Analysis of xx-ph-01001146-13_07-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..7...5..9..4.6..7..4.8..3....2.4..8....7.....1...2....6....4..82.....74.. initial

Autosolve

position: 98.7..6..7...5..9..4.6..7..4.8..3....2.4..8....7....41..42...76.7..4..82.....74.. 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

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for E5,I5: 7..:

* DIS # I5: 7 # G4: 5,9 => CTR => G4: 2
* CNT   1 HDP CHAINS /  27 HYP OPENED

List of important HDP chains detected for E4,I4: 7..:

* DIS # E4: 7 # G4: 5,9 => CTR => G4: 2
* CNT   1 HDP CHAINS /  27 HYP OPENED

List of important HDP chains detected for I4,I5: 7..:

* DIS # I5: 7 # G4: 5,9 => CTR => G4: 2
* CNT   1 HDP CHAINS /  27 HYP OPENED

List of important HDP chains detected for E4,E5: 7..:

* DIS # E4: 7 # G4: 5,9 => CTR => G4: 2
* 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: 0:01:52.058550

List of important HDP chains detected for I2,I3: 8..:

* DIS # I2: 8 # E1: 3 # E9: 8,9 => CTR => E9: 1,6
* DIS # I2: 8 # E1: 3 + E9: 1,6 # I9: 3,5 => CTR => I9: 9
* DIS # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 # I5: 7 => CTR => I5: 3,5
* DIS # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 # A3: 3,5 => CTR => A3: 1,2
* DIS # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 # D6: 5,9 => CTR => D6: 8
* DIS # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 + D6: 8 # F6: 5,9 => CTR => F6: 6
* PRF # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 + D6: 8 + F6: 6 # D8: 5,9 => SOL
* STA # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 + D6: 8 + F6: 6 + D8: 5,9
* CNT   7 HDP CHAINS /  95 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..9..4.6..7..4.8..3....2.4..8....7.....1...2....6....4..82.....74.. initial
98.7..6..7...5..9..4.6..7..4.8..3....2.4..8....7....41..42...76.7..4..82.....74.. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A9,C9: 2.. / A9 = 2  =>  0 pairs (_) / C9 = 2  =>  0 pairs (_)
A3,A9: 2.. / A3 = 2  =>  0 pairs (_) / A9 = 2  =>  0 pairs (_)
F1,F2: 4.. / F1 = 4  =>  1 pairs (_) / F2 = 4  =>  2 pairs (_)
I1,I2: 4.. / I1 = 4  =>  2 pairs (_) / I2 = 4  =>  1 pairs (_)
F1,I1: 4.. / F1 = 4  =>  1 pairs (_) / I1 = 4  =>  2 pairs (_)
F2,I2: 4.. / F2 = 4  =>  2 pairs (_) / I2 = 4  =>  1 pairs (_)
B2,C2: 6.. / B2 = 6  =>  0 pairs (_) / C2 = 6  =>  1 pairs (_)
H4,H5: 6.. / H4 = 6  =>  2 pairs (_) / H5 = 6  =>  1 pairs (_)
F8,E9: 6.. / F8 = 6  =>  0 pairs (_) / E9 = 6  =>  0 pairs (_)
E4,E5: 7.. / E4 = 7  =>  1 pairs (_) / E5 = 7  =>  0 pairs (_)
I4,I5: 7.. / I4 = 7  =>  0 pairs (_) / I5 = 7  =>  1 pairs (_)
E4,I4: 7.. / E4 = 7  =>  1 pairs (_) / I4 = 7  =>  0 pairs (_)
E5,I5: 7.. / E5 = 7  =>  0 pairs (_) / I5 = 7  =>  1 pairs (_)
I2,I3: 8.. / I2 = 8  =>  5 pairs (_) / I3 = 8  =>  1 pairs (_)
