Analysis of xx-ph-02236675-2018_12_25-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.76....7.5..4.....4..39..4....6.3....9..4......4..56.9..2..6...6...3.........91 initial

Autosolve

position: 98.76....7.5.946....4..39..4....6.39...9..4....9.4..56.9..2..6...6..93...4.6...91 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: 0:00:00.000006

List of important HDP chains detected for B2,I2: 3..:

* DIS # I2: 3 # B5: 1,2 => CTR => B5: 3,5,6,7
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for C1,I1: 3..:

* DIS # C1: 3 # B5: 1,2 => CTR => B5: 3,5,6,7
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for I1,I2: 3..:

* DIS # I2: 3 # B5: 1,2 => CTR => B5: 3,5,6,7
* CNT   1 HDP CHAINS /  37 HYP OPENED

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

* DIS # C1: 3 # B5: 1,2 => CTR => B5: 3,5,6,7
* 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: 0:01:04.037522

List of important HDP chains detected for H1,H8: 4..:

* DIS # H8: 4 # H2: 1,2 # B6: 1,2 => CTR => B6: 7
* DIS # H8: 4 # H2: 1,2 + B6: 7 # D3: 1,2 => CTR => D3: 5
* DIS # H8: 4 # H2: 1,2 + B6: 7 + D3: 5 => CTR => H2: 8
* DIS # H8: 4 + H2: 8 # B6: 1,2 # D3: 1,2 => CTR => D3: 5,8
* DIS # H8: 4 + H2: 8 # B6: 1,2 + D3: 5,8 # A6: 1,2 => CTR => A6: 8
* DIS # H8: 4 + H2: 8 # B6: 1,2 + D3: 5,8 + A6: 8 # A8: 5 => CTR => A8: 1,2
* DIS # H8: 4 + H2: 8 # B6: 1,2 + D3: 5,8 + A6: 8 + A8: 1,2 # G1: 2,5 => CTR => G1: 1
* DIS # H8: 4 + H2: 8 # B6: 1,2 + D3: 5,8 + A6: 8 + A8: 1,2 + G1: 1 => CTR => B6: 7
* DIS # H8: 4 + H2: 8 + B6: 7 # H3: 1,2 => CTR => H3: 7
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 # A8: 1,2 => CTR => A8: 5,8
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 # A6: 8 => CTR => A6: 1,2
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 # G1: 5 => CTR => G1: 1,2
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 + G1: 1,2 # D3: 8 => CTR => D3: 1,2
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 + G1: 1,2 + D3: 1,2 # G4: 1,2 => CTR => G4: 7
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 + G1: 1,2 + D3: 1,2 + G4: 7 => CTR => H8: 2,7,8
* STA H8: 2,7,8
* CNT  15 HDP CHAINS /  79 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.....4..39..4....6.3....9..4......4..56.9..2..6...6...3.........91 initial
98.76....7.5.946....4..39..4....6.39...9..4....9.4..56.9..2..6...6..93...4.6...91 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C1,B2: 3.. / C1 = 3  =>  1 pairs (_) / B2 = 3  =>  2 pairs (_)
I1,I2: 3.. / I1 = 3  =>  2 pairs (_) / I2 = 3  =>  1 pairs (_)
E5,D6: 3.. / E5 = 3  =>  0 pairs (_) / D6 = 3  =>  0 pairs (_)
D7,E9: 3.. / D7 = 3  =>  0 pairs (_) / E9 = 3  =>  0 pairs (_)
C1,I1: 3.. / C1 = 3  =>  1 pairs (_) / I1 = 3  =>  2 pairs (_)
B2,I2: 3.. / B2 = 3  =>  2 pairs (_) / I2 = 3  =>  1 pairs (_)
D6,D7: 3.. / D6 = 3  =>  0 pairs (_) / D7 = 3  =>  0 pairs (_)
E5,E9: 3.. / E5 = 3  =>  0 pairs (_) / E9 = 3  =>  0 pairs (_)
H1,I1: 4.. / H1 = 4  =>  0 pairs (_) / I1 = 4  =>  3 pairs (_)
D7,D8: 4.. / D7 = 4  =>  0 pairs (_) / D8 = 4  =>  0 pairs (_)
D7,I7: 4.. / D7 = 4  =>  0 pairs (_) / I7 = 4  =>  0 pairs (_)
H1,H8: 4.. / H1 = 4  =>  0 pairs (_) / H8 = 4  =>  3 pairs (_)
A3,B3: 6.. / A3 = 6  =>  1 pairs (_) / B3 = 6  =>  1 pairs (_)
A5,B5: 6.. / A5 = 6  =>  1 pairs (_) / B5 = 6  =>  1 pairs (_)
A3,A5: 6.. / A3 = 6  =>  1 pairs (_) / A5 = 6  =>  1 pairs (_)
