Analysis of xx-ph-00000515-H27-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: ....1...5.2.4...9...3...7...4...6.......49.8....8....2..7...1...6.9...2.5.......3 initial

Autosolve

position: ....1.2.5.2.4...9...3.9.7...4...6.......49.8....8....2..7...1...6.9...2.5.......3 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

Time used: 0:00:00.000007

List of important HDP chains detected for H1,G2: 3..:

* DIS # G2: 3 # H3: 4,6 => CTR => H3: 1
* DIS # G2: 3 + H3: 1 # H6: 4,6 => CTR => H6: 3,5,7
* DIS # H1: 3 # E2: 6,8 => CTR => E2: 3,5,7
* CNT   3 HDP CHAINS /  79 HYP OPENED

List of important HDP chains detected for I8,H9: 7..:

* DIS # H9: 7 # F8: 4,8 => CTR => F8: 1,3,5,7
* CNT   1 HDP CHAINS /  38 HYP OPENED

List of important HDP chains detected for H7,G8: 5..:

* DIS # G8: 5 # G6: 3,9 => CTR => G6: 4,6
* 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: 0:00:34.577391

List of important HDP chains detected for G6,H6: 4..:

* DIS # H6: 4 # G2: 3,6 # C5: 1,5 => CTR => C5: 2
* DIS # H6: 4 # G2: 3,6 + C5: 2 => CTR => G2: 8
* DIS # H6: 4 + G2: 8 # A1: 6,7 => CTR => A1: 4,8,9
* DIS # H6: 4 + G2: 8 + A1: 4,8,9 # B1: 9 => CTR => B1: 7,8
* PRF # H6: 4 + G2: 8 + A1: 4,8,9 + B1: 7,8 # A3: 8 => SOL
* STA # H6: 4 + G2: 8 + A1: 4,8,9 + B1: 7,8 + A3: 8
* CNT   5 HDP CHAINS /  36 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

....1...5.2.4...9...3...7...4...6.......49.8....8....2..7...1...6.9...2.5.......3 initial
....1.2.5.2.4...9...3.9.7...4...6.......49.8....8....2..7...1...6.9...2.5.......3 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D3,F3: 2.. / D3 = 2  =>  1 pairs (_) / F3 = 2  =>  1 pairs (_)
A7,C9: 2.. / A7 = 2  =>  0 pairs (_) / C9 = 2  =>  0 pairs (_)
H1,G2: 3.. / H1 = 3  =>  3 pairs (_) / G2 = 3  =>  4 pairs (_)
G6,H6: 4.. / G6 = 4  =>  1 pairs (_) / H6 = 4  =>  5 pairs (_)
C2,B3: 5.. / C2 = 5  =>  3 pairs (_) / B3 = 5  =>  2 pairs (_)
H7,G8: 5.. / H7 = 5  =>  1 pairs (_) / G8 = 5  =>  3 pairs (_)
I8,H9: 7.. / I8 = 7  =>  3 pairs (_) / H9 = 7  =>  1 pairs (_)
