Analysis of xx-ph-00930617-13_05-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..7...9..5..4.6..7..4.8.....3.2.8..4....7..1......4....7....82.4......62.. initial

Autosolve

position: 98.7..6..7...9..5..4.6..7..4.8.....3.2.8..4....7.41......4....7.7..82.4...4.762.. 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: 0:00:00.000006

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

* DIS # F5: 7 # D4: 5,9 => CTR => D4: 2
* CNT   1 HDP CHAINS /  27 HYP OPENED

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

* DIS # H4: 7 # D4: 5,9 => CTR => D4: 2
* CNT   1 HDP CHAINS /  27 HYP OPENED

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

* DIS # H4: 7 # D4: 5,9 => CTR => D4: 2
* CNT   1 HDP CHAINS /  27 HYP OPENED

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

* DIS # F5: 7 # D4: 5,9 => CTR => D4: 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: 0:00:55.088158

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

* DIS # F2: 8 # E3: 3,5 # B6: 3,6 => CTR => B6: 5,9
* DIS # F2: 8 # E3: 3,5 + B6: 5,9 # B7: 3,6 => CTR => B7: 1,5,9
* DIS # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 # F7: 3,5 => CTR => F7: 9
* DIS # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 # H9: 1 => CTR => H9: 8,9
* DIS # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 + H9: 8,9 # I6: 8,9 => CTR => I6: 5,6
* DIS # F2: 8 # E3: 3,5 + 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: 3,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 + H9: 8,9 + I6: 5,6 + I9: 1 => SOL
* STA # F2: 8 + E3: 3,5
* 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..4.8.....3.2.8..4....7..1......4....7....82.4......62.. initial
98.7..6..7...9..5..4.6..7..4.8.....3.2.8..4....7.41......4....7.7..82.4...4.762.. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A7,C7: 2.. / A7 = 2  =>  0 pairs (_) / C7 = 2  =>  0 pairs (_)
A3,A7: 2.. / A3 = 2  =>  0 pairs (_) / A7 = 2  =>  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  =>  2 pairs (_) / E5 = 6  =>  1 pairs (_)
H7,I8: 6.. / H7 = 6  =>  0 pairs (_) / I8 = 6  =>  0 pairs (_)
F4,F5: 7.. / F4 = 7  =>  0 pairs (_) / F5 = 7  =>  1 pairs (_)
H4,H5: 7.. / H4 = 7  =>  1 pairs (_) / H5 = 7  =>  0 pairs (_)
F4,H4: 7.. / F4 = 7  =>  0 pairs (_) / H4 = 7  =>  1 pairs (_)
F5,H5: 7.. / F5 = 7  =>  1 pairs (_) / H5 = 7  =>  0 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: 0:00:10.553974  START: 19:26:19.992023  END: 19:26:30.545997 2021-01-02
* 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 ==>  2 pairs (_) / E5 = 6 ==>  1 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 ==>  3 pairs (_) / H5 = 7 ==>  0 pairs (_)
F4,H4: 7.. / F4 = 7 ==>  0 pairs (_) / H4 = 7 ==>  3 pairs (_)
H4,H5: 7.. / H4 = 7 ==>  3 pairs (_) / H5 = 7 ==>  0 pairs (_)
F4,F5: 7.. / F4 = 7 ==>  0 pairs (_) / F5 = 7 ==>  3 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: 2.. / A3 = 2 ==>  0 pairs (_) / A7 = 2 ==>  0 pairs (_)
A7,C7: 2.. / A7 = 2 ==>  0 pairs (_) / C7 = 2 ==>  0 pairs (_)
* DURATION: 0:01:53.050810  START: 19:26:30.546551  END: 19:28:23.597361 2021-01-02
* REASONING F5,H5: 7..
* DIS # F5: 7 # D4: 5,9 => CTR => D4: 2
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING F4,H4: 7..
* DIS # H4: 7 # D4: 5,9 => CTR => D4: 2
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING H4,H5: 7..
* DIS # H4: 7 # D4: 5,9 => CTR => D4: 2
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING F4,F5: 7..
* DIS # F5: 7 # D4: 5,9 => CTR => D4: 2
* 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: 0:00:55.084451  START: 19:28:23.805666  END: 19:29:18.890117 2021-01-02
* REASONING F2,F3: 8..
* DIS # F2: 8 # E3: 3,5 # B6: 3,6 => CTR => B6: 5,9
* DIS # F2: 8 # E3: 3,5 + B6: 5,9 # B7: 3,6 => CTR => B7: 1,5,9
* DIS # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 # F7: 3,5 => CTR => F7: 9
* DIS # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 # H9: 1 => CTR => H9: 8,9
* DIS # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 + H9: 8,9 # I6: 8,9 => CTR => I6: 5,6
* DIS # F2: 8 # E3: 3,5 + 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: 3,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 + H9: 8,9 + I6: 5,6 + I9: 1 => SOL
* STA # F2: 8 + E3: 3,5
* CNT   7 HDP CHAINS /  62 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

