Analysis of xx-ph-00000450-154-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: ...45....4....92...8..3......1.....73..5..9...9...2.6..7......8..6....1.9...2.3.. initial

Autosolve

position: ...45....4....92...8.23......1.....73..5..9...9...2.6..7......8..6....1.9...2.3.. autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.158653

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: 0:00:00.000014

List of important HDP chains detected for A8,C9: 8..:

* DIS # A8: 8 # B9: 4,5 => CTR => B9: 1
* DIS # A8: 8 + B9: 1 # F9: 4,5 => CTR => F9: 6,7,8
* CNT   2 HDP CHAINS /  39 HYP OPENED

List of important HDP chains detected for G7,I9: 6..:

* DIS # I9: 6 # G3: 4,5 => CTR => G3: 1,6,7
* CNT   1 HDP CHAINS /  28 HYP OPENED

List of important HDP chains detected for A7,B9: 1..:

* DIS # A7: 1 # C9: 4,5 => CTR => C9: 8
* DIS # A7: 1 + C9: 8 # F9: 4,5 => CTR => F9: 1,6,7
* CNT   2 HDP CHAINS /  31 HYP OPENED

List of important HDP chains detected for H7,I8: 9..:

* DIS # I8: 9 # E5: 4,6 => CTR => E5: 1,7,8
* CNT   1 HDP CHAINS /  50 HYP OPENED

List of important HDP chains detected for C1,C3: 9..:

* DIS # C1: 9 # C2: 5,7 => CTR => C2: 3
* DIS # C1: 9 + C2: 3 # H3: 5,7 => CTR => H3: 4,9
* DIS # C1: 9 + C2: 3 + H3: 4,9 # I3: 1,5,6 => CTR => I3: 4,9
* CNT   3 HDP CHAINS /  32 HYP OPENED

List of important HDP chains detected for D6,I6: 3..:

* DIS # D6: 3 # B4: 4,6 => CTR => B4: 2,5
* CNT   1 HDP CHAINS /  11 HYP OPENED

List of important HDP chains detected for C7,B8: 3..:

* DIS # C7: 3 # C3: 5,7 => CTR => C3: 9
* CNT   1 HDP CHAINS /  20 HYP OPENED

List of important HDP chains detected for H4,I6: 3..:

* DIS # H4: 3 # B4: 4,6 => CTR => B4: 2,5
* CNT   1 HDP CHAINS /  11 HYP OPENED

List of important HDP chains detected for I5,I8: 2..:

* DIS # I5: 2 # E5: 4,6 => CTR => E5: 1,7,8
* CNT   1 HDP CHAINS /  50 HYP OPENED

List of important HDP chains detected for H7,I8: 2..:

* DIS # H7: 2 # E5: 4,6 => CTR => E5: 1,7,8
* CNT   1 HDP CHAINS /  50 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: 0:00:38.759466

List of important HDP chains detected for A8,C9: 8..:

* DIS # A8: 8 # B9: 4,5 => CTR => B9: 1
* DIS # A8: 8 + B9: 1 # F9: 4,5 => CTR => F9: 6,7,8
* DIS # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 # B4: 2,6 => CTR => B4: 4
* DIS # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 # A3: 5,7 => CTR => A3: 1,6
* DIS # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 + A3: 1,6 # C3: 5,7 => CTR => C3: 9
* PRF # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 + A3: 1,6 + C3: 9 # I5: 2,4 => SOL
* STA # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 + A3: 1,6 + C3: 9 + I5: 2,4
* CNT   6 HDP CHAINS /  45 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