A7,A9: 8.. / A7 = 8  =>  0 pairs (_) / A9 = 8  =>  0 pairs (_)
E3,F3: 9.. / E3 = 9  =>  0 pairs (_) / F3 = 9  =>  0 pairs (_)
* DURATION: 0:00:14.833920  START: 03:53:17.951364  END: 03:53:32.785284 2021-01-08
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I2,I3: 8.. / I2 = 8 ==>  5 pairs (_) / I3 = 8 ==>  1 pairs (_)
H4,H5: 6.. / H4 = 6 ==>  2 pairs (_) / H5 = 6 ==>  1 pairs (_)
F2,I2: 4.. / F2 = 4 ==>  2 pairs (_) / I2 = 4 ==>  1 pairs (_)
F1,I1: 4.. / F1 = 4 ==>  1 pairs (_) / I1 = 4 ==>  2 pairs (_)
I1,I2: 4.. / I1 = 4 ==>  2 pairs (_) / I2 = 4 ==>  1 pairs (_)
F1,F2: 4.. / F1 = 4 ==>  1 pairs (_) / F2 = 4 ==>  2 pairs (_)
E5,I5: 7.. / E5 = 7 ==>  0 pairs (_) / I5 = 7 ==>  3 pairs (_)
E4,I4: 7.. / E4 = 7 ==>  3 pairs (_) / I4 = 7 ==>  0 pairs (_)
I4,I5: 7.. / I4 = 7 ==>  0 pairs (_) / I5 = 7 ==>  3 pairs (_)
E4,E5: 7.. / E4 = 7 ==>  3 pairs (_) / E5 = 7 ==>  0 pairs (_)
B2,C2: 6.. / B2 = 6 ==>  0 pairs (_) / C2 = 6 ==>  1 pairs (_)
E3,F3: 9.. / E3 = 9 ==>  0 pairs (_) / F3 = 9 ==>  0 pairs (_)
A7,A9: 8.. / A7 = 8 ==>  0 pairs (_) / A9 = 8 ==>  0 pairs (_)
F8,E9: 6.. / F8 = 6 ==>  0 pairs (_) / E9 = 6 ==>  0 pairs (_)
A3,A9: 2.. / A3 = 2 ==>  0 pairs (_) / A9 = 2 ==>  0 pairs (_)
A9,C9: 2.. / A9 = 2 ==>  0 pairs (_) / C9 = 2 ==>  0 pairs (_)
* DURATION: 0:02:24.656882  START: 03:53:32.786058  END: 03:55:57.442940 2021-01-08
* REASONING E5,I5: 7..
* DIS # I5: 7 # G4: 5,9 => CTR => G4: 2
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING E4,I4: 7..
* DIS # E4: 7 # G4: 5,9 => CTR => G4: 2
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING I4,I5: 7..
* DIS # I5: 7 # G4: 5,9 => CTR => G4: 2
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING E4,E5: 7..
* DIS # E4: 7 # G4: 5,9 => CTR => G4: 2
* CNT   1 HDP CHAINS /  27 HYP OPENED
* DCP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
I2,I3: 8.. / I2 = 8 ==>  0 pairs (*) / I3 = 8  =>  0 pairs (X)
* DURATION: 0:01:52.055854  START: 03:55:57.673096  END: 03:57:49.728950 2021-01-08
* REASONING I2,I3: 8..
* DIS # I2: 8 # E1: 3 # E9: 8,9 => CTR => E9: 1,6
* DIS # I2: 8 # E1: 3 + E9: 1,6 # I9: 3,5 => CTR => I9: 9
* DIS # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 # I5: 7 => CTR => I5: 3,5
* DIS # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 # A3: 3,5 => CTR => A3: 1,2
* DIS # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 # D6: 5,9 => CTR => D6: 8
* DIS # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 + D6: 8 # F6: 5,9 => CTR => F6: 6
* PRF # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 + D6: 8 + F6: 6 # D8: 5,9 => SOL
* STA # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 + D6: 8 + F6: 6 + D8: 5,9
* CNT   7 HDP CHAINS /  95 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1001146;13_07;GP;25;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I2,I3: 8..:

* INC # I2: 8 # E1: 1,2 => UNS
* INC # I2: 8 # E1: 3 => UNS
* INC # I2: 8 # E1: 1,3 => UNS
* INC # I2: 8 # E1: 2 => UNS
* INC # I2: 8 # B2: 1,3 => UNS
* INC # I2: 8 # C2: 1,3 => UNS
* INC # I2: 8 # G2: 1,3 => UNS
* INC # I2: 8 # D8: 1,3 => UNS
* INC # I2: 8 # D9: 1,3 => UNS
* INC # I2: 8 # E6: 8,9 => UNS
* INC # I2: 8 # E7: 8,9 => UNS
* INC # I2: 8 # E9: 8,9 => UNS
* INC # I2: 8 # F6: 8,9 => UNS
* INC # I2: 8 # F7: 8,9 => UNS
* INC # I2: 8 # H1: 3,5 => UNS
* INC # I2: 8 # H3: 3,5 => UNS
* INC # I2: 8 # A3: 3,5 => UNS
* INC # I2: 8 # C3: 3,5 => UNS
* INC # I2: 8 # I5: 3,5 => UNS
* INC # I2: 8 # I9: 3,5 => UNS
* INC # I2: 8 => UNS
* INC # I3: 8 # I1: 3,4 => UNS
* INC # I3: 8 # I1: 5 => UNS
* INC # I3: 8 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for H4,H5: 6..:

* INC # H4: 6 # H1: 1,3 => UNS
* INC # H4: 6 # H3: 1,3 => UNS
* INC # H4: 6 # B2: 1,3 => UNS
* INC # H4: 6 # C2: 1,3 => UNS
* INC # H4: 6 # D2: 1,3 => UNS
* INC # H4: 6 # G7: 1,3 => UNS
* INC # H4: 6 # G8: 1,3 => UNS
* INC # H4: 6 # I5: 3,5 => UNS
* INC # H4: 6 # G6: 3,5 => UNS
* INC # H4: 6 # A5: 3,5 => UNS
* INC # H4: 6 # C5: 3,5 => UNS
* INC # H4: 6 # H1: 3,5 => UNS
* INC # H4: 6 # H3: 3,5 => UNS
* INC # H4: 6 # H9: 3,5 => UNS
* INC # H4: 6 => UNS
* INC # H5: 6 # G4: 2,5 => UNS
* INC # H5: 6 # G6: 2,5 => UNS
* INC # H5: 6 # H1: 2,5 => UNS
* INC # H5: 6 # H3: 2,5 => UNS
* INC # H5: 6 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for F2,I2: 4..:

* INC # F2: 4 # E1: 1,2 => UNS
* INC # F2: 4 # E3: 1,2 => UNS
* INC # F2: 4 # F3: 1,2 => UNS
* INC # F2: 4 # C1: 1,2 => UNS
* INC # F2: 4 # H1: 1,2 => UNS
* INC # F2: 4 # I3: 3,8 => UNS
* INC # F2: 4 # I3: 5 => UNS
* INC # F2: 4 # D2: 3,8 => UNS
* INC # F2: 4 # D2: 1 => UNS
* INC # F2: 4 => UNS
* INC # I2: 4 # H1: 3,5 => UNS
* INC # I2: 4 # H3: 3,5 => UNS
* INC # I2: 4 # C1: 3,5 => UNS
* INC # I2: 4 # C1: 1,2 => UNS
* INC # I2: 4 # I5: 3,5 => UNS
* INC # I2: 4 # I9: 3,5 => UNS
* INC # I2: 4 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for F1,I1: 4..:

* INC # I1: 4 # E1: 1,2 => UNS
* INC # I1: 4 # E3: 1,2 => UNS
* INC # I1: 4 # F3: 1,2 => UNS
* INC # I1: 4 # C1: 1,2 => UNS
* INC # I1: 4 # H1: 1,2 => UNS
* INC # I1: 4 # I3: 3,8 => UNS
* INC # I1: 4 # I3: 5 => UNS
* INC # I1: 4 # D2: 3,8 => UNS
* INC # I1: 4 # D2: 1 => UNS
* INC # I1: 4 => UNS
* INC # F1: 4 # H1: 3,5 => UNS
* INC # F1: 4 # H3: 3,5 => UNS
* INC # F1: 4 # C1: 3,5 => UNS
* INC # F1: 4 # C1: 1,2 => UNS
* INC # F1: 4 # I5: 3,5 => UNS
* INC # F1: 4 # I9: 3,5 => UNS
* INC # F1: 4 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for I1,I2: 4..:

* INC # I1: 4 # E1: 1,2 => UNS
* INC # I1: 4 # E3: 1,2 => UNS
* INC # I1: 4 # F3: 1,2 => UNS
* INC # I1: 4 # C1: 1,2 => UNS
* INC # I1: 4 # H1: 1,2 => UNS
* INC # I1: 4 # I3: 3,8 => UNS
* INC # I1: 4 # I3: 5 => UNS
* INC # I1: 4 # D2: 3,8 => UNS
* INC # I1: 4 # D2: 1 => UNS
* INC # I1: 4 => UNS
* INC # I2: 4 # H1: 3,5 => UNS
* INC # I2: 4 # H3: 3,5 => UNS
* INC # I2: 4 # C1: 3,5 => UNS
* INC # I2: 4 # C1: 1,2 => UNS
* INC # I2: 4 # I5: 3,5 => UNS
* INC # I2: 4 # I9: 3,5 => UNS
* INC # I2: 4 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for F1,F2: 4..:

* INC # F2: 4 # E1: 1,2 => UNS
* INC # F2: 4 # E3: 1,2 => UNS
* INC # F2: 4 # F3: 1,2 => UNS
* INC # F2: 4 # C1: 1,2 => UNS
* INC # F2: 4 # H1: 1,2 => UNS
* INC # F2: 4 # I3: 3,8 => UNS
* INC # F2: 4 # I3: 5 => UNS
* INC # F2: 4 # D2: 3,8 => UNS
* INC # F2: 4 # D2: 1 => UNS
* INC # F2: 4 => UNS
* INC # F1: 4 # H1: 3,5 => UNS
* INC # F1: 4 # H3: 3,5 => UNS
* INC # F1: 4 # C1: 3,5 => UNS
* INC # F1: 4 # C1: 1,2 => UNS
* INC # F1: 4 # I5: 3,5 => UNS
* INC # F1: 4 # I9: 3,5 => UNS
* INC # F1: 4 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for E5,I5: 7..:

* DIS # I5: 7 # G4: 5,9 => CTR => G4: 2
* INC # I5: 7 + G4: 2 # G6: 5,9 => UNS
* INC # I5: 7 + G4: 2 # G6: 5,9 => UNS
* INC # I5: 7 + G4: 2 # G6: 3 => UNS
* INC # I5: 7 + G4: 2 # B4: 5,9 => UNS
* INC # I5: 7 + G4: 2 # D4: 5,9 => UNS
* INC # I5: 7 + G4: 2 # I9: 5,9 => UNS
* INC # I5: 7 + G4: 2 # I9: 3 => UNS
* INC # I5: 7 + G4: 2 # H1: 1,3 => UNS
* INC # I5: 7 + G4: 2 # H3: 1,3 => UNS
* INC # I5: 7 + G4: 2 # B2: 1,3 => UNS
* INC # I5: 7 + G4: 2 # C2: 1,3 => UNS
* INC # I5: 7 + G4: 2 # D2: 1,3 => UNS
* INC # I5: 7 + G4: 2 # G7: 1,3 => UNS
* INC # I5: 7 + G4: 2 # G8: 1,3 => UNS
* INC # I5: 7 + G4: 2 # H5: 5,6 => UNS
* INC # I5: 7 + G4: 2 # H5: 3 => UNS
* INC # I5: 7 + G4: 2 # B4: 5,6 => UNS
* INC # I5: 7 + G4: 2 # B4: 1,9 => UNS
* INC # I5: 7 + G4: 2 # G6: 5,9 => UNS
* INC # I5: 7 + G4: 2 # G6: 3 => UNS
* INC # I5: 7 + G4: 2 # B4: 5,9 => UNS
* INC # I5: 7 + G4: 2 # D4: 5,9 => UNS
* INC # I5: 7 + G4: 2 # I9: 5,9 => UNS
* INC # I5: 7 + G4: 2 # I9: 3 => UNS
* INC # I5: 7 + G4: 2 => UNS
* INC # E5: 7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for E4,I4: 7..:

* DIS # E4: 7 # G4: 5,9 => CTR => G4: 2
* INC # E4: 7 + G4: 2 # G6: 5,9 => UNS
* INC # E4: 7 + G4: 2 # G6: 5,9 => UNS
* INC # E4: 7 + G4: 2 # G6: 3 => UNS
* INC # E4: 7 + G4: 2 # B4: 5,9 => UNS
* INC # E4: 7 + G4: 2 # D4: 5,9 => UNS
* INC # E4: 7 + G4: 2 # I9: 5,9 => UNS
* INC # E4: 7 + G4: 2 # I9: 3 => UNS
* INC # E4: 7 + G4: 2 # H1: 1,3 => UNS
* INC # E4: 7 + G4: 2 # H3: 1,3 => UNS
* INC # E4: 7 + G4: 2 # B2: 1,3 => UNS
* INC # E4: 7 + G4: 2 # C2: 1,3 => UNS
* INC # E4: 7 + G4: 2 # D2: 1,3 => UNS
* INC # E4: 7 + G4: 2 # G7: 1,3 => UNS
* INC # E4: 7 + G4: 2 # G8: 1,3 => UNS
* INC # E4: 7 + G4: 2 # H5: 5,6 => UNS
* INC # E4: 7 + G4: 2 # H5: 3 => UNS
* INC # E4: 7 + G4: 2 # B4: 5,6 => UNS
* INC # E4: 7 + G4: 2 # B4: 1,9 => UNS
* INC # E4: 7 + G4: 2 # G6: 5,9 => UNS
* INC # E4: 7 + G4: 2 # G6: 3 => UNS
* INC # E4: 7 + G4: 2 # B4: 5,9 => UNS
* INC # E4: 7 + G4: 2 # D4: 5,9 => UNS
* INC # E4: 7 + G4: 2 # I9: 5,9 => UNS
* INC # E4: 7 + G4: 2 # I9: 3 => UNS
* INC # E4: 7 + G4: 2 => UNS
* INC # I4: 7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for I4,I5: 7..:

* DIS # I5: 7 # G4: 5,9 => CTR => G4: 2
* INC # I5: 7 + G4: 2 # G6: 5,9 => UNS
* INC # I5: 7 + G4: 2 # G6: 5,9 => UNS
* INC # I5: 7 + G4: 2 # G6: 3 => UNS
* INC # I5: 7 + G4: 2 # B4: 5,9 => UNS
* INC # I5: 7 + G4: 2 # D4: 5,9 => UNS
* INC # I5: 7 + G4: 2 # I9: 5,9 => UNS
* INC # I5: 7 + G4: 2 # I9: 3 => UNS
* INC # I5: 7 + G4: 2 # H1: 1,3 => UNS
* INC # I5: 7 + G4: 2 # H3: 1,3 => UNS
* INC # I5: 7 + G4: 2 # B2: 1,3 => UNS
* INC # I5: 7 + G4: 2 # C2: 1,3 => UNS
* INC # I5: 7 + G4: 2 # D2: 1,3 => UNS
* INC # I5: 7 + G4: 2 # G7: 1,3 => UNS
* INC # I5: 7 + G4: 2 # G8: 1,3 => UNS
* INC # I5: 7 + G4: 2 # H5: 5,6 => UNS
* INC # I5: 7 + G4: 2 # H5: 3 => UNS
* INC # I5: 7 + G4: 2 # B4: 5,6 => UNS
* INC # I5: 7 + G4: 2 # B4: 1,9 => UNS
* INC # I5: 7 + G4: 2 # G6: 5,9 => UNS
* INC # I5: 7 + G4: 2 # G6: 3 => UNS
* INC # I5: 7 + G4: 2 # B4: 5,9 => UNS
* INC # I5: 7 + G4: 2 # D4: 5,9 => UNS
* INC # I5: 7 + G4: 2 # I9: 5,9 => UNS
* INC # I5: 7 + G4: 2 # I9: 3 => UNS
* INC # I5: 7 + G4: 2 => UNS
* INC # I4: 7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for E4,E5: 7..:

* DIS # E4: 7 # G4: 5,9 => CTR => G4: 2
* INC # E4: 7 + G4: 2 # G6: 5,9 => UNS
* INC # E4: 7 + G4: 2 # G6: 5,9 => UNS
* INC # E4: 7 + G4: 2 # G6: 3 => UNS
* INC # E4: 7 + G4: 2 # B4: 5,9 => UNS
* INC # E4: 7 + G4: 2 # D4: 5,9 => UNS
* INC # E4: 7 + G4: 2 # I9: 5,9 => UNS
* INC # E4: 7 + G4: 2 # I9: 3 => UNS
* INC # E4: 7 + G4: 2 # H1: 1,3 => UNS
* INC # E4: 7 + G4: 2 # H3: 1,3 => UNS
* INC # E4: 7 + G4: 2 # B2: 1,3 => UNS
* INC # E4: 7 + G4: 2 # C2: 1,3 => UNS
* INC # E4: 7 + G4: 2 # D2: 1,3 => UNS
* INC # E4: 7 + G4: 2 # G7: 1,3 => UNS
* INC # E4: 7 + G4: 2 # G8: 1,3 => UNS
* INC # E4: 7 + G4: 2 # H5: 5,6 => UNS
* INC # E4: 7 + G4: 2 # H5: 3 => UNS
* INC # E4: 7 + G4: 2 # B4: 5,6 => UNS
* INC # E4: 7 + G4: 2 # B4: 1,9 => UNS
* INC # E4: 7 + G4: 2 # G6: 5,9 => UNS
* INC # E4: 7 + G4: 2 # G6: 3 => UNS
* INC # E4: 7 + G4: 2 # B4: 5,9 => UNS
* INC # E4: 7 + G4: 2 # D4: 5,9 => UNS
* INC # E4: 7 + G4: 2 # I9: 5,9 => UNS
* INC # E4: 7 + G4: 2 # I9: 3 => UNS
* INC # E4: 7 + G4: 2 => UNS
* INC # E5: 7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for B2,C2: 6..:

* INC # C2: 6 # C1: 1,3 => UNS
* INC # C2: 6 # A3: 1,3 => UNS
* INC # C2: 6 # C3: 1,3 => UNS
* INC # C2: 6 # D2: 1,3 => UNS
* INC # C2: 6 # G2: 1,3 => UNS
* INC # C2: 6 # B7: 1,3 => UNS
* INC # C2: 6 # B9: 1,3 => UNS
* INC # C2: 6 => UNS
* INC # B2: 6 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for E3,F3: 9..:

* INC # E3: 9 => UNS
* INC # F3: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A7,A9: 8..:

* INC # A7: 8 => UNS
* INC # A9: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F8,E9: 6..:

* INC # F8: 6 => UNS
* INC # E9: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A3,A9: 2..:

* INC # A3: 2 => UNS
* INC # A9: 2 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A9,C9: 2..:

* INC # A9: 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 I2,I3: 8..:

* INC # I2: 8 # E1: 1,2 => UNS
* INC # I2: 8 # E1: 3 => UNS
* INC # I2: 8 # E1: 1,3 => UNS
* INC # I2: 8 # E1: 2 => UNS
* INC # I2: 8 # B2: 1,3 => UNS
* INC # I2: 8 # C2: 1,3 => UNS
* INC # I2: 8 # G2: 1,3 => UNS
* INC # I2: 8 # D8: 1,3 => UNS
* INC # I2: 8 # D9: 1,3 => UNS
* INC # I2: 8 # E6: 8,9 => UNS
* INC # I2: 8 # E7: 8,9 => UNS
* INC # I2: 8 # E9: 8,9 => UNS
* INC # I2: 8 # F6: 8,9 => UNS
* INC # I2: 8 # F7: 8,9 => UNS
* INC # I2: 8 # H1: 3,5 => UNS
* INC # I2: 8 # H3: 3,5 => UNS
* INC # I2: 8 # A3: 3,5 => UNS
* INC # I2: 8 # C3: 3,5 => UNS
* INC # I2: 8 # I5: 3,5 => UNS
* INC # I2: 8 # I9: 3,5 => UNS
* INC # I2: 8 # E1: 1,2 # A3: 3,5 => UNS
* INC # I2: 8 # E1: 1,2 # C3: 3,5 => UNS
* INC # I2: 8 # E1: 1,2 # C5: 3,5 => UNS
* INC # I2: 8 # E1: 1,2 # C8: 3,5 => UNS
* INC # I2: 8 # E1: 1,2 # C9: 3,5 => UNS
* INC # I2: 8 # E1: 1,2 # C2: 1,6 => UNS
* INC # I2: 8 # E1: 1,2 # C2: 2 => UNS
* INC # I2: 8 # E1: 1,2 # B4: 1,6 => UNS
* INC # I2: 8 # E1: 1,2 # B9: 1,6 => UNS
* INC # I2: 8 # E1: 1,2 # E4: 1,2 => UNS
* INC # I2: 8 # E1: 1,2 # E4: 6,7,9 => UNS
* INC # I2: 8 # E1: 1,2 # E6: 8,9 => UNS
* INC # I2: 8 # E1: 1,2 # E7: 8,9 => UNS
* INC # I2: 8 # E1: 1,2 # E9: 8,9 => UNS
* INC # I2: 8 # E1: 1,2 # F6: 8,9 => UNS
* INC # I2: 8 # E1: 1,2 # F7: 8,9 => UNS
* INC # I2: 8 # E1: 1,2 # H5: 3,5 => UNS
* INC # I2: 8 # E1: 1,2 # H9: 3,5 => UNS
* INC # I2: 8 # E1: 1,2 # C2: 1,2 => UNS
* INC # I2: 8 # E1: 1,2 # C2: 6 => UNS
* INC # I2: 8 # E1: 1,2 # A3: 1,2 => UNS
* INC # I2: 8 # E1: 1,2 # C3: 1,2 => UNS
* INC # I2: 8 # E1: 1,2 # A3: 3,5 => UNS
* INC # I2: 8 # E1: 1,2 # C3: 3,5 => UNS
* INC # I2: 8 # E1: 1,2 # I5: 3,5 => UNS
* INC # I2: 8 # E1: 1,2 # I9: 3,5 => UNS
* INC # I2: 8 # E1: 1,2 => UNS
* INC # I2: 8 # E1: 3 # A3: 1,5 => UNS
* INC # I2: 8 # E1: 3 # C3: 1,5 => UNS
* INC # I2: 8 # E1: 3 # C5: 1,5 => UNS
* INC # I2: 8 # E1: 3 # C8: 1,5 => UNS
* INC # I2: 8 # E1: 3 # C9: 1,5 => UNS
* INC # I2: 8 # E1: 3 # C2: 3,6 => UNS
* INC # I2: 8 # E1: 3 # C2: 2 => UNS
* INC # I2: 8 # E1: 3 # B6: 3,6 => UNS
* INC # I2: 8 # E1: 3 # B9: 3,6 => UNS
* INC # I2: 8 # E1: 3 # E6: 8,9 => UNS
* INC # I2: 8 # E1: 3 # E7: 8,9 => UNS
* DIS # I2: 8 # E1: 3 # E9: 8,9 => CTR => E9: 1,6
* INC # I2: 8 # E1: 3 + E9: 1,6 # E6: 8,9 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 # E7: 8,9 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 # F6: 8,9 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 # F7: 8,9 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 # H3: 1,5 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 # H3: 2,3 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 # H3: 2,3 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 # H3: 1,5 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 # C2: 2,3 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 # C2: 6 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 # G6: 2,3 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 # G6: 5,9 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 # H3: 3,5 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 # H3: 1,2 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 # A3: 3,5 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 # C3: 3,5 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 # I5: 3,5 => UNS
* DIS # I2: 8 # E1: 3 + E9: 1,6 # I9: 3,5 => CTR => I9: 9
* INC # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 # I5: 3,5 => UNS
* DIS # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 # I5: 7 => CTR => I5: 3,5
* INC # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 # H3: 3,5 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 # H3: 1,2 => UNS
* DIS # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 # A3: 3,5 => CTR => A3: 1,2
* INC # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 # C3: 3,5 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 # C3: 3,5 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 # C3: 1,2 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 # H3: 3,5 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 # H3: 1,2 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 # C3: 3,5 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 # C3: 1,2 => UNS
* INC # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 # F5: 5,9 => UNS
* DIS # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 # D6: 5,9 => CTR => D6: 8
* DIS # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 + D6: 8 # F6: 5,9 => CTR => F6: 6
* PRF # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 + D6: 8 + F6: 6 # D8: 5,9 => SOL
* STA # I2: 8 # E1: 3 + E9: 1,6 + I9: 9 + I5: 3,5 + A3: 1,2 + D6: 8 + F6: 6 + D8: 5,9
* CNT  93 HDP CHAINS /  95 HYP OPENED