Analysis of xx-ph-01001214-13_07-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..7...9..5..4.6..7...3.8..4....8.....2..7.41......4....7....83.4......63.. initial

Autosolve

position: 98.7..6..7...9..5..4.6..7...3.8..4..4.8.....2..7.41......4....7.7..83.4...4.763.. 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: 0:00:00.000016

List of important HDP chains detected for F5,H5: 7..:

* DIS # H5: 7 # D5: 5,9 => CTR => D5: 3
* CNT   1 HDP CHAINS /  27 HYP OPENED

List of important HDP chains detected for F4,H4: 7..:

* DIS # F4: 7 # D5: 5,9 => CTR => D5: 3
* CNT   1 HDP CHAINS /  27 HYP OPENED

List of important HDP chains detected for H4,H5: 7..:

* DIS # H5: 7 # D5: 5,9 => CTR => D5: 3
* CNT   1 HDP CHAINS /  27 HYP OPENED

List of important HDP chains detected for F4,F5: 7..:

* DIS # F4: 7 # D5: 5,9 => CTR => D5: 3
* 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: 0:01:07.608412

List of important HDP chains detected for F2,F3: 8..:

* DIS # F2: 8 # E3: 2,5 # B6: 2,6 => CTR => B6: 5,9
* DIS # F2: 8 # E3: 2,5 + B6: 5,9 # B7: 2,6 => CTR => B7: 1,5,9
* DIS # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 # F7: 2,5 => CTR => F7: 9
* DIS # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 # H9: 1 => CTR => H9: 8,9
* DIS # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 + H9: 8,9 # I6: 8,9 => CTR => I6: 5,6
* DIS # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 + H9: 8,9 + I6: 5,6 # I9: 8,9 => CTR => I9: 1
* PRF # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 + H9: 8,9 + I6: 5,6 + I9: 1 => SOL
* STA # F2: 8 + E3: 2,5
* CNT   7 HDP CHAINS /  62 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...9..5..4.6..7...3.8..4....8.....2..7.41......4....7....83.4......63.. initial
98.7..6..7...9..5..4.6..7...3.8..4..4.8.....2..7.41......4....7.7..83.4...4.763.. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A7,C7: 3.. / A7 = 3  =>  0 pairs (_) / C7 = 3  =>  0 pairs (_)
A3,A7: 3.. / A3 = 3  =>  0 pairs (_) / A7 = 3  =>  0 pairs (_)
F1,F2: 4.. / F1 = 4  =>  2 pairs (_) / F2 = 4  =>  1 pairs (_)
I1,I2: 4.. / I1 = 4  =>  1 pairs (_) / I2 = 4  =>  2 pairs (_)
F1,I1: 4.. / F1 = 4  =>  2 pairs (_) / I1 = 4  =>  1 pairs (_)
F2,I2: 4.. / F2 = 4  =>  1 pairs (_) / I2 = 4  =>  2 pairs (_)
B2,C2: 6.. / B2 = 6  =>  0 pairs (_) / C2 = 6  =>  1 pairs (_)
E4,E5: 6.. / E4 = 6  =>  1 pairs (_) / E5 = 6  =>  2 pairs (_)
H7,I8: 6.. / H7 = 6  =>  0 pairs (_) / I8 = 6  =>  0 pairs (_)
F4,F5: 7.. / F4 = 7  =>  1 pairs (_) / F5 = 7  =>  0 pairs (_)
H4,H5: 7.. / H4 = 7  =>  0 pairs (_) / H5 = 7  =>  1 pairs (_)
F4,H4: 7.. / F4 = 7  =>  1 pairs (_) / H4 = 7  =>  0 pairs (_)
F5,H5: 7.. / F5 = 7  =>  0 pairs (_) / H5 = 7  =>  1 pairs (_)
F2,F3: 8.. / F2 = 8  =>  5 pairs (_) / F3 = 8  =>  1 pairs (_)
