Analysis of xx-ph-02236647-2018_12_25-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..75..6..9...6..9...49.........89...7.....3......76..25....8...6......29.1 initial

Autosolve

position: 98.7..6..75..6..9...6..9...49...7..6..89...7..7..3...9..769.25...98...6.....729.1 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: 0:00:00.000012

List of important HDP chains detected for A9,H9: 8..:

* DIS # H9: 8 # I3: 3,4 => CTR => I3: 2,5,7,8
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for A7,I7: 8..:

* DIS # A7: 8 # I3: 3,4 => CTR => I3: 2,5,7,8
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for I7,H9: 8..:

* DIS # H9: 8 # I3: 3,4 => CTR => I3: 2,5,7,8
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for A7,A9: 8..:

* DIS # A7: 8 # I3: 3,4 => CTR => I3: 2,5,7,8
* 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: 0:00:55.816445

List of important HDP chains detected for B5,B9: 6..:

* DIS # B5: 6 # B7: 3,4 # C1: 1,2 => CTR => C1: 3,4
* DIS # B5: 6 # B7: 3,4 + C1: 3,4 # C2: 1,2 => CTR => C2: 3,4
* DIS # B5: 6 # B7: 3,4 + C1: 3,4 + C2: 3,4 # D3: 3,4 => CTR => D3: 5
* DIS # B5: 6 # B7: 3,4 + C1: 3,4 + C2: 3,4 + D3: 5 => CTR => B7: 1
* DIS # B5: 6 + B7: 1 # B8: 3,4 # C1: 1,3 => CTR => C1: 4
* DIS # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 # D3: 1,3 => CTR => D3: 4,5
* DIS # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 + D3: 4,5 # H3: 4 => CTR => H3: 1,3
* DIS # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 + D3: 4,5 + H3: 1,3 # A5: 5 => CTR => A5: 1,3
* DIS # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 + D3: 4,5 + H3: 1,3 + A5: 1,3 # C4: 1,2 => CTR => C4: 3
* DIS # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 + D3: 4,5 + H3: 1,3 + A5: 1,3 + C4: 3 => CTR => B8: 2
* DIS # B5: 6 + B7: 1 + B8: 2 # A5: 1,2 => CTR => A5: 3,5
* DIS # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 # C9: 5 => CTR => C9: 3,4
* DIS # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 + C9: 3,4 # F8: 1 => CTR => F8: 3,4
* DIS # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 + C9: 3,4 + F8: 3,4 # I2: 3,4 => CTR => I2: 2
* DIS # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 + C9: 3,4 + F8: 3,4 + I2: 2 => CTR => B5: 1,2,3
* STA B5: 1,2,3
* CNT  15 HDP CHAINS /  65 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