A4,C4: 8.. / A4 = 8  =>  0 pairs (_) / C4 = 8  =>  1 pairs (_)
I7,G9: 9.. / I7 = 9  =>  2 pairs (_) / G9 = 9  =>  2 pairs (_)
I4,I7: 9.. / I4 = 9  =>  2 pairs (_) / I7 = 9  =>  2 pairs (_)
* DURATION: 0:00:05.659727  START: 06:22:46.471459  END: 06:22:52.131186 2020-10-26
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G6,H6: 4.. / G6 = 4 ==>  1 pairs (_) / H6 = 4 ==>  5 pairs (_)
H1,G2: 3.. / H1 = 3 ==>  3 pairs (_) / G2 = 3 ==>  7 pairs (_)
C2,B3: 5.. / C2 = 5 ==>  3 pairs (_) / B3 = 5 ==>  2 pairs (_)
I8,H9: 7.. / I8 = 7 ==>  3 pairs (_) / H9 = 7 ==>  1 pairs (_)
H7,G8: 5.. / H7 = 5 ==>  1 pairs (_) / G8 = 5 ==>  4 pairs (_)
I4,I7: 9.. / I4 = 9 ==>  2 pairs (_) / I7 = 9 ==>  2 pairs (_)
I7,G9: 9.. / I7 = 9 ==>  2 pairs (_) / G9 = 9 ==>  2 pairs (_)
D3,F3: 2.. / D3 = 2 ==>  1 pairs (_) / F3 = 2 ==>  1 pairs (_)
A4,C4: 8.. / A4 = 8 ==>  0 pairs (_) / C4 = 8 ==>  1 pairs (_)
A7,C9: 2.. / A7 = 2 ==>  0 pairs (_) / C9 = 2 ==>  0 pairs (_)
* DURATION: 0:01:48.387192  START: 06:22:52.131744  END: 06:24:40.518936 2020-10-26
* REASONING H1,G2: 3..
* DIS # G2: 3 # H3: 4,6 => CTR => H3: 1
* DIS # G2: 3 + H3: 1 # H6: 4,6 => CTR => H6: 3,5,7
* DIS # H1: 3 # E2: 6,8 => CTR => E2: 3,5,7
* CNT   3 HDP CHAINS /  79 HYP OPENED
* REASONING I8,H9: 7..
* DIS # H9: 7 # F8: 4,8 => CTR => F8: 1,3,5,7
* CNT   1 HDP CHAINS /  38 HYP OPENED
* REASONING H7,G8: 5..
* DIS # G8: 5 # G6: 3,9 => CTR => G6: 4,6
* CNT   1 HDP CHAINS /  37 HYP OPENED
* DCP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
G6,H6: 4.. / G6 = 4  =>  0 pairs (X) / H6 = 4 ==>  0 pairs (*)
* DURATION: 0:00:34.573913  START: 06:24:40.644970  END: 06:25:15.218883 2020-10-26
* REASONING G6,H6: 4..
* DIS # H6: 4 # G2: 3,6 # C5: 1,5 => CTR => C5: 2
* DIS # H6: 4 # G2: 3,6 + C5: 2 => CTR => G2: 8
* DIS # H6: 4 + G2: 8 # A1: 6,7 => CTR => A1: 4,8,9
* DIS # H6: 4 + G2: 8 + A1: 4,8,9 # B1: 9 => CTR => B1: 7,8
* PRF # H6: 4 + G2: 8 + A1: 4,8,9 + B1: 7,8 # A3: 8 => SOL
* STA # H6: 4 + G2: 8 + A1: 4,8,9 + B1: 7,8 + A3: 8
* CNT   5 HDP CHAINS /  36 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

