: 1,5 => UNS
* DIS # I4: 8 # C6: 1,5 => CTR => C6: 3,7,8,9
* INC # I4: 8 + C6: 3,7,8,9 # F6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # H1: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # H9: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # G5: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # G6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # A6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # B6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # F6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # H1: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # H9: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # G5: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # G6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # A6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # B6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # F6: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # H1: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 # H9: 1,5 => UNS
* INC # I4: 8 + C6: 3,7,8,9 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

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

* INC # I2: 8 # G1: 1,2 => UNS
* INC # I2: 8 # H1: 1,2 => UNS
* INC # I2: 8 # G2: 1,2 => UNS
* INC # I2: 8 # C2: 1,2 => UNS
* INC # I2: 8 # F2: 1,2 => UNS
* INC # I2: 8 # H9: 1,2 => UNS
* INC # I2: 8 # H9: 5 => UNS
* INC # I2: 8 # G5: 1,5 => UNS
* INC # I2: 8 # G6: 1,5 => UNS
* INC # I2: 8 # B4: 1,5 => UNS
* INC # I2: 8 # C4: 1,5 => UNS
* INC # I2: 8 # I3: 1,5 => UNS
* INC # I2: 8 # I8: 1,5 => UNS
* INC # I2: 8 => UNS
* INC # H2: 8 # G5: 1,5 => UNS
* INC # H2: 8 # G6: 1,5 => UNS
* INC # H2: 8 # A6: 1,5 => UNS
* INC # H2: 8 # B6: 1,5 => UNS
* DIS # H2: 8 # C6: 1,5 => CTR => C6: 3,7,8,9
* INC # H2: 8 + C6: 3,7,8,9 # F6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # H1: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # H9: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # G5: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # G6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # A6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # B6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # F6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # H1: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # H9: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # G5: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # G6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # A6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # B6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # F6: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # H1: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 # H9: 1,5 => UNS
* INC # H2: 8 + C6: 3,7,8,9 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for G1,G2: 3..:

* INC # G2: 3 # C1: 1,2 => UNS
* INC # G2: 3 # A3: 1,2 => UNS
* INC # G2: 3 # B3: 1,2 => UNS
* INC # G2: 3 # F2: 1,2 => UNS
* INC # G2: 3 # H2: 1,2 => UNS
* INC # G2: 3 # C4: 1,2 => UNS
* INC # G2: 3 # C5: 1,2 => UNS
* INC # G2: 3 # C8: 1,2 => UNS
* INC # G2: 3 # G9: 1,5 => UNS
* INC # G2: 3 # H9: 1,5 => UNS
* INC # G2: 3 # A8: 1,5 => UNS
* INC # G2: 3 # C8: 1,5 => UNS
* INC # G2: 3 # I1: 1,5 => UNS
* INC # G2: 3 # I3: 1,5 => UNS
* INC # G2: 3 # I4: 1,5 => UNS
* INC # G2: 3 => UNS
* INC # G1: 3 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for C6,G6: 7..:

* INC # C6: 7 # I4: 1,5 => UNS
* INC # C6: 7 # H6: 1,5 => UNS
* INC # C6: 7 # A6: 1,5 => UNS
* INC # C6: 7 # B6: 1,5 => UNS
* INC # C6: 7 # F6: 1,5 => UNS
* INC # C6: 7 # G1: 1,5 => UNS
* INC # C6: 7 # G9: 1,5 => UNS
* INC # C6: 7 => UNS
* INC # G6: 7 # I4: 1,5 => UNS
* INC # G6: 7 # H6: 1,5 => UNS
* INC # G6: 7 # A5: 1,5 => UNS
* INC # G6: 7 # F5: 1,5 => UNS
* INC # G6: 7 # G1: 1,5 => UNS
* INC # G6: 7 # G9: 1,5 => UNS
* INC # G6: 7 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for C5,G5: 7..:

* INC # C5: 7 # I4: 1,5 => UNS
* INC # C5: 7 # H6: 1,5 => UNS
* INC # C5: 7 # A5: 1,5 => UNS
* INC # C5: 7 # F5: 1,5 => UNS
* INC # C5: 7 # G1: 1,5 => UNS
* INC # C5: 7 # G9: 1,5 => UNS
* INC # C5: 7 => UNS
* INC # G5: 7 # I4: 1,5 => UNS
* INC # G5: 7 # H6: 1,5 => UNS
* INC # G5: 7 # A6: 1,5 => UNS
* INC # G5: 7 # B6: 1,5 => UNS
* INC # G5: 7 # F6: 1,5 => UNS
* INC # G5: 7 # G1: 1,5 => UNS
* INC # G5: 7 # G9: 1,5 => UNS
* INC # G5: 7 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for G5,G6: 7..:

* INC # G5: 7 # I4: 1,5 => UNS
* INC # G5: 7 # H6: 1,5 => UNS
* INC # G5: 7 # A6: 1,5 => UNS
* INC # G5: 7 # B6: 1,5 => UNS
* INC # G5: 7 # F6: 1,5 => UNS
* INC # G5: 7 # G1: 1,5 => UNS
* INC # G5: 7 # G9: 1,5 => UNS
* INC # G5: 7 => UNS
* INC # G6: 7 # I4: 1,5 => UNS
* INC # G6: 7 # H6: 1,5 => UNS
* INC # G6: 7 # A5: 1,5 => UNS
* INC # G6: 7 # F5: 1,5 => UNS
* INC # G6: 7 # G1: 1,5 => UNS
* INC # G6: 7 # G9: 1,5 => UNS
* INC # G6: 7 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for C5,C6: 7..:

* INC # C5: 7 # I4: 1,5 => UNS
* INC # C5: 7 # H6: 1,5 => UNS
* INC # C5: 7 # A5: 1,5 => UNS
* INC # C5: 7 # F5: 1,5 => UNS
* INC # C5: 7 # G1: 1,5 => UNS
* INC # C5: 7 # G9: 1,5 => UNS
* INC # C5: 7 => UNS
* INC # C6: 7 # I4: 1,5 => UNS
* INC # C6: 7 # H6: 1,5 => UNS
* INC # C6: 7 # A6: 1,5 => UNS
* INC # C6: 7 # B6: 1,5 => UNS
* INC # C6: 7 # F6: 1,5 => UNS
* INC # C6: 7 # G1: 1,5 => UNS
* INC # C6: 7 # G9: 1,5 => UNS
* INC # C6: 7 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for A9,D9: 8..:

* INC # A9: 8 => UNS
* INC # D9: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C7,E7: 8..:

* INC # C7: 8 => UNS
* INC # E7: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E7,D9: 8..:

* INC # E7: 8 => UNS
* INC # D9: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C7,A9: 8..:

* INC # C7: 8 => UNS
* INC # A9: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for D2,D9: 4..:

* INC # D2: 4 => UNS
* INC # D9: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for D9,F9: 4..:

* INC # D9: 4 => UNS
* INC # F9: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for F1,I1: 4..:

* INC # F1: 4 # G1: 1,5 => UNS
* INC # F1: 4 # H1: 1,5 => UNS
* INC # F1: 4 # I3: 1,5 => UNS
* INC # F1: 4 # C1: 1,5 => UNS
* INC # F1: 4 # C1: 2,3 => UNS
* INC # F1: 4 # I8: 1,5 => UNS
* INC # F1: 4 # I8: 9 => UNS
* INC # F1: 4 # A5: 1,5 => UNS
* INC # F1: 4 # F5: 1,5 => UNS
* INC # F1: 4 # G1: 1,5 => UNS
* INC # F1: 4 # G9: 1,5 => UNS
* INC # F1: 4 # A6: 1,5 => UNS
* INC # F1: 4 # F6: 1,5 => UNS
* INC # F1: 4 # H1: 1,5 => UNS
* INC # F1: 4 # H9: 1,5 => UNS
* INC # F1: 4 # G1: 1,5 # A3: 1,2 => UNS
* DIS # F1: 4 # G1: 1,5 # B3: 1,2 => CTR => B3: 5
* INC # F1: 4 # G1: 1,5 + B3: 5 # F2: 1,2 => UNS
* DIS # F1: 4 # G1: 1,5 + B3: 5 # F2: 9 => CTR => F2: 1,2
* INC # F1: 4 # G1: 1,5 + B3: 5 + F2: 1,2 # C4: 1,2 => UNS
* DIS # F1: 4 # G1: 1,5 + B3: 5 + F2: 1,2 # C8: 1,2 => CTR => C8: 5,9
* INC # F1: 4 # G1: 1,5 + B3: 5 + F2: 1,2 + C8: 5,9 # C4: 1,2 => UNS
* DIS # F1: 4 # G1: 1,5 + B3: 5 + F2: 1,2 + C8: 5,9 # C4: 5 => CTR => C4: 1,2
* DIS # F1: 4 # G1: 1,5 + B3: 5 + F2: 1,2 + C8: 5,9 + C4: 1,2 # E3: 2,3 => CTR => E3: 1
* DIS # F1: 4 # G1: 1,5 + B3: 5 + F2: 1,2 + C8: 5,9 + C4: 1,2 + E3: 1 => CTR => G1: 2,3
* INC # F1: 4 + G1: 2,3 # G2: 2,3 => UNS
* INC # F1: 4 + G1: 2,3 # G2: 1,9 => UNS
* INC # F1: 4 + G1: 2,3 # C1: 2,3 => UNS
* INC # F1: 4 + G1: 2,3 # C1: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 # H1: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 # I3: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 # C1: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 # C1: 2,3 => UNS
* INC # F1: 4 + G1: 2,3 # I8: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 # I8: 9 => UNS
* INC # F1: 4 + G1: 2,3 # A5: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 # F5: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 # G9: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 # G9: 2,9 => UNS
* INC # F1: 4 + G1: 2,3 # A6: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 # F6: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 # H1: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 # H9: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 # H1: 1,5 # C2: 2,3 => UNS
* DIS # F1: 4 + G1: 2,3 # H1: 1,5 # A3: 2,3 => CTR => A3: 1,5
* DIS # F1: 4 + G1: 2,3 # H1: 1,5 + A3: 1,5 # B3: 2,3 => CTR => B3: 1,5
* DIS # F1: 4 + G1: 2,3 # H1: 1,5 + A3: 1,5 + B3: 1,5 # D4: 2,3 => CTR => D4: 5
* DIS # F1: 4 + G1: 2,3 # H1: 1,5 + A3: 1,5 + B3: 1,5 + D4: 5 => CTR => H1: 2
* INC # F1: 4 + G1: 2,3 + H1: 2 # A3: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 + H1: 2 # B3: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 + H1: 2 # C4: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 + H1: 2 # C8: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 + H1: 2 # I3: 1,5 => UNS
* DIS # F1: 4 + G1: 2,3 + H1: 2 # I3: 9 => CTR => I3: 1,5
* INC # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 # A5: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 # F5: 1,5 => UNS
* INC # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 # G9: 1,5 => UNS
* DIS # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 # G9: 2 => CTR => G9: 1,5
* INC # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 + G9: 1,5 # A5: 1,5 => UNS
* DIS # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 + G9: 1,5 # F5: 1,5 => CTR => F5: 2
* DIS # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 + G9: 1,5 + F5: 2 # A6: 1,5 => CTR => A6: 3
* DIS # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 + G9: 1,5 + F5: 2 + A6: 3 # B3: 1,5 => CTR => B3: 3
* DIS # F1: 4 + G1: 2,3 + H1: 2 + I3: 1,5 + G9: 1,5 + F5: 2 + A6: 3 + B3: 3 => CTR => F1: 1,2,3
* INC F1: 1,2,3 # I1: 4 => UNS
* STA F1: 1,2,3
* CNT  64 HDP CHAINS /  64 HYP OPENED