B3,B5: 6.. / B3 = 6  =>  1 pairs (_) / B5 = 6  =>  1 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  2 pairs (_)
* DURATION: 0:00:12.998110  START: 16:03:31.587296  END: 16:03:44.585406 2020-11-05
* CP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H1,H8: 4.. / H1 = 4 ==>  0 pairs (_) / H8 = 4 ==>  3 pairs (_)
H1,I1: 4.. / H1 = 4 ==>  0 pairs (_) / I1 = 4 ==>  3 pairs (_)
B2,I2: 3.. / B2 = 3 ==>  2 pairs (_) / I2 = 3 ==>  1 pairs (_)
C1,I1: 3.. / C1 = 3 ==>  1 pairs (_) / I1 = 3 ==>  2 pairs (_)
I1,I2: 3.. / I1 = 3 ==>  2 pairs (_) / I2 = 3 ==>  1 pairs (_)
C1,B2: 3.. / C1 = 3 ==>  1 pairs (_) / B2 = 3 ==>  2 pairs (_)
H3,I3: 7.. / H3 = 7 ==>  0 pairs (_) / I3 = 7 ==>  2 pairs (_)
B3,B5: 6.. / B3 = 6 ==>  1 pairs (_) / B5 = 6 ==>  1 pairs (_)
A3,A5: 6.. / A3 = 6 ==>  1 pairs (_) / A5 = 6 ==>  1 pairs (_)
A5,B5: 6.. / A5 = 6 ==>  1 pairs (_) / B5 = 6 ==>  1 pairs (_)
A3,B3: 6.. / A3 = 6 ==>  1 pairs (_) / B3 = 6 ==>  1 pairs (_)
D7,I7: 4.. / D7 = 4 ==>  0 pairs (_) / I7 = 4 ==>  0 pairs (_)
D7,D8: 4.. / D7 = 4 ==>  0 pairs (_) / D8 = 4 ==>  0 pairs (_)
E5,E9: 3.. / E5 = 3 ==>  0 pairs (_) / E9 = 3 ==>  0 pairs (_)
D6,D7: 3.. / D6 = 3 ==>  0 pairs (_) / D7 = 3 ==>  0 pairs (_)
D7,E9: 3.. / D7 = 3 ==>  0 pairs (_) / E9 = 3 ==>  0 pairs (_)
E5,D6: 3.. / E5 = 3 ==>  0 pairs (_) / D6 = 3 ==>  0 pairs (_)
* DURATION: 0:02:27.583899  START: 16:03:44.585916  END: 16:06:12.169815 2020-11-05
* REASONING B2,I2: 3..
* DIS # I2: 3 # B5: 1,2 => CTR => B5: 3,5,6,7
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING C1,I1: 3..
* DIS # C1: 3 # B5: 1,2 => CTR => B5: 3,5,6,7
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING I1,I2: 3..
* DIS # I2: 3 # B5: 1,2 => CTR => B5: 3,5,6,7
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING C1,B2: 3..
* DIS # C1: 3 # B5: 1,2 => CTR => B5: 3,5,6,7
* CNT   1 HDP CHAINS /  37 HYP OPENED
* DCP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
H1,H8: 4.. / H1 = 4  =>  0 pairs (_) / H8 = 4 ==>  0 pairs (X)
* DURATION: 0:01:04.032997  START: 16:06:12.357162  END: 16:07:16.390159 2020-11-05
* REASONING H1,H8: 4..
* DIS # H8: 4 # H2: 1,2 # B6: 1,2 => CTR => B6: 7
* DIS # H8: 4 # H2: 1,2 + B6: 7 # D3: 1,2 => CTR => D3: 5
* DIS # H8: 4 # H2: 1,2 + B6: 7 + D3: 5 => CTR => H2: 8
* DIS # H8: 4 + H2: 8 # B6: 1,2 # D3: 1,2 => CTR => D3: 5,8
* DIS # H8: 4 + H2: 8 # B6: 1,2 + D3: 5,8 # A6: 1,2 => CTR => A6: 8
* DIS # H8: 4 + H2: 8 # B6: 1,2 + D3: 5,8 + A6: 8 # A8: 5 => CTR => A8: 1,2
* DIS # H8: 4 + H2: 8 # B6: 1,2 + D3: 5,8 + A6: 8 + A8: 1,2 # G1: 2,5 => CTR => G1: 1
* DIS # H8: 4 + H2: 8 # B6: 1,2 + D3: 5,8 + A6: 8 + A8: 1,2 + G1: 1 => CTR => B6: 7
* DIS # H8: 4 + H2: 8 + B6: 7 # H3: 1,2 => CTR => H3: 7
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 # A8: 1,2 => CTR => A8: 5,8
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 # A6: 8 => CTR => A6: 1,2
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 # G1: 5 => CTR => G1: 1,2
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 + G1: 1,2 # D3: 8 => CTR => D3: 1,2
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 + G1: 1,2 + D3: 1,2 # G4: 1,2 => CTR => G4: 7
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 + G1: 1,2 + D3: 1,2 + G4: 7 => CTR => H8: 2,7,8
* STA H8: 2,7,8
* CNT  15 HDP CHAINS /  79 HYP OPENED
* VDCP COUNT: (1)
* CLUE FOUND

