Analysis of xx-ph-01091780-13_09-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.76....7....9.....65......6..574...4.3.......7..695...8..56......2...4.......15 initial

Autosolve

position: 98.76....7....9.....65......6..574...4.3.......7..695...8..56......2...4.......15 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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000013

List of important HDP chains detected for B2,B8: 5..:

* DIS # B8: 5 # A8: 1,3 => CTR => A8: 6
* CNT   1 HDP CHAINS /  24 HYP OPENED

List of important HDP chains detected for C1,G1: 5..:

* DIS # C1: 5 # A8: 1,3 => CTR => A8: 6
* CNT   1 HDP CHAINS /  22 HYP OPENED

List of important HDP chains detected for G1,G2: 5..:

* DIS # G2: 5 # A8: 1,3 => CTR => A8: 6
* CNT   1 HDP CHAINS /  22 HYP OPENED

List of important HDP chains detected for I2,I5: 6..:

* DIS # I5: 6 # H7: 7,9 => CTR => H7: 2,3
* CNT   1 HDP CHAINS /  23 HYP OPENED

List of important HDP chains detected for H2,H5: 6..:

* DIS # H2: 6 # H7: 7,9 => CTR => H7: 2,3
* CNT   1 HDP CHAINS /  23 HYP OPENED

List of important HDP chains detected for H5,I5: 6..:

* DIS # I5: 6 # H7: 7,9 => CTR => H7: 2,3
* CNT   1 HDP CHAINS /  23 HYP OPENED

List of important HDP chains detected for H2,I2: 6..:

* DIS # H2: 6 # H7: 7,9 => CTR => H7: 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: 0:00:54.060538

List of important HDP chains detected for C5,E5: 9..:

