Analysis of xx-ph-00254202-12_12_03-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: ........1..1..2..3.4..5..6......7....8..4..9.7..3..2....56...4...8.9.....6...4..9 initial

Autosolve

position: ........1..1..2..3.4..5..6......7....8..4..9.7..3..2....56...4.4.8.9.....6...4..9 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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for G5,I5: 7..:

* DIS # G5: 7 # A5: 5,6 => CTR => A5: 1,2,3
* CNT   1 HDP CHAINS /  47 HYP OPENED

List of important HDP chains detected for D3,F3: 1..:

* DIS # F3: 1 # E7: 3,8 => CTR => E7: 1,2,7
* CNT   1 HDP CHAINS /  36 HYP OPENED

List of important HDP chains detected for A7,B7: 9..:

* DIS # B7: 9 # F6: 1,5 => CTR => F6: 6,8,9
* CNT   1 HDP CHAINS /  27 HYP OPENED

List of important HDP chains detected for A2,E2: 6..:

* DIS # E2: 6 # D4: 1,8 => CTR => D4: 2,5,9
* DIS # E2: 6 + D4: 2,5,9 # F6: 1,8 => CTR => F6: 5,6,9
* CNT   2 HDP CHAINS /  25 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: 0:00:44.302798

List of important HDP chains detected for G5,I5: 7..:

* DIS # I5: 7 # H1: 5,7 # F3: 1,3 => CTR => F3: 8,9
* PRF # I5: 7 # H1: 5,7 + F3: 8,9 # E7: 1,3 => SOL
* STA # I5: 7 # H1: 5,7 + F3: 8,9 + E7: 1,3
* CNT   2 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