930617;13_05;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: 3,5 => UNS
* INC # F2: 8 # E3: 3,5 => UNS
* INC # F2: 8 # A3: 3,5 => UNS
* INC # F2: 8 # C3: 3,5 => UNS
* INC # F2: 8 # F5: 3,5 => UNS
* INC # F2: 8 # F7: 3,5 => UNS
* INC # F2: 8 # H1: 1,2 => UNS
* INC # F2: 8 # H1: 3 => UNS
* INC # F2: 8 # H1: 1,3 => UNS
* INC # F2: 8 # H1: 2 => UNS
* INC # F2: 8 # B2: 1,3 => UNS
* INC # F2: 8 # C2: 1,3 => UNS
* INC # F2: 8 # D2: 1,3 => UNS
* INC # F2: 8 # G7: 1,3 => UNS
* INC # F2: 8 # G8: 1,3 => 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: 3,4 => 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 # E4: 6 # E1: 1,3 => UNS
* INC # E4: 6 # E3: 1,3 => UNS
* INC # E4: 6 # B2: 1,3 => UNS
* INC # E4: 6 # C2: 1,3 => UNS
* INC # E4: 6 # G2: 1,3 => UNS
* INC # E4: 6 # D8: 1,3 => UNS
* INC # E4: 6 # D9: 1,3 => UNS
* INC # E4: 6 # F5: 3,5 => UNS
* INC # E4: 6 # D6: 3,5 => UNS
* INC # E4: 6 # A5: 3,5 => UNS
* INC # E4: 6 # C5: 3,5 => UNS
* INC # E4: 6 # E1: 3,5 => UNS
* INC # E4: 6 # E3: 3,5 => UNS
* INC # E4: 6 # E7: 3,5 => UNS
* INC # E4: 6 => UNS
* INC # E5: 6 # D4: 2,5 => UNS
* INC # E5: 6 # D6: 2,5 => UNS
* INC # E5: 6 # E1: 2,5 => UNS
* INC # E5: 6 # E3: 2,5 => UNS
* INC # E5: 6 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

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

* INC # I2: 4 # F3: 3,8 => UNS
* INC # I2: 4 # F3: 5 => UNS
* INC # I2: 4 # G2: 3,8 => UNS
* INC # I2: 4 # G2: 1 => UNS
* INC # I2: 4 # H1: 1,2 => UNS
* INC # I2: 4 # H3: 1,2 => UNS
* INC # I2: 4 # I3: 1,2 => UNS
* INC # I2: 4 # C1: 1,2 => UNS
* INC # I2: 4 # E1: 1,2 => UNS
* INC # I2: 4 => UNS
* INC # F2: 4 # E1: 3,5 => UNS
* INC # F2: 4 # E3: 3,5 => UNS
* INC # F2: 4 # C1: 3,5 => UNS
* INC # F2: 4 # C1: 1,2 => UNS
* INC # F2: 4 # F5: 3,5 => UNS
* INC # F2: 4 # F7: 3,5 => 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: 3,8 => UNS
* INC # F1: 4 # F3: 5 => UNS
* INC # F1: 4 # G2: 3,8 => UNS
* INC # F1: 4 # G2: 1 => UNS
* INC # F1: 4 # H1: 1,2 => UNS
* INC # F1: 4 # H3: 1,2 => UNS
* INC # F1: 4 # I3: 1,2 => UNS
* INC # F1: 4 # C1: 1,2 => UNS
* INC # F1: 4 # E1: 1,2 => UNS
* INC # F1: 4 => UNS
* INC # I1: 4 # E1: 3,5 => UNS
* INC # I1: 4 # E3: 3,5 => UNS
* INC # I1: 4 # C1: 3,5 => UNS
* INC # I1: 4 # C1: 1,2 => UNS
* INC # I1: 4 # F5: 3,5 => UNS
* INC # I1: 4 # F7: 3,5 => 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: 3,8 => UNS
* INC # I2: 4 # F3: 5 => UNS
* INC # I2: 4 # G2: 3,8 => UNS
* INC # I2: 4 # G2: 1 => UNS
* INC # I2: 4 # H1: 1,2 => UNS
* INC # I2: 4 # H3: 1,2 => UNS
* INC # I2: 4 # I3: 1,2 => UNS
* INC # I2: 4 # C1: 1,2 => UNS
* INC # I2: 4 # E1: 1,2 => UNS
* INC # I2: 4 => UNS
* INC # I1: 4 # E1: 3,5 => UNS
* INC # I1: 4 # E3: 3,5 => UNS
* INC # I1: 4 # C1: 3,5 => UNS
* INC # I1: 4 # C1: 1,2 => UNS
* INC # I1: 4 # F5: 3,5 => UNS
* INC # I1: 4 # F7: 3,5 => 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: 3,8 => UNS
* INC # F1: 4 # F3: 5 => UNS
* INC # F1: 4 # G2: 3,8 => UNS
* INC # F1: 4 # G2: 1 => UNS
* INC # F1: 4 # H1: 1,2 => UNS
* INC # F1: 4 # H3: 1,2 => UNS
* INC # F1: 4 # I3: 1,2 => UNS
* INC # F1: 4 # C1: 1,2 => UNS
* INC # F1: 4 # E1: 1,2 => UNS
* INC # F1: 4 => UNS
* INC # F2: 4 # E1: 3,5 => UNS
* INC # F2: 4 # E3: 3,5 => UNS
* INC # F2: 4 # C1: 3,5 => UNS
* INC # F2: 4 # C1: 1,2 => UNS
* INC # F2: 4 # F5: 3,5 => UNS
* INC # F2: 4 # F7: 3,5 => UNS
* INC # F2: 4 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