A7,A9: 8.. / A7 = 8  =>  0 pairs (_) / A9 = 8  =>  0 pairs (_)
H3,I3: 9.. / H3 = 9  =>  0 pairs (_) / I3 = 9  =>  0 pairs (_)
* DURATION: 0:00:13.352234  START: 06:12:31.308956  END: 06:12:44.661190 2021-01-08
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F2,F3: 8.. / F2 = 8 ==>  5 pairs (_) / F3 = 8 ==>  1 pairs (_)
E4,E5: 6.. / E4 = 6 ==>  1 pairs (_) / E5 = 6 ==>  2 pairs (_)
F2,I2: 4.. / F2 = 4 ==>  1 pairs (_) / I2 = 4 ==>  2 pairs (_)
F1,I1: 4.. / F1 = 4 ==>  2 pairs (_) / I1 = 4 ==>  1 pairs (_)
I1,I2: 4.. / I1 = 4 ==>  1 pairs (_) / I2 = 4 ==>  2 pairs (_)
F1,F2: 4.. / F1 = 4 ==>  2 pairs (_) / F2 = 4 ==>  1 pairs (_)
F5,H5: 7.. / F5 = 7 ==>  0 pairs (_) / H5 = 7 ==>  3 pairs (_)
F4,H4: 7.. / F4 = 7 ==>  3 pairs (_) / H4 = 7 ==>  0 pairs (_)
H4,H5: 7.. / H4 = 7 ==>  0 pairs (_) / H5 = 7 ==>  3 pairs (_)
F4,F5: 7.. / F4 = 7 ==>  3 pairs (_) / F5 = 7 ==>  0 pairs (_)
B2,C2: 6.. / B2 = 6 ==>  0 pairs (_) / C2 = 6 ==>  1 pairs (_)
H3,I3: 9.. / H3 = 9 ==>  0 pairs (_) / I3 = 9 ==>  0 pairs (_)
A7,A9: 8.. / A7 = 8 ==>  0 pairs (_) / A9 = 8 ==>  0 pairs (_)
H7,I8: 6.. / H7 = 6 ==>  0 pairs (_) / I8 = 6 ==>  0 pairs (_)
A3,A7: 3.. / A3 = 3 ==>  0 pairs (_) / A7 = 3 ==>  0 pairs (_)
A7,C7: 3.. / A7 = 3 ==>  0 pairs (_) / C7 = 3 ==>  0 pairs (_)
* DURATION: 0:02:22.720820  START: 06:12:44.662253  END: 06:15:07.383073 2021-01-08
* REASONING F5,H5: 7..
* DIS # H5: 7 # D5: 5,9 => CTR => D5: 3
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING F4,H4: 7..
* DIS # F4: 7 # D5: 5,9 => CTR => D5: 3
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING H4,H5: 7..
* DIS # H5: 7 # D5: 5,9 => CTR => D5: 3
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING F4,F5: 7..
* DIS # F4: 7 # D5: 5,9 => CTR => D5: 3
* CNT   1 HDP CHAINS /  27 HYP OPENED
* DCP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
F2,F3: 8.. / F2 = 8 ==>  0 pairs (*) / F3 = 8  =>  0 pairs (X)
* DURATION: 0:01:07.606827  START: 06:15:07.598008  END: 06:16:15.204835 2021-01-08
* REASONING F2,F3: 8..
* DIS # F2: 8 # E3: 2,5 # B6: 2,6 => CTR => B6: 5,9
* DIS # F2: 8 # E3: 2,5 + B6: 5,9 # B7: 2,6 => CTR => B7: 1,5,9
* DIS # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 # F7: 2,5 => CTR => F7: 9
* DIS # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 # H9: 1 => CTR => H9: 8,9
* DIS # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 + H9: 8,9 # I6: 8,9 => CTR => I6: 5,6
* DIS # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 + H9: 8,9 + I6: 5,6 # I9: 8,9 => CTR => I9: 1
* PRF # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 + H9: 8,9 + I6: 5,6 + I9: 1 => SOL
* STA # F2: 8 + E3: 2,5
* CNT   7 HDP CHAINS /  62 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1001214;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 F2,F3: 8..:

* INC # F2: 8 # E1: 2,5 => UNS
* INC # F2: 8 # E3: 2,5 => UNS
* INC # F2: 8 # A3: 2,5 => UNS
* INC # F2: 8 # C3: 2,5 => UNS
* INC # F2: 8 # F4: 2,5 => UNS
* INC # F2: 8 # F7: 2,5 => UNS
* INC # F2: 8 # H1: 1,3 => UNS
* INC # F2: 8 # H1: 2 => UNS
* INC # F2: 8 # H1: 1,2 => UNS
* INC # F2: 8 # H1: 3 => UNS
* INC # F2: 8 # B2: 1,2 => UNS
* INC # F2: 8 # C2: 1,2 => UNS
* INC # F2: 8 # D2: 1,2 => UNS
* INC # F2: 8 # G7: 1,2 => UNS
* INC # F2: 8 # G8: 1,2 => UNS
* INC # F2: 8 # H6: 8,9 => UNS
* INC # F2: 8 # H7: 8,9 => UNS
* INC # F2: 8 # H9: 8,9 => UNS
* INC # F2: 8 # I6: 8,9 => UNS
* INC # F2: 8 # I9: 8,9 => UNS
* INC # F2: 8 => UNS
* INC # F3: 8 # F1: 2,4 => UNS
* INC # F3: 8 # F1: 5 => UNS
* INC # F3: 8 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for E4,E5: 6..:

* INC # E5: 6 # E1: 1,2 => UNS
* INC # E5: 6 # E3: 1,2 => UNS
* INC # E5: 6 # B2: 1,2 => UNS
* INC # E5: 6 # C2: 1,2 => UNS
* INC # E5: 6 # G2: 1,2 => UNS
* INC # E5: 6 # D8: 1,2 => UNS
* INC # E5: 6 # D9: 1,2 => UNS
* INC # E5: 6 # F4: 2,5 => UNS
* INC # E5: 6 # D6: 2,5 => UNS
* INC # E5: 6 # A4: 2,5 => UNS
* INC # E5: 6 # C4: 2,5 => UNS
* INC # E5: 6 # E1: 2,5 => UNS
* INC # E5: 6 # E3: 2,5 => UNS
* INC # E5: 6 # E7: 2,5 => UNS
* INC # E5: 6 => UNS
* INC # E4: 6 # D5: 3,5 => UNS
* INC # E4: 6 # D6: 3,5 => UNS
* INC # E4: 6 # E1: 3,5 => UNS
* INC # E4: 6 # E3: 3,5 => UNS
* INC # E4: 6 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

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

* INC # I2: 4 # F3: 2,8 => UNS
* INC # I2: 4 # F3: 5 => UNS
* INC # I2: 4 # G2: 2,8 => UNS
* INC # I2: 4 # G2: 1 => UNS
* INC # I2: 4 # H1: 1,3 => UNS
* INC # I2: 4 # H3: 1,3 => UNS
* INC # I2: 4 # I3: 1,3 => UNS
* INC # I2: 4 # C1: 1,3 => UNS
* INC # I2: 4 # E1: 1,3 => UNS
* INC # I2: 4 => UNS
* INC # F2: 4 # E1: 2,5 => UNS
* INC # F2: 4 # E3: 2,5 => UNS
* INC # F2: 4 # C1: 2,5 => UNS
* INC # F2: 4 # C1: 1,3 => UNS
* INC # F2: 4 # F4: 2,5 => UNS
* INC # F2: 4 # F7: 2,5 => UNS
* INC # F2: 4 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