98.7..6..75..6..9...6..9...49.........89...7.....3......76..25....8...6......29.1 initial
98.7..6..75..6..9...6..9...49...7..6..89...7..7..3...9..769.25...98...6.....729.1 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A8,B8: 2.. / A8 = 2  =>  2 pairs (_) / B8 = 2  =>  0 pairs (_)
F5,F6: 6.. / F5 = 6  =>  0 pairs (_) / F6 = 6  =>  0 pairs (_)
A9,B9: 6.. / A9 = 6  =>  3 pairs (_) / B9 = 6  =>  0 pairs (_)
A6,F6: 6.. / A6 = 6  =>  0 pairs (_) / F6 = 6  =>  0 pairs (_)
B5,B9: 6.. / B5 = 6  =>  3 pairs (_) / B9 = 6  =>  0 pairs (_)
G3,I3: 7.. / G3 = 7  =>  1 pairs (_) / I3 = 7  =>  1 pairs (_)
G8,I8: 7.. / G8 = 7  =>  1 pairs (_) / I8 = 7  =>  1 pairs (_)
G3,G8: 7.. / G3 = 7  =>  1 pairs (_) / G8 = 7  =>  1 pairs (_)
I3,I8: 7.. / I3 = 7  =>  1 pairs (_) / I8 = 7  =>  1 pairs (_)
F2,E3: 8.. / F2 = 8  =>  0 pairs (_) / E3 = 8  =>  0 pairs (_)
E4,F6: 8.. / E4 = 8  =>  0 pairs (_) / F6 = 8  =>  0 pairs (_)
A7,A9: 8.. / A7 = 8  =>  1 pairs (_) / A9 = 8  =>  2 pairs (_)
I7,H9: 8.. / I7 = 8  =>  2 pairs (_) / H9 = 8  =>  1 pairs (_)
A7,I7: 8.. / A7 = 8  =>  1 pairs (_) / I7 = 8  =>  2 pairs (_)
A9,H9: 8.. / A9 = 8  =>  2 pairs (_) / H9 = 8  =>  1 pairs (_)
E3,E4: 8.. / E3 = 8  =>  0 pairs (_) / E4 = 8  =>  0 pairs (_)
F2,F6: 8.. / F2 = 8  =>  0 pairs (_) / F6 = 8  =>  0 pairs (_)
* DURATION: 0:00:12.797969  START: 13:48:31.102278  END: 13:48:43.900247 2020-11-05
* CP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B5,B9: 6.. / B5 = 6 ==>  3 pairs (_) / B9 = 6 ==>  0 pairs (_)
A9,B9: 6.. / A9 = 6 ==>  3 pairs (_) / B9 = 6 ==>  0 pairs (_)
A9,H9: 8.. / A9 = 8 ==>  2 pairs (_) / H9 = 8 ==>  1 pairs (_)
A7,I7: 8.. / A7 = 8 ==>  1 pairs (_) / I7 = 8 ==>  2 pairs (_)
I7,H9: 8.. / I7 = 8 ==>  2 pairs (_) / H9 = 8 ==>  1 pairs (_)
A7,A9: 8.. / A7 = 8 ==>  1 pairs (_) / A9 = 8 ==>  2 pairs (_)
A8,B8: 2.. / A8 = 2 ==>  2 pairs (_) / B8 = 2 ==>  0 pairs (_)
I3,I8: 7.. / I3 = 7 ==>  1 pairs (_) / I8 = 7 ==>  1 pairs (_)
G3,G8: 7.. / G3 = 7 ==>  1 pairs (_) / G8 = 7 ==>  1 pairs (_)
G8,I8: 7.. / G8 = 7 ==>  1 pairs (_) / I8 = 7 ==>  1 pairs (_)
G3,I3: 7.. / G3 = 7 ==>  1 pairs (_) / I3 = 7 ==>  1 pairs (_)
F2,F6: 8.. / F2 = 8 ==>  0 pairs (_) / F6 = 8 ==>  0 pairs (_)
E3,E4: 8.. / E3 = 8 ==>  0 pairs (_) / E4 = 8 ==>  0 pairs (_)
E4,F6: 8.. / E4 = 8 ==>  0 pairs (_) / F6 = 8 ==>  0 pairs (_)
F2,E3: 8.. / F2 = 8 ==>  0 pairs (_) / E3 = 8 ==>  0 pairs (_)
A6,F6: 6.. / A6 = 6 ==>  0 pairs (_) / F6 = 6 ==>  0 pairs (_)
F5,F6: 6.. / F5 = 6 ==>  0 pairs (_) / F6 = 6 ==>  0 pairs (_)
* DURATION: 0:02:25.774411  START: 13:48:43.901040  END: 13:51:09.675451 2020-11-05
* REASONING A9,H9: 8..
* DIS # H9: 8 # I3: 3,4 => CTR => I3: 2,5,7,8
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING A7,I7: 8..
* DIS # A7: 8 # I3: 3,4 => CTR => I3: 2,5,7,8
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING I7,H9: 8..
* DIS # H9: 8 # I3: 3,4 => CTR => I3: 2,5,7,8
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING A7,A9: 8..
* DIS # A7: 8 # I3: 3,4 => CTR => I3: 2,5,7,8
* CNT   1 HDP CHAINS /  37 HYP OPENED
* DCP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
B5,B9: 6.. / B5 = 6 ==>  0 pairs (X) / B9 = 6  =>  0 pairs (_)
* DURATION: 0:00:55.814330  START: 13:51:09.887985  END: 13:52:05.702315 2020-11-05
* REASONING B5,B9: 6..
* DIS # B5: 6 # B7: 3,4 # C1: 1,2 => CTR => C1: 3,4
* DIS # B5: 6 # B7: 3,4 + C1: 3,4 # C2: 1,2 => CTR => C2: 3,4
* DIS # B5: 6 # B7: 3,4 + C1: 3,4 + C2: 3,4 # D3: 3,4 => CTR => D3: 5
* DIS # B5: 6 # B7: 3,4 + C1: 3,4 + C2: 3,4 + D3: 5 => CTR => B7: 1
* DIS # B5: 6 + B7: 1 # B8: 3,4 # C1: 1,3 => CTR => C1: 4
* DIS # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 # D3: 1,3 => CTR => D3: 4,5
* DIS # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 + D3: 4,5 # H3: 4 => CTR => H3: 1,3
* DIS # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 + D3: 4,5 + H3: 1,3 # A5: 5 => CTR => A5: 1,3
* DIS # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 + D3: 4,5 + H3: 1,3 + A5: 1,3 # C4: 1,2 => CTR => C4: 3
* DIS # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 + D3: 4,5 + H3: 1,3 + A5: 1,3 + C4: 3 => CTR => B8: 2
* DIS # B5: 6 + B7: 1 + B8: 2 # A5: 1,2 => CTR => A5: 3,5
* DIS # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 # C9: 5 => CTR => C9: 3,4
* DIS # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 + C9: 3,4 # F8: 1 => CTR => F8: 3,4
* DIS # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 + C9: 3,4 + F8: 3,4 # I2: 3,4 => CTR => I2: 2
* DIS # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 + C9: 3,4 + F8: 3,4 + I2: 2 => CTR => B5: 1,2,3
* STA B5: 1,2,3
* CNT  15 HDP CHAINS /  65 HYP OPENED
* VDCP COUNT: (1)
* CLUE FOUND

