Analysis of xx-ph-00025621-KC40b-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..7..5.......4.8..7.4.....3...9..3..8...3..2..13...9..4....2..1.......5..6 initial

Autosolve

position: 98.7..6..7..5.......4.8..7.4.....3...9..3..8...3..2..13...9..4....2..1.......5..6 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

Time used: 0:00:00.000006

List of important HDP chains detected for E4,E6: 5..:

* DIS # E6: 5 # B4: 6,7 => CTR => B4: 1,2,5
* CNT   1 HDP CHAINS /  31 HYP OPENED

List of important HDP chains detected for A6,D6: 8..:

* DIS # D6: 8 # D4: 1,6 => CTR => D4: 9
* CNT   1 HDP CHAINS /  49 HYP OPENED

List of important HDP chains detected for C4,A6: 8..:

* DIS # C4: 8 # D4: 1,6 => CTR => D4: 9
* CNT   1 HDP CHAINS /  49 HYP OPENED

List of important HDP chains detected for H4,H6: 6..:

* DIS # H6: 6 # B4: 5,7 => CTR => B4: 1,2,6
* CNT   1 HDP CHAINS /  27 HYP OPENED

List of important HDP chains detected for E1,E2: 2..:

* DIS # E2: 2 # B2: 1,6 => CTR => B2: 3
* DIS # E2: 2 + B2: 3 # F2: 1,6 => CTR => F2: 4,9
* CNT   2 HDP CHAINS /  23 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: 0:00:30.783990

List of important HDP chains detected for D3,D9: 3..:

* PRF # D3: 3 # E1: 2 # F2: 1,6 => SOL
* STA # D3: 3 # E1: 2 + F2: 1,6
* CNT   1 HDP CHAINS /  38 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..7..5.......4.8..7.4.....3...9..3..8...3..2..13...9..4....2..1.......5..6 initial
98.7..6..7..5.......4.8..7.4.....3...9..3..8...3..2..13...9..4....2..1.......5..6 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H1,H2: 1.. / H1 = 1  =>  3 pairs (_) / H2 = 1  =>  1 pairs (_)
E1,E2: 2.. / E1 = 2  =>  1 pairs (_) / E2 = 2  =>  2 pairs (_)
B2,B3: 3.. / B2 = 3  =>  0 pairs (_) / B3 = 3  =>  1 pairs (_)
F8,D9: 3.. / F8 = 3  =>  4 pairs (_) / D9 = 3  =>  1 pairs (_)
D9,H9: 3.. / D9 = 3  =>  1 pairs (_) / H9 = 3  =>  4 pairs (_)
D3,D9: 3.. / D3 = 3  =>  4 pairs (_) / D9 = 3  =>  1 pairs (_)
B8,B9: 4.. / B8 = 4  =>  1 pairs (_) / B9 = 4  =>  1 pairs (_)
E4,E6: 5.. / E4 = 5  =>  0 pairs (_) / E6 = 5  =>  3 pairs (_)
H4,H6: 6.. / H4 = 6  =>  1 pairs (_) / H6 = 6  =>  2 pairs (_)
G2,I2: 8.. / G2 = 8  =>  0 pairs (_) / I2 = 8  =>  0 pairs (_)