...45....4....92...8..3......1.....73..5..9...9...2.6..7......8..6....1.9...2.3.. initial
...45....4....92...8.23......1.....73..5..9...9...2.6..7......8..6....1.9...2.3.. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
H7: 2,9
I8: 2,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A7,B9: 1.. / A7 = 1  =>  3 pairs (_) / B9 = 1  =>  3 pairs (_)
H7,I8: 2.. / H7 = 2  =>  3 pairs (_) / I8 = 2  =>  2 pairs (_)
I5,I8: 2.. / I5 = 2  =>  3 pairs (_) / I8 = 2  =>  2 pairs (_)
H4,I6: 3.. / H4 = 3  =>  3 pairs (_) / I6 = 3  =>  2 pairs (_)
C7,B8: 3.. / C7 = 3  =>  3 pairs (_) / B8 = 3  =>  2 pairs (_)
D6,I6: 3.. / D6 = 3  =>  3 pairs (_) / I6 = 3  =>  2 pairs (_)
G7,I9: 6.. / G7 = 6  =>  3 pairs (_) / I9 = 6  =>  3 pairs (_)
G8,H9: 7.. / G8 = 7  =>  3 pairs (_) / H9 = 7  =>  3 pairs (_)
A8,C9: 8.. / A8 = 8  =>  4 pairs (_) / C9 = 8  =>  3 pairs (_)
C1,C3: 9.. / C1 = 9  =>  3 pairs (_) / C3 = 9  =>  2 pairs (_)
D4,E4: 9.. / D4 = 9  =>  2 pairs (_) / E4 = 9  =>  2 pairs (_)
H7,I8: 9.. / H7 = 9  =>  2 pairs (_) / I8 = 9  =>  3 pairs (_)
* DURATION: 0:00:07.717976  START: 19:36:56.027169  END: 19:37:03.745145 2020-10-25
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A8,C9: 8.. / A8 = 8 ==>  5 pairs (_) / C9 = 8 ==>  3 pairs (_)
G8,H9: 7.. / G8 = 7 ==>  3 pairs (_) / H9 = 7 ==>  3 pairs (_)
G7,I9: 6.. / G7 = 6 ==>  3 pairs (_) / I9 = 6 ==>  3 pairs (_)
A7,B9: 1.. / A7 = 1 ==>  4 pairs (_) / B9 = 1 ==>  3 pairs (_)
H7,I8: 9.. / H7 = 9 ==>  2 pairs (_) / I8 = 9 ==>  3 pairs (_)
C1,C3: 9.. / C1 = 9 ==>  5 pairs (_) / C3 = 9 ==>  2 pairs (_)
D6,I6: 3.. / D6 = 3 ==>  4 pairs (_) / I6 = 3 ==>  2 pairs (_)
C7,B8: 3.. / C7 = 3 ==>  4 pairs (_) / B8 = 3 ==>  2 pairs (_)
H4,I6: 3.. / H4 = 3 ==>  4 pairs (_) / I6 = 3 ==>  2 pairs (_)
I5,I8: 2.. / I5 = 2 ==>  3 pairs (_) / I8 = 2 ==>  2 pairs (_)
H7,I8: 2.. / H7 = 2 ==>  3 pairs (_) / I8 = 2 ==>  2 pairs (_)
D4,E4: 9.. / D4 = 9 ==>  2 pairs (_) / E4 = 9 ==>  2 pairs (_)
* DURATION: 0:02:36.677438  START: 19:37:04.416375  END: 19:39:41.093813 2020-10-25
* REASONING A8,C9: 8..
* DIS # A8: 8 # B9: 4,5 => CTR => B9: 1
* DIS # A8: 8 + B9: 1 # F9: 4,5 => CTR => F9: 6,7,8
* CNT   2 HDP CHAINS /  39 HYP OPENED
* REASONING G7,I9: 6..
* DIS # I9: 6 # G3: 4,5 => CTR => G3: 1,6,7
* CNT   1 HDP CHAINS /  28 HYP OPENED
* REASONING A7,B9: 1..
* DIS # A7: 1 # C9: 4,5 => CTR => C9: 8
* DIS # A7: 1 + C9: 8 # F9: 4,5 => CTR => F9: 1,6,7
* CNT   2 HDP CHAINS /  31 HYP OPENED
* REASONING H7,I8: 9..
* DIS # I8: 9 # E5: 4,6 => CTR => E5: 1,7,8
* CNT   1 HDP CHAINS /  50 HYP OPENED
* REASONING C1,C3: 9..
* DIS # C1: 9 # C2: 5,7 => CTR => C2: 3
* DIS # C1: 9 + C2: 3 # H3: 5,7 => CTR => H3: 4,9
* DIS # C1: 9 + C2: 3 + H3: 4,9 # I3: 1,5,6 => CTR => I3: 4,9
* CNT   3 HDP CHAINS /  32 HYP OPENED
* REASONING D6,I6: 3..
* DIS # D6: 3 # B4: 4,6 => CTR => B4: 2,5
* CNT   1 HDP CHAINS /  11 HYP OPENED
* REASONING C7,B8: 3..
* DIS # C7: 3 # C3: 5,7 => CTR => C3: 9
* CNT   1 HDP CHAINS /  20 HYP OPENED
* REASONING H4,I6: 3..
* DIS # H4: 3 # B4: 4,6 => CTR => B4: 2,5
* CNT   1 HDP CHAINS /  11 HYP OPENED
* REASONING I5,I8: 2..
* DIS # I5: 2 # E5: 4,6 => CTR => E5: 1,7,8
* CNT   1 HDP CHAINS /  50 HYP OPENED
* REASONING H7,I8: 2..
* DIS # H7: 2 # E5: 4,6 => CTR => E5: 1,7,8
* CNT   1 HDP CHAINS /  50 HYP OPENED
* DCP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
A8,C9: 8.. / A8 = 8 ==>  0 pairs (*) / C9 = 8  =>  0 pairs (X)
* DURATION: 0:00:38.756712  START: 19:39:41.235494  END: 19:40:19.992206 2020-10-25
* REASONING A8,C9: 8..
* DIS # A8: 8 # B9: 4,5 => CTR => B9: 1
* DIS # A8: 8 + B9: 1 # F9: 4,5 => CTR => F9: 6,7,8
* DIS # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 # B4: 2,6 => CTR => B4: 4
* DIS # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 # A3: 5,7 => CTR => A3: 1,6
* DIS # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 + A3: 1,6 # C3: 5,7 => CTR => C3: 9
* PRF # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 + A3: 1,6 + C3: 9 # I5: 2,4 => SOL
* STA # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 + A3: 1,6 + C3: 9 + I5: 2,4
* CNT   6 HDP CHAINS /  45 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