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

* INC # F1: 4 # F3: 2,8 => UNS
* INC # F1: 4 # F3: 5 => UNS
* INC # F1: 4 # G2: 2,8 => UNS
* INC # F1: 4 # G2: 1 => UNS
* INC # F1: 4 # H1: 1,3 => UNS
* INC # F1: 4 # H3: 1,3 => UNS
* INC # F1: 4 # I3: 1,3 => UNS
* INC # F1: 4 # C1: 1,3 => UNS
* INC # F1: 4 # E1: 1,3 => UNS
* INC # F1: 4 => UNS
* INC # I1: 4 # E1: 2,5 => UNS
* INC # I1: 4 # E3: 2,5 => UNS
* INC # I1: 4 # C1: 2,5 => UNS
* INC # I1: 4 # C1: 1,3 => UNS
* INC # I1: 4 # F4: 2,5 => UNS
* INC # I1: 4 # F7: 2,5 => UNS
* INC # I1: 4 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

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

* INC # I2: 4 # F3: 2,8 => UNS
* INC # I2: 4 # F3: 5 => UNS
* INC # I2: 4 # G2: 2,8 => UNS
* INC # I2: 4 # G2: 1 => UNS
* INC # I2: 4 # H1: 1,3 => UNS
* INC # I2: 4 # H3: 1,3 => UNS
* INC # I2: 4 # I3: 1,3 => UNS
* INC # I2: 4 # C1: 1,3 => UNS
* INC # I2: 4 # E1: 1,3 => UNS
* INC # I2: 4 => UNS
* INC # I1: 4 # E1: 2,5 => UNS
* INC # I1: 4 # E3: 2,5 => UNS
* INC # I1: 4 # C1: 2,5 => UNS
* INC # I1: 4 # C1: 1,3 => UNS
* INC # I1: 4 # F4: 2,5 => UNS
* INC # I1: 4 # F7: 2,5 => UNS
* INC # I1: 4 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

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

* INC # F1: 4 # F3: 2,8 => UNS
* INC # F1: 4 # F3: 5 => UNS
* INC # F1: 4 # G2: 2,8 => UNS
* INC # F1: 4 # G2: 1 => UNS
* INC # F1: 4 # H1: 1,3 => UNS
* INC # F1: 4 # H3: 1,3 => UNS
* INC # F1: 4 # I3: 1,3 => UNS
* INC # F1: 4 # C1: 1,3 => UNS
* INC # F1: 4 # E1: 1,3 => UNS
* INC # F1: 4 => UNS
* INC # F2: 4 # E1: 2,5 => UNS
* INC # F2: 4 # E3: 2,5 => UNS
* INC # F2: 4 # C1: 2,5 => UNS
* INC # F2: 4 # C1: 1,3 => UNS
* INC # F2: 4 # F4: 2,5 => UNS
* INC # F2: 4 # F7: 2,5 => UNS
* INC # F2: 4 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for F5,H5: 7..:

* DIS # H5: 7 # D5: 5,9 => CTR => D5: 3
* INC # H5: 7 + D5: 3 # D6: 5,9 => UNS
* INC # H5: 7 + D5: 3 # D6: 5,9 => UNS
* INC # H5: 7 + D5: 3 # D6: 2 => UNS
* INC # H5: 7 + D5: 3 # B5: 5,9 => UNS
* INC # H5: 7 + D5: 3 # G5: 5,9 => UNS
* INC # H5: 7 + D5: 3 # F7: 5,9 => UNS
* INC # H5: 7 + D5: 3 # F7: 2 => UNS
* INC # H5: 7 + D5: 3 # E1: 1,2 => UNS
* INC # H5: 7 + D5: 3 # E3: 1,2 => UNS
* INC # H5: 7 + D5: 3 # B2: 1,2 => UNS
* INC # H5: 7 + D5: 3 # C2: 1,2 => UNS
* INC # H5: 7 + D5: 3 # G2: 1,2 => UNS
* INC # H5: 7 + D5: 3 # D8: 1,2 => UNS
* INC # H5: 7 + D5: 3 # D9: 1,2 => UNS
* INC # H5: 7 + D5: 3 # E4: 5,6 => UNS
* INC # H5: 7 + D5: 3 # E4: 2 => UNS
* INC # H5: 7 + D5: 3 # B5: 5,6 => UNS
* INC # H5: 7 + D5: 3 # B5: 1,9 => UNS
* INC # H5: 7 + D5: 3 # D6: 5,9 => UNS
* INC # H5: 7 + D5: 3 # D6: 2 => UNS
* INC # H5: 7 + D5: 3 # B5: 5,9 => UNS
* INC # H5: 7 + D5: 3 # G5: 5,9 => UNS
* INC # H5: 7 + D5: 3 # F7: 5,9 => UNS
* INC # H5: 7 + D5: 3 # F7: 2 => UNS
* INC # H5: 7 + D5: 3 => UNS
* INC # F5: 7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for F4,H4: 7..:

* DIS # F4: 7 # D5: 5,9 => CTR => D5: 3
* INC # F4: 7 + D5: 3 # D6: 5,9 => UNS
* INC # F4: 7 + D5: 3 # D6: 5,9 => UNS
* INC # F4: 7 + D5: 3 # D6: 2 => UNS
* INC # F4: 7 + D5: 3 # B5: 5,9 => UNS
* INC # F4: 7 + D5: 3 # G5: 5,9 => UNS
* INC # F4: 7 + D5: 3 # F7: 5,9 => UNS
* INC # F4: 7 + D5: 3 # F7: 2 => UNS
* INC # F4: 7 + D5: 3 # E1: 1,2 => UNS
* INC # F4: 7 + D5: 3 # E3: 1,2 => UNS
* INC # F4: 7 + D5: 3 # B2: 1,2 => UNS
* INC # F4: 7 + D5: 3 # C2: 1,2 => UNS
* INC # F4: 7 + D5: 3 # G2: 1,2 => UNS
* INC # F4: 7 + D5: 3 # D8: 1,2 => UNS
* INC # F4: 7 + D5: 3 # D9: 1,2 => UNS
* INC # F4: 7 + D5: 3 # E4: 5,6 => UNS
* INC # F4: 7 + D5: 3 # E4: 2 => UNS
* INC # F4: 7 + D5: 3 # B5: 5,6 => UNS
* INC # F4: 7 + D5: 3 # B5: 1,9 => UNS
* INC # F4: 7 + D5: 3 # D6: 5,9 => UNS
* INC # F4: 7 + D5: 3 # D6: 2 => UNS
* INC # F4: 7 + D5: 3 # B5: 5,9 => UNS
* INC # F4: 7 + D5: 3 # G5: 5,9 => UNS
* INC # F4: 7 + D5: 3 # F7: 5,9 => UNS
* INC # F4: 7 + D5: 3 # F7: 2 => UNS
* INC # F4: 7 + D5: 3 => UNS
* INC # H4: 7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for H4,H5: 7..:

* DIS # H5: 7 # D5: 5,9 => CTR => D5: 3
* INC # H5: 7 + D5: 3 # D6: 5,9 => UNS
* INC # H5: 7 + D5: 3 # D6: 5,9 => UNS
* INC # H5: 7 + D5: 3 # D6: 2 => UNS
* INC # H5: 7 + D5: 3 # B5: 5,9 => UNS
* INC # H5: 7 + D5: 3 # G5: 5,9 => UNS
* INC # H5: 7 + D5: 3 # F7: 5,9 => UNS
* INC # H5: 7 + D5: 3 # F7: 2 => UNS
* INC # H5: 7 + D5: 3 # E1: 1,2 => UNS
* INC # H5: 7 + D5: 3 # E3: 1,2 => UNS
* INC # H5: 7 + D5: 3 # B2: 1,2 => UNS
* INC # H5: 7 + D5: 3 # C2: 1,2 => UNS
* INC # H5: 7 + D5: 3 # G2: 1,2 => UNS
* INC # H5: 7 + D5: 3 # D8: 1,2 => UNS
* INC # H5: 7 + D5: 3 # D9: 1,2 => UNS
* INC # H5: 7 + D5: 3 # E4: 5,6 => UNS
* INC # H5: 7 + D5: 3 # E4: 2 => UNS
* INC # H5: 7 + D5: 3 # B5: 5,6 => UNS
* INC # H5: 7 + D5: 3 # B5: 1,9 => UNS
* INC # H5: 7 + D5: 3 # D6: 5,9 => UNS
* INC # H5: 7 + D5: 3 # D6: 2 => UNS
* INC # H5: 7 + D5: 3 # B5: 5,9 => UNS
* INC # H5: 7 + D5: 3 # G5: 5,9 => UNS
* INC # H5: 7 + D5: 3 # F7: 5,9 => UNS
* INC # H5: 7 + D5: 3 # F7: 2 => UNS
* INC # H5: 7 + D5: 3 => UNS
* INC # H4: 7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for F4,F5: 7..:

* DIS # F4: 7 # D5: 5,9 => CTR => D5: 3
* INC # F4: 7 + D5: 3 # D6: 5,9 => UNS
* INC # F4: 7 + D5: 3 # D6: 5,9 => UNS
* INC # F4: 7 + D5: 3 # D6: 2 => UNS
* INC # F4: 7 + D5: 3 # B5: 5,9 => UNS
* INC # F4: 7 + D5: 3 # G5: 5,9 => UNS
* INC # F4: 7 + D5: 3 # F7: 5,9 => UNS
* INC # F4: 7 + D5: 3 # F7: 2 => UNS
* INC # F4: 7 + D5: 3 # E1: 1,2 => UNS
* INC # F4: 7 + D5: 3 # E3: 1,2 => UNS
* INC # F4: 7 + D5: 3 # B2: 1,2 => UNS
* INC # F4: 7 + D5: 3 # C2: 1,2 => UNS
* INC # F4: 7 + D5: 3 # G2: 1,2 => UNS
* INC # F4: 7 + D5: 3 # D8: 1,2 => UNS
* INC # F4: 7 + D5: 3 # D9: 1,2 => UNS
* INC # F4: 7 + D5: 3 # E4: 5,6 => UNS
* INC # F4: 7 + D5: 3 # E4: 2 => UNS
* INC # F4: 7 + D5: 3 # B5: 5,6 => UNS
* INC # F4: 7 + D5: 3 # B5: 1,9 => UNS
* INC # F4: 7 + D5: 3 # D6: 5,9 => UNS
* INC # F4: 7 + D5: 3 # D6: 2 => UNS
* INC # F4: 7 + D5: 3 # B5: 5,9 => UNS
* INC # F4: 7 + D5: 3 # G5: 5,9 => UNS
* INC # F4: 7 + D5: 3 # F7: 5,9 => UNS
* INC # F4: 7 + D5: 3 # F7: 2 => UNS
* INC # F4: 7 + D5: 3 => UNS
* INC # F5: 7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

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

* INC # C2: 6 # C1: 1,2 => UNS
* INC # C2: 6 # A3: 1,2 => UNS
* INC # C2: 6 # C3: 1,2 => UNS
* INC # C2: 6 # D2: 1,2 => UNS
* INC # C2: 6 # G2: 1,2 => UNS
* INC # C2: 6 # B7: 1,2 => UNS
* INC # C2: 6 # B9: 1,2 => UNS
* INC # C2: 6 => UNS
* INC # B2: 6 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for H3,I3: 9..:

* INC # H3: 9 => UNS
* INC # I3: 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 H7,I8: 6..:

* INC # H7: 6 => UNS
* INC # I8: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A3,A7: 3..:

* INC # A3: 3 => UNS
* INC # A7: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A7,C7: 3..:

* INC # A7: 3 => UNS
* INC # C7: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for F2,F3: 8..:

* INC # F2: 8 # E1: 2,5 => UNS
* INC # F2: 8 # E3: 2,5 => UNS
* INC # F2: 8 # A3: 2,5 => UNS
* INC # F2: 8 # C3: 2,5 => UNS
* INC # F2: 8 # F4: 2,5 => UNS
* INC # F2: 8 # F7: 2,5 => UNS
* INC # F2: 8 # H1: 1,3 => UNS
* INC # F2: 8 # H1: 2 => UNS
* INC # F2: 8 # H1: 1,2 => UNS
* INC # F2: 8 # H1: 3 => UNS
* INC # F2: 8 # B2: 1,2 => UNS
* INC # F2: 8 # C2: 1,2 => UNS
* INC # F2: 8 # D2: 1,2 => UNS
* INC # F2: 8 # G7: 1,2 => UNS
* INC # F2: 8 # G8: 1,2 => UNS
* INC # F2: 8 # H6: 8,9 => UNS
* INC # F2: 8 # H7: 8,9 => UNS
* INC # F2: 8 # H9: 8,9 => UNS
* INC # F2: 8 # I6: 8,9 => UNS
* INC # F2: 8 # I9: 8,9 => UNS
* INC # F2: 8 # E1: 2,5 # C1: 2,5 => UNS
* INC # F2: 8 # E1: 2,5 # C1: 1 => UNS
* INC # F2: 8 # E1: 2,5 # E4: 2,5 => UNS
* INC # F2: 8 # E1: 2,5 # E7: 2,5 => UNS
* INC # F2: 8 # E1: 2,5 # C2: 1,3 => UNS
* INC # F2: 8 # E1: 2,5 # C2: 2,6 => UNS
* INC # F2: 8 # E1: 2,5 # A3: 1,3 => UNS
* INC # F2: 8 # E1: 2,5 # C3: 1,3 => UNS
* INC # F2: 8 # E1: 2,5 # A3: 2,5 => UNS
* INC # F2: 8 # E1: 2,5 # C3: 2,5 => UNS
* INC # F2: 8 # E1: 2,5 # F4: 2,5 => UNS
* INC # F2: 8 # E1: 2,5 # F7: 2,5 => UNS
* INC # F2: 8 # E1: 2,5 # H1: 1,3 => UNS
* INC # F2: 8 # E1: 2,5 # H1: 2 => UNS
* INC # F2: 8 # E1: 2,5 # H1: 1,2 => UNS
* INC # F2: 8 # E1: 2,5 # H1: 3 => UNS
* INC # F2: 8 # E1: 2,5 # B2: 1,2 => UNS
* INC # F2: 8 # E1: 2,5 # C2: 1,2 => UNS
* INC # F2: 8 # E1: 2,5 # G7: 1,2 => UNS
* INC # F2: 8 # E1: 2,5 # G8: 1,2 => UNS
* INC # F2: 8 # E1: 2,5 # H6: 8,9 => UNS
* INC # F2: 8 # E1: 2,5 # H7: 8,9 => UNS
* INC # F2: 8 # E1: 2,5 # H9: 8,9 => UNS
* INC # F2: 8 # E1: 2,5 # I6: 8,9 => UNS
* INC # F2: 8 # E1: 2,5 # I9: 8,9 => UNS
* INC # F2: 8 # E1: 2,5 => UNS
* DIS # F2: 8 # E3: 2,5 # B6: 2,6 => CTR => B6: 5,9
* DIS # F2: 8 # E3: 2,5 + B6: 5,9 # B7: 2,6 => CTR => B7: 1,5,9
* INC # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 # C7: 2,6 => UNS
* INC # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 # C8: 2,6 => UNS
* INC # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 # A7: 1,3 => UNS
* INC # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 # A7: 2,5,6,8 => UNS
* INC # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 # C7: 1,3 => UNS
* INC # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 # C7: 2,6,9 => UNS
* INC # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 # F4: 2,5 => UNS
* DIS # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 # F7: 2,5 => CTR => F7: 9
* INC # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 # H9: 8,9 => UNS
* DIS # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 # H9: 1 => CTR => H9: 8,9
* DIS # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 + H9: 8,9 # I6: 8,9 => CTR => I6: 5,6
* DIS # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 + H9: 8,9 + I6: 5,6 # I9: 8,9 => CTR => I9: 1
* PRF # F2: 8 # E3: 2,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 + H9: 8,9 + I6: 5,6 + I9: 1 => SOL
* STA # F2: 8 + E3: 2,5
* CNT  61 HDP CHAINS /  62 HYP OPENED