C4,A6: 8.. / C4 = 8  =>  2 pairs (_) / A6 = 8  =>  2 pairs (_)
A6,D6: 8.. / A6 = 8  =>  2 pairs (_) / D6 = 8  =>  2 pairs (_)
C8,C9: 9.. / C8 = 9  =>  1 pairs (_) / C9 = 9  =>  1 pairs (_)
* DURATION: 0:00:07.794319  START: 20:52:25.407369  END: 20:52:33.201688 2020-12-08
* CP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D3,D9: 3.. / D3 = 3 ==>  4 pairs (_) / D9 = 3 ==>  1 pairs (_)
D9,H9: 3.. / D9 = 3 ==>  1 pairs (_) / H9 = 3 ==>  4 pairs (_)
F8,D9: 3.. / F8 = 3 ==>  4 pairs (_) / D9 = 3 ==>  1 pairs (_)
H1,H2: 1.. / H1 = 1 ==>  3 pairs (_) / H2 = 1 ==>  1 pairs (_)
E4,E6: 5.. / E4 = 5 ==>  0 pairs (_) / E6 = 5 ==>  3 pairs (_)
A6,D6: 8.. / A6 = 8 ==>  2 pairs (_) / D6 = 8 ==>  2 pairs (_)
C4,A6: 8.. / C4 = 8 ==>  2 pairs (_) / A6 = 8 ==>  2 pairs (_)
H4,H6: 6.. / H4 = 6 ==>  1 pairs (_) / H6 = 6 ==>  2 pairs (_)
E1,E2: 2.. / E1 = 2 ==>  1 pairs (_) / E2 = 2 ==>  2 pairs (_)
C8,C9: 9.. / C8 = 9 ==>  1 pairs (_) / C9 = 9 ==>  1 pairs (_)
B8,B9: 4.. / B8 = 4 ==>  1 pairs (_) / B9 = 4 ==>  1 pairs (_)
B2,B3: 3.. / B2 = 3 ==>  0 pairs (_) / B3 = 3 ==>  1 pairs (_)
G2,I2: 8.. / G2 = 8 ==>  0 pairs (_) / I2 = 8 ==>  0 pairs (_)
* DURATION: 0:02:02.726487  START: 20:52:33.202247  END: 20:54:35.928734 2020-12-08
* REASONING E4,E6: 5..
* DIS # E6: 5 # B4: 6,7 => CTR => B4: 1,2,5
* CNT   1 HDP CHAINS /  31 HYP OPENED
* REASONING A6,D6: 8..
* DIS # D6: 8 # D4: 1,6 => CTR => D4: 9
* CNT   1 HDP CHAINS /  49 HYP OPENED
* REASONING C4,A6: 8..
* DIS # C4: 8 # D4: 1,6 => CTR => D4: 9
* CNT   1 HDP CHAINS /  49 HYP OPENED
* REASONING H4,H6: 6..
* DIS # H6: 6 # B4: 5,7 => CTR => B4: 1,2,6
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING E1,E2: 2..
* DIS # E2: 2 # B2: 1,6 => CTR => B2: 3
* DIS # E2: 2 + B2: 3 # F2: 1,6 => CTR => F2: 4,9
* CNT   2 HDP CHAINS /  23 HYP OPENED
* DCP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
D3,D9: 3.. / D3 = 3 ==>  0 pairs (*) / D9 = 3  =>  0 pairs (X)
* DURATION: 0:00:30.782575  START: 20:54:36.087726  END: 20:55:06.870301 2020-12-08
* REASONING D3,D9: 3..
* PRF # D3: 3 # E1: 2 # F2: 1,6 => SOL
* STA # D3: 3 # E1: 2 + F2: 1,6
* CNT   1 HDP CHAINS /  38 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

