Analysis of xx-ph-01055645-13_07-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 9876..5..4..9..6......8....5..4..9....3.9..2.....7....1.......5..9.4.1.....1...69 initial

Autosolve

position: 9876..5..4..9..6......8..9.5..4..9....3.9..2..9..7..5.1....9..5..9.4.1.....1...69 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: 0:00:19.541677

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

Time used: 0:00:00.000012

List of important HDP chains detected for H1,H7: 4..:

* DIS # H1: 4 # I5: 7,8 => CTR => I5: 1,4,6
* DIS # H1: 4 + I5: 1,4,6 # I6: 3,8 => CTR => I6: 1,4,6
* DIS # H1: 4 + I5: 1,4,6 + I6: 1,4,6 # F6: 3,8 => CTR => F6: 1,2,6
* CNT   3 HDP CHAINS /  62 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: 0:00:36.840196

List of important HDP chains detected for H1,H7: 4..:

* DIS # H1: 4 # I5: 7,8 => CTR => I5: 1,4,6
* DIS # H1: 4 + I5: 1,4,6 # I6: 3,8 => CTR => I6: 1,4,6
* DIS # H1: 4 + I5: 1,4,6 + I6: 1,4,6 # F6: 3,8 => CTR => F6: 1,2,6
* DIS # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 5,8 # B2: 1,5 => CTR => B2: 2,3
* DIS # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 5,8 + B2: 2,3 # A8: 2,3 => CTR => A8: 7,8
* PRF # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 5,8 + B2: 2,3 + A8: 7,8 # A9: 2,3 => SOL
* STA # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 5,8 + B2: 2,3 + A8: 7,8 + A9: 2,3
* CNT   6 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

