Analysis of xx-ph-00027643-KC40b-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.76.5..76.4.......3..9.6.8....7.9..3......2....4...1.9...8.3....1....5......2.. initial

Autosolve

position: 98.76.5..76.4.......3..9.6.8....7.9..3......2....4...1.9...8.3....1....5......2.. autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

See Appendix: Full HDP Chains for full list of HDP chains.

Pair Reduction

Pair Reduction

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:20.205040

The following important HDP chains were detected:

* DIS # I4: 6 # I9: 4,7 => CTR => I9: 8,9
* CNT   1 HDP CHAINS /  47 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

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: 0:00:00.000017

List of important HDP chains detected for C8,C9: 8..:

* DIS # C8: 8 # G8: 4,7 => CTR => G8: 6,9
* CNT   1 HDP CHAINS /  40 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: 0:00:37.780880

List of important HDP chains detected for F1,I1: 3..:

* DIS # F1: 3 # C2: 1,2 # H2: 1,2 => CTR => H2: 8
* DIS # F1: 3 # C2: 1,2 + H2: 8 => CTR => C2: 5
* DIS # F1: 3 + C2: 5 # E2: 1,2 => CTR => E2: 8
* DIS # F1: 3 + C2: 5 + E2: 8 # E3: 1 => CTR => E3: 2,5
* DIS # F1: 3 + C2: 5 + E2: 8 + E3: 2,5 # D6: 2,5 => CTR => D6: 3,6,8,9
* DIS # F1: 3 + C2: 5 + E2: 8 + E3: 2,5 + D6: 3,6,8,9 # D7: 2,5 => CTR => D7: 6
* PRF # F1: 3 + C2: 5 + E2: 8 + E3: 2,5 + D6: 3,6,8,9 + D7: 6 # B6: 2,7 => SOL
* STA # F1: 3 + C2: 5 + E2: 8 + E3: 2,5 + D6: 3,6,8,9 + D7: 6 + B6: 2,7
* CNT   7 HDP CHAINS /  53 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

98.76.5..76.4.......3..9.6.8....7.9..3......2....4...1.9...8.3....1....5......2.. initial
98.76.5..76.4.......3..9.6.8....7.9..3......2....4...1.9...8.3....1....5......2.. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
I1: 3,4