* DIS # C5: 9 # F5: 1,8 # G1: 2,3 => CTR => G1: 1,5
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 # H1: 2,3 => CTR => H1: 4
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 # H2: 2,3 => CTR => H2: 6,8
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 # I2: 2,3 => CTR => I2: 6,8
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 + I2: 6,8 # G3: 2,3 => CTR => G3: 1,7
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 + I2: 6,8 + G3: 1,7 # H3: 2,3 => CTR => H3: 7,9
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 + I2: 6,8 + G3: 1,7 + H3: 7,9 # I3: 2,3 => CTR => I3: 7,9
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 + I2: 6,8 + G3: 1,7 + H3: 7,9 + I3: 7,9 # C1: 2,3 => CTR => C1: 1
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 + I2: 6,8 + G3: 1,7 + H3: 7,9 + I3: 7,9 + C1: 1 => CTR => F5: 2
* DIS # C5: 9 + F5: 2 # C1: 1,4 => CTR => C1: 2,3,5
* DIS # C5: 9 + F5: 2 + C1: 2,3,5 # B7: 7,9 => CTR => B7: 1,2,3
* PRF # C5: 9 + F5: 2 + C1: 2,3,5 + B7: 1,2,3 # C4: 2,3 => SOL
* STA # C5: 9 + F5: 2 + C1: 2,3,5 + B7: 1,2,3 + C4: 2,3
* CNT  12 HDP CHAINS /  54 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....9.....65......6..574...4.3.......7..695...8..56......2...4.......15 initial
98.76....7....9.....65......6..574...4.3.......7..695...8..56......2...4.......15 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D6,E6: 4.. / D6 = 4  =>  2 pairs (_) / E6 = 4  =>  0 pairs (_)
G1,G2: 5.. / G1 = 5  =>  0 pairs (_) / G2 = 5  =>  3 pairs (_)
A5,C5: 5.. / A5 = 5  =>  0 pairs (_) / C5 = 5  =>  1 pairs (_)
C1,G1: 5.. / C1 = 5  =>  3 pairs (_) / G1 = 5  =>  0 pairs (_)
A5,A8: 5.. / A5 = 5  =>  0 pairs (_) / A8 = 5  =>  1 pairs (_)
B2,B8: 5.. / B2 = 5  =>  0 pairs (_) / B8 = 5  =>  3 pairs (_)
H2,I2: 6.. / H2 = 6  =>  2 pairs (_) / I2 = 6  =>  0 pairs (_)
H5,I5: 6.. / H5 = 6  =>  0 pairs (_) / I5 = 6  =>  2 pairs (_)
A8,A9: 6.. / A8 = 6  =>  0 pairs (_) / A9 = 6  =>  0 pairs (_)
D8,D9: 6.. / D8 = 6  =>  0 pairs (_) / D9 = 6  =>  0 pairs (_)
A8,D8: 6.. / A8 = 6  =>  0 pairs (_) / D8 = 6  =>  0 pairs (_)
A9,D9: 6.. / A9 = 6  =>  0 pairs (_) / D9 = 6  =>  0 pairs (_)
H2,H5: 6.. / H2 = 6  =>  2 pairs (_) / H5 = 6  =>  0 pairs (_)
I2,I5: 6.. / I2 = 6  =>  0 pairs (_) / I5 = 6  =>  2 pairs (_)
E7,E9: 7.. / E7 = 7  =>  0 pairs (_) / E9 = 7  =>  0 pairs (_)
H3,I3: 9.. / H3 = 9  =>  1 pairs (_) / I3 = 9  =>  0 pairs (_)
C4,C5: 9.. / C4 = 9  =>  0 pairs (_) / C5 = 9  =>  4 pairs (_)
D4,E5: 9.. / D4 = 9  =>  4 pairs (_) / E5 = 9  =>  0 pairs (_)
C4,D4: 9.. / C4 = 9  =>  0 pairs (_) / D4 = 9  =>  4 pairs (_)
C5,E5: 9.. / C5 = 9  =>  4 pairs (_) / E5 = 9  =>  0 pairs (_)
I3,I7: 9.. / I3 = 9  =>  0 pairs (_) / I7 = 9  =>  1 pairs (_)
* DURATION: 0:00:17.917057  START: 22:06:12.438906  END: 22:06:30.355963 2020-10-22
* CP COUNT: (21)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C5,E5: 9.. / C5 = 9 ==>  4 pairs (_) / E5 = 9 ==>  0 pairs (_)
C4,D4: 9.. / C4 = 9 ==>  0 pairs (_) / D4 = 9 ==>  4 pairs (_)
D4,E5: 9.. / D4 = 9 ==>  4 pairs (_) / E5 = 9 ==>  0 pairs (_)
C4,C5: 9.. / C4 = 9 ==>  0 pairs (_) / C5 = 9 ==>  4 pairs (_)
B2,B8: 5.. / B2 = 5 ==>  0 pairs (_) / B8 = 5 ==>  4 pairs (_)
C1,G1: 5.. / C1 = 5 ==>  4 pairs (_) / G1 = 5 ==>  0 pairs (_)