........1..1..2..3.4..5..6......7....8..4..9.7..3..2....56...4...8.9.....6...4..9 initial
........1..1..2..3.4..5..6......7....8..4..9.7..3..2....56...4.4.8.9.....6...4..9 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D3,F3: 1.. / D3 = 1  =>  1 pairs (_) / F3 = 1  =>  3 pairs (_)
H1,I3: 2.. / H1 = 2  =>  1 pairs (_) / I3 = 2  =>  1 pairs (_)
D1,D2: 4.. / D1 = 4  =>  0 pairs (_) / D2 = 4  =>  0 pairs (_)
G1,G2: 4.. / G1 = 4  =>  0 pairs (_) / G2 = 4  =>  0 pairs (_)
C4,C6: 4.. / C4 = 4  =>  1 pairs (_) / C6 = 4  =>  0 pairs (_)
I4,I6: 4.. / I4 = 4  =>  0 pairs (_) / I6 = 4  =>  1 pairs (_)
D1,G1: 4.. / D1 = 4  =>  0 pairs (_) / G1 = 4  =>  0 pairs (_)
D2,G2: 4.. / D2 = 4  =>  0 pairs (_) / G2 = 4  =>  0 pairs (_)
C4,I4: 4.. / C4 = 4  =>  1 pairs (_) / I4 = 4  =>  0 pairs (_)
C6,I6: 4.. / C6 = 4  =>  0 pairs (_) / I6 = 4  =>  1 pairs (_)
G8,I8: 6.. / G8 = 6  =>  0 pairs (_) / I8 = 6  =>  2 pairs (_)
A2,E2: 6.. / A2 = 6  =>  1 pairs (_) / E2 = 6  =>  1 pairs (_)
G5,I5: 7.. / G5 = 7  =>  2 pairs (_) / I5 = 7  =>  3 pairs (_)
D4,F6: 9.. / D4 = 9  =>  0 pairs (_) / F6 = 9  =>  2 pairs (_)
A7,B7: 9.. / A7 = 9  =>  0 pairs (_) / B7 = 9  =>  2 pairs (_)
* DURATION: 0:00:09.702980  START: 01:56:15.062889  END: 01:56:24.765869 2020-12-24
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G5,I5: 7.. / G5 = 7 ==>  2 pairs (_) / I5 = 7 ==>  3 pairs (_)
D3,F3: 1.. / D3 = 1 ==>  1 pairs (_) / F3 = 1 ==>  3 pairs (_)
A7,B7: 9.. / A7 = 9 ==>  0 pairs (_) / B7 = 9 ==>  2 pairs (_)
D4,F6: 9.. / D4 = 9 ==>  0 pairs (_) / F6 = 9 ==>  2 pairs (_)
G8,I8: 6.. / G8 = 6 ==>  0 pairs (_) / I8 = 6 ==>  2 pairs (_)
A2,E2: 6.. / A2 = 6 ==>  1 pairs (_) / E2 = 6 ==>  2 pairs (_)
H1,I3: 2.. / H1 = 2 ==>  1 pairs (_) / I3 = 2 ==>  1 pairs (_)
C6,I6: 4.. / C6 = 4 ==>  0 pairs (_) / I6 = 4 ==>  1 pairs (_)
C4,I4: 4.. / C4 = 4 ==>  1 pairs (_) / I4 = 4 ==>  0 pairs (_)
I4,I6: 4.. / I4 = 4 ==>  0 pairs (_) / I6 = 4 ==>  1 pairs (_)
C4,C6: 4.. / C4 = 4 ==>  1 pairs (_) / C6 = 4 ==>  0 pairs (_)
D2,G2: 4.. / D2 = 4 ==>  0 pairs (_) / G2 = 4 ==>  0 pairs (_)
D1,G1: 4.. / D1 = 4 ==>  0 pairs (_) / G1 = 4 ==>  0 pairs (_)
G1,G2: 4.. / G1 = 4 ==>  0 pairs (_) / G2 = 4 ==>  0 pairs (_)
D1,D2: 4.. / D1 = 4 ==>  0 pairs (_) / D2 = 4 ==>  0 pairs (_)
* DURATION: 0:01:37.568258  START: 01:56:24.766609  END: 01:58:02.334867 2020-12-24
* REASONING G5,I5: 7..
* DIS # G5: 7 # A5: 5,6 => CTR => A5: 1,2,3
* CNT   1 HDP CHAINS /  47 HYP OPENED
* REASONING D3,F3: 1..
* DIS # F3: 1 # E7: 3,8 => CTR => E7: 1,2,7
* CNT   1 HDP CHAINS /  36 HYP OPENED
* REASONING A7,B7: 9..
* DIS # B7: 9 # F6: 1,5 => CTR => F6: 6,8,9
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING A2,E2: 6..
* DIS # E2: 6 # D4: 1,8 => CTR => D4: 2,5,9
* DIS # E2: 6 + D4: 2,5,9 # F6: 1,8 => CTR => F6: 5,6,9
* CNT   2 HDP CHAINS /  25 HYP OPENED
* DCP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
G5,I5: 7.. / G5 = 7  =>  0 pairs (X) / I5 = 7 ==>  0 pairs (*)
* DURATION: 0:00:44.300718  START: 01:58:02.532799  END: 01:58:46.833517 2020-12-24
* REASONING G5,I5: 7..
* DIS # I5: 7 # H1: 5,7 # F3: 1,3 => CTR => F3: 8,9
* PRF # I5: 7 # H1: 5,7 + F3: 8,9 # E7: 1,3 => SOL
* STA # I5: 7 # H1: 5,7 + F3: 8,9 + E7: 1,3
* CNT   2 HDP CHAINS /  54 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

254202;12_12_03;dob;22;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G5,I5: 7..:

* INC # I5: 7 # H1: 2,8 => UNS
* INC # I5: 7 # H1: 5,7 => UNS
* INC # I5: 7 # A3: 2,8 => UNS
* INC # I5: 7 # A3: 3,9 => UNS
* INC # I5: 7 # H9: 2,8 => UNS
* INC # I5: 7 # H9: 1,3,5,7 => UNS
* INC # I5: 7 # E7: 2,8 => UNS
* INC # I5: 7 # E7: 1,3,7 => UNS
* INC # I5: 7 # G8: 5,6 => UNS
* INC # I5: 7 # G8: 1,3,7 => UNS
* INC # I5: 7 # I4: 5,6 => UNS
* INC # I5: 7 # I6: 5,6 => UNS
* INC # I5: 7 => UNS
* INC # G5: 7 # G1: 8,9 => UNS
* INC # G5: 7 # G2: 8,9 => UNS
* INC # G5: 7 # A3: 8,9 => UNS
* INC # G5: 7 # D3: 8,9 => UNS
* INC # G5: 7 # F3: 8,9 => UNS
* INC # G5: 7 # G4: 5,6 => UNS
* INC # G5: 7 # I4: 5,6 => UNS
* INC # G5: 7 # I6: 5,6 => UNS
* DIS # G5: 7 # A5: 5,6 => CTR => A5: 1,2,3
* INC # G5: 7 + A5: 1,2,3 # F5: 5,6 => UNS
* INC # G5: 7 + A5: 1,2,3 # F5: 5,6 => UNS
* INC # G5: 7 + A5: 1,2,3 # F5: 1 => UNS
* INC # G5: 7 + A5: 1,2,3 # I8: 5,6 => UNS
* INC # G5: 7 + A5: 1,2,3 # I8: 2,7 => UNS
* INC # G5: 7 + A5: 1,2,3 # G4: 5,6 => UNS
* INC # G5: 7 + A5: 1,2,3 # I4: 5,6 => UNS
* INC # G5: 7 + A5: 1,2,3 # I6: 5,6 => UNS
* INC # G5: 7 + A5: 1,2,3 # F5: 5,6 => UNS
* INC # G5: 7 + A5: 1,2,3 # F5: 1 => UNS
* INC # G5: 7 + A5: 1,2,3 # I8: 5,6 => UNS
* INC # G5: 7 + A5: 1,2,3 # I8: 2,7 => UNS
* INC # G5: 7 + A5: 1,2,3 # G1: 8,9 => UNS
* INC # G5: 7 + A5: 1,2,3 # G2: 8,9 => UNS
* INC # G5: 7 + A5: 1,2,3 # A3: 8,9 => UNS
* INC # G5: 7 + A5: 1,2,3 # D3: 8,9 => UNS
* INC # G5: 7 + A5: 1,2,3 # F3: 8,9 => UNS
* INC # G5: 7 + A5: 1,2,3 # G4: 5,6 => UNS
* INC # G5: 7 + A5: 1,2,3 # I4: 5,6 => UNS
* INC # G5: 7 + A5: 1,2,3 # I6: 5,6 => UNS
* INC # G5: 7 + A5: 1,2,3 # F5: 5,6 => UNS
* INC # G5: 7 + A5: 1,2,3 # F5: 1 => UNS
* INC # G5: 7 + A5: 1,2,3 # I8: 5,6 => UNS
* INC # G5: 7 + A5: 1,2,3 # I8: 2,7 => UNS
* INC # G5: 7 + A5: 1,2,3 => UNS
* CNT  47 HDP CHAINS /  47 HYP OPENED

Full list of HDP chains traversed for D3,F3: 1..:

* INC # F3: 1 # F6: 5,6 => UNS
* INC # F3: 1 # F6: 8,9 => UNS
* INC # F3: 1 # A5: 5,6 => UNS
* INC # F3: 1 # G5: 5,6 => UNS
* INC # F3: 1 # I5: 5,6 => UNS
* DIS # F3: 1 # E7: 3,8 => CTR => E7: 1,2,7
* INC # F3: 1 + E7: 1,2,7 # E9: 3,8 => UNS
* INC # F3: 1 + E7: 1,2,7 # E9: 3,8 => UNS
* INC # F3: 1 + E7: 1,2,7 # E9: 1,2,7 => UNS
* INC # F3: 1 + E7: 1,2,7 # G7: 3,8 => UNS
* INC # F3: 1 + E7: 1,2,7 # G7: 1,7 => UNS
* INC # F3: 1 + E7: 1,2,7 # F1: 3,8 => UNS
* INC # F3: 1 + E7: 1,2,7 # F1: 6,9 => UNS
* INC # F3: 1 + E7: 1,2,7 # G8: 3,5 => UNS
* INC # F3: 1 + E7: 1,2,7 # H8: 3,5 => UNS
* INC # F3: 1 + E7: 1,2,7 # F6: 5,6 => UNS
* INC # F3: 1 + E7: 1,2,7 # F6: 8,9 => UNS
* INC # F3: 1 + E7: 1,2,7 # A5: 5,6 => UNS
* INC # F3: 1 + E7: 1,2,7 # G5: 5,6 => UNS
* INC # F3: 1 + E7: 1,2,7 # I5: 5,6 => UNS
* INC # F3: 1 + E7: 1,2,7 # E9: 3,8 => UNS
* INC # F3: 1 + E7: 1,2,7 # E9: 1,2,7 => UNS
* INC # F3: 1 + E7: 1,2,7 # G7: 3,8 => UNS
* INC # F3: 1 + E7: 1,2,7 # G7: 1,7 => UNS
* INC # F3: 1 + E7: 1,2,7 # F1: 3,8 => UNS
* INC # F3: 1 + E7: 1,2,7 # F1: 6,9 => UNS
* INC # F3: 1 + E7: 1,2,7 # G8: 3,5 => UNS
* INC # F3: 1 + E7: 1,2,7 # H8: 3,5 => UNS
* INC # F3: 1 + E7: 1,2,7 => UNS
* INC # D3: 1 # D4: 2,5 => UNS
* INC # D3: 1 # D4: 8,9 => UNS
* INC # D3: 1 # A5: 2,5 => UNS
* INC # D3: 1 # A5: 1,3,6 => UNS
* INC # D3: 1 # D8: 2,5 => UNS
* INC # D3: 1 # D9: 2,5 => UNS
* INC # D3: 1 => UNS
* CNT  36 HDP CHAINS /  36 HYP OPENED

