Analysis of xx-ph-00001320-476-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: .2..5...9...7..1....8..1.4.2.....83...9..3..1.3.6..4....4..89..5...7........6.... initial

Autosolve

position: .2..5...9...7..1....8..1.4.2.....83...9..3..1.3.6..49...4..89..5...7........6.... autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

See Appendix: Full HDP Chains for full list of HDP chains.

Pair Reduction

Pair Reduction

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:42.228250

The following important HDP chains were detected:

* DIS # A1: 4,6 # B4: 5,7 => CTR => B4: 1,4,6
* CNT   1 HDP CHAINS /  68 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

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: 0:00:00.000015

List of important HDP chains detected for D1,D5: 8..:

* DIS # D5: 8 # A1: 4,6 => CTR => A1: 1,3,7
* CNT   1 HDP CHAINS /  26 HYP OPENED

List of important HDP chains detected for D1,H1: 8..:

* DIS # H1: 8 # A1: 4,6 => CTR => A1: 1,3,7
* CNT   1 HDP CHAINS /  26 HYP OPENED

List of important HDP chains detected for D1,E2: 8..:

* DIS # E2: 8 # A1: 4,6 => CTR => A1: 1,3,7
* CNT   1 HDP CHAINS /  26 HYP OPENED

List of important HDP chains detected for A6,E6: 8..:

* DIS # E6: 8 # G1: 6,7 => CTR => G1: 3
* CNT   1 HDP CHAINS /  53 HYP OPENED

List of important HDP chains detected for A1,C1: 1..:

* DIS # C1: 1 # B4: 5,7 => CTR => B4: 1,4,6
* CNT   1 HDP CHAINS /  27 HYP OPENED

List of important HDP chains detected for F1,F2: 6..:

* DIS # F1: 6 # G3: 3,7 => CTR => G3: 2,5,6
* CNT   1 HDP CHAINS /  27 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: 0:00:33.433892

List of important HDP chains detected for D1,D5: 8..:

* DIS # D5: 8 # A1: 4,6 => CTR => A1: 1,3,7
* PRF # D5: 8 + A1: 1,3,7 # E7: 1,2 # F9: 2,9 => SOL
* STA # D5: 8 + A1: 1,3,7 # E7: 1,2 + F9: 2,9
* CNT   2 HDP CHAINS /  31 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