Header Info

2236675;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 H1,H8: 4..:

* INC # H8: 4 # D2: 1,2 => UNS
* INC # H8: 4 # H2: 1,2 => UNS
* INC # H8: 4 # B6: 1,2 => UNS
* INC # H8: 4 # B8: 1,2 => UNS
* INC # H8: 4 # D3: 1,2 => UNS
* INC # H8: 4 # H3: 1,2 => UNS
* INC # H8: 4 # A6: 1,2 => UNS
* INC # H8: 4 # A8: 1,2 => UNS
* INC # H8: 4 # G1: 1,2 => UNS
* INC # H8: 4 # H2: 1,2 => UNS
* INC # H8: 4 # H3: 1,2 => UNS
* INC # H8: 4 # F1: 1,2 => UNS
* INC # H8: 4 # F1: 5 => UNS
* INC # H8: 4 # H5: 1,2 => UNS
* INC # H8: 4 # H5: 7,8 => UNS
* INC # H8: 4 => UNS
* INC # H1: 4 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for H1,I1: 4..:

* INC # I1: 4 # D2: 1,2 => UNS
* INC # I1: 4 # H2: 1,2 => UNS
* INC # I1: 4 # B6: 1,2 => UNS
* INC # I1: 4 # B8: 1,2 => UNS
* INC # I1: 4 # D3: 1,2 => UNS
* INC # I1: 4 # H3: 1,2 => UNS
* INC # I1: 4 # A6: 1,2 => UNS
* INC # I1: 4 # A8: 1,2 => UNS
* INC # I1: 4 # G1: 1,2 => UNS
* INC # I1: 4 # H2: 1,2 => UNS
* INC # I1: 4 # H3: 1,2 => UNS
* INC # I1: 4 # F1: 1,2 => UNS
* INC # I1: 4 # F1: 5 => UNS
* INC # I1: 4 # H5: 1,2 => UNS
* INC # I1: 4 # H5: 7,8 => UNS
* INC # I1: 4 => UNS
* INC # H1: 4 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for B2,I2: 3..:

* INC # B2: 3 # A3: 1,2 => UNS
* INC # B2: 3 # B3: 1,2 => UNS
* INC # B2: 3 # F1: 1,2 => UNS
* INC # B2: 3 # G1: 1,2 => UNS
* INC # B2: 3 # C4: 1,2 => UNS
* INC # B2: 3 # C5: 1,2 => UNS
* INC # B2: 3 # H2: 2,8 => UNS
* INC # B2: 3 # H3: 2,8 => UNS
* INC # B2: 3 # I3: 2,8 => UNS
* INC # B2: 3 # D2: 2,8 => UNS
* INC # B2: 3 # D2: 1 => UNS
* INC # B2: 3 # I5: 2,8 => UNS
* INC # B2: 3 # I8: 2,8 => UNS
* INC # B2: 3 => UNS
* INC # I2: 3 # A3: 1,2 => UNS
* INC # I2: 3 # B3: 1,2 => UNS
* INC # I2: 3 # D2: 1,2 => UNS
* INC # I2: 3 # H2: 1,2 => UNS
* INC # I2: 3 # B4: 1,2 => UNS
* DIS # I2: 3 # B5: 1,2 => CTR => B5: 3,5,6,7
* INC # I2: 3 + B5: 3,5,6,7 # B6: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B8: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # A3: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B3: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # D2: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # H2: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B4: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B6: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B8: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # A3: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B3: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # D2: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # H2: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B4: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B6: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B8: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for C1,I1: 3..:

* INC # I1: 3 # A3: 1,2 => UNS
* INC # I1: 3 # B3: 1,2 => UNS
* INC # I1: 3 # F1: 1,2 => UNS
* INC # I1: 3 # G1: 1,2 => UNS
* INC # I1: 3 # C4: 1,2 => UNS
* INC # I1: 3 # C5: 1,2 => UNS
* INC # I1: 3 # H2: 2,8 => UNS
* INC # I1: 3 # H3: 2,8 => UNS
* INC # I1: 3 # I3: 2,8 => UNS
* INC # I1: 3 # D2: 2,8 => UNS
* INC # I1: 3 # D2: 1 => UNS
* INC # I1: 3 # I5: 2,8 => UNS
* INC # I1: 3 # I8: 2,8 => UNS
* INC # I1: 3 => UNS
* INC # C1: 3 # A3: 1,2 => UNS
* INC # C1: 3 # B3: 1,2 => UNS
* INC # C1: 3 # D2: 1,2 => UNS
* INC # C1: 3 # H2: 1,2 => UNS
* INC # C1: 3 # B4: 1,2 => UNS
* DIS # C1: 3 # B5: 1,2 => CTR => B5: 3,5,6,7
* INC # C1: 3 + B5: 3,5,6,7 # B6: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B8: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # A3: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B3: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # D2: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # H2: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B4: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B6: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B8: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # A3: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B3: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # D2: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # H2: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B4: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B6: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B8: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for I1,I2: 3..:

* INC # I1: 3 # A3: 1,2 => UNS
* INC # I1: 3 # B3: 1,2 => UNS
* INC # I1: 3 # F1: 1,2 => UNS
* INC # I1: 3 # G1: 1,2 => UNS
* INC # I1: 3 # C4: 1,2 => UNS
* INC # I1: 3 # C5: 1,2 => UNS
* INC # I1: 3 # H2: 2,8 => UNS
* INC # I1: 3 # H3: 2,8 => UNS
* INC # I1: 3 # I3: 2,8 => UNS
* INC # I1: 3 # D2: 2,8 => UNS
* INC # I1: 3 # D2: 1 => UNS
* INC # I1: 3 # I5: 2,8 => UNS
* INC # I1: 3 # I8: 2,8 => UNS
* INC # I1: 3 => UNS
* INC # I2: 3 # A3: 1,2 => UNS
* INC # I2: 3 # B3: 1,2 => UNS
* INC # I2: 3 # D2: 1,2 => UNS
* INC # I2: 3 # H2: 1,2 => UNS
* INC # I2: 3 # B4: 1,2 => UNS
* DIS # I2: 3 # B5: 1,2 => CTR => B5: 3,5,6,7
* INC # I2: 3 + B5: 3,5,6,7 # B6: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B8: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # A3: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B3: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # D2: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # H2: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B4: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B6: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B8: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # A3: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B3: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # D2: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # H2: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B4: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B6: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 # B8: 1,2 => UNS
* INC # I2: 3 + B5: 3,5,6,7 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