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

* DIS # F5: 7 # D4: 5,9 => CTR => D4: 2
* INC # F5: 7 + D4: 2 # D6: 5,9 => UNS
* INC # F5: 7 + D4: 2 # D6: 5,9 => UNS
* INC # F5: 7 + D4: 2 # D6: 3 => UNS
* INC # F5: 7 + D4: 2 # B4: 5,9 => UNS
* INC # F5: 7 + D4: 2 # G4: 5,9 => UNS
* INC # F5: 7 + D4: 2 # F7: 5,9 => UNS
* INC # F5: 7 + D4: 2 # F7: 3 => UNS
* INC # F5: 7 + D4: 2 # E1: 1,3 => UNS
* INC # F5: 7 + D4: 2 # E3: 1,3 => UNS
* INC # F5: 7 + D4: 2 # B2: 1,3 => UNS
* INC # F5: 7 + D4: 2 # C2: 1,3 => UNS
* INC # F5: 7 + D4: 2 # G2: 1,3 => UNS
* INC # F5: 7 + D4: 2 # D8: 1,3 => UNS
* INC # F5: 7 + D4: 2 # D9: 1,3 => UNS
* INC # F5: 7 + D4: 2 # E5: 5,6 => UNS
* INC # F5: 7 + D4: 2 # E5: 3 => UNS
* INC # F5: 7 + D4: 2 # B4: 5,6 => UNS
* INC # F5: 7 + D4: 2 # B4: 1,9 => UNS
* INC # F5: 7 + D4: 2 # D6: 5,9 => UNS
* INC # F5: 7 + D4: 2 # D6: 3 => UNS
* INC # F5: 7 + D4: 2 # B4: 5,9 => UNS
* INC # F5: 7 + D4: 2 # G4: 5,9 => UNS
* INC # F5: 7 + D4: 2 # F7: 5,9 => UNS
* INC # F5: 7 + D4: 2 # F7: 3 => UNS
* INC # F5: 7 + D4: 2 => UNS
* INC # H5: 7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

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

* DIS # H4: 7 # D4: 5,9 => CTR => D4: 2
* INC # H4: 7 + D4: 2 # D6: 5,9 => UNS
* INC # H4: 7 + D4: 2 # D6: 5,9 => UNS
* INC # H4: 7 + D4: 2 # D6: 3 => UNS
* INC # H4: 7 + D4: 2 # B4: 5,9 => UNS
* INC # H4: 7 + D4: 2 # G4: 5,9 => UNS
* INC # H4: 7 + D4: 2 # F7: 5,9 => UNS
* INC # H4: 7 + D4: 2 # F7: 3 => UNS
* INC # H4: 7 + D4: 2 # E1: 1,3 => UNS
* INC # H4: 7 + D4: 2 # E3: 1,3 => UNS
* INC # H4: 7 + D4: 2 # B2: 1,3 => UNS
* INC # H4: 7 + D4: 2 # C2: 1,3 => UNS
* INC # H4: 7 + D4: 2 # G2: 1,3 => UNS
* INC # H4: 7 + D4: 2 # D8: 1,3 => UNS
* INC # H4: 7 + D4: 2 # D9: 1,3 => UNS
* INC # H4: 7 + D4: 2 # E5: 5,6 => UNS
* INC # H4: 7 + D4: 2 # E5: 3 => UNS
* INC # H4: 7 + D4: 2 # B4: 5,6 => UNS
* INC # H4: 7 + D4: 2 # B4: 1,9 => UNS
* INC # H4: 7 + D4: 2 # D6: 5,9 => UNS
* INC # H4: 7 + D4: 2 # D6: 3 => UNS
* INC # H4: 7 + D4: 2 # B4: 5,9 => UNS
* INC # H4: 7 + D4: 2 # G4: 5,9 => UNS
* INC # H4: 7 + D4: 2 # F7: 5,9 => UNS
* INC # H4: 7 + D4: 2 # F7: 3 => UNS
* INC # H4: 7 + D4: 2 => UNS
* INC # F4: 7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