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G7,H9: 1.. / G7 = 1  =>  3 pairs (_) / H9 = 1  =>  3 pairs (_)
H1,H2: 2.. / H1 = 2  =>  4 pairs (_) / H2 = 2  =>  3 pairs (_)
A8,A9: 3.. / A8 = 3  =>  1 pairs (_) / A9 = 3  =>  1 pairs (_)
F1,I1: 3.. / F1 = 3  =>  7 pairs (_) / I1 = 3  =>  3 pairs (_)
F8,F9: 4.. / F8 = 4  =>  3 pairs (_) / F9 = 4  =>  1 pairs (_)
H5,H6: 5.. / H5 = 5  =>  3 pairs (_) / H6 = 5  =>  3 pairs (_)
G3,I3: 7.. / G3 = 7  =>  5 pairs (_) / I3 = 7  =>  4 pairs (_)
C8,C9: 8.. / C8 = 8  =>  2 pairs (_) / C9 = 8  =>  2 pairs (_)
G2,I2: 9.. / G2 = 9  =>  4 pairs (_) / I2 = 9  =>  1 pairs (_)
C5,C6: 9.. / C5 = 9  =>  2 pairs (_) / C6 = 9  =>  1 pairs (_)
G8,I9: 9.. / G8 = 9  =>  1 pairs (_) / I9 = 9  =>  4 pairs (_)
C6,D6: 9.. / C6 = 9  =>  1 pairs (_) / D6 = 9  =>  2 pairs (_)
E8,G8: 9.. / E8 = 9  =>  4 pairs (_) / G8 = 9  =>  1 pairs (_)
G2,G8: 9.. / G2 = 9  =>  4 pairs (_) / G8 = 9  =>  1 pairs (_)
I2,I9: 9.. / I2 = 9  =>  1 pairs (_) / I9 = 9  =>  4 pairs (_)
* DURATION: 0:00:08.912127  START: 12:50:35.215076  END: 12:50:44.127203 2020-12-09
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F1,I1: 3.. / F1 = 3 ==>  7 pairs (_) / I1 = 3 ==>  3 pairs (_)
G3,I3: 7.. / G3 = 7 ==>  5 pairs (_) / I3 = 7 ==>  4 pairs (_)
H1,H2: 2.. / H1 = 2 ==>  4 pairs (_) / H2 = 2 ==>  3 pairs (_)
I2,I9: 9.. / I2 = 9 ==>  1 pairs (_) / I9 = 9 ==>  4 pairs (_)
G2,G8: 9.. / G2 = 9 ==>  4 pairs (_) / G8 = 9 ==>  1 pairs (_)
E8,G8: 9.. / E8 = 9 ==>  4 pairs (_) / G8 = 9 ==>  1 pairs (_)
G8,I9: 9.. / G8 = 9 ==>  1 pairs (_) / I9 = 9 ==>  4 pairs (_)
G2,I2: 9.. / G2 = 9 ==>  4 pairs (_) / I2 = 9 ==>  1 pairs (_)
H5,H6: 5.. / H5 = 5 ==>  3 pairs (_) / H6 = 5 ==>  3 pairs (_)
G7,H9: 1.. / G7 = 1 ==>  3 pairs (_) / H9 = 1 ==>  3 pairs (_)
F8,F9: 4.. / F8 = 4 ==>  3 pairs (_) / F9 = 4 ==>  1 pairs (_)
C8,C9: 8.. / C8 = 8 ==>  3 pairs (_) / C9 = 8 ==>  2 pairs (_)
C6,D6: 9.. / C6 = 9 ==>  1 pairs (_) / D6 = 9 ==>  2 pairs (_)
C5,C6: 9.. / C5 = 9 ==>  2 pairs (_) / C6 = 9 ==>  1 pairs (_)
A8,A9: 3.. / A8 = 3 ==>  1 pairs (_) / A9 = 3 ==>  1 pairs (_)
* DURATION: 0:02:07.467620  START: 12:51:06.174624  END: 12:53:13.642244 2020-12-09
* REASONING C8,C9: 8..
* DIS # C8: 8 # G8: 4,7 => CTR => G8: 6,9
* CNT   1 HDP CHAINS /  40 HYP OPENED
* DCP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
F1,I1: 3.. / F1 = 3 ==>  0 pairs (*) / I1 = 3  =>  0 pairs (X)
* DURATION: 0:00:37.778239  START: 12:53:13.815365  END: 12:53:51.593604 2020-12-09
* REASONING F1,I1: 3..
* DIS # F1: 3 # C2: 1,2 # H2: 1,2 => CTR => H2: 8
* DIS # F1: 3 # C2: 1,2 + H2: 8 => CTR => C2: 5
* DIS # F1: 3 + C2: 5 # E2: 1,2 => CTR => E2: 8
* DIS # F1: 3 + C2: 5 + E2: 8 # E3: 1 => CTR => E3: 2,5
* DIS # F1: 3 + C2: 5 + E2: 8 + E3: 2,5 # D6: 2,5 => CTR => D6: 3,6,8,9
* DIS # F1: 3 + C2: 5 + E2: 8 + E3: 2,5 + D6: 3,6,8,9 # D7: 2,5 => CTR => D7: 6
* PRF # F1: 3 + C2: 5 + E2: 8 + E3: 2,5 + D6: 3,6,8,9 + D7: 6 # B6: 2,7 => SOL
* STA # F1: 3 + C2: 5 + E2: 8 + E3: 2,5 + D6: 3,6,8,9 + D7: 6 + B6: 2,7
* CNT   7 HDP CHAINS /  53 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