Header Info

2236647;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 B5,B9: 6..:

* INC # B5: 6 # B7: 3,4 => UNS
* INC # B5: 6 # B8: 3,4 => UNS
* INC # B5: 6 # C9: 3,4 => UNS
* INC # B5: 6 # D9: 3,4 => UNS
* INC # B5: 6 # D9: 5 => UNS
* INC # B5: 6 # B3: 3,4 => UNS
* INC # B5: 6 # B3: 1,2 => UNS
* INC # B5: 6 # B7: 3,4 => UNS
* INC # B5: 6 # F7: 3,4 => UNS
* INC # B5: 6 # I2: 3,4 => UNS
* INC # B5: 6 # I5: 3,4 => UNS
* INC # B5: 6 # B8: 3,4 => UNS
* INC # B5: 6 # F8: 3,4 => UNS
* INC # B5: 6 # G2: 3,4 => UNS
* INC # B5: 6 # G5: 3,4 => UNS
* INC # B5: 6 => UNS
* INC # B9: 6 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for A9,B9: 6..:

* INC # A9: 6 # B7: 3,4 => UNS
* INC # A9: 6 # B8: 3,4 => UNS
* INC # A9: 6 # C9: 3,4 => UNS
* INC # A9: 6 # D9: 3,4 => UNS
* INC # A9: 6 # D9: 5 => UNS
* INC # A9: 6 # B3: 3,4 => UNS
* INC # A9: 6 # B3: 1,2 => UNS
* INC # A9: 6 # B7: 3,4 => UNS
* INC # A9: 6 # F7: 3,4 => UNS
* INC # A9: 6 # I2: 3,4 => UNS
* INC # A9: 6 # I5: 3,4 => UNS
* INC # A9: 6 # B8: 3,4 => UNS
* INC # A9: 6 # F8: 3,4 => UNS
* INC # A9: 6 # G2: 3,4 => UNS
* INC # A9: 6 # G5: 3,4 => UNS
* INC # A9: 6 => UNS
* INC # B9: 6 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for A9,H9: 8..:

* INC # A9: 8 # B7: 1,3 => UNS
* INC # A9: 8 # A8: 1,3 => UNS
* INC # A9: 8 # B8: 1,3 => UNS
* INC # A9: 8 # F7: 1,3 => UNS
* INC # A9: 8 # F7: 4 => UNS
* INC # A9: 8 # A3: 1,3 => UNS
* INC # A9: 8 # A5: 1,3 => UNS
* INC # A9: 8 # G8: 3,4 => UNS
* INC # A9: 8 # I8: 3,4 => UNS
* INC # A9: 8 # C9: 3,4 => UNS
* INC # A9: 8 # D9: 3,4 => UNS
* INC # A9: 8 # H1: 3,4 => UNS
* INC # A9: 8 # H3: 3,4 => UNS
* INC # A9: 8 => UNS
* INC # H9: 8 # G8: 3,4 => UNS
* INC # H9: 8 # I8: 3,4 => UNS
* INC # H9: 8 # B7: 3,4 => UNS
* INC # H9: 8 # F7: 3,4 => UNS
* INC # H9: 8 # I1: 3,4 => UNS
* INC # H9: 8 # I2: 3,4 => UNS
* DIS # H9: 8 # I3: 3,4 => CTR => I3: 2,5,7,8
* INC # H9: 8 + I3: 2,5,7,8 # I5: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # G8: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # I8: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # B7: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # F7: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # I1: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # I2: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # I5: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # G8: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # I8: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # B7: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # F7: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # I1: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # I2: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # I5: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for A7,I7: 8..:

* INC # I7: 8 # B7: 1,3 => UNS
* INC # I7: 8 # A8: 1,3 => UNS
* INC # I7: 8 # B8: 1,3 => UNS
* INC # I7: 8 # F7: 1,3 => UNS
* INC # I7: 8 # F7: 4 => UNS
* INC # I7: 8 # A3: 1,3 => UNS
* INC # I7: 8 # A5: 1,3 => UNS
* INC # I7: 8 # G8: 3,4 => UNS
* INC # I7: 8 # I8: 3,4 => UNS
* INC # I7: 8 # C9: 3,4 => UNS
* INC # I7: 8 # D9: 3,4 => UNS
* INC # I7: 8 # H1: 3,4 => UNS
* INC # I7: 8 # H3: 3,4 => UNS
* INC # I7: 8 => UNS
* INC # A7: 8 # G8: 3,4 => UNS
* INC # A7: 8 # I8: 3,4 => UNS
* INC # A7: 8 # B7: 3,4 => UNS
* INC # A7: 8 # F7: 3,4 => UNS
* INC # A7: 8 # I1: 3,4 => UNS
* INC # A7: 8 # I2: 3,4 => UNS
* DIS # A7: 8 # I3: 3,4 => CTR => I3: 2,5,7,8
* INC # A7: 8 + I3: 2,5,7,8 # I5: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # G8: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # I8: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # B7: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # F7: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # I1: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # I2: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # I5: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # G8: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # I8: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # B7: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # F7: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # I1: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # I2: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # I5: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for I7,H9: 8..:

* INC # I7: 8 # B7: 1,3 => UNS
* INC # I7: 8 # A8: 1,3 => UNS
* INC # I7: 8 # B8: 1,3 => UNS
* INC # I7: 8 # F7: 1,3 => UNS
* INC # I7: 8 # F7: 4 => UNS
* INC # I7: 8 # A3: 1,3 => UNS
* INC # I7: 8 # A5: 1,3 => UNS
* INC # I7: 8 # G8: 3,4 => UNS
* INC # I7: 8 # I8: 3,4 => UNS
* INC # I7: 8 # C9: 3,4 => UNS
* INC # I7: 8 # D9: 3,4 => UNS
* INC # I7: 8 # H1: 3,4 => UNS
* INC # I7: 8 # H3: 3,4 => UNS
* INC # I7: 8 => UNS
* INC # H9: 8 # G8: 3,4 => UNS
* INC # H9: 8 # I8: 3,4 => UNS
* INC # H9: 8 # B7: 3,4 => UNS
* INC # H9: 8 # F7: 3,4 => UNS
* INC # H9: 8 # I1: 3,4 => UNS
* INC # H9: 8 # I2: 3,4 => UNS
* DIS # H9: 8 # I3: 3,4 => CTR => I3: 2,5,7,8
* INC # H9: 8 + I3: 2,5,7,8 # I5: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # G8: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # I8: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # B7: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # F7: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # I1: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # I2: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # I5: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # G8: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # I8: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # B7: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # F7: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # I1: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # I2: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 # I5: 3,4 => UNS
* INC # H9: 8 + I3: 2,5,7,8 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for A7,A9: 8..:

* INC # A9: 8 # B7: 1,3 => UNS
* INC # A9: 8 # A8: 1,3 => UNS
* INC # A9: 8 # B8: 1,3 => UNS
* INC # A9: 8 # F7: 1,3 => UNS
* INC # A9: 8 # F7: 4 => UNS
* INC # A9: 8 # A3: 1,3 => UNS
* INC # A9: 8 # A5: 1,3 => UNS
* INC # A9: 8 # G8: 3,4 => UNS
* INC # A9: 8 # I8: 3,4 => UNS
* INC # A9: 8 # C9: 3,4 => UNS
* INC # A9: 8 # D9: 3,4 => UNS
* INC # A9: 8 # H1: 3,4 => UNS
* INC # A9: 8 # H3: 3,4 => UNS
* INC # A9: 8 => UNS
* INC # A7: 8 # G8: 3,4 => UNS
* INC # A7: 8 # I8: 3,4 => UNS
* INC # A7: 8 # B7: 3,4 => UNS
* INC # A7: 8 # F7: 3,4 => UNS
* INC # A7: 8 # I1: 3,4 => UNS
* INC # A7: 8 # I2: 3,4 => UNS
* DIS # A7: 8 # I3: 3,4 => CTR => I3: 2,5,7,8
* INC # A7: 8 + I3: 2,5,7,8 # I5: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # G8: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # I8: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # B7: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # F7: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # I1: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # I2: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # I5: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # G8: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # I8: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # B7: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # F7: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # I1: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # I2: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 # I5: 3,4 => UNS
* INC # A7: 8 + I3: 2,5,7,8 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for A8,B8: 2..:

* INC # A8: 2 # C1: 1,3 => UNS
* INC # A8: 2 # C2: 1,3 => UNS
* INC # A8: 2 # B3: 1,3 => UNS
* INC # A8: 2 # D3: 1,3 => UNS
* INC # A8: 2 # G3: 1,3 => UNS
* INC # A8: 2 # H3: 1,3 => UNS
* INC # A8: 2 # A5: 1,3 => UNS
* INC # A8: 2 # A7: 1,3 => UNS
* INC # A8: 2 # F7: 3,4 => UNS
* INC # A8: 2 # F8: 3,4 => UNS
* INC # A8: 2 # B9: 3,4 => UNS
* INC # A8: 2 # C9: 3,4 => UNS
* INC # A8: 2 # H9: 3,4 => UNS
* INC # A8: 2 # D2: 3,4 => UNS
* INC # A8: 2 # D3: 3,4 => UNS
* INC # A8: 2 => UNS
* INC # B8: 2 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for I3,I8: 7..:

* INC # I3: 7 # I7: 3,4 => UNS
* INC # I3: 7 # H9: 3,4 => UNS
* INC # I3: 7 # B8: 3,4 => UNS
* INC # I3: 7 # F8: 3,4 => UNS
* INC # I3: 7 # I1: 3,4 => UNS
* INC # I3: 7 # I2: 3,4 => UNS
* INC # I3: 7 # I5: 3,4 => UNS
* INC # I3: 7 => UNS
* INC # I8: 7 # I7: 3,4 => UNS
* INC # I8: 7 # H9: 3,4 => UNS
* INC # I8: 7 # B8: 3,4 => UNS
* INC # I8: 7 # F8: 3,4 => UNS
* INC # I8: 7 # G2: 3,4 => UNS
* INC # I8: 7 # G5: 3,4 => UNS
* INC # I8: 7 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for G3,G8: 7..:

* INC # G3: 7 # I7: 3,4 => UNS
* INC # G3: 7 # H9: 3,4 => UNS
* INC # G3: 7 # B8: 3,4 => UNS
* INC # G3: 7 # F8: 3,4 => UNS
* INC # G3: 7 # G2: 3,4 => UNS
* INC # G3: 7 # G5: 3,4 => UNS
* INC # G3: 7 => UNS
* INC # G8: 7 # I7: 3,4 => UNS
* INC # G8: 7 # H9: 3,4 => UNS
* INC # G8: 7 # B8: 3,4 => UNS
* INC # G8: 7 # F8: 3,4 => UNS
* INC # G8: 7 # I1: 3,4 => UNS
* INC # G8: 7 # I2: 3,4 => UNS
* INC # G8: 7 # I5: 3,4 => UNS
* INC # G8: 7 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for G8,I8: 7..:

* INC # G8: 7 # I7: 3,4 => UNS
* INC # G8: 7 # H9: 3,4 => UNS
* INC # G8: 7 # B8: 3,4 => UNS
* INC # G8: 7 # F8: 3,4 => UNS
* INC # G8: 7 # I1: 3,4 => UNS
* INC # G8: 7 # I2: 3,4 => UNS
* INC # G8: 7 # I5: 3,4 => UNS
* INC # G8: 7 => UNS
* INC # I8: 7 # I7: 3,4 => UNS
* INC # I8: 7 # H9: 3,4 => UNS
* INC # I8: 7 # B8: 3,4 => UNS
* INC # I8: 7 # F8: 3,4 => UNS
* INC # I8: 7 # G2: 3,4 => UNS
* INC # I8: 7 # G5: 3,4 => UNS
* INC # I8: 7 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for G3,I3: 7..:

* INC # G3: 7 # I7: 3,4 => UNS
* INC # G3: 7 # H9: 3,4 => UNS
* INC # G3: 7 # B8: 3,4 => UNS
* INC # G3: 7 # F8: 3,4 => UNS
* INC # G3: 7 # G2: 3,4 => UNS
* INC # G3: 7 # G5: 3,4 => UNS
* INC # G3: 7 => UNS
* INC # I3: 7 # I7: 3,4 => UNS
* INC # I3: 7 # H9: 3,4 => UNS
* INC # I3: 7 # B8: 3,4 => UNS
* INC # I3: 7 # F8: 3,4 => UNS
* INC # I3: 7 # I1: 3,4 => UNS
* INC # I3: 7 # I2: 3,4 => UNS
* INC # I3: 7 # I5: 3,4 => UNS
* INC # I3: 7 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for F2,F6: 8..:

* INC # F2: 8 => UNS
* INC # F6: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E3,E4: 8..:

* INC # E3: 8 => UNS
* INC # E4: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E4,F6: 8..:

* INC # E4: 8 => UNS
* INC # F6: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F2,E3: 8..:

* INC # F2: 8 => UNS
* INC # E3: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A6,F6: 6..:

* INC # A6: 6 => UNS
* INC # F6: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F5,F6: 6..:

* INC # F5: 6 => UNS
* INC # F6: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for B5,B9: 6..:

* INC # B5: 6 # B7: 3,4 => UNS
* INC # B5: 6 # B8: 3,4 => UNS
* INC # B5: 6 # C9: 3,4 => UNS
* INC # B5: 6 # D9: 3,4 => UNS
* INC # B5: 6 # D9: 5 => UNS
* INC # B5: 6 # B3: 3,4 => UNS
* INC # B5: 6 # B3: 1,2 => UNS
* INC # B5: 6 # B7: 3,4 => UNS
* INC # B5: 6 # F7: 3,4 => UNS
* INC # B5: 6 # I2: 3,4 => UNS
* INC # B5: 6 # I5: 3,4 => UNS
* INC # B5: 6 # B8: 3,4 => UNS
* INC # B5: 6 # F8: 3,4 => UNS
* INC # B5: 6 # G2: 3,4 => UNS
* INC # B5: 6 # G5: 3,4 => UNS
* DIS # B5: 6 # B7: 3,4 # C1: 1,2 => CTR => C1: 3,4
* DIS # B5: 6 # B7: 3,4 + C1: 3,4 # C2: 1,2 => CTR => C2: 3,4
* DIS # B5: 6 # B7: 3,4 + C1: 3,4 + C2: 3,4 # D3: 3,4 => CTR => D3: 5
* DIS # B5: 6 # B7: 3,4 + C1: 3,4 + C2: 3,4 + D3: 5 => CTR => B7: 1
* INC # B5: 6 + B7: 1 # B8: 3,4 => UNS
* INC # B5: 6 + B7: 1 # C9: 3,4 => UNS
* INC # B5: 6 + B7: 1 # D9: 3,4 => UNS
* INC # B5: 6 + B7: 1 # D9: 5 => UNS
* INC # B5: 6 + B7: 1 # B3: 3,4 => UNS
* INC # B5: 6 + B7: 1 # B3: 2 => UNS
* INC # B5: 6 + B7: 1 # F8: 3,4 => UNS
* INC # B5: 6 + B7: 1 # D9: 3,4 => UNS
* INC # B5: 6 + B7: 1 # F1: 3,4 => UNS
* INC # B5: 6 + B7: 1 # F1: 1 => UNS
* INC # B5: 6 + B7: 1 # I2: 3,4 => UNS
* INC # B5: 6 + B7: 1 # I5: 3,4 => UNS
* INC # B5: 6 + B7: 1 # B8: 3,4 => UNS
* INC # B5: 6 + B7: 1 # F8: 3,4 => UNS
* INC # B5: 6 + B7: 1 # G2: 3,4 => UNS
* INC # B5: 6 + B7: 1 # G5: 3,4 => UNS
* DIS # B5: 6 + B7: 1 # B8: 3,4 # C1: 1,3 => CTR => C1: 4
* DIS # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 # D3: 1,3 => CTR => D3: 4,5
* INC # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 + D3: 4,5 # H3: 1,3 => UNS
* INC # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 + D3: 4,5 # H3: 1,3 => UNS
* DIS # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 + D3: 4,5 # H3: 4 => CTR => H3: 1,3
* INC # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 + D3: 4,5 + H3: 1,3 # A5: 1,3 => UNS
* DIS # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 + D3: 4,5 + H3: 1,3 # A5: 5 => CTR => A5: 1,3
* DIS # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 + D3: 4,5 + H3: 1,3 + A5: 1,3 # C4: 1,2 => CTR => C4: 3
* DIS # B5: 6 + B7: 1 # B8: 3,4 + C1: 4 + D3: 4,5 + H3: 1,3 + A5: 1,3 + C4: 3 => CTR => B8: 2
* INC # B5: 6 + B7: 1 + B8: 2 # C1: 3,4 => UNS
* INC # B5: 6 + B7: 1 + B8: 2 # C2: 3,4 => UNS
* INC # B5: 6 + B7: 1 + B8: 2 # D3: 3,4 => UNS
* INC # B5: 6 + B7: 1 + B8: 2 # H3: 3,4 => UNS
* INC # B5: 6 + B7: 1 + B8: 2 # C9: 3,5 => UNS
* INC # B5: 6 + B7: 1 + B8: 2 # C9: 4 => UNS
* INC # B5: 6 + B7: 1 + B8: 2 # F8: 3,5 => UNS
* INC # B5: 6 + B7: 1 + B8: 2 # F8: 1,4 => UNS
* INC # B5: 6 + B7: 1 + B8: 2 # A5: 3,5 => UNS
* DIS # B5: 6 + B7: 1 + B8: 2 # A5: 1,2 => CTR => A5: 3,5
* INC # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 # C9: 3,5 => UNS
* INC # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 # C9: 4 => UNS
* INC # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 # F8: 3,5 => UNS
* INC # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 # F8: 1,4 => UNS
* INC # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 # C9: 3,4 => UNS
* DIS # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 # C9: 5 => CTR => C9: 3,4
* INC # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 + C9: 3,4 # F8: 3,4 => UNS
* DIS # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 + C9: 3,4 # F8: 1 => CTR => F8: 3,4
* DIS # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 + C9: 3,4 + F8: 3,4 # I2: 3,4 => CTR => I2: 2
* DIS # B5: 6 + B7: 1 + B8: 2 + A5: 3,5 + C9: 3,4 + F8: 3,4 + I2: 2 => CTR => B5: 1,2,3
* INC B5: 1,2,3 # B9: 6 => UNS
* STA B5: 1,2,3
* CNT  65 HDP CHAINS /  65 HYP OPENED