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

* INC # B2: 3 # A3: 1,2 => UNS
* INC # B2: 3 # B3: 1,2 => UNS
* INC # B2: 3 # F1: 1,2 => UNS
* INC # B2: 3 # G1: 1,2 => UNS
* INC # B2: 3 # C4: 1,2 => UNS
* INC # B2: 3 # C5: 1,2 => UNS
* INC # B2: 3 # H2: 2,8 => UNS
* INC # B2: 3 # H3: 2,8 => UNS
* INC # B2: 3 # I3: 2,8 => UNS
* INC # B2: 3 # D2: 2,8 => UNS
* INC # B2: 3 # D2: 1 => UNS
* INC # B2: 3 # I5: 2,8 => UNS
* INC # B2: 3 # I8: 2,8 => UNS
* INC # B2: 3 => UNS
* INC # C1: 3 # A3: 1,2 => UNS
* INC # C1: 3 # B3: 1,2 => UNS
* INC # C1: 3 # D2: 1,2 => UNS
* INC # C1: 3 # H2: 1,2 => UNS
* INC # C1: 3 # B4: 1,2 => UNS
* DIS # C1: 3 # B5: 1,2 => CTR => B5: 3,5,6,7
* INC # C1: 3 + B5: 3,5,6,7 # B6: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B8: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # A3: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B3: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # D2: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # H2: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B4: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B6: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B8: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # A3: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B3: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # D2: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # H2: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B4: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B6: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 # B8: 1,2 => UNS
* INC # C1: 3 + B5: 3,5,6,7 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

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

* INC # I3: 7 # D2: 1,2 => UNS
* INC # I3: 7 # D3: 1,2 => UNS
* INC # I3: 7 # C1: 1,2 => UNS
* INC # I3: 7 # G1: 1,2 => UNS
* INC # I3: 7 # H1: 1,2 => UNS
* INC # I3: 7 # F5: 1,2 => UNS
* INC # I3: 7 # F6: 1,2 => UNS
* INC # I3: 7 # G4: 2,8 => UNS
* INC # I3: 7 # H5: 2,8 => UNS
* INC # I3: 7 # G6: 2,8 => UNS
* INC # I3: 7 # A5: 2,8 => UNS
* INC # I3: 7 # C5: 2,8 => UNS
* INC # I3: 7 # F5: 2,8 => UNS
* INC # I3: 7 # I2: 2,8 => UNS
* INC # I3: 7 # I8: 2,8 => UNS
* INC # I3: 7 => UNS
* INC # H3: 7 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for B3,B5: 6..:

* INC # B3: 6 # C1: 1,2 => UNS
* INC # B3: 6 # B2: 1,2 => UNS
* INC # B3: 6 # D3: 1,2 => UNS
* INC # B3: 6 # H3: 1,2 => UNS
* INC # B3: 6 # A6: 1,2 => UNS
* INC # B3: 6 # A8: 1,2 => UNS
* INC # B3: 6 => UNS
* INC # B5: 6 # C1: 1,2 => UNS
* INC # B5: 6 # B2: 1,2 => UNS
* INC # B5: 6 # D3: 1,2 => UNS
* INC # B5: 6 # H3: 1,2 => UNS
* INC # B5: 6 # B4: 1,2 => UNS
* INC # B5: 6 # B6: 1,2 => UNS
* INC # B5: 6 # B8: 1,2 => UNS
* INC # B5: 6 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for A3,A5: 6..:

* INC # A3: 6 # C1: 1,2 => UNS
* INC # A3: 6 # B2: 1,2 => UNS
* INC # A3: 6 # D3: 1,2 => UNS
* INC # A3: 6 # H3: 1,2 => UNS
* INC # A3: 6 # B4: 1,2 => UNS
* INC # A3: 6 # B6: 1,2 => UNS
* INC # A3: 6 # B8: 1,2 => UNS
* INC # A3: 6 => UNS
* INC # A5: 6 # C1: 1,2 => UNS
* INC # A5: 6 # B2: 1,2 => UNS
* INC # A5: 6 # D3: 1,2 => UNS
* INC # A5: 6 # H3: 1,2 => UNS
* INC # A5: 6 # A6: 1,2 => UNS
* INC # A5: 6 # A8: 1,2 => UNS
* INC # A5: 6 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for A5,B5: 6..:

* INC # A5: 6 # C1: 1,2 => UNS
* INC # A5: 6 # B2: 1,2 => UNS
* INC # A5: 6 # D3: 1,2 => UNS
* INC # A5: 6 # H3: 1,2 => UNS
* INC # A5: 6 # A6: 1,2 => UNS
* INC # A5: 6 # A8: 1,2 => UNS
* INC # A5: 6 => UNS
* INC # B5: 6 # C1: 1,2 => UNS
* INC # B5: 6 # B2: 1,2 => UNS
* INC # B5: 6 # D3: 1,2 => UNS
* INC # B5: 6 # H3: 1,2 => UNS
* INC # B5: 6 # B4: 1,2 => UNS
* INC # B5: 6 # B6: 1,2 => UNS
* INC # B5: 6 # B8: 1,2 => UNS
* INC # B5: 6 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for A3,B3: 6..:

* INC # A3: 6 # C1: 1,2 => UNS
* INC # A3: 6 # B2: 1,2 => UNS
* INC # A3: 6 # D3: 1,2 => UNS
* INC # A3: 6 # H3: 1,2 => UNS
* INC # A3: 6 # B4: 1,2 => UNS
* INC # A3: 6 # B6: 1,2 => UNS
* INC # A3: 6 # B8: 1,2 => UNS
* INC # A3: 6 => UNS
* INC # B3: 6 # C1: 1,2 => UNS
* INC # B3: 6 # B2: 1,2 => UNS
* INC # B3: 6 # D3: 1,2 => UNS
* INC # B3: 6 # H3: 1,2 => UNS
* INC # B3: 6 # A6: 1,2 => UNS
* INC # B3: 6 # A8: 1,2 => UNS
* INC # B3: 6 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for D7,I7: 4..:

* INC # D7: 4 => UNS
* INC # I7: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for D7,D8: 4..:

* INC # D7: 4 => UNS
* INC # D8: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E5,E9: 3..:

* INC # E5: 3 => UNS
* INC # E9: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for D6,D7: 3..:

* INC # D6: 3 => UNS
* INC # D7: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for D7,E9: 3..:

* INC # D7: 3 => UNS
* INC # E9: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E5,D6: 3..:

* INC # E5: 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 H1,H8: 4..:

* INC # H8: 4 # D2: 1,2 => UNS
* INC # H8: 4 # H2: 1,2 => UNS
* INC # H8: 4 # B6: 1,2 => UNS
* INC # H8: 4 # B8: 1,2 => UNS
* INC # H8: 4 # D3: 1,2 => UNS
* INC # H8: 4 # H3: 1,2 => UNS
* INC # H8: 4 # A6: 1,2 => UNS
* INC # H8: 4 # A8: 1,2 => UNS
* INC # H8: 4 # G1: 1,2 => UNS
* INC # H8: 4 # H2: 1,2 => UNS
* INC # H8: 4 # H3: 1,2 => UNS
* INC # H8: 4 # F1: 1,2 => UNS
* INC # H8: 4 # F1: 5 => UNS
* INC # H8: 4 # H5: 1,2 => UNS
* INC # H8: 4 # H5: 7,8 => UNS
* INC # H8: 4 # D2: 1,2 # B6: 1,2 => UNS
* INC # H8: 4 # D2: 1,2 # B8: 1,2 => UNS
* INC # H8: 4 # D2: 1,2 # D3: 1,2 => UNS
* INC # H8: 4 # D2: 1,2 # H3: 1,2 => UNS
* INC # H8: 4 # D2: 1,2 # A6: 1,2 => UNS
* INC # H8: 4 # D2: 1,2 # A8: 1,2 => UNS
* INC # H8: 4 # D2: 1,2 # F1: 1,2 => UNS
* INC # H8: 4 # D2: 1,2 # D3: 1,2 => UNS
* INC # H8: 4 # D2: 1,2 # D4: 1,2 => UNS
* INC # H8: 4 # D2: 1,2 # D4: 8 => UNS
* INC # H8: 4 # D2: 1,2 # G1: 1,2 => UNS
* INC # H8: 4 # D2: 1,2 # H3: 1,2 => UNS
* INC # H8: 4 # D2: 1,2 # F1: 1,2 => UNS
* INC # H8: 4 # D2: 1,2 # F1: 5 => UNS
* INC # H8: 4 # D2: 1,2 # H5: 1,2 => UNS
* INC # H8: 4 # D2: 1,2 # H5: 7 => UNS
* INC # H8: 4 # D2: 1,2 => UNS
* DIS # H8: 4 # H2: 1,2 # B6: 1,2 => CTR => B6: 7
* DIS # H8: 4 # H2: 1,2 + B6: 7 # D3: 1,2 => CTR => D3: 5
* DIS # H8: 4 # H2: 1,2 + B6: 7 + D3: 5 => CTR => H2: 8
* INC # H8: 4 + H2: 8 # B6: 1,2 => UNS
* INC # H8: 4 + H2: 8 # B8: 1,2 => UNS
* INC # H8: 4 + H2: 8 # D3: 1,2 => UNS
* INC # H8: 4 + H2: 8 # H3: 1,2 => UNS
* INC # H8: 4 + H2: 8 # A6: 1,2 => UNS
* INC # H8: 4 + H2: 8 # A8: 1,2 => UNS
* INC # H8: 4 + H2: 8 # F1: 1,2 => UNS
* INC # H8: 4 + H2: 8 # D3: 1,2 => UNS
* INC # H8: 4 + H2: 8 # D4: 1,2 => UNS
* INC # H8: 4 + H2: 8 # D4: 8 => UNS
* INC # H8: 4 + H2: 8 # G1: 1,2 => UNS
* INC # H8: 4 + H2: 8 # H3: 1,2 => UNS
* INC # H8: 4 + H2: 8 # F1: 1,2 => UNS
* INC # H8: 4 + H2: 8 # F1: 5 => UNS
* INC # H8: 4 + H2: 8 # H5: 1,2 => UNS
* INC # H8: 4 + H2: 8 # H5: 7 => UNS
* DIS # H8: 4 + H2: 8 # B6: 1,2 # D3: 1,2 => CTR => D3: 5,8
* DIS # H8: 4 + H2: 8 # B6: 1,2 + D3: 5,8 # A6: 1,2 => CTR => A6: 8
* INC # H8: 4 + H2: 8 # B6: 1,2 + D3: 5,8 + A6: 8 # A8: 1,2 => UNS
* INC # H8: 4 + H2: 8 # B6: 1,2 + D3: 5,8 + A6: 8 # A8: 1,2 => UNS
* DIS # H8: 4 + H2: 8 # B6: 1,2 + D3: 5,8 + A6: 8 # A8: 5 => CTR => A8: 1,2
* DIS # H8: 4 + H2: 8 # B6: 1,2 + D3: 5,8 + A6: 8 + A8: 1,2 # G1: 2,5 => CTR => G1: 1
* DIS # H8: 4 + H2: 8 # B6: 1,2 + D3: 5,8 + A6: 8 + A8: 1,2 + G1: 1 => CTR => B6: 7
* INC # H8: 4 + H2: 8 + B6: 7 # D3: 1,2 => UNS
* DIS # H8: 4 + H2: 8 + B6: 7 # H3: 1,2 => CTR => H3: 7
* INC # H8: 4 + H2: 8 + B6: 7 + H3: 7 # D3: 1,2 => UNS
* INC # H8: 4 + H2: 8 + B6: 7 + H3: 7 # D3: 5,8 => UNS
* INC # H8: 4 + H2: 8 + B6: 7 + H3: 7 # A6: 1,2 => UNS
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 # A8: 1,2 => CTR => A8: 5,8
* INC # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 # A6: 1,2 => UNS
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 # A6: 8 => CTR => A6: 1,2
* INC # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 # D3: 1,2 => UNS
* INC # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 # D3: 5,8 => UNS
* INC # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 # D3: 1,2 => UNS
* INC # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 # D3: 5,8 => UNS
* INC # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 # D4: 1,2 => UNS
* INC # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 # D4: 8 => UNS
* INC # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 # G1: 1,2 => UNS
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 # G1: 5 => CTR => G1: 1,2
* INC # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 + G1: 1,2 # D3: 1,2 => UNS
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 + G1: 1,2 # D3: 8 => CTR => D3: 1,2
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 + G1: 1,2 + D3: 1,2 # G4: 1,2 => CTR => G4: 7
* DIS # H8: 4 + H2: 8 + B6: 7 + H3: 7 + A8: 5,8 + A6: 1,2 + G1: 1,2 + D3: 1,2 + G4: 7 => CTR => H8: 2,7,8
* INC H8: 2,7,8 # H1: 4 => UNS
* STA H8: 2,7,8
* CNT  79 HDP CHAINS /  79 HYP OPENED