450;154;elev;22;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A8,C9: 8..:

* INC # A8: 8 # C6: 5,7 => UNS
* INC # A8: 8 # C6: 4,8 => UNS
* INC # A8: 8 # A3: 5,7 => UNS
* INC # A8: 8 # A3: 1,6 => UNS
* INC # A8: 8 # C7: 4,5 => UNS
* INC # A8: 8 # B8: 4,5 => UNS
* DIS # A8: 8 # B9: 4,5 => CTR => B9: 1
* DIS # A8: 8 + B9: 1 # F9: 4,5 => CTR => F9: 6,7,8
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # H9: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # I9: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 7,8 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C7: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # B8: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # H9: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # I9: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 7,8 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 4,8 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # A3: 5,7 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # A3: 1,6 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C7: 2,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # B8: 2,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # A4: 2,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # A4: 6 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C7: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # B8: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # H9: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # I9: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 7,8 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 => UNS
* INC # C9: 8 # A7: 2,5 => UNS
* INC # C9: 8 # C7: 2,5 => UNS
* INC # C9: 8 # B8: 2,5 => UNS
* INC # C9: 8 # A4: 2,5 => UNS
* INC # C9: 8 # A4: 6,8 => UNS
* INC # C9: 8 => UNS
* CNT  39 HDP CHAINS /  39 HYP OPENED

Full list of HDP chains traversed for G8,H9: 7..:

* INC # G8: 7 # G7: 4,5 => UNS
* INC # G8: 7 # I9: 4,5 => UNS
* INC # G8: 7 # B9: 4,5 => UNS
* INC # G8: 7 # C9: 4,5 => UNS
* INC # G8: 7 # F9: 4,5 => UNS
* INC # G8: 7 # H3: 4,5 => UNS
* INC # G8: 7 # H4: 4,5 => UNS
* INC # G8: 7 => UNS
* INC # H9: 7 # G7: 4,5 => UNS
* INC # H9: 7 # I9: 4,5 => UNS
* INC # H9: 7 # B8: 4,5 => UNS
* INC # H9: 7 # F8: 4,5 => UNS
* INC # H9: 7 # G3: 4,5 => UNS
* INC # H9: 7 # G4: 4,5 => UNS
* INC # H9: 7 # G6: 4,5 => UNS
* INC # H9: 7 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for G7,I9: 6..:

* INC # G7: 6 # G8: 4,5 => UNS
* INC # G7: 6 # H9: 4,5 => UNS
* INC # G7: 6 # B9: 4,5 => UNS
* INC # G7: 6 # C9: 4,5 => UNS
* INC # G7: 6 # F9: 4,5 => UNS
* INC # G7: 6 # I3: 4,5 => UNS
* INC # G7: 6 # I6: 4,5 => UNS
* INC # G7: 6 => UNS
* INC # I9: 6 # G8: 4,5 => UNS
* INC # I9: 6 # H9: 4,5 => UNS
* INC # I9: 6 # C7: 4,5 => UNS
* INC # I9: 6 # F7: 4,5 => UNS
* DIS # I9: 6 # G3: 4,5 => CTR => G3: 1,6,7
* INC # I9: 6 + G3: 1,6,7 # G4: 4,5 => UNS
* INC # I9: 6 + G3: 1,6,7 # G6: 4,5 => UNS
* INC # I9: 6 + G3: 1,6,7 # G8: 4,5 => UNS
* INC # I9: 6 + G3: 1,6,7 # H9: 4,5 => UNS
* INC # I9: 6 + G3: 1,6,7 # C7: 4,5 => UNS
* INC # I9: 6 + G3: 1,6,7 # F7: 4,5 => UNS
* INC # I9: 6 + G3: 1,6,7 # G4: 4,5 => UNS
* INC # I9: 6 + G3: 1,6,7 # G6: 4,5 => UNS
* INC # I9: 6 + G3: 1,6,7 # G8: 4,5 => UNS
* INC # I9: 6 + G3: 1,6,7 # H9: 4,5 => UNS
* INC # I9: 6 + G3: 1,6,7 # C7: 4,5 => UNS
* INC # I9: 6 + G3: 1,6,7 # F7: 4,5 => UNS
* INC # I9: 6 + G3: 1,6,7 # G4: 4,5 => UNS
* INC # I9: 6 + G3: 1,6,7 # G6: 4,5 => UNS
* INC # I9: 6 + G3: 1,6,7 => UNS
* CNT  28 HDP CHAINS /  28 HYP OPENED

Full list of HDP chains traversed for A7,B9: 1..:

* INC # A7: 1 # C7: 4,5 => UNS
* INC # A7: 1 # B8: 4,5 => UNS
* DIS # A7: 1 # C9: 4,5 => CTR => C9: 8
* DIS # A7: 1 + C9: 8 # F9: 4,5 => CTR => F9: 1,6,7
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # H9: 4,5 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # I9: 4,5 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # B4: 4,5 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # B4: 2,6 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # C7: 4,5 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # B8: 4,5 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # H9: 4,5 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # I9: 4,5 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # B4: 4,5 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # B4: 2,6 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # C7: 2,5 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # B8: 2,5 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # A4: 2,5 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # A4: 6,8 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # C7: 4,5 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # B8: 4,5 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # H9: 4,5 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # I9: 4,5 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # B4: 4,5 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 # B4: 2,6 => UNS
* INC # A7: 1 + C9: 8 + F9: 1,6,7 => UNS
* INC # B9: 1 # C7: 2,5 => UNS
* INC # B9: 1 # A8: 2,5 => UNS
* INC # B9: 1 # B8: 2,5 => UNS
* INC # B9: 1 # A4: 2,5 => UNS
* INC # B9: 1 # A4: 6,8 => UNS
* INC # B9: 1 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for H7,I8: 9..:

* INC # I8: 9 # B4: 4,6 => UNS
* INC # I8: 9 # B4: 2,5 => UNS
* DIS # I8: 9 # E5: 4,6 => CTR => E5: 1,7,8
* INC # I8: 9 + E5: 1,7,8 # F5: 4,6 => UNS
* INC # I8: 9 + E5: 1,7,8 # F5: 4,6 => UNS
* INC # I8: 9 + E5: 1,7,8 # F5: 1,7,8 => UNS
* INC # I8: 9 + E5: 1,7,8 # B4: 4,6 => UNS
* INC # I8: 9 + E5: 1,7,8 # B4: 2,5 => UNS
* INC # I8: 9 + E5: 1,7,8 # F5: 4,6 => UNS
* INC # I8: 9 + E5: 1,7,8 # F5: 1,7,8 => UNS
* INC # I8: 9 + E5: 1,7,8 # G4: 4,8 => UNS
* INC # I8: 9 + E5: 1,7,8 # H4: 4,8 => UNS
* INC # I8: 9 + E5: 1,7,8 # G6: 4,8 => UNS
* INC # I8: 9 + E5: 1,7,8 # C5: 4,8 => UNS
* INC # I8: 9 + E5: 1,7,8 # F5: 4,8 => UNS
* INC # I8: 9 + E5: 1,7,8 # B9: 1,5 => UNS
* INC # I8: 9 + E5: 1,7,8 # B9: 4 => UNS
* INC # I8: 9 + E5: 1,7,8 # F7: 1,5 => UNS
* INC # I8: 9 + E5: 1,7,8 # F7: 3,4,6 => UNS
* INC # I8: 9 + E5: 1,7,8 # A3: 1,5 => UNS
* INC # I8: 9 + E5: 1,7,8 # A3: 6,7 => UNS
* INC # I8: 9 + E5: 1,7,8 # B4: 4,6 => UNS
* INC # I8: 9 + E5: 1,7,8 # B4: 2,5 => UNS
* INC # I8: 9 + E5: 1,7,8 # F5: 4,6 => UNS
* INC # I8: 9 + E5: 1,7,8 # F5: 1,7,8 => UNS
* INC # I8: 9 + E5: 1,7,8 # G4: 4,8 => UNS
* INC # I8: 9 + E5: 1,7,8 # H4: 4,8 => UNS
* INC # I8: 9 + E5: 1,7,8 # G6: 4,8 => UNS
* INC # I8: 9 + E5: 1,7,8 # C5: 4,8 => UNS
* INC # I8: 9 + E5: 1,7,8 # F5: 4,8 => UNS
* INC # I8: 9 + E5: 1,7,8 # B9: 1,5 => UNS
* INC # I8: 9 + E5: 1,7,8 # B9: 4 => UNS
* INC # I8: 9 + E5: 1,7,8 # F7: 1,5 => UNS
* INC # I8: 9 + E5: 1,7,8 # F7: 3,4,6 => UNS
* INC # I8: 9 + E5: 1,7,8 # A3: 1,5 => UNS
* INC # I8: 9 + E5: 1,7,8 # A3: 6,7 => UNS
* INC # I8: 9 + E5: 1,7,8 => UNS
* INC # H7: 9 # G6: 1,4 => UNS
* INC # H7: 9 # I6: 1,4 => UNS
* INC # H7: 9 # E5: 1,4 => UNS
* INC # H7: 9 # F5: 1,4 => UNS
* INC # H7: 9 # I3: 1,4 => UNS
* INC # H7: 9 # I3: 5,6,9 => UNS
* INC # H7: 9 # C9: 5,8 => UNS
* INC # H7: 9 # C9: 4 => UNS
* INC # H7: 9 # F8: 5,8 => UNS
* INC # H7: 9 # F8: 3,4,7 => UNS
* INC # H7: 9 # A4: 5,8 => UNS
* INC # H7: 9 # A6: 5,8 => UNS
* INC # H7: 9 => UNS
* CNT  50 HDP CHAINS /  50 HYP OPENED

Full list of HDP chains traversed for C1,C3: 9..:

* DIS # C1: 9 # C2: 5,7 => CTR => C2: 3
* INC # C1: 9 + C2: 3 # A3: 5,7 => UNS
* INC # C1: 9 + C2: 3 # A3: 5,7 => UNS
* INC # C1: 9 + C2: 3 # A3: 1,6 => UNS
* INC # C1: 9 + C2: 3 # G3: 5,7 => UNS
* DIS # C1: 9 + C2: 3 # H3: 5,7 => CTR => H3: 4,9
* INC # C1: 9 + C2: 3 + H3: 4,9 # G3: 5,7 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 # G3: 1,4,6 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 # C6: 5,7 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 # C6: 4,8 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 # A3: 5,7 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 # A3: 1,6 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 # G3: 5,7 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 # G3: 1,4,6 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 # C6: 5,7 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 # C6: 4,8 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 # A3: 5,7 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 # A3: 1,6 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 # G3: 5,7 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 # G3: 1,4,6 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 # C6: 5,7 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 # C6: 4,8 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 # I3: 4,9 => UNS
* DIS # C1: 9 + C2: 3 + H3: 4,9 # I3: 1,5,6 => CTR => I3: 4,9
* INC # C1: 9 + C2: 3 + H3: 4,9 + I3: 4,9 # A3: 5,7 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 + I3: 4,9 # A3: 1,6 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 + I3: 4,9 # G3: 5,7 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 + I3: 4,9 # G3: 1,6 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 + I3: 4,9 # C6: 5,7 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 + I3: 4,9 # C6: 4,8 => UNS
* INC # C1: 9 + C2: 3 + H3: 4,9 + I3: 4,9 => UNS
* INC # C3: 9 => UNS
* CNT  32 HDP CHAINS /  32 HYP OPENED

Full list of HDP chains traversed for D6,I6: 3..:

* DIS # D6: 3 # B4: 4,6 => CTR => B4: 2,5
* INC # D6: 3 + B4: 2,5 # E5: 4,6 => UNS
* INC # D6: 3 + B4: 2,5 # F5: 4,6 => UNS
* INC # D6: 3 + B4: 2,5 # A4: 2,5 => UNS
* INC # D6: 3 + B4: 2,5 # A4: 6,8 => UNS
* INC # D6: 3 + B4: 2,5 # B8: 2,5 => UNS
* INC # D6: 3 + B4: 2,5 # B8: 3,4 => UNS
* INC # D6: 3 + B4: 2,5 # E5: 4,6 => UNS
* INC # D6: 3 + B4: 2,5 # F5: 4,6 => UNS
* INC # D6: 3 + B4: 2,5 => UNS
* INC # I6: 3 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for C7,B8: 3..:

* INC # C7: 3 # A3: 5,7 => UNS
* DIS # C7: 3 # C3: 5,7 => CTR => C3: 9
* INC # C7: 3 + C3: 9 # A3: 5,7 => UNS
* INC # C7: 3 + C3: 9 # A3: 1,6 => UNS
* INC # C7: 3 + C3: 9 # H2: 5,7 => UNS
* INC # C7: 3 + C3: 9 # H2: 3,8 => UNS
* INC # C7: 3 + C3: 9 # C6: 5,7 => UNS
* INC # C7: 3 + C3: 9 # C6: 4,8 => UNS
* INC # C7: 3 + C3: 9 # A1: 2,7 => UNS
* INC # C7: 3 + C3: 9 # A1: 1,6 => UNS
* INC # C7: 3 + C3: 9 # C5: 2,7 => UNS
* INC # C7: 3 + C3: 9 # C5: 4,8 => UNS
* INC # C7: 3 + C3: 9 # A3: 5,7 => UNS
* INC # C7: 3 + C3: 9 # A3: 1,6 => UNS
* INC # C7: 3 + C3: 9 # H2: 5,7 => UNS
* INC # C7: 3 + C3: 9 # H2: 3,8 => UNS
* INC # C7: 3 + C3: 9 # C6: 5,7 => UNS
* INC # C7: 3 + C3: 9 # C6: 4,8 => UNS
* INC # C7: 3 + C3: 9 => UNS
* INC # B8: 3 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for H4,I6: 3..:

* DIS # H4: 3 # B4: 4,6 => CTR => B4: 2,5
* INC # H4: 3 + B4: 2,5 # E5: 4,6 => UNS
* INC # H4: 3 + B4: 2,5 # F5: 4,6 => UNS
* INC # H4: 3 + B4: 2,5 # A4: 2,5 => UNS
* INC # H4: 3 + B4: 2,5 # A4: 6,8 => UNS
* INC # H4: 3 + B4: 2,5 # B8: 2,5 => UNS
* INC # H4: 3 + B4: 2,5 # B8: 3,4 => UNS
* INC # H4: 3 + B4: 2,5 # E5: 4,6 => UNS
* INC # H4: 3 + B4: 2,5 # F5: 4,6 => UNS
* INC # H4: 3 + B4: 2,5 => UNS
* INC # I6: 3 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for I5,I8: 2..:

* INC # I5: 2 # B4: 4,6 => UNS
* INC # I5: 2 # B4: 2,5 => UNS
* DIS # I5: 2 # E5: 4,6 => CTR => E5: 1,7,8
* INC # I5: 2 + E5: 1,7,8 # F5: 4,6 => UNS
* INC # I5: 2 + E5: 1,7,8 # F5: 4,6 => UNS
* INC # I5: 2 + E5: 1,7,8 # F5: 1,7,8 => UNS
* INC # I5: 2 + E5: 1,7,8 # B4: 4,6 => UNS
* INC # I5: 2 + E5: 1,7,8 # B4: 2,5 => UNS
* INC # I5: 2 + E5: 1,7,8 # F5: 4,6 => UNS
* INC # I5: 2 + E5: 1,7,8 # F5: 1,7,8 => UNS
* INC # I5: 2 + E5: 1,7,8 # G4: 4,8 => UNS
* INC # I5: 2 + E5: 1,7,8 # H4: 4,8 => UNS
* INC # I5: 2 + E5: 1,7,8 # G6: 4,8 => UNS
* INC # I5: 2 + E5: 1,7,8 # C5: 4,8 => UNS
* INC # I5: 2 + E5: 1,7,8 # F5: 4,8 => UNS
* INC # I5: 2 + E5: 1,7,8 # B9: 1,5 => UNS
* INC # I5: 2 + E5: 1,7,8 # B9: 4 => UNS
* INC # I5: 2 + E5: 1,7,8 # F7: 1,5 => UNS
* INC # I5: 2 + E5: 1,7,8 # F7: 3,4,6 => UNS
* INC # I5: 2 + E5: 1,7,8 # A3: 1,5 => UNS
* INC # I5: 2 + E5: 1,7,8 # A3: 6,7 => UNS
* INC # I5: 2 + E5: 1,7,8 # B4: 4,6 => UNS
* INC # I5: 2 + E5: 1,7,8 # B4: 2,5 => UNS
* INC # I5: 2 + E5: 1,7,8 # F5: 4,6 => UNS
* INC # I5: 2 + E5: 1,7,8 # F5: 1,7,8 => UNS
* INC # I5: 2 + E5: 1,7,8 # G4: 4,8 => UNS
* INC # I5: 2 + E5: 1,7,8 # H4: 4,8 => UNS
* INC # I5: 2 + E5: 1,7,8 # G6: 4,8 => UNS
* INC # I5: 2 + E5: 1,7,8 # C5: 4,8 => UNS
* INC # I5: 2 + E5: 1,7,8 # F5: 4,8 => UNS
* INC # I5: 2 + E5: 1,7,8 # B9: 1,5 => UNS
* INC # I5: 2 + E5: 1,7,8 # B9: 4 => UNS
* INC # I5: 2 + E5: 1,7,8 # F7: 1,5 => UNS
* INC # I5: 2 + E5: 1,7,8 # F7: 3,4,6 => UNS
* INC # I5: 2 + E5: 1,7,8 # A3: 1,5 => UNS
* INC # I5: 2 + E5: 1,7,8 # A3: 6,7 => UNS
* INC # I5: 2 + E5: 1,7,8 => UNS
* INC # I8: 2 # G6: 1,4 => UNS
* INC # I8: 2 # I6: 1,4 => UNS
* INC # I8: 2 # E5: 1,4 => UNS
* INC # I8: 2 # F5: 1,4 => UNS
* INC # I8: 2 # I3: 1,4 => UNS
* INC # I8: 2 # I3: 5,6,9 => UNS
* INC # I8: 2 # C9: 5,8 => UNS
* INC # I8: 2 # C9: 4 => UNS
* INC # I8: 2 # F8: 5,8 => UNS
* INC # I8: 2 # F8: 3,4,7 => UNS
* INC # I8: 2 # A4: 5,8 => UNS
* INC # I8: 2 # A6: 5,8 => UNS
* INC # I8: 2 => UNS
* CNT  50 HDP CHAINS /  50 HYP OPENED

Full list of HDP chains traversed for H7,I8: 2..:

* INC # H7: 2 # B4: 4,6 => UNS
* INC # H7: 2 # B4: 2,5 => UNS
* DIS # H7: 2 # E5: 4,6 => CTR => E5: 1,7,8
* INC # H7: 2 + E5: 1,7,8 # F5: 4,6 => UNS
* INC # H7: 2 + E5: 1,7,8 # F5: 4,6 => UNS
* INC # H7: 2 + E5: 1,7,8 # F5: 1,7,8 => UNS
* INC # H7: 2 + E5: 1,7,8 # B4: 4,6 => UNS
* INC # H7: 2 + E5: 1,7,8 # B4: 2,5 => UNS
* INC # H7: 2 + E5: 1,7,8 # F5: 4,6 => UNS
* INC # H7: 2 + E5: 1,7,8 # F5: 1,7,8 => UNS
* INC # H7: 2 + E5: 1,7,8 # G4: 4,8 => UNS
* INC # H7: 2 + E5: 1,7,8 # H4: 4,8 => UNS
* INC # H7: 2 + E5: 1,7,8 # G6: 4,8 => UNS
* INC # H7: 2 + E5: 1,7,8 # C5: 4,8 => UNS
* INC # H7: 2 + E5: 1,7,8 # F5: 4,8 => UNS
* INC # H7: 2 + E5: 1,7,8 # B9: 1,5 => UNS
* INC # H7: 2 + E5: 1,7,8 # B9: 4 => UNS
* INC # H7: 2 + E5: 1,7,8 # F7: 1,5 => UNS
* INC # H7: 2 + E5: 1,7,8 # F7: 3,4,6 => UNS
* INC # H7: 2 + E5: 1,7,8 # A3: 1,5 => UNS
* INC # H7: 2 + E5: 1,7,8 # A3: 6,7 => UNS
* INC # H7: 2 + E5: 1,7,8 # B4: 4,6 => UNS
* INC # H7: 2 + E5: 1,7,8 # B4: 2,5 => UNS
* INC # H7: 2 + E5: 1,7,8 # F5: 4,6 => UNS
* INC # H7: 2 + E5: 1,7,8 # F5: 1,7,8 => UNS
* INC # H7: 2 + E5: 1,7,8 # G4: 4,8 => UNS
* INC # H7: 2 + E5: 1,7,8 # H4: 4,8 => UNS
* INC # H7: 2 + E5: 1,7,8 # G6: 4,8 => UNS
* INC # H7: 2 + E5: 1,7,8 # C5: 4,8 => UNS
* INC # H7: 2 + E5: 1,7,8 # F5: 4,8 => UNS
* INC # H7: 2 + E5: 1,7,8 # B9: 1,5 => UNS
* INC # H7: 2 + E5: 1,7,8 # B9: 4 => UNS
* INC # H7: 2 + E5: 1,7,8 # F7: 1,5 => UNS
* INC # H7: 2 + E5: 1,7,8 # F7: 3,4,6 => UNS
* INC # H7: 2 + E5: 1,7,8 # A3: 1,5 => UNS
* INC # H7: 2 + E5: 1,7,8 # A3: 6,7 => UNS
* INC # H7: 2 + E5: 1,7,8 => UNS
* INC # I8: 2 # G6: 1,4 => UNS
* INC # I8: 2 # I6: 1,4 => UNS
* INC # I8: 2 # E5: 1,4 => UNS
* INC # I8: 2 # F5: 1,4 => UNS
* INC # I8: 2 # I3: 1,4 => UNS
* INC # I8: 2 # I3: 5,6,9 => UNS
* INC # I8: 2 # C9: 5,8 => UNS
* INC # I8: 2 # C9: 4 => UNS
* INC # I8: 2 # F8: 5,8 => UNS
* INC # I8: 2 # F8: 3,4,7 => UNS
* INC # I8: 2 # A4: 5,8 => UNS
* INC # I8: 2 # A6: 5,8 => UNS
* INC # I8: 2 => UNS
* CNT  50 HDP CHAINS /  50 HYP OPENED

Full list of HDP chains traversed for D4,E4: 9..:

* INC # D4: 9 => UNS
* INC # E4: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for A8,C9: 8..:

* INC # A8: 8 # C6: 5,7 => UNS
* INC # A8: 8 # C6: 4,8 => UNS
* INC # A8: 8 # A3: 5,7 => UNS
* INC # A8: 8 # A3: 1,6 => UNS
* INC # A8: 8 # C7: 4,5 => UNS
* INC # A8: 8 # B8: 4,5 => UNS
* DIS # A8: 8 # B9: 4,5 => CTR => B9: 1
* DIS # A8: 8 + B9: 1 # F9: 4,5 => CTR => F9: 6,7,8
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # H9: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # I9: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 7,8 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C7: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # B8: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # H9: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # I9: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 7,8 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 4,8 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # A3: 5,7 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # A3: 1,6 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C7: 2,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # B8: 2,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # A4: 2,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # A4: 6 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C7: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # B8: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # H9: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # I9: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 4,5 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 7,8 => UNS
* DIS # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 # B4: 2,6 => CTR => B4: 4
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 # A1: 2,6 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 # A1: 1,7 => UNS
* DIS # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 # A3: 5,7 => CTR => A3: 1,6
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 + A3: 1,6 # C2: 5,7 => UNS
* DIS # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 + A3: 1,6 # C3: 5,7 => CTR => C3: 9
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 + A3: 1,6 + C3: 9 # C2: 5,7 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 + A3: 1,6 + C3: 9 # C2: 3 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 + A3: 1,6 + C3: 9 # C2: 5,7 => UNS
* INC # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 + A3: 1,6 + C3: 9 # C2: 3 => UNS
* PRF # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 + A3: 1,6 + C3: 9 # I5: 2,4 => SOL
* STA # A8: 8 + B9: 1 + F9: 6,7,8 # C6: 5,7 + B4: 4 + A3: 1,6 + C3: 9 + I5: 2,4
* CNT  43 HDP CHAINS /  45 HYP OPENED