25621;KC40b;GP;24;11.30;11.30;10.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D3,D9: 3..:

* INC # D3: 3 # E1: 1,4 => UNS
* INC # D3: 3 # E1: 2 => UNS
* INC # D3: 3 # F5: 1,4 => UNS
* INC # D3: 3 # F5: 6,7 => UNS
* INC # D3: 3 # I8: 5,9 => UNS
* INC # D3: 3 # I8: 7,8 => UNS
* INC # D3: 3 # C8: 5,9 => UNS
* INC # D3: 3 # C8: 6,7,8 => UNS
* INC # D3: 3 # H4: 5,9 => UNS
* INC # D3: 3 # H6: 5,9 => UNS
* INC # D3: 3 => UNS
* INC # D9: 3 # G9: 2,9 => UNS
* INC # D9: 3 # G9: 7,8 => UNS
* INC # D9: 3 # C9: 2,9 => UNS
* INC # D9: 3 # C9: 1,7,8 => UNS
* INC # D9: 3 # H2: 2,9 => UNS
* INC # D9: 3 # H4: 2,9 => UNS
* INC # D9: 3 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for D9,H9: 3..:

* INC # H9: 3 # E1: 1,4 => UNS
* INC # H9: 3 # E1: 2 => UNS
* INC # H9: 3 # F5: 1,4 => UNS
* INC # H9: 3 # F5: 6,7 => UNS
* INC # H9: 3 # I8: 5,9 => UNS
* INC # H9: 3 # I8: 7,8 => UNS
* INC # H9: 3 # C8: 5,9 => UNS
* INC # H9: 3 # C8: 6,7,8 => UNS
* INC # H9: 3 # H4: 5,9 => UNS
* INC # H9: 3 # H6: 5,9 => UNS
* INC # H9: 3 => UNS
* INC # D9: 3 # G9: 2,9 => UNS
* INC # D9: 3 # G9: 7,8 => UNS
* INC # D9: 3 # C9: 2,9 => UNS
* INC # D9: 3 # C9: 1,7,8 => UNS
* INC # D9: 3 # H2: 2,9 => UNS
* INC # D9: 3 # H4: 2,9 => UNS
* INC # D9: 3 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for F8,D9: 3..:

* INC # F8: 3 # E1: 1,4 => UNS
* INC # F8: 3 # E1: 2 => UNS
* INC # F8: 3 # F5: 1,4 => UNS
* INC # F8: 3 # F5: 6,7 => UNS
* INC # F8: 3 # I8: 5,9 => UNS
* INC # F8: 3 # I8: 7,8 => UNS
* INC # F8: 3 # C8: 5,9 => UNS
* INC # F8: 3 # C8: 6,7,8 => UNS
* INC # F8: 3 # H4: 5,9 => UNS
* INC # F8: 3 # H6: 5,9 => UNS
* INC # F8: 3 => UNS
* INC # D9: 3 # G9: 2,9 => UNS
* INC # D9: 3 # G9: 7,8 => UNS
* INC # D9: 3 # C9: 2,9 => UNS
* INC # D9: 3 # C9: 1,7,8 => UNS
* INC # D9: 3 # H2: 2,9 => UNS
* INC # D9: 3 # H4: 2,9 => UNS
* INC # D9: 3 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for H1,H2: 1..:

* INC # H1: 1 # A3: 2,5 => UNS
* INC # H1: 1 # B3: 2,5 => UNS
* INC # H1: 1 # I1: 2,5 => UNS
* INC # H1: 1 # I1: 3,4 => UNS
* INC # H1: 1 # C4: 2,5 => UNS
* INC # H1: 1 # C5: 2,5 => UNS
* INC # H1: 1 # C7: 2,5 => UNS
* INC # H1: 1 # E2: 2,4 => UNS
* INC # H1: 1 # E2: 1,6 => UNS
* INC # H1: 1 # I1: 2,4 => UNS
* INC # H1: 1 # I1: 3,5 => UNS
* INC # H1: 1 # F2: 3,4 => UNS
* INC # H1: 1 # F2: 1,6,9 => UNS
* INC # H1: 1 # I1: 3,4 => UNS
* INC # H1: 1 # I1: 2,5 => UNS
* INC # H1: 1 # F8: 3,4 => UNS
* INC # H1: 1 # F8: 6,7,8 => UNS
* INC # H1: 1 => UNS
* INC # H2: 1 # B2: 2,6 => UNS
* INC # H2: 1 # A3: 2,6 => UNS
* INC # H2: 1 # B3: 2,6 => UNS
* INC # H2: 1 # E2: 2,6 => UNS
* INC # H2: 1 # E2: 4 => UNS
* INC # H2: 1 # C4: 2,6 => UNS
* INC # H2: 1 # C5: 2,6 => UNS
* INC # H2: 1 # C7: 2,6 => UNS
* INC # H2: 1 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for E4,E6: 5..:

* INC # E6: 5 # C4: 6,8 => UNS
* INC # E6: 5 # C4: 1,2,5,7 => UNS
* INC # E6: 5 # D6: 6,8 => UNS
* INC # E6: 5 # D6: 4,9 => UNS
* INC # E6: 5 # A8: 6,8 => UNS
* INC # E6: 5 # A8: 5 => UNS
* DIS # E6: 5 # B4: 6,7 => CTR => B4: 1,2,5
* INC # E6: 5 + B4: 1,2,5 # C4: 6,7 => UNS
* INC # E6: 5 + B4: 1,2,5 # C5: 6,7 => UNS
* INC # E6: 5 + B4: 1,2,5 # B7: 6,7 => UNS
* INC # E6: 5 + B4: 1,2,5 # B8: 6,7 => UNS
* INC # E6: 5 + B4: 1,2,5 # H4: 6,9 => UNS
* INC # E6: 5 + B4: 1,2,5 # H4: 2,5 => UNS
* INC # E6: 5 + B4: 1,2,5 # D6: 6,9 => UNS
* INC # E6: 5 + B4: 1,2,5 # D6: 4,8 => UNS
* INC # E6: 5 + B4: 1,2,5 # C4: 6,8 => UNS
* INC # E6: 5 + B4: 1,2,5 # C4: 1,2,5,7 => UNS
* INC # E6: 5 + B4: 1,2,5 # D6: 6,8 => UNS
* INC # E6: 5 + B4: 1,2,5 # D6: 4,9 => UNS
* INC # E6: 5 + B4: 1,2,5 # A8: 6,8 => UNS
* INC # E6: 5 + B4: 1,2,5 # A8: 5 => UNS
* INC # E6: 5 + B4: 1,2,5 # C4: 6,7 => UNS
* INC # E6: 5 + B4: 1,2,5 # C5: 6,7 => UNS
* INC # E6: 5 + B4: 1,2,5 # B7: 6,7 => UNS
* INC # E6: 5 + B4: 1,2,5 # B8: 6,7 => UNS
* INC # E6: 5 + B4: 1,2,5 # H4: 6,9 => UNS
* INC # E6: 5 + B4: 1,2,5 # H4: 2,5 => UNS
* INC # E6: 5 + B4: 1,2,5 # D6: 6,9 => UNS
* INC # E6: 5 + B4: 1,2,5 # D6: 4,8 => UNS
* INC # E6: 5 + B4: 1,2,5 => UNS
* INC # E4: 5 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for A6,D6: 8..:

* INC # A6: 8 # B7: 5,6 => UNS
* INC # A6: 8 # C7: 5,6 => UNS
* INC # A6: 8 # B8: 5,6 => UNS
* INC # A6: 8 # C8: 5,6 => UNS
* INC # A6: 8 # A3: 5,6 => UNS
* INC # A6: 8 # A5: 5,6 => UNS
* INC # A6: 8 # B7: 1,2 => UNS
* INC # A6: 8 # C7: 1,2 => UNS
* INC # A6: 8 # B9: 1,2 => UNS
* INC # A6: 8 # C9: 1,2 => UNS
* INC # A6: 8 # A3: 1,2 => UNS
* INC # A6: 8 # A5: 1,2 => UNS
* INC # A6: 8 => UNS
* INC # D6: 8 # B4: 5,6 => UNS
* INC # D6: 8 # A5: 5,6 => UNS
* INC # D6: 8 # C5: 5,6 => UNS
* INC # D6: 8 # B6: 5,6 => UNS
* INC # D6: 8 # E6: 5,6 => UNS
* INC # D6: 8 # H6: 5,6 => UNS
* INC # D6: 8 # A3: 5,6 => UNS
* INC # D6: 8 # A8: 5,6 => UNS
* INC # D6: 8 # F7: 1,6 => UNS
* INC # D6: 8 # F7: 7,8 => UNS
* INC # D6: 8 # B7: 1,6 => UNS
* INC # D6: 8 # C7: 1,6 => UNS
* INC # D6: 8 # D3: 1,6 => UNS
* DIS # D6: 8 # D4: 1,6 => CTR => D4: 9
* INC # D6: 8 + D4: 9 # D5: 1,6 => UNS
* INC # D6: 8 + D4: 9 # F7: 1,6 => UNS
* INC # D6: 8 + D4: 9 # F7: 7,8 => UNS
* INC # D6: 8 + D4: 9 # B7: 1,6 => UNS
* INC # D6: 8 + D4: 9 # C7: 1,6 => UNS
* INC # D6: 8 + D4: 9 # D3: 1,6 => UNS
* INC # D6: 8 + D4: 9 # D5: 1,6 => UNS
* INC # D6: 8 + D4: 9 # B4: 5,6 => UNS
* INC # D6: 8 + D4: 9 # A5: 5,6 => UNS
* INC # D6: 8 + D4: 9 # C5: 5,6 => UNS
* INC # D6: 8 + D4: 9 # B6: 5,6 => UNS
* INC # D6: 8 + D4: 9 # E6: 5,6 => UNS
* INC # D6: 8 + D4: 9 # H6: 5,6 => UNS
* INC # D6: 8 + D4: 9 # A3: 5,6 => UNS
* INC # D6: 8 + D4: 9 # A8: 5,6 => UNS
* INC # D6: 8 + D4: 9 # F7: 1,6 => UNS
* INC # D6: 8 + D4: 9 # F7: 7,8 => UNS
* INC # D6: 8 + D4: 9 # B7: 1,6 => UNS
* INC # D6: 8 + D4: 9 # C7: 1,6 => UNS
* INC # D6: 8 + D4: 9 # D3: 1,6 => UNS
* INC # D6: 8 + D4: 9 # D5: 1,6 => UNS
* INC # D6: 8 + D4: 9 => UNS
* CNT  49 HDP CHAINS /  49 HYP OPENED