G1,G2: 5.. / G1 = 5 ==>  0 pairs (_) / G2 = 5 ==>  4 pairs (_)
I2,I5: 6.. / I2 = 6 ==>  0 pairs (_) / I5 = 6 ==>  3 pairs (_)
H2,H5: 6.. / H2 = 6 ==>  3 pairs (_) / H5 = 6 ==>  0 pairs (_)
H5,I5: 6.. / H5 = 6 ==>  0 pairs (_) / I5 = 6 ==>  3 pairs (_)
H2,I2: 6.. / H2 = 6 ==>  3 pairs (_) / I2 = 6 ==>  0 pairs (_)
D6,E6: 4.. / D6 = 4 ==>  2 pairs (_) / E6 = 4 ==>  0 pairs (_)
I3,I7: 9.. / I3 = 9 ==>  0 pairs (_) / I7 = 9 ==>  1 pairs (_)
H3,I3: 9.. / H3 = 9 ==>  1 pairs (_) / I3 = 9 ==>  0 pairs (_)
A5,A8: 5.. / A5 = 5 ==>  0 pairs (_) / A8 = 5 ==>  1 pairs (_)
A5,C5: 5.. / A5 = 5 ==>  0 pairs (_) / C5 = 5 ==>  1 pairs (_)
E7,E9: 7.. / E7 = 7 ==>  0 pairs (_) / E9 = 7 ==>  0 pairs (_)
A9,D9: 6.. / A9 = 6 ==>  0 pairs (_) / D9 = 6 ==>  0 pairs (_)
A8,D8: 6.. / A8 = 6 ==>  0 pairs (_) / D8 = 6 ==>  0 pairs (_)
D8,D9: 6.. / D8 = 6 ==>  0 pairs (_) / D9 = 6 ==>  0 pairs (_)
A8,A9: 6.. / A8 = 6 ==>  0 pairs (_) / A9 = 6 ==>  0 pairs (_)
* DURATION: 0:02:55.871063  START: 22:06:30.356843  END: 22:09:26.227906 2020-10-22
* REASONING B2,B8: 5..
* DIS # B8: 5 # A8: 1,3 => CTR => A8: 6
* CNT   1 HDP CHAINS /  24 HYP OPENED
* REASONING C1,G1: 5..
* DIS # C1: 5 # A8: 1,3 => CTR => A8: 6
* CNT   1 HDP CHAINS /  22 HYP OPENED
* REASONING G1,G2: 5..
* DIS # G2: 5 # A8: 1,3 => CTR => A8: 6
* CNT   1 HDP CHAINS /  22 HYP OPENED
* REASONING I2,I5: 6..
* DIS # I5: 6 # H7: 7,9 => CTR => H7: 2,3
* CNT   1 HDP CHAINS /  23 HYP OPENED
* REASONING H2,H5: 6..
* DIS # H2: 6 # H7: 7,9 => CTR => H7: 2,3
* CNT   1 HDP CHAINS /  23 HYP OPENED
* REASONING H5,I5: 6..
* DIS # I5: 6 # H7: 7,9 => CTR => H7: 2,3
* CNT   1 HDP CHAINS /  23 HYP OPENED
* REASONING H2,I2: 6..
* DIS # H2: 6 # H7: 7,9 => CTR => H7: 2,3
* CNT   1 HDP CHAINS /  23 HYP OPENED
* DCP COUNT: (21)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
C5,E5: 9.. / C5 = 9 ==>  0 pairs (*) / E5 = 9  =>  0 pairs (X)
* DURATION: 0:00:54.056599  START: 22:09:26.477031  END: 22:10:20.533630 2020-10-22
* REASONING C5,E5: 9..
* DIS # C5: 9 # F5: 1,8 # G1: 2,3 => CTR => G1: 1,5
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 # H1: 2,3 => CTR => H1: 4
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 # H2: 2,3 => CTR => H2: 6,8
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 # I2: 2,3 => CTR => I2: 6,8
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 + I2: 6,8 # G3: 2,3 => CTR => G3: 1,7
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 + I2: 6,8 + G3: 1,7 # H3: 2,3 => CTR => H3: 7,9
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 + I2: 6,8 + G3: 1,7 + H3: 7,9 # I3: 2,3 => CTR => I3: 7,9
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 + I2: 6,8 + G3: 1,7 + H3: 7,9 + I3: 7,9 # C1: 2,3 => CTR => C1: 1
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 + I2: 6,8 + G3: 1,7 + H3: 7,9 + I3: 7,9 + C1: 1 => CTR => F5: 2
* DIS # C5: 9 + F5: 2 # C1: 1,4 => CTR => C1: 2,3,5
* DIS # C5: 9 + F5: 2 + C1: 2,3,5 # B7: 7,9 => CTR => B7: 1,2,3
* PRF # C5: 9 + F5: 2 + C1: 2,3,5 + B7: 1,2,3 # C4: 2,3 => SOL
* STA # C5: 9 + F5: 2 + C1: 2,3,5 + B7: 1,2,3 + C4: 2,3
* CNT  12 HDP CHAINS /  54 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1091780;13_09;GP;25;11.40;11.40;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C5,E5: 9..:

* INC # C5: 9 # F5: 1,8 => UNS
* INC # C5: 9 # D6: 1,8 => UNS
* INC # C5: 9 # E6: 1,8 => UNS
* INC # C5: 9 # G5: 1,8 => UNS
* INC # C5: 9 # I5: 1,8 => UNS
* INC # C5: 9 # E2: 1,8 => UNS
* INC # C5: 9 # E3: 1,8 => UNS
* INC # C5: 9 # A7: 1,4 => UNS
* INC # C5: 9 # A7: 2,3 => UNS
* INC # C5: 9 # D2: 1,4 => UNS
* INC # C5: 9 # D6: 1,4 => UNS
* INC # C5: 9 # B7: 7,9 => UNS
* INC # C5: 9 # H7: 7,9 => UNS
* INC # C5: 9 # I7: 7,9 => UNS
* INC # C5: 9 # B9: 7,9 => UNS
* INC # C5: 9 # B9: 2,3 => UNS
* INC # C5: 9 => UNS
* INC # E5: 9 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for C4,D4: 9..:

* INC # D4: 9 # F5: 1,8 => UNS
* INC # D4: 9 # D6: 1,8 => UNS
* INC # D4: 9 # E6: 1,8 => UNS
* INC # D4: 9 # G5: 1,8 => UNS
* INC # D4: 9 # I5: 1,8 => UNS
* INC # D4: 9 # E2: 1,8 => UNS
* INC # D4: 9 # E3: 1,8 => UNS
* INC # D4: 9 # A7: 1,4 => UNS
* INC # D4: 9 # A7: 2,3 => UNS
* INC # D4: 9 # D2: 1,4 => UNS
* INC # D4: 9 # D6: 1,4 => UNS
* INC # D4: 9 # B7: 7,9 => UNS
* INC # D4: 9 # H7: 7,9 => UNS
* INC # D4: 9 # I7: 7,9 => UNS
* INC # D4: 9 # B9: 7,9 => UNS
* INC # D4: 9 # B9: 2,3 => UNS
* INC # D4: 9 => UNS
* INC # C4: 9 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for D4,E5: 9..:

* INC # D4: 9 # F5: 1,8 => UNS
* INC # D4: 9 # D6: 1,8 => UNS
* INC # D4: 9 # E6: 1,8 => UNS
* INC # D4: 9 # G5: 1,8 => UNS
* INC # D4: 9 # I5: 1,8 => UNS
* INC # D4: 9 # E2: 1,8 => UNS
* INC # D4: 9 # E3: 1,8 => UNS
* INC # D4: 9 # A7: 1,4 => UNS
* INC # D4: 9 # A7: 2,3 => UNS
* INC # D4: 9 # D2: 1,4 => UNS
* INC # D4: 9 # D6: 1,4 => UNS
* INC # D4: 9 # B7: 7,9 => UNS
* INC # D4: 9 # H7: 7,9 => UNS
* INC # D4: 9 # I7: 7,9 => UNS
* INC # D4: 9 # B9: 7,9 => UNS
* INC # D4: 9 # B9: 2,3 => UNS
* INC # D4: 9 => UNS
* INC # E5: 9 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for C4,C5: 9..:

* INC # C5: 9 # F5: 1,8 => UNS
* INC # C5: 9 # D6: 1,8 => UNS
* INC # C5: 9 # E6: 1,8 => UNS
* INC # C5: 9 # G5: 1,8 => UNS
* INC # C5: 9 # I5: 1,8 => UNS
* INC # C5: 9 # E2: 1,8 => UNS
* INC # C5: 9 # E3: 1,8 => UNS
* INC # C5: 9 # A7: 1,4 => UNS
* INC # C5: 9 # A7: 2,3 => UNS
* INC # C5: 9 # D2: 1,4 => UNS
* INC # C5: 9 # D6: 1,4 => UNS
* INC # C5: 9 # B7: 7,9 => UNS
* INC # C5: 9 # H7: 7,9 => UNS
* INC # C5: 9 # I7: 7,9 => UNS
* INC # C5: 9 # B9: 7,9 => UNS
* INC # C5: 9 # B9: 2,3 => UNS
* INC # C5: 9 => UNS
* INC # C4: 9 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for B2,B8: 5..:

* INC # B8: 5 # E7: 7,9 => UNS
* INC # B8: 5 # E7: 1,3,4 => UNS
* INC # B8: 5 # A7: 1,3 => UNS
* DIS # B8: 5 # A8: 1,3 => CTR => A8: 6
* INC # B8: 5 + A8: 6 # A7: 1,3 => UNS
* INC # B8: 5 + A8: 6 # A7: 2,4 => UNS
* INC # B8: 5 + A8: 6 # F8: 1,3 => UNS
* INC # B8: 5 + A8: 6 # F8: 8 => UNS
* INC # B8: 5 + A8: 6 # C1: 1,3 => UNS
* INC # B8: 5 + A8: 6 # C2: 1,3 => UNS
* INC # B8: 5 + A8: 6 # C4: 1,3 => UNS
* INC # B8: 5 + A8: 6 # E7: 7,9 => UNS
* INC # B8: 5 + A8: 6 # E7: 1,3,4 => UNS
* INC # B8: 5 + A8: 6 # A7: 1,3 => UNS
* INC # B8: 5 + A8: 6 # A7: 2,4 => UNS
* INC # B8: 5 + A8: 6 # F8: 1,3 => UNS
* INC # B8: 5 + A8: 6 # F8: 8 => UNS
* INC # B8: 5 + A8: 6 # C1: 1,3 => UNS
* INC # B8: 5 + A8: 6 # C2: 1,3 => UNS
* INC # B8: 5 + A8: 6 # C4: 1,3 => UNS
* INC # B8: 5 + A8: 6 # E7: 7,9 => UNS
* INC # B8: 5 + A8: 6 # E7: 1,3,4 => UNS
* INC # B8: 5 + A8: 6 => UNS
* INC # B2: 5 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for C1,G1: 5..:

* INC # C1: 5 # E7: 7,9 => UNS
* INC # C1: 5 # E7: 1,3,4 => UNS
* INC # C1: 5 # A7: 1,3 => UNS
* DIS # C1: 5 # A8: 1,3 => CTR => A8: 6
* INC # C1: 5 + A8: 6 # A7: 1,3 => UNS
* INC # C1: 5 + A8: 6 # A7: 2,4 => UNS
* INC # C1: 5 + A8: 6 # F8: 1,3 => UNS
* INC # C1: 5 + A8: 6 # F8: 8 => UNS
* INC # C1: 5 + A8: 6 # C2: 1,3 => UNS
* INC # C1: 5 + A8: 6 # C4: 1,3 => UNS
* INC # C1: 5 + A8: 6 # E7: 7,9 => UNS
* INC # C1: 5 + A8: 6 # E7: 1,3,4 => UNS
* INC # C1: 5 + A8: 6 # A7: 1,3 => UNS
* INC # C1: 5 + A8: 6 # A7: 2,4 => UNS
* INC # C1: 5 + A8: 6 # F8: 1,3 => UNS
* INC # C1: 5 + A8: 6 # F8: 8 => UNS
* INC # C1: 5 + A8: 6 # C2: 1,3 => UNS
* INC # C1: 5 + A8: 6 # C4: 1,3 => UNS
* INC # C1: 5 + A8: 6 # E7: 7,9 => UNS
* INC # C1: 5 + A8: 6 # E7: 1,3,4 => UNS
* INC # C1: 5 + A8: 6 => UNS
* INC # G1: 5 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for G1,G2: 5..:

* INC # G2: 5 # E7: 7,9 => UNS
* INC # G2: 5 # E7: 1,3,4 => UNS
* INC # G2: 5 # A7: 1,3 => UNS
* DIS # G2: 5 # A8: 1,3 => CTR => A8: 6
* INC # G2: 5 + A8: 6 # A7: 1,3 => UNS
* INC # G2: 5 + A8: 6 # A7: 2,4 => UNS
* INC # G2: 5 + A8: 6 # F8: 1,3 => UNS
* INC # G2: 5 + A8: 6 # F8: 8 => UNS
* INC # G2: 5 + A8: 6 # C2: 1,3 => UNS
* INC # G2: 5 + A8: 6 # C4: 1,3 => UNS
* INC # G2: 5 + A8: 6 # E7: 7,9 => UNS
* INC # G2: 5 + A8: 6 # E7: 1,3,4 => UNS
* INC # G2: 5 + A8: 6 # A7: 1,3 => UNS
* INC # G2: 5 + A8: 6 # A7: 2,4 => UNS
* INC # G2: 5 + A8: 6 # F8: 1,3 => UNS
* INC # G2: 5 + A8: 6 # F8: 8 => UNS
* INC # G2: 5 + A8: 6 # C2: 1,3 => UNS
* INC # G2: 5 + A8: 6 # C4: 1,3 => UNS
* INC # G2: 5 + A8: 6 # E7: 7,9 => UNS
* INC # G2: 5 + A8: 6 # E7: 1,3,4 => UNS
* INC # G2: 5 + A8: 6 => UNS
* INC # G1: 5 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for I2,I5: 6..:

* INC # I5: 6 # H3: 7,9 => UNS
* INC # I5: 6 # H3: 2,3,4,8 => UNS
* DIS # I5: 6 # H7: 7,9 => CTR => H7: 2,3
* INC # I5: 6 + H7: 2,3 # H8: 7,9 => UNS
* INC # I5: 6 + H7: 2,3 # H8: 7,9 => UNS
* INC # I5: 6 + H7: 2,3 # H8: 3,8 => UNS
* INC # I5: 6 + H7: 2,3 # B7: 7,9 => UNS
* INC # I5: 6 + H7: 2,3 # E7: 7,9 => UNS
* INC # I5: 6 + H7: 2,3 # H3: 7,9 => UNS
* INC # I5: 6 + H7: 2,3 # H3: 2,3,4,8 => UNS
* INC # I5: 6 + H7: 2,3 # G9: 2,3 => UNS
* INC # I5: 6 + H7: 2,3 # G9: 7,8 => UNS
* INC # I5: 6 + H7: 2,3 # A7: 2,3 => UNS
* INC # I5: 6 + H7: 2,3 # B7: 2,3 => UNS
* INC # I5: 6 + H7: 2,3 # H1: 2,3 => UNS
* INC # I5: 6 + H7: 2,3 # H3: 2,3 => UNS
* INC # I5: 6 + H7: 2,3 # H4: 2,3 => UNS
* INC # I5: 6 + H7: 2,3 # H8: 7,9 => UNS
* INC # I5: 6 + H7: 2,3 # H8: 3,8 => UNS
* INC # I5: 6 + H7: 2,3 # B7: 7,9 => UNS
* INC # I5: 6 + H7: 2,3 # E7: 7,9 => UNS
* INC # I5: 6 + H7: 2,3 => UNS
* INC # I2: 6 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for H2,H5: 6..:

* INC # H2: 6 # H3: 7,9 => UNS
* INC # H2: 6 # H3: 2,3,4,8 => UNS
* DIS # H2: 6 # H7: 7,9 => CTR => H7: 2,3
* INC # H2: 6 + H7: 2,3 # H8: 7,9 => UNS
* INC # H2: 6 + H7: 2,3 # H8: 7,9 => UNS
* INC # H2: 6 + H7: 2,3 # H8: 3,8 => UNS
* INC # H2: 6 + H7: 2,3 # B7: 7,9 => UNS
* INC # H2: 6 + H7: 2,3 # E7: 7,9 => UNS
* INC # H2: 6 + H7: 2,3 # H3: 7,9 => UNS
* INC # H2: 6 + H7: 2,3 # H3: 2,3,4,8 => UNS
* INC # H2: 6 + H7: 2,3 # G9: 2,3 => UNS
* INC # H2: 6 + H7: 2,3 # G9: 7,8 => UNS
* INC # H2: 6 + H7: 2,3 # A7: 2,3 => UNS
* INC # H2: 6 + H7: 2,3 # B7: 2,3 => UNS
* INC # H2: 6 + H7: 2,3 # H1: 2,3 => UNS
* INC # H2: 6 + H7: 2,3 # H3: 2,3 => UNS
* INC # H2: 6 + H7: 2,3 # H4: 2,3 => UNS
* INC # H2: 6 + H7: 2,3 # H8: 7,9 => UNS
* INC # H2: 6 + H7: 2,3 # H8: 3,8 => UNS
* INC # H2: 6 + H7: 2,3 # B7: 7,9 => UNS
* INC # H2: 6 + H7: 2,3 # E7: 7,9 => UNS
* INC # H2: 6 + H7: 2,3 => UNS
* INC # H5: 6 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for H5,I5: 6..:

* INC # I5: 6 # H3: 7,9 => UNS
* INC # I5: 6 # H3: 2,3,4,8 => UNS
* DIS # I5: 6 # H7: 7,9 => CTR => H7: 2,3
* INC # I5: 6 + H7: 2,3 # H8: 7,9 => UNS
* INC # I5: 6 + H7: 2,3 # H8: 7,9 => UNS
* INC # I5: 6 + H7: 2,3 # H8: 3,8 => UNS
* INC # I5: 6 + H7: 2,3 # B7: 7,9 => UNS
* INC # I5: 6 + H7: 2,3 # E7: 7,9 => UNS
* INC # I5: 6 + H7: 2,3 # H3: 7,9 => UNS
* INC # I5: 6 + H7: 2,3 # H3: 2,3,4,8 => UNS
* INC # I5: 6 + H7: 2,3 # G9: 2,3 => UNS
* INC # I5: 6 + H7: 2,3 # G9: 7,8 => UNS
* INC # I5: 6 + H7: 2,3 # A7: 2,3 => UNS
* INC # I5: 6 + H7: 2,3 # B7: 2,3 => UNS
* INC # I5: 6 + H7: 2,3 # H1: 2,3 => UNS
* INC # I5: 6 + H7: 2,3 # H3: 2,3 => UNS
* INC # I5: 6 + H7: 2,3 # H4: 2,3 => UNS
* INC # I5: 6 + H7: 2,3 # H8: 7,9 => UNS
* INC # I5: 6 + H7: 2,3 # H8: 3,8 => UNS
* INC # I5: 6 + H7: 2,3 # B7: 7,9 => UNS
* INC # I5: 6 + H7: 2,3 # E7: 7,9 => UNS
* INC # I5: 6 + H7: 2,3 => UNS
* INC # H5: 6 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