Full list of HDP chains traversed for A7,B7: 9..:

* INC # B7: 9 # B1: 5,7 => UNS
* INC # B7: 9 # B1: 2,3 => UNS
* INC # B7: 9 # G2: 5,7 => UNS
* INC # B7: 9 # H2: 5,7 => UNS
* INC # B7: 9 # A4: 1,5 => UNS
* INC # B7: 9 # B4: 1,5 => UNS
* INC # B7: 9 # A5: 1,5 => UNS
* DIS # B7: 9 # F6: 1,5 => CTR => F6: 6,8,9
* INC # B7: 9 + F6: 6,8,9 # H6: 1,5 => UNS
* INC # B7: 9 + F6: 6,8,9 # H6: 1,5 => UNS
* INC # B7: 9 + F6: 6,8,9 # H6: 8 => UNS
* INC # B7: 9 + F6: 6,8,9 # A4: 1,5 => UNS
* INC # B7: 9 + F6: 6,8,9 # B4: 1,5 => UNS
* INC # B7: 9 + F6: 6,8,9 # A5: 1,5 => UNS
* INC # B7: 9 + F6: 6,8,9 # H6: 1,5 => UNS
* INC # B7: 9 + F6: 6,8,9 # H6: 8 => UNS
* INC # B7: 9 + F6: 6,8,9 # B1: 5,7 => UNS
* INC # B7: 9 + F6: 6,8,9 # B1: 2,3 => UNS
* INC # B7: 9 + F6: 6,8,9 # G2: 5,7 => UNS
* INC # B7: 9 + F6: 6,8,9 # H2: 5,7 => UNS
* INC # B7: 9 + F6: 6,8,9 # A4: 1,5 => UNS
* INC # B7: 9 + F6: 6,8,9 # B4: 1,5 => UNS
* INC # B7: 9 + F6: 6,8,9 # A5: 1,5 => UNS
* INC # B7: 9 + F6: 6,8,9 # H6: 1,5 => UNS
* INC # B7: 9 + F6: 6,8,9 # H6: 8 => UNS
* INC # B7: 9 + F6: 6,8,9 => UNS
* INC # A7: 9 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for D4,F6: 9..:

* INC # F6: 9 # A4: 1,5 => UNS
* INC # F6: 9 # B4: 1,5 => UNS
* INC # F6: 9 # A5: 1,5 => UNS
* INC # F6: 9 # H6: 1,5 => UNS
* INC # F6: 9 # H6: 8 => UNS
* INC # F6: 9 # C4: 4,6 => UNS
* INC # F6: 9 # C4: 2,3,9 => UNS
* INC # F6: 9 # I6: 4,6 => UNS
* INC # F6: 9 # I6: 5,8 => UNS
* INC # F6: 9 => UNS
* INC # D4: 9 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for G8,I8: 6..:

* INC # I8: 6 # G4: 1,8 => UNS
* INC # I8: 6 # H4: 1,8 => UNS
* INC # I8: 6 # E6: 1,8 => UNS
* INC # I8: 6 # F6: 1,8 => UNS
* INC # I8: 6 # H9: 1,8 => UNS
* INC # I8: 6 # H9: 2,3,5,7 => UNS
* INC # I8: 6 => UNS
* INC # G8: 6 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for A2,E2: 6..:

* INC # A2: 6 # D1: 7,8 => UNS
* INC # A2: 6 # E1: 7,8 => UNS
* INC # A2: 6 # D2: 7,8 => UNS
* INC # A2: 6 # D3: 7,8 => UNS
* INC # A2: 6 # G2: 7,8 => UNS
* INC # A2: 6 # H2: 7,8 => UNS
* INC # A2: 6 # E7: 7,8 => UNS
* INC # A2: 6 # E9: 7,8 => UNS
* INC # A2: 6 => UNS
* DIS # E2: 6 # D4: 1,8 => CTR => D4: 2,5,9
* INC # E2: 6 + D4: 2,5,9 # E4: 1,8 => UNS
* DIS # E2: 6 + D4: 2,5,9 # F6: 1,8 => CTR => F6: 5,6,9
* INC # E2: 6 + D4: 2,5,9 + F6: 5,6,9 # E4: 1,8 => UNS
* INC # E2: 6 + D4: 2,5,9 + F6: 5,6,9 # E4: 2 => UNS
* INC # E2: 6 + D4: 2,5,9 + F6: 5,6,9 # H6: 1,8 => UNS
* INC # E2: 6 + D4: 2,5,9 + F6: 5,6,9 # H6: 5 => UNS
* INC # E2: 6 + D4: 2,5,9 + F6: 5,6,9 # B1: 3,7 => UNS
* INC # E2: 6 + D4: 2,5,9 + F6: 5,6,9 # C1: 3,7 => UNS
* INC # E2: 6 + D4: 2,5,9 + F6: 5,6,9 # E7: 3,7 => UNS
* INC # E2: 6 + D4: 2,5,9 + F6: 5,6,9 # E9: 3,7 => UNS
* INC # E2: 6 + D4: 2,5,9 + F6: 5,6,9 # E4: 1,8 => UNS
* INC # E2: 6 + D4: 2,5,9 + F6: 5,6,9 # E4: 2 => UNS
* INC # E2: 6 + D4: 2,5,9 + F6: 5,6,9 # H6: 1,8 => UNS
* INC # E2: 6 + D4: 2,5,9 + F6: 5,6,9 # H6: 5 => UNS
* INC # E2: 6 + D4: 2,5,9 + F6: 5,6,9 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for H1,I3: 2..:

* INC # H1: 2 # G1: 7,8 => UNS
* INC # H1: 2 # G2: 7,8 => UNS
* INC # H1: 2 # H2: 7,8 => UNS
* INC # H1: 2 # G3: 7,8 => UNS
* INC # H1: 2 # D3: 7,8 => UNS
* INC # H1: 2 # D3: 1,9 => UNS
* INC # H1: 2 # I7: 7,8 => UNS
* INC # H1: 2 # I7: 2 => UNS
* INC # H1: 2 => UNS
* INC # I3: 2 # G7: 7,8 => UNS
* INC # I3: 2 # G9: 7,8 => UNS
* INC # I3: 2 # H9: 7,8 => UNS
* INC # I3: 2 # E7: 7,8 => UNS
* INC # I3: 2 # E7: 1,2,3 => UNS
* INC # I3: 2 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for C6,I6: 4..:

* INC # I6: 4 # A4: 6,9 => UNS
* INC # I6: 4 # A4: 1,2,3,5 => UNS
* INC # I6: 4 # F6: 6,9 => UNS
* INC # I6: 4 # F6: 1,5,8 => UNS
* INC # I6: 4 # C1: 6,9 => UNS
* INC # I6: 4 # C1: 2,3,7 => UNS
* INC # I6: 4 => UNS
* INC # C6: 4 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for C4,I4: 4..:

* INC # C4: 4 # A4: 6,9 => UNS
* INC # C4: 4 # A4: 1,2,3,5 => UNS
* INC # C4: 4 # F6: 6,9 => UNS
* INC # C4: 4 # F6: 1,5,8 => UNS
* INC # C4: 4 # C1: 6,9 => UNS
* INC # C4: 4 # C1: 2,3,7 => UNS
* INC # C4: 4 => UNS
* INC # I4: 4 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for I4,I6: 4..:

* INC # I6: 4 # A4: 6,9 => UNS
* INC # I6: 4 # A4: 1,2,3,5 => UNS
* INC # I6: 4 # F6: 6,9 => UNS
* INC # I6: 4 # F6: 1,5,8 => UNS
* INC # I6: 4 # C1: 6,9 => UNS
* INC # I6: 4 # C1: 2,3,7 => UNS
* INC # I6: 4 => UNS
* INC # I4: 4 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for C4,C6: 4..:

* INC # C4: 4 # A4: 6,9 => UNS
* INC # C4: 4 # A4: 1,2,3,5 => UNS
* INC # C4: 4 # F6: 6,9 => UNS
* INC # C4: 4 # F6: 1,5,8 => UNS
* INC # C4: 4 # C1: 6,9 => UNS
* INC # C4: 4 # C1: 2,3,7 => UNS
* INC # C4: 4 => UNS
* INC # C6: 4 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for D2,G2: 4..:

* INC # D2: 4 => UNS
* INC # G2: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for D1,G1: 4..:

* INC # D1: 4 => UNS
* INC # G1: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for G1,G2: 4..:

* INC # G1: 4 => UNS
* INC # G2: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for D1,D2: 4..:

* INC # D1: 4 => UNS
* INC # D2: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for G5,I5: 7..:

* INC # I5: 7 # H1: 2,8 => UNS
* INC # I5: 7 # H1: 5,7 => UNS
* INC # I5: 7 # A3: 2,8 => UNS
* INC # I5: 7 # A3: 3,9 => UNS
* INC # I5: 7 # H9: 2,8 => UNS
* INC # I5: 7 # H9: 1,3,5,7 => UNS
* INC # I5: 7 # E7: 2,8 => UNS
* INC # I5: 7 # E7: 1,3,7 => UNS
* INC # I5: 7 # G8: 5,6 => UNS
* INC # I5: 7 # G8: 1,3,7 => UNS
* INC # I5: 7 # I4: 5,6 => UNS
* INC # I5: 7 # I6: 5,6 => UNS
* INC # I5: 7 # H1: 2,8 # A1: 2,8 => UNS
* INC # I5: 7 # H1: 2,8 # A1: 3,5,6,9 => UNS
* INC # I5: 7 # H1: 2,8 # H9: 2,8 => UNS
* INC # I5: 7 # H1: 2,8 # H9: 1,3,5,7 => UNS
* INC # I5: 7 # H1: 2,8 # G1: 5,7 => UNS
* INC # I5: 7 # H1: 2,8 # G2: 5,7 => UNS
* INC # I5: 7 # H1: 2,8 # B2: 5,7 => UNS
* INC # I5: 7 # H1: 2,8 # B2: 9 => UNS
* INC # I5: 7 # H1: 2,8 # H8: 5,7 => UNS
* INC # I5: 7 # H1: 2,8 # H9: 5,7 => UNS
* INC # I5: 7 # H1: 2,8 # G1: 7,9 => UNS
* INC # I5: 7 # H1: 2,8 # G2: 7,9 => UNS
* INC # I5: 7 # H1: 2,8 # C3: 7,9 => UNS
* INC # I5: 7 # H1: 2,8 # D3: 7,9 => UNS
* INC # I5: 7 # H1: 2,8 # A3: 2,8 => UNS
* INC # I5: 7 # H1: 2,8 # A3: 3,9 => UNS
* INC # I5: 7 # H1: 2,8 # H9: 2,8 => UNS
* INC # I5: 7 # H1: 2,8 # H9: 1,3,5,7 => UNS
* INC # I5: 7 # H1: 2,8 # E7: 2,8 => UNS
* INC # I5: 7 # H1: 2,8 # E7: 1,3,7 => UNS
* INC # I5: 7 # H1: 2,8 # G8: 5,6 => UNS
* INC # I5: 7 # H1: 2,8 # G8: 1,3,7 => UNS
* INC # I5: 7 # H1: 2,8 # I4: 5,6 => UNS
* INC # I5: 7 # H1: 2,8 # I6: 5,6 => UNS
* INC # I5: 7 # H1: 2,8 => UNS
* INC # I5: 7 # H1: 5,7 # G1: 5,7 => UNS
* INC # I5: 7 # H1: 5,7 # G2: 5,7 => UNS
* INC # I5: 7 # H1: 5,7 # H2: 5,7 => UNS
* INC # I5: 7 # H1: 5,7 # B1: 5,7 => UNS
* INC # I5: 7 # H1: 5,7 # B1: 2,3,9 => UNS
* INC # I5: 7 # H1: 5,7 # H8: 5,7 => UNS
* INC # I5: 7 # H1: 5,7 # H9: 5,7 => UNS
* INC # I5: 7 # H1: 5,7 # E7: 1,3 => UNS
* INC # I5: 7 # H1: 5,7 # F8: 1,3 => UNS
* INC # I5: 7 # H1: 5,7 # E9: 1,3 => UNS
* INC # I5: 7 # H1: 5,7 # A7: 1,3 => UNS
* INC # I5: 7 # H1: 5,7 # B7: 1,3 => UNS
* INC # I5: 7 # H1: 5,7 # G7: 1,3 => UNS
* DIS # I5: 7 # H1: 5,7 # F3: 1,3 => CTR => F3: 8,9
* PRF # I5: 7 # H1: 5,7 + F3: 8,9 # E7: 1,3 => SOL
* STA # I5: 7 # H1: 5,7 + F3: 8,9 + E7: 1,3
* CNT  52 HDP CHAINS /  54 HYP OPENED