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

* DIS # H4: 7 # D4: 5,9 => CTR => D4: 2
* INC # H4: 7 + D4: 2 # D6: 5,9 => UNS
* INC # H4: 7 + D4: 2 # D6: 5,9 => UNS
* INC # H4: 7 + D4: 2 # D6: 3 => UNS
* INC # H4: 7 + D4: 2 # B4: 5,9 => UNS
* INC # H4: 7 + D4: 2 # G4: 5,9 => UNS
* INC # H4: 7 + D4: 2 # F7: 5,9 => UNS
* INC # H4: 7 + D4: 2 # F7: 3 => UNS
* INC # H4: 7 + D4: 2 # E1: 1,3 => UNS
* INC # H4: 7 + D4: 2 # E3: 1,3 => UNS
* INC # H4: 7 + D4: 2 # B2: 1,3 => UNS
* INC # H4: 7 + D4: 2 # C2: 1,3 => UNS
* INC # H4: 7 + D4: 2 # G2: 1,3 => UNS
* INC # H4: 7 + D4: 2 # D8: 1,3 => UNS
* INC # H4: 7 + D4: 2 # D9: 1,3 => UNS
* INC # H4: 7 + D4: 2 # E5: 5,6 => UNS
* INC # H4: 7 + D4: 2 # E5: 3 => UNS
* INC # H4: 7 + D4: 2 # B4: 5,6 => UNS
* INC # H4: 7 + D4: 2 # B4: 1,9 => UNS
* INC # H4: 7 + D4: 2 # D6: 5,9 => UNS
* INC # H4: 7 + D4: 2 # D6: 3 => UNS
* INC # H4: 7 + D4: 2 # B4: 5,9 => UNS
* INC # H4: 7 + D4: 2 # G4: 5,9 => UNS
* INC # H4: 7 + D4: 2 # F7: 5,9 => UNS
* INC # H4: 7 + D4: 2 # F7: 3 => UNS
* INC # H4: 7 + D4: 2 => UNS
* INC # H5: 7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

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

* DIS # F5: 7 # D4: 5,9 => CTR => D4: 2
* INC # F5: 7 + D4: 2 # D6: 5,9 => UNS
* INC # F5: 7 + D4: 2 # D6: 5,9 => UNS
* INC # F5: 7 + D4: 2 # D6: 3 => UNS
* INC # F5: 7 + D4: 2 # B4: 5,9 => UNS
* INC # F5: 7 + D4: 2 # G4: 5,9 => UNS
* INC # F5: 7 + D4: 2 # F7: 5,9 => UNS
* INC # F5: 7 + D4: 2 # F7: 3 => UNS
* INC # F5: 7 + D4: 2 # E1: 1,3 => UNS
* INC # F5: 7 + D4: 2 # E3: 1,3 => UNS
* INC # F5: 7 + D4: 2 # B2: 1,3 => UNS
* INC # F5: 7 + D4: 2 # C2: 1,3 => UNS
* INC # F5: 7 + D4: 2 # G2: 1,3 => UNS
* INC # F5: 7 + D4: 2 # D8: 1,3 => UNS
* INC # F5: 7 + D4: 2 # D9: 1,3 => UNS
* INC # F5: 7 + D4: 2 # E5: 5,6 => UNS
* INC # F5: 7 + D4: 2 # E5: 3 => UNS
* INC # F5: 7 + D4: 2 # B4: 5,6 => UNS
* INC # F5: 7 + D4: 2 # B4: 1,9 => UNS
* INC # F5: 7 + D4: 2 # D6: 5,9 => UNS
* INC # F5: 7 + D4: 2 # D6: 3 => UNS
* INC # F5: 7 + D4: 2 # B4: 5,9 => UNS
* INC # F5: 7 + D4: 2 # G4: 5,9 => UNS
* INC # F5: 7 + D4: 2 # F7: 5,9 => UNS
* INC # F5: 7 + D4: 2 # F7: 3 => UNS
* INC # F5: 7 + D4: 2 => UNS
* INC # F4: 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 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: 2..:

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

Full list of HDP chains traversed for A7,C7: 2..:

* INC # A7: 2 => UNS
* INC # C7: 2 => 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: 3,5 => UNS
* INC # F2: 8 # E3: 3,5 => UNS
* INC # F2: 8 # A3: 3,5 => UNS
* INC # F2: 8 # C3: 3,5 => UNS
* INC # F2: 8 # F5: 3,5 => UNS
* INC # F2: 8 # F7: 3,5 => UNS
* INC # F2: 8 # H1: 1,2 => UNS
* INC # F2: 8 # H1: 3 => UNS
* INC # F2: 8 # H1: 1,3 => UNS
* INC # F2: 8 # H1: 2 => UNS
* INC # F2: 8 # B2: 1,3 => UNS
* INC # F2: 8 # C2: 1,3 => UNS
* INC # F2: 8 # D2: 1,3 => UNS
* INC # F2: 8 # G7: 1,3 => UNS
* INC # F2: 8 # G8: 1,3 => 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: 3,5 # C1: 3,5 => UNS
* INC # F2: 8 # E1: 3,5 # C1: 1 => UNS
* INC # F2: 8 # E1: 3,5 # E5: 3,5 => UNS
* INC # F2: 8 # E1: 3,5 # E7: 3,5 => UNS
* INC # F2: 8 # E1: 3,5 # C2: 1,2 => UNS
* INC # F2: 8 # E1: 3,5 # C2: 3,6 => UNS
* INC # F2: 8 # E1: 3,5 # A3: 1,2 => UNS
* INC # F2: 8 # E1: 3,5 # C3: 1,2 => UNS
* INC # F2: 8 # E1: 3,5 # A3: 3,5 => UNS
* INC # F2: 8 # E1: 3,5 # C3: 3,5 => UNS
* INC # F2: 8 # E1: 3,5 # F5: 3,5 => UNS
* INC # F2: 8 # E1: 3,5 # F7: 3,5 => UNS
* INC # F2: 8 # E1: 3,5 # H1: 1,2 => UNS
* INC # F2: 8 # E1: 3,5 # H1: 3 => UNS
* INC # F2: 8 # E1: 3,5 # H1: 1,3 => UNS
* INC # F2: 8 # E1: 3,5 # H1: 2 => UNS
* INC # F2: 8 # E1: 3,5 # B2: 1,3 => UNS
* INC # F2: 8 # E1: 3,5 # C2: 1,3 => UNS
* INC # F2: 8 # E1: 3,5 # G7: 1,3 => UNS
* INC # F2: 8 # E1: 3,5 # G8: 1,3 => UNS
* INC # F2: 8 # E1: 3,5 # H6: 8,9 => UNS
* INC # F2: 8 # E1: 3,5 # H7: 8,9 => UNS
* INC # F2: 8 # E1: 3,5 # H9: 8,9 => UNS
* INC # F2: 8 # E1: 3,5 # I6: 8,9 => UNS
* INC # F2: 8 # E1: 3,5 # I9: 8,9 => UNS
* INC # F2: 8 # E1: 3,5 => UNS
* DIS # F2: 8 # E3: 3,5 # B6: 3,6 => CTR => B6: 5,9
* DIS # F2: 8 # E3: 3,5 + B6: 5,9 # B7: 3,6 => CTR => B7: 1,5,9
* INC # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 # C7: 3,6 => UNS
* INC # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 # C8: 3,6 => UNS
* INC # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 # A7: 1,2 => UNS
* INC # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 # A7: 3,5,6,8 => UNS
* INC # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 # C7: 1,2 => UNS
* INC # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 # C7: 3,6,9 => UNS
* INC # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 # F5: 3,5 => UNS
* DIS # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 # F7: 3,5 => CTR => F7: 9
* INC # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 # H9: 8,9 => UNS
* DIS # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 # H9: 1 => CTR => H9: 8,9
* DIS # F2: 8 # E3: 3,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 + H9: 8,9 # I6: 8,9 => CTR => I6: 5,6
* DIS # F2: 8 # E3: 3,5 + 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: 3,5 + B6: 5,9 + B7: 1,5,9 + F7: 9 + H9: 8,9 + I6: 5,6 + I9: 1 => SOL
* STA # F2: 8 + E3: 3,5
* CNT  61 HDP CHAINS /  62 HYP OPENED