Full list of HDP chains traversed for C4,A6: 8..:

* INC # C4: 8 # B4: 5,6 => UNS
* INC # C4: 8 # A5: 5,6 => UNS
* INC # C4: 8 # C5: 5,6 => UNS
* INC # C4: 8 # B6: 5,6 => UNS
* INC # C4: 8 # E6: 5,6 => UNS
* INC # C4: 8 # H6: 5,6 => UNS
* INC # C4: 8 # A3: 5,6 => UNS
* INC # C4: 8 # A8: 5,6 => UNS
* INC # C4: 8 # F7: 1,6 => UNS
* INC # C4: 8 # F7: 7,8 => UNS
* INC # C4: 8 # B7: 1,6 => UNS
* INC # C4: 8 # C7: 1,6 => UNS
* INC # C4: 8 # D3: 1,6 => UNS
* DIS # C4: 8 # D4: 1,6 => CTR => D4: 9
* INC # C4: 8 + D4: 9 # D5: 1,6 => UNS
* INC # C4: 8 + D4: 9 # F7: 1,6 => UNS
* INC # C4: 8 + D4: 9 # F7: 7,8 => UNS
* INC # C4: 8 + D4: 9 # B7: 1,6 => UNS
* INC # C4: 8 + D4: 9 # C7: 1,6 => UNS
* INC # C4: 8 + D4: 9 # D3: 1,6 => UNS
* INC # C4: 8 + D4: 9 # D5: 1,6 => UNS
* INC # C4: 8 + D4: 9 # B4: 5,6 => UNS
* INC # C4: 8 + D4: 9 # A5: 5,6 => UNS
* INC # C4: 8 + D4: 9 # C5: 5,6 => UNS
* INC # C4: 8 + D4: 9 # B6: 5,6 => UNS
* INC # C4: 8 + D4: 9 # E6: 5,6 => UNS
* INC # C4: 8 + D4: 9 # H6: 5,6 => UNS
* INC # C4: 8 + D4: 9 # A3: 5,6 => UNS
* INC # C4: 8 + D4: 9 # A8: 5,6 => UNS
* INC # C4: 8 + D4: 9 # F7: 1,6 => UNS
* INC # C4: 8 + D4: 9 # F7: 7,8 => UNS
* INC # C4: 8 + D4: 9 # B7: 1,6 => UNS
* INC # C4: 8 + D4: 9 # C7: 1,6 => UNS
* INC # C4: 8 + D4: 9 # D3: 1,6 => UNS
* INC # C4: 8 + D4: 9 # D5: 1,6 => UNS
* INC # C4: 8 + D4: 9 => UNS
* INC # A6: 8 # B7: 5,6 => UNS
* INC # A6: 8 # C7: 5,6 => UNS
* INC # A6: 8 # B8: 5,6 => UNS
* INC # A6: 8 # C8: 5,6 => UNS
* INC # A6: 8 # A3: 5,6 => UNS
* INC # A6: 8 # A5: 5,6 => UNS
* INC # A6: 8 # B7: 1,2 => UNS
* INC # A6: 8 # C7: 1,2 => UNS
* INC # A6: 8 # B9: 1,2 => UNS
* INC # A6: 8 # C9: 1,2 => UNS
* INC # A6: 8 # A3: 1,2 => UNS
* INC # A6: 8 # A5: 1,2 => UNS
* INC # A6: 8 => UNS
* CNT  49 HDP CHAINS /  49 HYP OPENED

Full list of HDP chains traversed for H4,H6: 6..:

* INC # H6: 6 # C4: 5,8 => UNS
* INC # H6: 6 # C4: 1,2,6,7 => UNS
* INC # H6: 6 # A8: 5,8 => UNS
* INC # H6: 6 # A8: 6 => UNS
* DIS # H6: 6 # B4: 5,7 => CTR => B4: 1,2,6
* INC # H6: 6 + B4: 1,2,6 # C4: 5,7 => UNS
* INC # H6: 6 + B4: 1,2,6 # C5: 5,7 => UNS
* INC # H6: 6 + B4: 1,2,6 # E6: 5,7 => UNS
* INC # H6: 6 + B4: 1,2,6 # G6: 5,7 => UNS
* INC # H6: 6 + B4: 1,2,6 # B7: 5,7 => UNS
* INC # H6: 6 + B4: 1,2,6 # B8: 5,7 => UNS
* INC # H6: 6 + B4: 1,2,6 # C4: 5,8 => UNS
* INC # H6: 6 + B4: 1,2,6 # C4: 1,2,6,7 => UNS
* INC # H6: 6 + B4: 1,2,6 # A8: 5,8 => UNS
* INC # H6: 6 + B4: 1,2,6 # A8: 6 => UNS
* INC # H6: 6 + B4: 1,2,6 # C4: 5,7 => UNS
* INC # H6: 6 + B4: 1,2,6 # C5: 5,7 => UNS
* INC # H6: 6 + B4: 1,2,6 # E6: 5,7 => UNS
* INC # H6: 6 + B4: 1,2,6 # G6: 5,7 => UNS
* INC # H6: 6 + B4: 1,2,6 # B7: 5,7 => UNS
* INC # H6: 6 + B4: 1,2,6 # B8: 5,7 => UNS
* INC # H6: 6 + B4: 1,2,6 => UNS
* INC # H4: 6 # I4: 5,9 => UNS
* INC # H4: 6 # G6: 5,9 => UNS
* INC # H4: 6 # H8: 5,9 => UNS
* INC # H4: 6 # H8: 3 => UNS
* INC # H4: 6 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for E1,E2: 2..:

* DIS # E2: 2 # B2: 1,6 => CTR => B2: 3
* INC # E2: 2 + B2: 3 # A3: 1,6 => UNS
* INC # E2: 2 + B2: 3 # B3: 1,6 => UNS
* DIS # E2: 2 + B2: 3 # F2: 1,6 => CTR => F2: 4,9
* INC # E2: 2 + B2: 3 + F2: 4,9 # F1: 1,4 => UNS
* INC # E2: 2 + B2: 3 + F2: 4,9 # F1: 3 => UNS
* INC # E2: 2 + B2: 3 + F2: 4,9 # E9: 1,4 => UNS
* INC # E2: 2 + B2: 3 + F2: 4,9 # E9: 7 => UNS
* INC # E2: 2 + B2: 3 + F2: 4,9 # F1: 1,4 => UNS
* INC # E2: 2 + B2: 3 + F2: 4,9 # F1: 3 => UNS
* INC # E2: 2 + B2: 3 + F2: 4,9 # E9: 1,4 => UNS
* INC # E2: 2 + B2: 3 + F2: 4,9 # E9: 7 => UNS
* INC # E2: 2 + B2: 3 + F2: 4,9 # G2: 4,9 => UNS
* INC # E2: 2 + B2: 3 + F2: 4,9 # I2: 4,9 => UNS
* INC # E2: 2 + B2: 3 + F2: 4,9 => UNS
* INC # E1: 2 # A3: 1,5 => UNS
* INC # E1: 2 # B3: 1,5 => UNS
* INC # E1: 2 # H1: 1,5 => UNS
* INC # E1: 2 # H1: 3 => UNS
* INC # E1: 2 # C4: 1,5 => UNS
* INC # E1: 2 # C5: 1,5 => UNS
* INC # E1: 2 # C7: 1,5 => UNS
* INC # E1: 2 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for C8,C9: 9..:

* INC # C8: 9 # I8: 3,5 => UNS
* INC # C8: 9 # I8: 7,8 => UNS
* INC # C8: 9 # H1: 3,5 => UNS
* INC # C8: 9 # H1: 1,2 => UNS
* INC # C8: 9 => UNS
* INC # C9: 9 # H1: 2,3 => UNS
* INC # C9: 9 # H2: 2,3 => UNS
* INC # C9: 9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for B8,B9: 4..:

* INC # B8: 4 # F7: 6,7 => UNS
* INC # B8: 4 # F8: 6,7 => UNS
* INC # B8: 4 # C8: 6,7 => UNS
* INC # B8: 4 # C8: 5,8,9 => UNS
* INC # B8: 4 # E4: 6,7 => UNS
* INC # B8: 4 # E6: 6,7 => UNS
* INC # B8: 4 => UNS
* INC # B9: 4 # F7: 1,7 => UNS
* INC # B9: 4 # F7: 6,8 => UNS
* INC # B9: 4 # C9: 1,7 => UNS
* INC # B9: 4 # C9: 2,8,9 => UNS
* INC # B9: 4 # E4: 1,7 => UNS
* INC # B9: 4 # E4: 5,6 => UNS
* INC # B9: 4 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for B2,B3: 3..:

* INC # B3: 3 # G9: 2,9 => UNS
* INC # B3: 3 # G9: 7,8 => UNS
* INC # B3: 3 # C9: 2,9 => UNS
* INC # B3: 3 # C9: 1,7,8 => UNS
* INC # B3: 3 # H2: 2,9 => UNS
* INC # B3: 3 # H4: 2,9 => UNS
* INC # B3: 3 => UNS
* INC # B2: 3 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for G2,I2: 8..:

* INC # G2: 8 => UNS
* INC # I2: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for D3,D9: 3..:

* INC # D3: 3 # E1: 1,4 => UNS
* INC # D3: 3 # E1: 2 => UNS
* INC # D3: 3 # F5: 1,4 => UNS
* INC # D3: 3 # F5: 6,7 => UNS
* INC # D3: 3 # I8: 5,9 => UNS
* INC # D3: 3 # I8: 7,8 => UNS
* INC # D3: 3 # C8: 5,9 => UNS
* INC # D3: 3 # C8: 6,7,8 => UNS
* INC # D3: 3 # H4: 5,9 => UNS
* INC # D3: 3 # H6: 5,9 => UNS
* INC # D3: 3 # E1: 1,4 # A3: 2,5 => UNS
* INC # D3: 3 # E1: 1,4 # B3: 2,5 => UNS
* INC # D3: 3 # E1: 1,4 # C4: 2,5 => UNS
* INC # D3: 3 # E1: 1,4 # C5: 2,5 => UNS
* INC # D3: 3 # E1: 1,4 # C7: 2,5 => UNS
* INC # D3: 3 # E1: 1,4 # E9: 1,4 => UNS
* INC # D3: 3 # E1: 1,4 # E9: 7 => UNS
* INC # D3: 3 # E1: 1,4 # F5: 1,4 => UNS
* INC # D3: 3 # E1: 1,4 # F5: 7 => UNS
* INC # D3: 3 # E1: 1,4 # G3: 2,5 => UNS
* INC # D3: 3 # E1: 1,4 # I3: 2,5 => UNS
* INC # D3: 3 # E1: 1,4 # H4: 2,5 => UNS
* INC # D3: 3 # E1: 1,4 # H4: 6,9 => UNS
* INC # D3: 3 # E1: 1,4 # I8: 5,9 => UNS
* INC # D3: 3 # E1: 1,4 # I8: 7,8 => UNS
* INC # D3: 3 # E1: 1,4 # C8: 5,9 => UNS
* INC # D3: 3 # E1: 1,4 # C8: 7,8 => UNS
* INC # D3: 3 # E1: 1,4 # H4: 5,9 => UNS
* INC # D3: 3 # E1: 1,4 # H6: 5,9 => UNS
* INC # D3: 3 # E1: 1,4 => UNS
* INC # D3: 3 # E1: 2 # A3: 1,5 => UNS
* INC # D3: 3 # E1: 2 # B3: 1,5 => UNS
* INC # D3: 3 # E1: 2 # C4: 1,5 => UNS
* INC # D3: 3 # E1: 2 # C5: 1,5 => UNS
* INC # D3: 3 # E1: 2 # C7: 1,5 => UNS
* PRF # D3: 3 # E1: 2 # F2: 1,6 => SOL
* STA # D3: 3 # E1: 2 + F2: 1,6
* CNT  36 HDP CHAINS /  38 HYP OPENED