515;H27;col;21;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G6,H6: 4..:

* INC # H6: 4 # G2: 3,6 => UNS
* INC # H6: 4 # G2: 8 => UNS
* INC # H6: 4 # D1: 3,6 => UNS
* INC # H6: 4 # D1: 7 => UNS
* INC # H6: 4 # I2: 1,6 => UNS
* INC # H6: 4 # I2: 8 => UNS
* INC # H6: 4 # A3: 1,6 => UNS
* INC # H6: 4 # A3: 8 => UNS
* INC # H6: 4 # D7: 5,6 => UNS
* INC # H6: 4 # E7: 5,6 => UNS
* INC # H6: 4 # E8: 7,8 => UNS
* INC # H6: 4 # E8: 3,5 => UNS
* INC # H6: 4 # D9: 6,7 => UNS
* INC # H6: 4 # E9: 6,7 => UNS
* INC # H6: 4 => UNS
* INC # G6: 4 # E8: 5,8 => UNS
* INC # G6: 4 # F8: 5,8 => UNS
* INC # G6: 4 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for H1,G2: 3..:

* DIS # G2: 3 # H3: 4,6 => CTR => H3: 1
* INC # G2: 3 + H3: 1 # I3: 4,6 => UNS
* INC # G2: 3 + H3: 1 # I3: 4,6 => UNS
* INC # G2: 3 + H3: 1 # I3: 8 => UNS
* INC # G2: 3 + H3: 1 # A1: 4,6 => UNS
* INC # G2: 3 + H3: 1 # C1: 4,6 => UNS
* DIS # G2: 3 + H3: 1 # H6: 4,6 => CTR => H6: 3,5,7
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # H7: 4,6 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # H9: 4,6 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # I3: 4,6 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # I3: 8 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # A1: 4,6 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # C1: 4,6 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # H7: 4,6 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # H9: 4,6 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # H9: 4,7 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # H9: 6 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # F8: 4,7 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # F8: 1,3,5,8 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # C2: 5,8 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # C2: 1,6 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # F3: 5,8 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # F3: 2 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # I3: 4,6 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # I3: 8 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # A1: 4,6 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # C1: 4,6 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # H7: 4,6 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # H9: 4,6 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # I3: 6,8 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # I3: 4 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # A2: 6,8 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # C2: 6,8 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # E2: 6,8 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # E8: 5,8 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # F8: 5,8 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # H9: 4,7 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # H9: 6 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # F8: 4,7 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 # F8: 1,3,5,8 => UNS
* INC # G2: 3 + H3: 1 + H6: 3,5,7 => UNS
* INC # H1: 3 # E2: 6,7 => UNS
* INC # H1: 3 # E2: 3,5,8 => UNS
* INC # H1: 3 # A1: 6,7 => UNS
* INC # H1: 3 # A1: 4,8,9 => UNS
* INC # H1: 3 # D9: 6,7 => UNS
* INC # H1: 3 # D9: 1,2 => UNS
* INC # H1: 3 # E2: 7,8 => UNS
* INC # H1: 3 # F2: 7,8 => UNS
* INC # H1: 3 # A1: 7,8 => UNS
* INC # H1: 3 # B1: 7,8 => UNS
* INC # H1: 3 # F8: 7,8 => UNS
* INC # H1: 3 # F9: 7,8 => UNS
* INC # H1: 3 # I2: 6,8 => UNS
* INC # H1: 3 # I3: 6,8 => UNS
* INC # H1: 3 # A2: 6,8 => UNS
* INC # H1: 3 # C2: 6,8 => UNS
* DIS # H1: 3 # E2: 6,8 => CTR => E2: 3,5,7
* INC # H1: 3 + E2: 3,5,7 # G9: 6,8 => UNS
* INC # H1: 3 + E2: 3,5,7 # G9: 4,9 => UNS
* INC # H1: 3 + E2: 3,5,7 # I2: 6,8 => UNS
* INC # H1: 3 + E2: 3,5,7 # I3: 6,8 => UNS
* INC # H1: 3 + E2: 3,5,7 # A2: 6,8 => UNS
* INC # H1: 3 + E2: 3,5,7 # C2: 6,8 => UNS
* INC # H1: 3 + E2: 3,5,7 # G9: 6,8 => UNS
* INC # H1: 3 + E2: 3,5,7 # G9: 4,9 => UNS
* INC # H1: 3 + E2: 3,5,7 # A1: 6,7 => UNS
* INC # H1: 3 + E2: 3,5,7 # A1: 4,8,9 => UNS
* INC # H1: 3 + E2: 3,5,7 # F2: 7,8 => UNS
* INC # H1: 3 + E2: 3,5,7 # F2: 3,5 => UNS
* INC # H1: 3 + E2: 3,5,7 # A1: 7,8 => UNS
* INC # H1: 3 + E2: 3,5,7 # B1: 7,8 => UNS
* INC # H1: 3 + E2: 3,5,7 # I2: 6,8 => UNS
* INC # H1: 3 + E2: 3,5,7 # I3: 6,8 => UNS
* INC # H1: 3 + E2: 3,5,7 # A2: 6,8 => UNS
* INC # H1: 3 + E2: 3,5,7 # C2: 6,8 => UNS
* INC # H1: 3 + E2: 3,5,7 # G9: 6,8 => UNS
* INC # H1: 3 + E2: 3,5,7 # G9: 4,9 => UNS
* INC # H1: 3 + E2: 3,5,7 => UNS
* CNT  79 HDP CHAINS /  79 HYP OPENED

Full list of HDP chains traversed for C2,B3: 5..:

* INC # C2: 5 # A2: 1,8 => UNS
* INC # C2: 5 # A3: 1,8 => UNS
* INC # C2: 5 # I3: 1,8 => UNS
* INC # C2: 5 # I3: 4,6 => UNS
* INC # C2: 5 # B9: 1,8 => UNS
* INC # C2: 5 # B9: 9 => UNS
* INC # C2: 5 # D4: 2,5 => UNS
* INC # C2: 5 # D5: 2,5 => UNS
* INC # C2: 5 # D7: 2,5 => UNS
* INC # C2: 5 # F7: 2,5 => UNS
* INC # C2: 5 # F7: 3,4,8 => UNS
* INC # C2: 5 => UNS
* INC # B3: 5 # D7: 2,6 => UNS
* INC # B3: 5 # D9: 2,6 => UNS
* INC # B3: 5 # F7: 2,8 => UNS
* INC # B3: 5 # F9: 2,8 => UNS
* INC # B3: 5 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for I8,H9: 7..:

* INC # I8: 7 # A4: 1,9 => UNS
* INC # I8: 7 # C4: 1,9 => UNS
* INC # I8: 7 # H6: 1,6 => UNS
* INC # I8: 7 # H6: 3,4,5,7 => UNS
* INC # I8: 7 # A5: 1,6 => UNS
* INC # I8: 7 # C5: 1,6 => UNS
* INC # I8: 7 # I2: 1,6 => UNS
* INC # I8: 7 # I3: 1,6 => UNS
* INC # I8: 7 # H7: 4,6 => UNS
* INC # I8: 7 # I7: 4,6 => UNS
* INC # I8: 7 # G9: 4,6 => UNS
* INC # I8: 7 # H1: 4,6 => UNS
* INC # I8: 7 # H3: 4,6 => UNS
* INC # I8: 7 # H6: 4,6 => UNS
* INC # I8: 7 => UNS
* INC # H9: 7 # I7: 4,8 => UNS
* INC # H9: 7 # G8: 4,8 => UNS
* INC # H9: 7 # G9: 4,8 => UNS
* INC # H9: 7 # A8: 4,8 => UNS
* INC # H9: 7 # C8: 4,8 => UNS
* DIS # H9: 7 # F8: 4,8 => CTR => F8: 1,3,5,7
* INC # H9: 7 + F8: 1,3,5,7 # I3: 4,8 => UNS
* INC # H9: 7 + F8: 1,3,5,7 # I3: 1,6 => UNS
* INC # H9: 7 + F8: 1,3,5,7 # I7: 4,8 => UNS
* INC # H9: 7 + F8: 1,3,5,7 # G8: 4,8 => UNS
* INC # H9: 7 + F8: 1,3,5,7 # G9: 4,8 => UNS
* INC # H9: 7 + F8: 1,3,5,7 # A8: 4,8 => UNS
* INC # H9: 7 + F8: 1,3,5,7 # C8: 4,8 => UNS
* INC # H9: 7 + F8: 1,3,5,7 # I3: 4,8 => UNS
* INC # H9: 7 + F8: 1,3,5,7 # I3: 1,6 => UNS
* INC # H9: 7 + F8: 1,3,5,7 # I7: 4,8 => UNS
* INC # H9: 7 + F8: 1,3,5,7 # G8: 4,8 => UNS
* INC # H9: 7 + F8: 1,3,5,7 # G9: 4,8 => UNS
* INC # H9: 7 + F8: 1,3,5,7 # A8: 4,8 => UNS
* INC # H9: 7 + F8: 1,3,5,7 # C8: 4,8 => UNS
* INC # H9: 7 + F8: 1,3,5,7 # I3: 4,8 => UNS
* INC # H9: 7 + F8: 1,3,5,7 # I3: 1,6 => UNS
* INC # H9: 7 + F8: 1,3,5,7 => UNS
* CNT  38 HDP CHAINS /  38 HYP OPENED

Full list of HDP chains traversed for H7,G8: 5..:

* DIS # G8: 5 # G6: 3,9 => CTR => G6: 4,6
* INC # G8: 5 + G6: 4,6 # H6: 3,6 => UNS
* INC # G8: 5 + G6: 4,6 # H6: 1,4,5,7 => UNS
* INC # G8: 5 + G6: 4,6 # A5: 3,6 => UNS
* INC # G8: 5 + G6: 4,6 # A5: 1,2,7 => UNS
* INC # G8: 5 + G6: 4,6 # G2: 3,6 => UNS
* INC # G8: 5 + G6: 4,6 # G2: 8 => UNS
* INC # G8: 5 + G6: 4,6 # I7: 4,6 => UNS
* INC # G8: 5 + G6: 4,6 # G9: 4,6 => UNS
* INC # G8: 5 + G6: 4,6 # H9: 4,6 => UNS
* INC # G8: 5 + G6: 4,6 # H1: 4,6 => UNS
* INC # G8: 5 + G6: 4,6 # H3: 4,6 => UNS
* INC # G8: 5 + G6: 4,6 # H6: 4,6 => UNS
* INC # G8: 5 + G6: 4,6 # H6: 3,6 => UNS
* INC # G8: 5 + G6: 4,6 # H6: 1,4,5,7 => UNS
* INC # G8: 5 + G6: 4,6 # A5: 3,6 => UNS
* INC # G8: 5 + G6: 4,6 # A5: 1,2,7 => UNS
* INC # G8: 5 + G6: 4,6 # G2: 3,6 => UNS
* INC # G8: 5 + G6: 4,6 # G2: 8 => UNS
* INC # G8: 5 + G6: 4,6 # H6: 4,6 => UNS
* INC # G8: 5 + G6: 4,6 # H6: 1,3,5,7 => UNS
* INC # G8: 5 + G6: 4,6 # G9: 4,6 => UNS
* INC # G8: 5 + G6: 4,6 # G9: 8,9 => UNS
* INC # G8: 5 + G6: 4,6 # I7: 4,6 => UNS
* INC # G8: 5 + G6: 4,6 # G9: 4,6 => UNS
* INC # G8: 5 + G6: 4,6 # H9: 4,6 => UNS
* INC # G8: 5 + G6: 4,6 # H1: 4,6 => UNS
* INC # G8: 5 + G6: 4,6 # H3: 4,6 => UNS
* INC # G8: 5 + G6: 4,6 # H6: 4,6 => UNS
* INC # G8: 5 + G6: 4,6 => UNS
* INC # H7: 5 # I7: 4,8 => UNS
* INC # H7: 5 # I8: 4,8 => UNS
* INC # H7: 5 # G9: 4,8 => UNS
* INC # H7: 5 # A8: 4,8 => UNS
* INC # H7: 5 # C8: 4,8 => UNS
* INC # H7: 5 # F8: 4,8 => UNS
* INC # H7: 5 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for I4,I7: 9..:

* INC # I4: 9 # H4: 3,5 => UNS
* INC # I4: 9 # G5: 3,5 => UNS
* INC # I4: 9 # G6: 3,5 => UNS
* INC # I4: 9 # H6: 3,5 => UNS
* INC # I4: 9 # D4: 3,5 => UNS
* INC # I4: 9 # E4: 3,5 => UNS
* INC # I4: 9 # A8: 1,8 => UNS
* INC # I4: 9 # C8: 1,8 => UNS
* INC # I4: 9 # C9: 1,8 => UNS
* INC # I4: 9 # F9: 1,8 => UNS
* INC # I4: 9 # F9: 2,4,7 => UNS
* INC # I4: 9 # B3: 1,8 => UNS
* INC # I4: 9 # B3: 5 => UNS
* INC # I4: 9 => UNS
* INC # I7: 9 # H4: 1,7 => UNS
* INC # I7: 9 # I5: 1,7 => UNS
* INC # I7: 9 # H6: 1,7 => UNS
* INC # I7: 9 # A4: 1,7 => UNS
* INC # I7: 9 # D4: 1,7 => UNS
* INC # I7: 9 # A7: 3,8 => UNS
* INC # I7: 9 # A8: 3,8 => UNS
* INC # I7: 9 # E7: 3,8 => UNS
* INC # I7: 9 # F7: 3,8 => UNS
* INC # I7: 9 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for I7,G9: 9..:

* INC # I7: 9 # H4: 1,7 => UNS
* INC # I7: 9 # I5: 1,7 => UNS
* INC # I7: 9 # H6: 1,7 => UNS
* INC # I7: 9 # A4: 1,7 => UNS
* INC # I7: 9 # D4: 1,7 => UNS
* INC # I7: 9 # A7: 3,8 => UNS
* INC # I7: 9 # A8: 3,8 => UNS
* INC # I7: 9 # E7: 3,8 => UNS
* INC # I7: 9 # F7: 3,8 => UNS
* INC # I7: 9 => UNS
* INC # G9: 9 # H4: 3,5 => UNS
* INC # G9: 9 # G5: 3,5 => UNS
* INC # G9: 9 # G6: 3,5 => UNS
* INC # G9: 9 # H6: 3,5 => UNS
* INC # G9: 9 # D4: 3,5 => UNS
* INC # G9: 9 # E4: 3,5 => UNS
* INC # G9: 9 # A8: 1,8 => UNS
* INC # G9: 9 # C8: 1,8 => UNS
* INC # G9: 9 # C9: 1,8 => UNS
* INC # G9: 9 # F9: 1,8 => UNS
* INC # G9: 9 # F9: 2,4,7 => UNS
* INC # G9: 9 # B3: 1,8 => UNS
* INC # G9: 9 # B3: 5 => UNS
* INC # G9: 9 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for D3,F3: 2..:

* INC # D3: 2 # E2: 5,8 => UNS
* INC # D3: 2 # F2: 5,8 => UNS
* INC # D3: 2 # B3: 5,8 => UNS
* INC # D3: 2 # B3: 1 => UNS
* INC # D3: 2 # F7: 5,8 => UNS
* INC # D3: 2 # F8: 5,8 => UNS
* INC # D3: 2 => UNS
* INC # F3: 2 # E2: 5,6 => UNS
* INC # F3: 2 # E2: 3,7,8 => UNS
* INC # F3: 2 # D7: 5,6 => UNS
* INC # F3: 2 # D7: 2,3 => UNS
* INC # F3: 2 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for A4,C4: 8..:

* INC # C4: 8 # A8: 1,4 => UNS
* INC # C4: 8 # C9: 1,4 => UNS
* INC # C4: 8 # F8: 1,4 => UNS
* INC # C4: 8 # F8: 3,5,7,8 => UNS
* INC # C4: 8 => UNS
* INC # A4: 8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for A7,C9: 2..:

* INC # A7: 2 => UNS
* INC # C9: 2 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for G6,H6: 4..:

* INC # H6: 4 # G2: 3,6 => UNS
* INC # H6: 4 # G2: 8 => UNS
* INC # H6: 4 # D1: 3,6 => UNS
* INC # H6: 4 # D1: 7 => UNS
* INC # H6: 4 # I2: 1,6 => UNS
* INC # H6: 4 # I2: 8 => UNS
* INC # H6: 4 # A3: 1,6 => UNS
* INC # H6: 4 # A3: 8 => UNS
* INC # H6: 4 # D7: 5,6 => UNS
* INC # H6: 4 # E7: 5,6 => UNS
* INC # H6: 4 # E8: 7,8 => UNS
* INC # H6: 4 # E8: 3,5 => UNS
* INC # H6: 4 # D9: 6,7 => UNS
* INC # H6: 4 # E9: 6,7 => UNS
* INC # H6: 4 # G2: 3,6 # A5: 1,7 => UNS
* INC # H6: 4 # G2: 3,6 # A6: 1,7 => UNS
* DIS # H6: 4 # G2: 3,6 # C5: 1,5 => CTR => C5: 2
* DIS # H6: 4 # G2: 3,6 + C5: 2 => CTR => G2: 8
* INC # H6: 4 + G2: 8 # E2: 6,7 => UNS
* INC # H6: 4 + G2: 8 # E2: 3,5 => UNS
* DIS # H6: 4 + G2: 8 # A1: 6,7 => CTR => A1: 4,8,9
* INC # H6: 4 + G2: 8 + A1: 4,8,9 # D9: 6,7 => UNS
* INC # H6: 4 + G2: 8 + A1: 4,8,9 # D9: 1,2 => UNS
* INC # H6: 4 + G2: 8 + A1: 4,8,9 # E2: 6,7 => UNS
* INC # H6: 4 + G2: 8 + A1: 4,8,9 # E2: 3,5 => UNS
* INC # H6: 4 + G2: 8 + A1: 4,8,9 # D9: 6,7 => UNS
* INC # H6: 4 + G2: 8 + A1: 4,8,9 # D9: 1,2 => UNS
* INC # H6: 4 + G2: 8 + A1: 4,8,9 # B1: 7,8 => UNS
* DIS # H6: 4 + G2: 8 + A1: 4,8,9 # B1: 9 => CTR => B1: 7,8
* INC # H6: 4 + G2: 8 + A1: 4,8,9 + B1: 7,8 # A2: 1,6 => UNS
* INC # H6: 4 + G2: 8 + A1: 4,8,9 + B1: 7,8 # C2: 1,6 => UNS
* INC # H6: 4 + G2: 8 + A1: 4,8,9 + B1: 7,8 # I5: 1,6 => UNS
* INC # H6: 4 + G2: 8 + A1: 4,8,9 + B1: 7,8 # I5: 7 => UNS
* INC # H6: 4 + G2: 8 + A1: 4,8,9 + B1: 7,8 # A3: 1,6 => UNS
* PRF # H6: 4 + G2: 8 + A1: 4,8,9 + B1: 7,8 # A3: 8 => SOL
* STA # H6: 4 + G2: 8 + A1: 4,8,9 + B1: 7,8 + A3: 8
* CNT  35 HDP CHAINS /  36 HYP OPENED