9876..5..4..9..6......8....5..4..9....3.9..2.....7....1.......5..9.4.1.....1...69 initial
9876..5..4..9..6......8..9.5..4..9....3.9..2..9..7..5.1....9..5..9.4.1.....1...69 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
D5: 5,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F1,F3: 4.. / F1 = 4  =>  2 pairs (_) / F3 = 4  =>  1 pairs (_)
B5,C6: 4.. / B5 = 4  =>  2 pairs (_) / C6 = 4  =>  2 pairs (_)
H1,H7: 4.. / H1 = 4  =>  3 pairs (_) / H7 = 4  =>  2 pairs (_)
D5,F5: 5.. / D5 = 5  =>  0 pairs (_) / F5 = 5  =>  3 pairs (_)
E2,E9: 5.. / E2 = 5  =>  3 pairs (_) / E9 = 5  =>  1 pairs (_)
E7,F8: 6.. / E7 = 6  =>  1 pairs (_) / F8 = 6  =>  2 pairs (_)
E4,E7: 6.. / E4 = 6  =>  2 pairs (_) / E7 = 6  =>  1 pairs (_)
H2,I2: 8.. / H2 = 8  =>  2 pairs (_) / I2 = 8  =>  1 pairs (_)
* DURATION: 0:00:05.205021  START: 16:57:42.552388  END: 16:57:47.757409 2020-09-24
* CP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H1,H7: 4.. / H1 = 4 ==>  3 pairs (_) / H7 = 4 ==>  2 pairs (_)
E2,E9: 5.. / E2 = 5 ==>  3 pairs (_) / E9 = 5 ==>  1 pairs (_)
D5,F5: 5.. / D5 = 5 ==>  0 pairs (_) / F5 = 5 ==>  3 pairs (_)
B5,C6: 4.. / B5 = 4 ==>  2 pairs (_) / C6 = 4 ==>  2 pairs (_)
H2,I2: 8.. / H2 = 8 ==>  2 pairs (_) / I2 = 8 ==>  1 pairs (_)
E4,E7: 6.. / E4 = 6 ==>  2 pairs (_) / E7 = 6 ==>  1 pairs (_)
E7,F8: 6.. / E7 = 6 ==>  1 pairs (_) / F8 = 6 ==>  2 pairs (_)
F1,F3: 4.. / F1 = 4 ==>  2 pairs (_) / F3 = 4 ==>  1 pairs (_)
* DURATION: 0:01:32.672732  START: 16:58:10.563811  END: 16:59:43.236543 2020-09-24
* REASONING H1,H7: 4..
* DIS # H1: 4 # I5: 7,8 => CTR => I5: 1,4,6
* DIS # H1: 4 + I5: 1,4,6 # I6: 3,8 => CTR => I6: 1,4,6
* DIS # H1: 4 + I5: 1,4,6 + I6: 1,4,6 # F6: 3,8 => CTR => F6: 1,2,6
* CNT   3 HDP CHAINS /  62 HYP OPENED
* DCP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
H1,H7: 4.. / H1 = 4 ==>  0 pairs (*) / H7 = 4  =>  0 pairs (X)
* DURATION: 0:00:36.838580  START: 16:59:43.345983  END: 17:00:20.184563 2020-09-24
* REASONING H1,H7: 4..
* DIS # H1: 4 # I5: 7,8 => CTR => I5: 1,4,6
* DIS # H1: 4 + I5: 1,4,6 # I6: 3,8 => CTR => I6: 1,4,6
* DIS # H1: 4 + I5: 1,4,6 + I6: 1,4,6 # F6: 3,8 => CTR => F6: 1,2,6
* DIS # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 5,8 # B2: 1,5 => CTR => B2: 2,3
* DIS # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 5,8 + B2: 2,3 # A8: 2,3 => CTR => A8: 7,8
* PRF # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 5,8 + B2: 2,3 + A8: 7,8 # A9: 2,3 => SOL
* STA # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 5,8 + B2: 2,3 + A8: 7,8 + A9: 2,3
* CNT   6 HDP CHAINS /  54 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1055645;13_07;GP;24;11.60;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # F5: 5,8 => UNS
* INC # F5: 1,6 => UNS
* INC # D8: 5,8 => UNS
* INC # D8: 2,3,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # F5: 5,8 => UNS
* INC # F5: 1,6 => UNS
* INC # D8: 5,8 => UNS
* INC # D8: 2,3,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # F5: 5,8 => UNS
* INC # F5: 1,6 => UNS
* INC # D8: 5,8 => UNS
* INC # D8: 2,3,7 => UNS
* INC # F5: 5,8 # B4: 6,7 => UNS
* INC # F5: 5,8 # B5: 6,7 => UNS
* INC # F5: 5,8 # I5: 6,7 => UNS
* INC # F5: 5,8 # I5: 1,4 => UNS
* INC # F5: 5,8 # A8: 6,7 => UNS
* INC # F5: 5,8 # A8: 2,3,8 => UNS
* INC # F5: 5,8 # D8: 5,8 => UNS
* INC # F5: 5,8 # D8: 2,3,7 => UNS
* INC # F5: 5,8 # F8: 5,8 => UNS
* INC # F5: 5,8 # F9: 5,8 => UNS
* INC # F5: 5,8 # E4: 2,3 => UNS
* INC # F5: 5,8 # F4: 2,3 => UNS
* INC # F5: 5,8 # F6: 2,3 => UNS
* INC # F5: 5,8 # D3: 2,3 => UNS
* INC # F5: 5,8 # D7: 2,3 => UNS
* INC # F5: 5,8 # D8: 2,3 => UNS
* INC # F5: 5,8 # I5: 4,7 => UNS
* INC # F5: 5,8 # I5: 1,6 => UNS
* INC # F5: 5,8 # B5: 4,7 => UNS
* INC # F5: 5,8 # B5: 1,6 => UNS
* INC # F5: 5,8 # G3: 4,7 => UNS
* INC # F5: 5,8 # G7: 4,7 => UNS
* INC # F5: 5,8 # G9: 4,7 => UNS
* INC # F5: 5,8 => UNS
* INC # F5: 1,6 # E4: 1,6 => UNS
* INC # F5: 1,6 # F4: 1,6 => UNS
* INC # F5: 1,6 # F6: 1,6 => UNS
* INC # F5: 1,6 # B5: 1,6 => UNS
* INC # F5: 1,6 # I5: 1,6 => UNS
* INC # F5: 1,6 => UNS
* INC # D8: 5,8 # F5: 5,8 => UNS
* INC # D8: 5,8 # F5: 1,6 => UNS
* INC # D8: 5,8 # E4: 2,3 => UNS
* INC # D8: 5,8 # F4: 2,3 => UNS
* INC # D8: 5,8 # F6: 2,3 => UNS
* INC # D8: 5,8 # D3: 2,3 => UNS
* INC # D8: 5,8 # D7: 2,3 => UNS
* INC # D8: 5,8 # F8: 5,8 => UNS
* INC # D8: 5,8 # F9: 5,8 => UNS
* INC # D8: 5,8 => UNS
* INC # D8: 2,3,7 # F5: 5,8 => UNS
* INC # D8: 2,3,7 # F5: 1,6 => UNS
* INC # D8: 2,3,7 => UNS
* CNT  47 HDP CHAINS /  47 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H1,H7: 4..:

* INC # H1: 4 # F5: 5,8 => UNS
* INC # H1: 4 # F5: 1,6 => UNS
* INC # H1: 4 # D8: 5,8 => UNS
* INC # H1: 4 # D8: 2,3,7 => UNS
* INC # H1: 4 # H4: 7,8 => UNS
* INC # H1: 4 # I4: 7,8 => UNS
* DIS # H1: 4 # I5: 7,8 => CTR => I5: 1,4,6
* INC # H1: 4 + I5: 1,4,6 # A5: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # A5: 6 => UNS
* INC # H1: 4 + I5: 1,4,6 # G7: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # G9: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # H4: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # I4: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # A5: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # A5: 6 => UNS
* INC # H1: 4 + I5: 1,4,6 # G7: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # G9: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # H4: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # I4: 3,8 => UNS
* DIS # H1: 4 + I5: 1,4,6 # I6: 3,8 => CTR => I6: 1,4,6
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 # D6: 3,8 => UNS
* DIS # H1: 4 + I5: 1,4,6 + I6: 1,4,6 # F6: 3,8 => CTR => F6: 1,2,6
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # D6: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # D6: 2 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # G7: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # G9: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # H4: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # I4: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # D6: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # D6: 2 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # G7: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # G9: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 5,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 1,6 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # D8: 5,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # D8: 2,3,7 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # H4: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # I4: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # A5: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # A5: 6 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # G7: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # G9: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # H4: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # I4: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # D6: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # D6: 2 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # G7: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # G9: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 => UNS
* INC # H7: 4 # I1: 1,3 => UNS
* INC # H7: 4 # H2: 1,3 => UNS
* INC # H7: 4 # I2: 1,3 => UNS
* INC # H7: 4 # I3: 1,3 => UNS
* INC # H7: 4 # E1: 1,3 => UNS
* INC # H7: 4 # F1: 1,3 => UNS
* INC # H7: 4 # H4: 1,3 => UNS
* INC # H7: 4 # H4: 7,8 => UNS
* INC # H7: 4 # F5: 5,8 => UNS
* INC # H7: 4 # F5: 1,6 => UNS
* INC # H7: 4 # D8: 5,8 => UNS
* INC # H7: 4 # D8: 2,3,7 => UNS
* INC # H7: 4 => UNS
* CNT  62 HDP CHAINS /  62 HYP OPENED

Full list of HDP chains traversed for E2,E9: 5..:

* INC # E2: 5 # B2: 1,2 => UNS
* INC # E2: 5 # B3: 1,2 => UNS
* INC # E2: 5 # C3: 1,2 => UNS
* INC # E2: 5 # F2: 1,2 => UNS
* INC # E2: 5 # I2: 1,2 => UNS
* INC # E2: 5 # C4: 1,2 => UNS
* INC # E2: 5 # C6: 1,2 => UNS
* INC # E2: 5 # F5: 5,8 => UNS
* INC # E2: 5 # F5: 1,6 => UNS
* INC # E2: 5 # D8: 5,8 => UNS
* INC # E2: 5 # D8: 2,3,7 => UNS
* INC # E2: 5 # D7: 2,3 => UNS
* INC # E2: 5 # E7: 2,3 => UNS
* INC # E2: 5 # D8: 2,3 => UNS
* INC # E2: 5 # F8: 2,3 => UNS
* INC # E2: 5 # F9: 2,3 => UNS
* INC # E2: 5 # A9: 2,3 => UNS
* INC # E2: 5 # B9: 2,3 => UNS
* INC # E2: 5 # G9: 2,3 => UNS
* INC # E2: 5 # E1: 2,3 => UNS
* INC # E2: 5 # E4: 2,3 => UNS
* INC # E2: 5 => UNS
* INC # E9: 5 # F5: 5,8 => UNS
* INC # E9: 5 # F5: 1,6 => UNS
* INC # E9: 5 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for D5,F5: 5..:

* INC # F5: 5 # B4: 6,7 => UNS
* INC # F5: 5 # B5: 6,7 => UNS
* INC # F5: 5 # I5: 6,7 => UNS
* INC # F5: 5 # I5: 1,4 => UNS
* INC # F5: 5 # A8: 6,7 => UNS
* INC # F5: 5 # A8: 2,3,8 => UNS
* INC # F5: 5 # E4: 2,3 => UNS
* INC # F5: 5 # F4: 2,3 => UNS
* INC # F5: 5 # F6: 2,3 => UNS
* INC # F5: 5 # D3: 2,3 => UNS
* INC # F5: 5 # D7: 2,3 => UNS
* INC # F5: 5 # D8: 2,3 => UNS
* INC # F5: 5 # I5: 4,7 => UNS
* INC # F5: 5 # I5: 1,6 => UNS
* INC # F5: 5 # B5: 4,7 => UNS
* INC # F5: 5 # B5: 1,6 => UNS
* INC # F5: 5 # G3: 4,7 => UNS
* INC # F5: 5 # G7: 4,7 => UNS
* INC # F5: 5 # G9: 4,7 => UNS
* INC # F5: 5 => UNS
* INC # D5: 5 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for B5,C6: 4..:

* INC # B5: 4 # F5: 5,8 => UNS
* INC # B5: 4 # F5: 1,6 => UNS
* INC # B5: 4 # D8: 5,8 => UNS
* INC # B5: 4 # D8: 2,3,7 => UNS
* INC # B5: 4 # H4: 7,8 => UNS
* INC # B5: 4 # I4: 7,8 => UNS
* INC # B5: 4 # I5: 7,8 => UNS
* INC # B5: 4 # A5: 7,8 => UNS
* INC # B5: 4 # A5: 6 => UNS
* INC # B5: 4 # G7: 7,8 => UNS
* INC # B5: 4 # G9: 7,8 => UNS
* INC # B5: 4 => UNS
* INC # C6: 4 # F5: 5,8 => UNS
* INC # C6: 4 # F5: 1,6 => UNS
* INC # C6: 4 # D8: 5,8 => UNS
* INC # C6: 4 # D8: 2,3,7 => UNS
* INC # C6: 4 # H4: 3,8 => UNS
* INC # C6: 4 # I4: 3,8 => UNS
* INC # C6: 4 # I6: 3,8 => UNS
* INC # C6: 4 # D6: 3,8 => UNS
* INC # C6: 4 # F6: 3,8 => UNS
* INC # C6: 4 # G7: 3,8 => UNS
* INC # C6: 4 # G9: 3,8 => UNS
* INC # C6: 4 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for H2,I2: 8..:

* INC # H2: 8 # F5: 5,8 => UNS
* INC # H2: 8 # F5: 1,6 => UNS
* INC # H2: 8 # D8: 5,8 => UNS
* INC # H2: 8 # D8: 2,3,7 => UNS
* INC # H2: 8 # G7: 3,7 => UNS
* INC # H2: 8 # H7: 3,7 => UNS
* INC # H2: 8 # I8: 3,7 => UNS
* INC # H2: 8 # G9: 3,7 => UNS
* INC # H2: 8 # A8: 3,7 => UNS
* INC # H2: 8 # B8: 3,7 => UNS
* INC # H2: 8 # D8: 3,7 => UNS
* INC # H2: 8 # F8: 3,7 => UNS
* INC # H2: 8 # H4: 3,7 => UNS
* INC # H2: 8 # H4: 1 => UNS
* INC # H2: 8 => UNS
* INC # I2: 8 # F5: 5,8 => UNS
* INC # I2: 8 # F5: 1,6 => UNS
* INC # I2: 8 # D8: 5,8 => UNS
* INC # I2: 8 # D8: 2,3,7 => UNS
* INC # I2: 8 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for E4,E7: 6..:

* INC # E4: 6 # F5: 5,8 => UNS
* INC # E4: 6 # F5: 1 => UNS
* INC # E4: 6 # D8: 5,8 => UNS
* INC # E4: 6 # D8: 2,3,7 => UNS
* INC # E4: 6 # D7: 2,3 => UNS
* INC # E4: 6 # D8: 2,3 => UNS
* INC # E4: 6 # E9: 2,3 => UNS
* INC # E4: 6 # F9: 2,3 => UNS
* INC # E4: 6 # B7: 2,3 => UNS
* INC # E4: 6 # G7: 2,3 => UNS
* INC # E4: 6 # E1: 2,3 => UNS
* INC # E4: 6 # E2: 2,3 => UNS
* INC # E4: 6 => UNS
* INC # E7: 6 # F5: 5,8 => UNS
* INC # E7: 6 # F5: 1,6 => UNS
* INC # E7: 6 # D8: 5,8 => UNS
* INC # E7: 6 # D8: 2,3,7 => UNS
* INC # E7: 6 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for E7,F8: 6..:

* INC # F8: 6 # F5: 5,8 => UNS
* INC # F8: 6 # F5: 1 => UNS
* INC # F8: 6 # D8: 5,8 => UNS
* INC # F8: 6 # D8: 2,3,7 => UNS
* INC # F8: 6 # D7: 2,3 => UNS
* INC # F8: 6 # D8: 2,3 => UNS
* INC # F8: 6 # E9: 2,3 => UNS
* INC # F8: 6 # F9: 2,3 => UNS
* INC # F8: 6 # B7: 2,3 => UNS
* INC # F8: 6 # G7: 2,3 => UNS
* INC # F8: 6 # E1: 2,3 => UNS
* INC # F8: 6 # E2: 2,3 => UNS
* INC # F8: 6 => UNS
* INC # E7: 6 # F5: 5,8 => UNS
* INC # E7: 6 # F5: 1,6 => UNS
* INC # E7: 6 # D8: 5,8 => UNS
* INC # E7: 6 # D8: 2,3,7 => UNS
* INC # E7: 6 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for F1,F3: 4..:

* INC # F1: 4 # I1: 1,3 => UNS
* INC # F1: 4 # H2: 1,3 => UNS
* INC # F1: 4 # I2: 1,3 => UNS
* INC # F1: 4 # I3: 1,3 => UNS
* INC # F1: 4 # E1: 1,3 => UNS
* INC # F1: 4 # E1: 2 => UNS
* INC # F1: 4 # H4: 1,3 => UNS
* INC # F1: 4 # H4: 7,8 => UNS
* INC # F1: 4 # F5: 5,8 => UNS
* INC # F1: 4 # F5: 1,6 => UNS
* INC # F1: 4 # D8: 5,8 => UNS
* INC # F1: 4 # D8: 2,3,7 => UNS
* INC # F1: 4 => UNS
* INC # F3: 4 # F5: 5,8 => UNS
* INC # F3: 4 # F5: 1,6 => UNS
* INC # F3: 4 # D8: 5,8 => UNS
* INC # F3: 4 # D8: 2,3,7 => UNS
* INC # F3: 4 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

A5. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for H1,H7: 4..:

* INC # H1: 4 # F5: 5,8 => UNS
* INC # H1: 4 # F5: 1,6 => UNS
* INC # H1: 4 # D8: 5,8 => UNS
* INC # H1: 4 # D8: 2,3,7 => UNS
* INC # H1: 4 # H4: 7,8 => UNS
* INC # H1: 4 # I4: 7,8 => UNS
* DIS # H1: 4 # I5: 7,8 => CTR => I5: 1,4,6
* INC # H1: 4 + I5: 1,4,6 # A5: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # A5: 6 => UNS
* INC # H1: 4 + I5: 1,4,6 # G7: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # G9: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # H4: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # I4: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # A5: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # A5: 6 => UNS
* INC # H1: 4 + I5: 1,4,6 # G7: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # G9: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # H4: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 # I4: 3,8 => UNS
* DIS # H1: 4 + I5: 1,4,6 # I6: 3,8 => CTR => I6: 1,4,6
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 # D6: 3,8 => UNS
* DIS # H1: 4 + I5: 1,4,6 + I6: 1,4,6 # F6: 3,8 => CTR => F6: 1,2,6
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # D6: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # D6: 2 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # G7: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # G9: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # H4: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # I4: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # D6: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # D6: 2 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # G7: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # G9: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 5,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 1,6 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # D8: 5,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # D8: 2,3,7 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # H4: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # I4: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # A5: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # A5: 6 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # G7: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # G9: 7,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # H4: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # I4: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # D6: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # D6: 2 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # G7: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # G9: 3,8 => UNS
* INC # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 5,8 # B2: 2,3 => UNS
* DIS # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 5,8 # B2: 1,5 => CTR => B2: 2,3
* DIS # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 5,8 + B2: 2,3 # A8: 2,3 => CTR => A8: 7,8
* PRF # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 5,8 + B2: 2,3 + A8: 7,8 # A9: 2,3 => SOL
* STA # H1: 4 + I5: 1,4,6 + I6: 1,4,6 + F6: 1,2,6 # F5: 5,8 + B2: 2,3 + A8: 7,8 + A9: 2,3
* CNT  52 HDP CHAINS /  54 HYP OPENED