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

* INC # H2: 6 # H3: 7,9 => UNS
* INC # H2: 6 # H3: 2,3,4,8 => UNS
* DIS # H2: 6 # H7: 7,9 => CTR => H7: 2,3
* INC # H2: 6 + H7: 2,3 # H8: 7,9 => UNS
* INC # H2: 6 + H7: 2,3 # H8: 7,9 => UNS
* INC # H2: 6 + H7: 2,3 # H8: 3,8 => UNS
* INC # H2: 6 + H7: 2,3 # B7: 7,9 => UNS
* INC # H2: 6 + H7: 2,3 # E7: 7,9 => UNS
* INC # H2: 6 + H7: 2,3 # H3: 7,9 => UNS
* INC # H2: 6 + H7: 2,3 # H3: 2,3,4,8 => UNS
* INC # H2: 6 + H7: 2,3 # G9: 2,3 => UNS
* INC # H2: 6 + H7: 2,3 # G9: 7,8 => UNS
* INC # H2: 6 + H7: 2,3 # A7: 2,3 => UNS
* INC # H2: 6 + H7: 2,3 # B7: 2,3 => UNS
* INC # H2: 6 + H7: 2,3 # H1: 2,3 => UNS
* INC # H2: 6 + H7: 2,3 # H3: 2,3 => UNS
* INC # H2: 6 + H7: 2,3 # H4: 2,3 => UNS
* INC # H2: 6 + H7: 2,3 # H8: 7,9 => UNS
* INC # H2: 6 + H7: 2,3 # H8: 3,8 => UNS
* INC # H2: 6 + H7: 2,3 # B7: 7,9 => UNS
* INC # H2: 6 + H7: 2,3 # E7: 7,9 => UNS
* INC # H2: 6 + H7: 2,3 => UNS
* INC # I2: 6 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for D6,E6: 4..:

* INC # D6: 4 # D4: 1,8 => UNS
* INC # D6: 4 # E5: 1,8 => UNS
* INC # D6: 4 # F5: 1,8 => UNS
* INC # D6: 4 # A6: 1,8 => UNS
* INC # D6: 4 # I6: 1,8 => UNS
* INC # D6: 4 # E2: 1,8 => UNS
* INC # D6: 4 # E3: 1,8 => UNS
* INC # D6: 4 # E7: 1,9 => UNS
* INC # D6: 4 # D8: 1,9 => UNS
* INC # D6: 4 # B7: 1,9 => UNS
* INC # D6: 4 # B7: 2,3,7 => UNS
* INC # D6: 4 # D4: 1,9 => UNS
* INC # D6: 4 # D4: 2,8 => UNS
* INC # D6: 4 => UNS
* INC # E6: 4 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for I3,I7: 9..:

* INC # I7: 9 # E7: 1,4 => UNS
* INC # I7: 9 # E7: 3,7 => UNS
* INC # I7: 9 # A7: 1,4 => UNS
* INC # I7: 9 # A7: 2,3 => UNS
* INC # I7: 9 # D2: 1,4 => UNS
* INC # I7: 9 # D6: 1,4 => UNS
* INC # I7: 9 => UNS
* INC # I3: 9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

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

* INC # H3: 9 # E7: 1,4 => UNS
* INC # H3: 9 # E7: 3,7 => UNS
* INC # H3: 9 # A7: 1,4 => UNS
* INC # H3: 9 # A7: 2,3 => UNS
* INC # H3: 9 # D2: 1,4 => UNS
* INC # H3: 9 # D6: 1,4 => UNS
* INC # H3: 9 => UNS
* INC # I3: 9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for A5,A8: 5..:

* INC # A8: 5 # A7: 1,3 => UNS
* INC # A8: 5 # B7: 1,3 => UNS
* INC # A8: 5 # B8: 1,3 => UNS
* INC # A8: 5 # F8: 1,3 => UNS
* INC # A8: 5 # F8: 8 => UNS
* INC # A8: 5 # C1: 1,3 => UNS
* INC # A8: 5 # C2: 1,3 => UNS
* INC # A8: 5 => UNS
* INC # A5: 5 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for A5,C5: 5..:

* INC # C5: 5 # A7: 1,3 => UNS
* INC # C5: 5 # B7: 1,3 => UNS
* INC # C5: 5 # B8: 1,3 => UNS
* INC # C5: 5 # F8: 1,3 => UNS
* INC # C5: 5 # F8: 8 => UNS
* INC # C5: 5 # C1: 1,3 => UNS
* INC # C5: 5 # C2: 1,3 => UNS
* INC # C5: 5 => UNS
* INC # A5: 5 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for E7,E9: 7..:

* INC # E7: 7 => UNS
* INC # E9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A9,D9: 6..:

* INC # A9: 6 => UNS
* INC # D9: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A8,D8: 6..:

* INC # A8: 6 => UNS
* INC # D8: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for D8,D9: 6..:

* INC # D8: 6 => UNS
* INC # D9: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A8,A9: 6..:

* INC # A8: 6 => UNS
* INC # A9: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for C5,E5: 9..:

* INC # C5: 9 # F5: 1,8 => UNS
* INC # C5: 9 # D6: 1,8 => UNS
* INC # C5: 9 # E6: 1,8 => UNS
* INC # C5: 9 # G5: 1,8 => UNS
* INC # C5: 9 # I5: 1,8 => UNS
* INC # C5: 9 # E2: 1,8 => UNS
* INC # C5: 9 # E3: 1,8 => UNS
* INC # C5: 9 # A7: 1,4 => UNS
* INC # C5: 9 # A7: 2,3 => UNS
* INC # C5: 9 # D2: 1,4 => UNS
* INC # C5: 9 # D6: 1,4 => UNS
* INC # C5: 9 # B7: 7,9 => UNS
* INC # C5: 9 # H7: 7,9 => UNS
* INC # C5: 9 # I7: 7,9 => UNS
* INC # C5: 9 # B9: 7,9 => UNS
* INC # C5: 9 # B9: 2,3 => UNS
* DIS # C5: 9 # F5: 1,8 # G1: 2,3 => CTR => G1: 1,5
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 # H1: 2,3 => CTR => H1: 4
* INC # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 # G2: 2,3 => UNS
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 # H2: 2,3 => CTR => H2: 6,8
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 # I2: 2,3 => CTR => I2: 6,8
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 + I2: 6,8 # G3: 2,3 => CTR => G3: 1,7
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 + I2: 6,8 + G3: 1,7 # H3: 2,3 => CTR => H3: 7,9
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 + I2: 6,8 + G3: 1,7 + H3: 7,9 # I3: 2,3 => CTR => I3: 7,9
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 + I2: 6,8 + G3: 1,7 + H3: 7,9 + I3: 7,9 # C1: 2,3 => CTR => C1: 1
* DIS # C5: 9 # F5: 1,8 + G1: 1,5 + H1: 4 + H2: 6,8 + I2: 6,8 + G3: 1,7 + H3: 7,9 + I3: 7,9 + C1: 1 => CTR => F5: 2
* INC # C5: 9 + F5: 2 # E2: 1,4 => UNS
* INC # C5: 9 + F5: 2 # E3: 1,4 => UNS
* INC # C5: 9 + F5: 2 # F3: 1,4 => UNS
* DIS # C5: 9 + F5: 2 # C1: 1,4 => CTR => C1: 2,3,5
* INC # C5: 9 + F5: 2 + C1: 2,3,5 # E2: 1,4 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 # E3: 1,4 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 # F3: 1,4 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 # D6: 1,8 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 # E6: 1,8 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 # G5: 1,8 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 # I5: 1,8 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 # E2: 1,8 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 # E3: 1,8 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 # A7: 1,4 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 # A7: 2,3 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 # D6: 1,4 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 # D6: 8 => UNS
* DIS # C5: 9 + F5: 2 + C1: 2,3,5 # B7: 7,9 => CTR => B7: 1,2,3
* INC # C5: 9 + F5: 2 + C1: 2,3,5 + B7: 1,2,3 # H7: 7,9 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 + B7: 1,2,3 # I7: 7,9 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 + B7: 1,2,3 # H7: 7,9 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 + B7: 1,2,3 # I7: 7,9 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 + B7: 1,2,3 # A3: 2,3 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 + B7: 1,2,3 # B3: 2,3 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 + B7: 1,2,3 # H1: 2,3 => UNS
* INC # C5: 9 + F5: 2 + C1: 2,3,5 + B7: 1,2,3 # I1: 2,3 => UNS
* PRF # C5: 9 + F5: 2 + C1: 2,3,5 + B7: 1,2,3 # C4: 2,3 => SOL
* STA # C5: 9 + F5: 2 + C1: 2,3,5 + B7: 1,2,3 + C4: 2,3
* CNT  53 HDP CHAINS /  54 HYP OPENED