.2..5...9...7..1....8..1.4.2.....83...9..3..1.3.6..4....4..89..5...7........6.... initial
.2..5...9...7..1....8..1.4.2.....83...9..3..1.3.6..49...4..89..5...7........6.... autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
F1: 4,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A1,C1: 1.. / A1 = 1  =>  2 pairs (_) / C1 = 1  =>  4 pairs (_)
C8,C9: 2.. / C8 = 2  =>  3 pairs (_) / C9 = 2  =>  1 pairs (_)
I8,I9: 4.. / I8 = 4  =>  2 pairs (_) / I9 = 4  =>  1 pairs (_)
F1,F2: 6.. / F1 = 6  =>  2 pairs (_) / F2 = 6  =>  3 pairs (_)
F4,F6: 7.. / F4 = 7  =>  3 pairs (_) / F6 = 7  =>  4 pairs (_)
D1,E2: 8.. / D1 = 8  =>  2 pairs (_) / E2 = 8  =>  6 pairs (_)
D1,H1: 8.. / D1 = 8  =>  2 pairs (_) / H1 = 8  =>  6 pairs (_)
A6,E6: 8.. / A6 = 8  =>  2 pairs (_) / E6 = 8  =>  4 pairs (_)
D1,D5: 8.. / D1 = 8  =>  2 pairs (_) / D5 = 8  =>  6 pairs (_)
* DURATION: 0:00:08.140581  START: 07:53:04.310806  END: 07:53:12.451387 2020-11-27
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D1,D5: 8.. / D1 = 8 ==>  2 pairs (_) / D5 = 8 ==>  6 pairs (_)
D1,H1: 8.. / D1 = 8 ==>  2 pairs (_) / H1 = 8 ==>  6 pairs (_)
D1,E2: 8.. / D1 = 8 ==>  2 pairs (_) / E2 = 8 ==>  6 pairs (_)
F4,F6: 7.. / F4 = 7 ==>  3 pairs (_) / F6 = 7 ==>  4 pairs (_)
A6,E6: 8.. / A6 = 8 ==>  2 pairs (_) / E6 = 8 ==>  5 pairs (_)
A1,C1: 1.. / A1 = 1 ==>  2 pairs (_) / C1 = 1 ==>  4 pairs (_)
F1,F2: 6.. / F1 = 6 ==>  2 pairs (_) / F2 = 6 ==>  3 pairs (_)
C8,C9: 2.. / C8 = 2 ==>  3 pairs (_) / C9 = 2 ==>  1 pairs (_)
I8,I9: 4.. / I8 = 4 ==>  2 pairs (_) / I9 = 4 ==>  1 pairs (_)
* DURATION: 0:02:23.992187  START: 07:53:59.365703  END: 07:56:23.357890 2020-11-27
* REASONING D1,D5: 8..
* DIS # D5: 8 # A1: 4,6 => CTR => A1: 1,3,7
* CNT   1 HDP CHAINS /  26 HYP OPENED
* REASONING D1,H1: 8..
* DIS # H1: 8 # A1: 4,6 => CTR => A1: 1,3,7
* CNT   1 HDP CHAINS /  26 HYP OPENED
* REASONING D1,E2: 8..
* DIS # E2: 8 # A1: 4,6 => CTR => A1: 1,3,7
* CNT   1 HDP CHAINS /  26 HYP OPENED
* REASONING A6,E6: 8..
* DIS # E6: 8 # G1: 6,7 => CTR => G1: 3
* CNT   1 HDP CHAINS /  53 HYP OPENED
* REASONING A1,C1: 1..
* DIS # C1: 1 # B4: 5,7 => CTR => B4: 1,4,6
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING F1,F2: 6..
* DIS # F1: 6 # G3: 3,7 => CTR => G3: 2,5,6
* CNT   1 HDP CHAINS /  27 HYP OPENED
* DCP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
D1,D5: 8.. / D1 = 8  =>  0 pairs (X) / D5 = 8 ==>  0 pairs (*)
* DURATION: 0:00:33.431947  START: 07:56:23.474728  END: 07:56:56.906675 2020-11-27
* REASONING D1,D5: 8..
* DIS # D5: 8 # A1: 4,6 => CTR => A1: 1,3,7
* PRF # D5: 8 + A1: 1,3,7 # E7: 1,2 # F9: 2,9 => SOL
* STA # D5: 8 + A1: 1,3,7 # E7: 1,2 + F9: 2,9
* CNT   2 HDP CHAINS /  31 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1320;476;elev;23;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # F2: 4,6 => UNS
* INC # F2: 2,9 => UNS
* INC # A1: 4,6 => UNS
* INC # A1: 1,3,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # F2: 4,6 => UNS
* INC # F2: 2,9 => UNS
* INC # A1: 4,6 => UNS
* INC # A1: 1,3,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # F2: 4,6 => UNS
* INC # F2: 2,9 => UNS
* INC # A1: 4,6 => UNS
* INC # A1: 1,3,7 => UNS
* INC # F2: 4,6 # E2: 3,8 => UNS
* INC # F2: 4,6 # E2: 2,9 => UNS
* INC # F2: 4,6 # A1: 4,6 => UNS
* INC # F2: 4,6 # A1: 1,3,7 => UNS
* INC # F2: 4,6 # A2: 4,6 => UNS
* INC # F2: 4,6 # B2: 4,6 => UNS
* INC # F2: 4,6 # D8: 2,9 => UNS
* INC # F2: 4,6 # D9: 2,9 => UNS
* INC # F2: 4,6 # F9: 2,9 => UNS
* INC # F2: 4,6 => UNS
* INC # F2: 2,9 # D5: 4,8 => UNS
* INC # F2: 2,9 # D5: 2,5 => UNS
* INC # F2: 2,9 # E5: 4,8 => UNS
* INC # F2: 2,9 # E5: 2 => UNS
* INC # F2: 2,9 # D3: 2,9 => UNS
* INC # F2: 2,9 # E3: 2,9 => UNS
* INC # F2: 2,9 # F8: 2,9 => UNS
* INC # F2: 2,9 # F9: 2,9 => UNS
* INC # F2: 2,9 # A1: 3,7 => UNS
* INC # F2: 2,9 # C1: 3,7 => UNS
* INC # F2: 2,9 # G9: 3,7 => UNS
* INC # F2: 2,9 # G9: 2,5 => UNS
* INC # F2: 2,9 # H9: 7,8 => UNS
* INC # F2: 2,9 # H9: 1,2,5 => UNS
* INC # F2: 2,9 => UNS
* INC # A1: 4,6 # A2: 4,6 => UNS
* INC # A1: 4,6 # B2: 4,6 => UNS
* INC # A1: 4,6 # A5: 4,6 => UNS
* INC # A1: 4,6 # A5: 7,8 => UNS
* INC # A1: 4,6 # E2: 3,8 => UNS
* INC # A1: 4,6 # E2: 2,4,9 => UNS
* INC # A1: 4,6 # F2: 4,6 => UNS
* INC # A1: 4,6 # F2: 2,9 => UNS
* INC # A1: 4,6 # G9: 3,7 => UNS
* INC # A1: 4,6 # G9: 2,5 => UNS
* INC # A1: 4,6 # H9: 7,8 => UNS
* INC # A1: 4,6 # H9: 1,2,5 => UNS
* INC # A1: 4,6 # A9: 1,8 => UNS
* INC # A1: 4,6 # A9: 3,7,9 => UNS
* DIS # A1: 4,6 # B4: 5,7 => CTR => B4: 1,4,6
* INC # A1: 4,6 + B4: 1,4,6 # C4: 5,7 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # B5: 5,7 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # F6: 5,7 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # I6: 5,7 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # A2: 4,6 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # B2: 4,6 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # A5: 4,6 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # A5: 7,8 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # E2: 3,8 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # E2: 2,4,9 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # F2: 4,6 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # F2: 2,9 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # G9: 3,7 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # G9: 2,5 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # H9: 7,8 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # H9: 1,2,5 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # A9: 1,8 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # A9: 3,7,9 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # C4: 5,7 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # B5: 5,7 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # F6: 5,7 => UNS
* INC # A1: 4,6 + B4: 1,4,6 # I6: 5,7 => UNS
* INC # A1: 4,6 + B4: 1,4,6 => UNS
* INC # A1: 1,3,7 => UNS
* CNT  68 HDP CHAINS /  68 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D1,D5: 8..:

* INC # D5: 8 # A1: 3,4 => UNS
* INC # D5: 8 # A1: 1,6,7 => UNS
* INC # D5: 8 # D8: 3,4 => UNS
* INC # D5: 8 # D9: 3,4 => UNS
* INC # D5: 8 # F2: 4,6 => UNS
* INC # D5: 8 # F2: 2,9 => UNS
* DIS # D5: 8 # A1: 4,6 => CTR => A1: 1,3,7
* INC # D5: 8 + A1: 1,3,7 # E7: 1,2 => UNS
* INC # D5: 8 + A1: 1,3,7 # E7: 3 => UNS
* INC # D5: 8 + A1: 1,3,7 # D8: 3,4 => UNS
* INC # D5: 8 + A1: 1,3,7 # D9: 3,4 => UNS
* INC # D5: 8 + A1: 1,3,7 # E7: 1,2 => UNS
* INC # D5: 8 + A1: 1,3,7 # E7: 3 => UNS
* INC # D5: 8 + A1: 1,3,7 => UNS
* INC # D1: 8 # F2: 4,6 => UNS
* INC # D1: 8 # F2: 2,9 => UNS
* INC # D1: 8 # A1: 4,6 => UNS
* INC # D1: 8 # A1: 1,3,7 => UNS
* INC # D1: 8 # G1: 6,7 => UNS
* INC # D1: 8 # G3: 6,7 => UNS
* INC # D1: 8 # I3: 6,7 => UNS
* INC # D1: 8 # A1: 6,7 => UNS
* INC # D1: 8 # C1: 6,7 => UNS
* INC # D1: 8 # H5: 6,7 => UNS
* INC # D1: 8 # H7: 6,7 => UNS
* INC # D1: 8 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for D1,H1: 8..:

* INC # H1: 8 # A1: 3,4 => UNS
* INC # H1: 8 # A1: 1,6,7 => UNS
* INC # H1: 8 # D8: 3,4 => UNS
* INC # H1: 8 # D9: 3,4 => UNS
* INC # H1: 8 # F2: 4,6 => UNS
* INC # H1: 8 # F2: 2,9 => UNS
* DIS # H1: 8 # A1: 4,6 => CTR => A1: 1,3,7
* INC # H1: 8 + A1: 1,3,7 # E7: 1,2 => UNS
* INC # H1: 8 + A1: 1,3,7 # E7: 3 => UNS
* INC # H1: 8 + A1: 1,3,7 # D8: 3,4 => UNS
* INC # H1: 8 + A1: 1,3,7 # D9: 3,4 => UNS
* INC # H1: 8 + A1: 1,3,7 # E7: 1,2 => UNS
* INC # H1: 8 + A1: 1,3,7 # E7: 3 => UNS
* INC # H1: 8 + A1: 1,3,7 => UNS
* INC # D1: 8 # F2: 4,6 => UNS
* INC # D1: 8 # F2: 2,9 => UNS
* INC # D1: 8 # A1: 4,6 => UNS
* INC # D1: 8 # A1: 1,3,7 => UNS
* INC # D1: 8 # G1: 6,7 => UNS
* INC # D1: 8 # G3: 6,7 => UNS
* INC # D1: 8 # I3: 6,7 => UNS
* INC # D1: 8 # A1: 6,7 => UNS
* INC # D1: 8 # C1: 6,7 => UNS
* INC # D1: 8 # H5: 6,7 => UNS
* INC # D1: 8 # H7: 6,7 => UNS
* INC # D1: 8 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for D1,E2: 8..:

* INC # E2: 8 # A1: 3,4 => UNS
* INC # E2: 8 # A1: 1,6,7 => UNS
* INC # E2: 8 # D8: 3,4 => UNS
* INC # E2: 8 # D9: 3,4 => UNS
* INC # E2: 8 # F2: 4,6 => UNS
* INC # E2: 8 # F2: 2,9 => UNS
* DIS # E2: 8 # A1: 4,6 => CTR => A1: 1,3,7
* INC # E2: 8 + A1: 1,3,7 # E7: 1,2 => UNS
* INC # E2: 8 + A1: 1,3,7 # E7: 3 => UNS
* INC # E2: 8 + A1: 1,3,7 # D8: 3,4 => UNS
* INC # E2: 8 + A1: 1,3,7 # D9: 3,4 => UNS
* INC # E2: 8 + A1: 1,3,7 # E7: 1,2 => UNS
* INC # E2: 8 + A1: 1,3,7 # E7: 3 => UNS
* INC # E2: 8 + A1: 1,3,7 => UNS
* INC # D1: 8 # F2: 4,6 => UNS
* INC # D1: 8 # F2: 2,9 => UNS
* INC # D1: 8 # A1: 4,6 => UNS
* INC # D1: 8 # A1: 1,3,7 => UNS
* INC # D1: 8 # G1: 6,7 => UNS
* INC # D1: 8 # G3: 6,7 => UNS
* INC # D1: 8 # I3: 6,7 => UNS
* INC # D1: 8 # A1: 6,7 => UNS
* INC # D1: 8 # C1: 6,7 => UNS
* INC # D1: 8 # H5: 6,7 => UNS
* INC # D1: 8 # H7: 6,7 => UNS
* INC # D1: 8 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for F4,F6: 7..:

* INC # F6: 7 # F2: 4,6 => UNS
* INC # F6: 7 # F2: 2,9 => UNS
* INC # F6: 7 # A1: 4,6 => UNS
* INC # F6: 7 # A1: 1,3,7 => UNS
* INC # F6: 7 # E6: 1,8 => UNS
* INC # F6: 7 # E6: 2 => UNS
* INC # F6: 7 # A9: 1,8 => UNS
* INC # F6: 7 # A9: 3,7,9 => UNS
* INC # F6: 7 # B4: 1,5 => UNS
* INC # F6: 7 # C4: 1,5 => UNS
* INC # F6: 7 # G5: 2,5 => UNS
* INC # F6: 7 # H5: 2,5 => UNS
* INC # F6: 7 # I2: 2,5 => UNS
* INC # F6: 7 # I3: 2,5 => UNS
* INC # F6: 7 # I7: 2,5 => UNS
* INC # F6: 7 # I9: 2,5 => UNS
* INC # F6: 7 => UNS
* INC # F4: 7 # F2: 4,6 => UNS
* INC # F4: 7 # F2: 2,9 => UNS
* INC # F4: 7 # A1: 4,6 => UNS
* INC # F4: 7 # A1: 1,3,7 => UNS
* INC # F4: 7 # D5: 2,5 => UNS
* INC # F4: 7 # D5: 4,8 => UNS
* INC # F4: 7 # I6: 2,5 => UNS
* INC # F4: 7 # I6: 7 => UNS
* INC # F4: 7 # F9: 2,5 => UNS
* INC # F4: 7 # F9: 4,9 => UNS
* INC # F4: 7 # G5: 5,6 => UNS
* INC # F4: 7 # H5: 5,6 => UNS
* INC # F4: 7 # B4: 5,6 => UNS
* INC # F4: 7 # C4: 5,6 => UNS
* INC # F4: 7 # I2: 5,6 => UNS
* INC # F4: 7 # I3: 5,6 => UNS
* INC # F4: 7 # I7: 5,6 => UNS
* INC # F4: 7 => UNS
* CNT  35 HDP CHAINS /  35 HYP OPENED

Full list of HDP chains traversed for A6,E6: 8..:

* INC # E6: 8 # F2: 4,6 => UNS
* INC # E6: 8 # F2: 2,9 => UNS
* INC # E6: 8 # A1: 4,6 => UNS
* INC # E6: 8 # A1: 1,3,7 => UNS
* DIS # E6: 8 # G1: 6,7 => CTR => G1: 3
* INC # E6: 8 + G1: 3 # G3: 6,7 => UNS
* INC # E6: 8 + G1: 3 # I3: 6,7 => UNS
* INC # E6: 8 + G1: 3 # A1: 6,7 => UNS
* INC # E6: 8 + G1: 3 # C1: 6,7 => UNS
* INC # E6: 8 + G1: 3 # H5: 6,7 => UNS
* INC # E6: 8 + G1: 3 # H7: 6,7 => UNS
* INC # E6: 8 + G1: 3 # C6: 1,7 => UNS
* INC # E6: 8 + G1: 3 # C6: 5 => UNS
* INC # E6: 8 + G1: 3 # A1: 1,7 => UNS
* INC # E6: 8 + G1: 3 # A1: 4,6 => UNS
* INC # E6: 8 + G1: 3 # D5: 2,4 => UNS
* INC # E6: 8 + G1: 3 # D5: 5 => UNS
* INC # E6: 8 + G1: 3 # E2: 2,4 => UNS
* INC # E6: 8 + G1: 3 # E2: 3,9 => UNS
* INC # E6: 8 + G1: 3 # F2: 4,6 => UNS
* INC # E6: 8 + G1: 3 # F2: 2,9 => UNS
* INC # E6: 8 + G1: 3 # A1: 4,6 => UNS
* INC # E6: 8 + G1: 3 # A1: 1,7 => UNS
* INC # E6: 8 + G1: 3 # G3: 6,7 => UNS
* INC # E6: 8 + G1: 3 # I3: 6,7 => UNS
* INC # E6: 8 + G1: 3 # A1: 6,7 => UNS
* INC # E6: 8 + G1: 3 # C1: 6,7 => UNS
* INC # E6: 8 + G1: 3 # H5: 6,7 => UNS
* INC # E6: 8 + G1: 3 # H7: 6,7 => UNS
* INC # E6: 8 + G1: 3 # C6: 1,7 => UNS
* INC # E6: 8 + G1: 3 # C6: 5 => UNS
* INC # E6: 8 + G1: 3 # A1: 1,7 => UNS
* INC # E6: 8 + G1: 3 # A1: 4,6 => UNS
* INC # E6: 8 + G1: 3 # D5: 2,4 => UNS
* INC # E6: 8 + G1: 3 # D5: 5 => UNS
* INC # E6: 8 + G1: 3 # E2: 2,4 => UNS
* INC # E6: 8 + G1: 3 # E2: 3,9 => UNS
* INC # E6: 8 + G1: 3 # H7: 2,6 => UNS
* INC # E6: 8 + G1: 3 # I7: 2,6 => UNS
* INC # E6: 8 + G1: 3 # H8: 2,6 => UNS
* INC # E6: 8 + G1: 3 # I8: 2,6 => UNS
* INC # E6: 8 + G1: 3 # C8: 2,6 => UNS
* INC # E6: 8 + G1: 3 # C8: 3 => UNS
* INC # E6: 8 + G1: 3 # G3: 2,6 => UNS
* INC # E6: 8 + G1: 3 # G5: 2,6 => UNS
* INC # E6: 8 + G1: 3 => UNS
* INC # A6: 8 # F2: 4,6 => UNS
* INC # A6: 8 # F2: 2,9 => UNS
* INC # A6: 8 # A1: 4,6 => UNS
* INC # A6: 8 # A1: 1,3,7 => UNS
* INC # A6: 8 # E7: 1,2 => UNS
* INC # A6: 8 # E7: 3 => UNS
* INC # A6: 8 => UNS
* CNT  53 HDP CHAINS /  53 HYP OPENED

Full list of HDP chains traversed for A1,C1: 1..:

* INC # C1: 1 # F2: 4,6 => UNS
* INC # C1: 1 # F2: 2,9 => UNS
* INC # C1: 1 # A1: 4,6 => UNS
* INC # C1: 1 # A1: 3,7 => UNS
* INC # C1: 1 # A9: 1,8 => UNS
* INC # C1: 1 # A9: 3,7,9 => UNS
* DIS # C1: 1 # B4: 5,7 => CTR => B4: 1,4,6
* INC # C1: 1 + B4: 1,4,6 # C4: 5,7 => UNS
* INC # C1: 1 + B4: 1,4,6 # B5: 5,7 => UNS
* INC # C1: 1 + B4: 1,4,6 # F6: 5,7 => UNS
* INC # C1: 1 + B4: 1,4,6 # I6: 5,7 => UNS
* INC # C1: 1 + B4: 1,4,6 # F2: 4,6 => UNS
* INC # C1: 1 + B4: 1,4,6 # F2: 2,9 => UNS
* INC # C1: 1 + B4: 1,4,6 # A1: 4,6 => UNS
* INC # C1: 1 + B4: 1,4,6 # A1: 3,7 => UNS
* INC # C1: 1 + B4: 1,4,6 # A9: 1,8 => UNS
* INC # C1: 1 + B4: 1,4,6 # A9: 3,7,9 => UNS
* INC # C1: 1 + B4: 1,4,6 # C4: 5,7 => UNS
* INC # C1: 1 + B4: 1,4,6 # B5: 5,7 => UNS
* INC # C1: 1 + B4: 1,4,6 # F6: 5,7 => UNS
* INC # C1: 1 + B4: 1,4,6 # I6: 5,7 => UNS
* INC # C1: 1 + B4: 1,4,6 => UNS
* INC # A1: 1 # A5: 7,8 => UNS
* INC # A1: 1 # B5: 7,8 => UNS
* INC # A1: 1 # A9: 7,8 => UNS
* INC # A1: 1 # A9: 3,9 => UNS
* INC # A1: 1 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for F1,F2: 6..:

* INC # F2: 6 # I2: 3,5 => UNS
* INC # F2: 6 # I2: 2,8 => UNS
* INC # F2: 6 # E2: 3,8 => UNS
* INC # F2: 6 # E2: 2,9 => UNS
* INC # F2: 6 # D8: 2,9 => UNS
* INC # F2: 6 # D9: 2,9 => UNS
* INC # F2: 6 # F9: 2,9 => UNS
* INC # F2: 6 => UNS
* DIS # F1: 6 # G3: 3,7 => CTR => G3: 2,5,6
* INC # F1: 6 + G3: 2,5,6 # I3: 3,7 => UNS
* INC # F1: 6 + G3: 2,5,6 # I3: 3,7 => UNS
* INC # F1: 6 + G3: 2,5,6 # I3: 2,5,6 => UNS
* INC # F1: 6 + G3: 2,5,6 # A1: 3,7 => UNS
* INC # F1: 6 + G3: 2,5,6 # C1: 3,7 => UNS
* INC # F1: 6 + G3: 2,5,6 # G9: 3,7 => UNS
* INC # F1: 6 + G3: 2,5,6 # G9: 2,5 => UNS
* INC # F1: 6 + G3: 2,5,6 # H9: 7,8 => UNS
* INC # F1: 6 + G3: 2,5,6 # H9: 1,2,5 => UNS
* INC # F1: 6 + G3: 2,5,6 # I3: 3,7 => UNS
* INC # F1: 6 + G3: 2,5,6 # I3: 2,5,6 => UNS
* INC # F1: 6 + G3: 2,5,6 # A1: 3,7 => UNS
* INC # F1: 6 + G3: 2,5,6 # C1: 3,7 => UNS
* INC # F1: 6 + G3: 2,5,6 # G9: 3,7 => UNS
* INC # F1: 6 + G3: 2,5,6 # G9: 2,5 => UNS
* INC # F1: 6 + G3: 2,5,6 # H9: 7,8 => UNS
* INC # F1: 6 + G3: 2,5,6 # H9: 1,2,5 => UNS
* INC # F1: 6 + G3: 2,5,6 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for C8,C9: 2..:

* INC # C8: 2 # F2: 4,6 => UNS
* INC # C8: 2 # F2: 2,9 => UNS
* INC # C8: 2 # A1: 4,6 => UNS
* INC # C8: 2 # A1: 1,3,7 => UNS
* INC # C8: 2 # D8: 4,9 => UNS
* INC # C8: 2 # D9: 4,9 => UNS
* INC # C8: 2 # F9: 4,9 => UNS
* INC # C8: 2 # F2: 4,9 => UNS
* INC # C8: 2 # F4: 4,9 => UNS
* INC # C8: 2 # I7: 3,6 => UNS
* INC # C8: 2 # I8: 3,6 => UNS
* INC # C8: 2 # G1: 3,6 => UNS
* INC # C8: 2 # G3: 3,6 => UNS
* INC # C8: 2 => UNS
* INC # C9: 2 # F2: 4,6 => UNS
* INC # C9: 2 # F2: 2,9 => UNS
* INC # C9: 2 # A1: 4,6 => UNS
* INC # C9: 2 # A1: 1,3,7 => UNS
* INC # C9: 2 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for I8,I9: 4..:

* INC # I8: 4 # F2: 4,6 => UNS
* INC # I8: 4 # F2: 2,9 => UNS
* INC # I8: 4 # A1: 4,6 => UNS
* INC # I8: 4 # A1: 1,3,7 => UNS
* INC # I8: 4 # D8: 2,9 => UNS
* INC # I8: 4 # D9: 2,9 => UNS
* INC # I8: 4 # F9: 2,9 => UNS
* INC # I8: 4 # F2: 2,9 => UNS
* INC # I8: 4 # F2: 4,6 => UNS
* INC # I8: 4 => UNS
* INC # I9: 4 # F2: 4,6 => UNS
* INC # I9: 4 # F2: 2,9 => UNS
* INC # I9: 4 # A1: 4,6 => UNS
* INC # I9: 4 # A1: 1,3,7 => UNS
* INC # I9: 4 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

A5. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for D1,D5: 8..:

* INC # D5: 8 # A1: 3,4 => UNS
* INC # D5: 8 # A1: 1,6,7 => UNS
* INC # D5: 8 # D8: 3,4 => UNS
* INC # D5: 8 # D9: 3,4 => UNS
* INC # D5: 8 # F2: 4,6 => UNS
* INC # D5: 8 # F2: 2,9 => UNS
* DIS # D5: 8 # A1: 4,6 => CTR => A1: 1,3,7
* INC # D5: 8 + A1: 1,3,7 # E7: 1,2 => UNS
* INC # D5: 8 + A1: 1,3,7 # E7: 3 => UNS
* INC # D5: 8 + A1: 1,3,7 # D8: 3,4 => UNS
* INC # D5: 8 + A1: 1,3,7 # D9: 3,4 => UNS
* INC # D5: 8 + A1: 1,3,7 # E7: 1,2 => UNS
* INC # D5: 8 + A1: 1,3,7 # E7: 3 => UNS
* INC # D5: 8 + A1: 1,3,7 # D8: 3,4 # F2: 2,9 => UNS
* INC # D5: 8 + A1: 1,3,7 # D8: 3,4 # E3: 2,9 => UNS
* INC # D5: 8 + A1: 1,3,7 # D8: 3,4 # D9: 2,9 => UNS
* INC # D5: 8 + A1: 1,3,7 # D8: 3,4 # D9: 1,5 => UNS
* INC # D5: 8 + A1: 1,3,7 # D8: 3,4 # E7: 1,2 => UNS
* INC # D5: 8 + A1: 1,3,7 # D8: 3,4 # E7: 3 => UNS
* INC # D5: 8 + A1: 1,3,7 # D8: 3,4 => UNS
* INC # D5: 8 + A1: 1,3,7 # D9: 3,4 # F2: 2,9 => UNS
* INC # D5: 8 + A1: 1,3,7 # D9: 3,4 # E3: 2,9 => UNS
* INC # D5: 8 + A1: 1,3,7 # D9: 3,4 # D8: 2,9 => UNS
* INC # D5: 8 + A1: 1,3,7 # D9: 3,4 # D8: 1 => UNS
* INC # D5: 8 + A1: 1,3,7 # D9: 3,4 # E7: 1,2 => UNS
* INC # D5: 8 + A1: 1,3,7 # D9: 3,4 # E7: 3 => UNS
* INC # D5: 8 + A1: 1,3,7 # D9: 3,4 => UNS
* INC # D5: 8 + A1: 1,3,7 # E7: 1,2 # F8: 2,9 => UNS
* PRF # D5: 8 + A1: 1,3,7 # E7: 1,2 # F9: 2,9 => SOL
* STA # D5: 8 + A1: 1,3,7 # E7: 1,2 + F9: 2,9
* CNT  29 HDP CHAINS /  31 HYP OPENED