27643;KC40b;GP;24;11.30;11.30;9.90

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # I4: 3,4 => UNS
* INC # I4: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # I4: 3,4 => UNS
* INC # I4: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # I4: 3,4 => UNS
* INC # I4: 6 => UNS
* INC # I4: 3,4 # G2: 8,9 => UNS
* INC # I4: 3,4 # G2: 1,3 => UNS
* INC # I4: 3,4 # I9: 8,9 => UNS
* INC # I4: 3,4 # I9: 6,7 => UNS
* INC # I4: 3,4 # G3: 7,8 => UNS
* INC # I4: 3,4 # G3: 1,4 => UNS
* INC # I4: 3,4 # I9: 7,8 => UNS
* INC # I4: 3,4 # I9: 6,9 => UNS
* INC # I4: 3,4 # G4: 3,4 => UNS
* INC # I4: 3,4 # G4: 6 => UNS
* INC # I4: 3,4 # I9: 6,7 => UNS
* INC # I4: 3,4 # I9: 8,9 => UNS
* INC # I4: 3,4 # C7: 6,7 => UNS
* INC # I4: 3,4 # C7: 1,2,4,5 => UNS
* INC # I4: 3,4 => UNS
* INC # I4: 6 # G7: 4,7 => UNS
* INC # I4: 6 # G8: 4,7 => UNS
* INC # I4: 6 # H8: 4,7 => UNS
* INC # I4: 6 # H9: 4,7 => UNS
* DIS # I4: 6 # I9: 4,7 => CTR => I9: 8,9
* INC # I4: 6 + I9: 8,9 # C7: 4,7 => UNS
* INC # I4: 6 + I9: 8,9 # C7: 1,2,5,6 => UNS
* INC # I4: 6 + I9: 8,9 # I3: 4,7 => UNS
* INC # I4: 6 + I9: 8,9 # I3: 8 => UNS
* INC # I4: 6 + I9: 8,9 # G7: 4,7 => UNS
* INC # I4: 6 + I9: 8,9 # G8: 4,7 => UNS
* INC # I4: 6 + I9: 8,9 # H8: 4,7 => UNS
* INC # I4: 6 + I9: 8,9 # H9: 4,7 => UNS
* INC # I4: 6 + I9: 8,9 # C7: 4,7 => UNS
* INC # I4: 6 + I9: 8,9 # C7: 1,2,5,6 => UNS
* INC # I4: 6 + I9: 8,9 # I3: 4,7 => UNS
* INC # I4: 6 + I9: 8,9 # I3: 8 => UNS
* INC # I4: 6 + I9: 8,9 # G7: 4,7 => UNS
* INC # I4: 6 + I9: 8,9 # G8: 4,7 => UNS
* INC # I4: 6 + I9: 8,9 # H8: 4,7 => UNS
* INC # I4: 6 + I9: 8,9 # H9: 4,7 => UNS
* INC # I4: 6 + I9: 8,9 # C7: 4,7 => UNS
* INC # I4: 6 + I9: 8,9 # C7: 1,2,5,6 => UNS
* INC # I4: 6 + I9: 8,9 # I3: 4,7 => UNS
* INC # I4: 6 + I9: 8,9 # I3: 8 => UNS
* INC # I4: 6 + I9: 8,9 # G8: 8,9 => UNS
* INC # I4: 6 + I9: 8,9 # G8: 4,6,7 => UNS
* INC # I4: 6 + I9: 8,9 # I2: 8,9 => UNS
* INC # I4: 6 + I9: 8,9 # I2: 3 => UNS
* INC # I4: 6 + I9: 8,9 => UNS
* CNT  47 HDP CHAINS /  47 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F1,I1: 3..:

* INC # F1: 3 # C2: 1,2 => UNS
* INC # F1: 3 # A3: 1,2 => UNS
* INC # F1: 3 # B3: 1,2 => UNS
* INC # F1: 3 # C4: 1,2 => UNS
* INC # F1: 3 # C7: 1,2 => UNS
* INC # F1: 3 # H2: 1,2 => UNS
* INC # F1: 3 # H2: 8 => UNS
* INC # F1: 3 # G3: 7,8 => UNS
* INC # F1: 3 # G3: 1 => UNS
* INC # F1: 3 # I9: 7,8 => UNS
* INC # F1: 3 # I9: 6,9 => UNS
* INC # F1: 3 # G4: 3,6 => UNS
* INC # F1: 3 # G6: 3,6 => UNS
* INC # F1: 3 # D4: 3,6 => UNS
* INC # F1: 3 # D4: 2,5 => UNS
* INC # F1: 3 # G7: 6,7 => UNS
* INC # F1: 3 # G8: 6,7 => UNS
* INC # F1: 3 # I9: 6,7 => UNS
* INC # F1: 3 # C7: 6,7 => UNS
* INC # F1: 3 # C7: 1,2,4,5 => UNS
* INC # F1: 3 => UNS
* INC # I1: 3 # E2: 1,2 => UNS
* INC # I1: 3 # F2: 1,2 => UNS
* INC # I1: 3 # E3: 1,2 => UNS
* INC # I1: 3 # C1: 1,2 => UNS
* INC # I1: 3 # H1: 1,2 => UNS
* INC # I1: 3 # G2: 8,9 => UNS
* INC # I1: 3 # G2: 1 => UNS
* INC # I1: 3 # I9: 8,9 => UNS
* INC # I1: 3 # I9: 4,6,7 => UNS
* INC # I1: 3 # G4: 4,6 => UNS
* INC # I1: 3 # G5: 4,6 => UNS
* INC # I1: 3 # C4: 4,6 => UNS
* INC # I1: 3 # C4: 1,2,5 => UNS
* INC # I1: 3 # I7: 4,6 => UNS
* INC # I1: 3 # I9: 4,6 => UNS
* INC # I1: 3 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for G3,I3: 7..:

* INC # G3: 7 # I4: 3,4 => UNS
* INC # G3: 7 # I4: 6 => UNS
* INC # G3: 7 # I9: 4,8 => UNS
* INC # G3: 7 # I9: 6,7,9 => UNS
* INC # G3: 7 # C5: 5,7 => UNS
* INC # G3: 7 # C5: 1,4,6,9 => UNS
* INC # G3: 7 # B6: 5,7 => UNS
* INC # G3: 7 # C6: 5,7 => UNS
* INC # G3: 7 # H9: 4,8 => UNS
* INC # G3: 7 # I9: 4,8 => UNS
* INC # G3: 7 # C8: 4,8 => UNS
* INC # G3: 7 # C8: 2,6,7 => UNS
* INC # G3: 7 => UNS
* INC # I3: 7 # I4: 3,4 => UNS
* INC # I3: 7 # I4: 6 => UNS
* INC # I3: 7 # G2: 8,9 => UNS
* INC # I3: 7 # G2: 1,3 => UNS
* INC # I3: 7 # G7: 4,6 => UNS
* INC # I3: 7 # G8: 4,6 => UNS
* INC # I3: 7 # A7: 4,6 => UNS
* INC # I3: 7 # C7: 4,6 => UNS
* INC # I3: 7 # I4: 4,6 => UNS
* INC # I3: 7 # I4: 3 => UNS
* INC # I3: 7 # G8: 8,9 => UNS
* INC # I3: 7 # G8: 4,6,7 => UNS
* INC # I3: 7 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for H1,H2: 2..:

* INC # H1: 2 # A3: 1,4 => UNS
* INC # H1: 2 # B3: 1,4 => UNS
* INC # H1: 2 # C4: 1,4 => UNS
* INC # H1: 2 # C5: 1,4 => UNS
* INC # H1: 2 # C7: 1,4 => UNS
* INC # H1: 2 # C9: 1,4 => UNS
* INC # H1: 2 # E2: 1,3 => UNS
* INC # H1: 2 # F2: 1,3 => UNS
* INC # H1: 2 # I4: 3,4 => UNS
* INC # H1: 2 # I4: 6 => UNS
* INC # H1: 2 # G2: 1,8 => UNS
* INC # H1: 2 # G3: 1,8 => UNS
* INC # H1: 2 # E2: 1,8 => UNS
* INC # H1: 2 # E2: 2,3,5 => UNS
* INC # H1: 2 # H9: 1,8 => UNS
* INC # H1: 2 # H9: 4,7 => UNS
* INC # H1: 2 => UNS
* INC # H2: 2 # A3: 1,5 => UNS
* INC # H2: 2 # B3: 1,5 => UNS
* INC # H2: 2 # E2: 1,5 => UNS
* INC # H2: 2 # F2: 1,5 => UNS
* INC # H2: 2 # C4: 1,5 => UNS
* INC # H2: 2 # C5: 1,5 => UNS
* INC # H2: 2 # C7: 1,5 => UNS
* INC # H2: 2 # C9: 1,5 => UNS
* INC # H2: 2 # G3: 1,4 => UNS
* INC # H2: 2 # G3: 7,8 => UNS
* INC # H2: 2 # C1: 1,4 => UNS
* INC # H2: 2 # C1: 2 => UNS
* INC # H2: 2 # H9: 1,4 => UNS
* INC # H2: 2 # H9: 7,8 => UNS
* INC # H2: 2 # I4: 3,4 => UNS
* INC # H2: 2 # I4: 6 => UNS
* INC # H2: 2 => UNS
* CNT  34 HDP CHAINS /  34 HYP OPENED

Full list of HDP chains traversed for I2,I9: 9..:

* INC # I9: 9 # H1: 1,2 => UNS
* INC # I9: 9 # H1: 4 => UNS
* INC # I9: 9 # C2: 1,2 => UNS
* INC # I9: 9 # E2: 1,2 => UNS
* INC # I9: 9 # F2: 1,2 => UNS
* INC # I9: 9 # E2: 3,8 => UNS
* INC # I9: 9 # E2: 1,2,5 => UNS
* INC # I9: 9 # G4: 4,6 => UNS
* INC # I9: 9 # G5: 4,6 => UNS
* INC # I9: 9 # C4: 4,6 => UNS
* INC # I9: 9 # C4: 1,2,5 => UNS
* INC # I9: 9 # I7: 4,6 => UNS
* INC # I9: 9 # I7: 7 => UNS
* INC # I9: 9 => UNS
* INC # I2: 9 # I4: 3,4 => UNS
* INC # I2: 9 # I4: 6 => UNS
* INC # I2: 9 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for G2,G8: 9..:

* INC # G2: 9 # H1: 1,2 => UNS
* INC # G2: 9 # H1: 4 => UNS
* INC # G2: 9 # C2: 1,2 => UNS
* INC # G2: 9 # E2: 1,2 => UNS
* INC # G2: 9 # F2: 1,2 => UNS
* INC # G2: 9 # E2: 3,8 => UNS
* INC # G2: 9 # E2: 1,2,5 => UNS
* INC # G2: 9 # G4: 4,6 => UNS
* INC # G2: 9 # G5: 4,6 => UNS
* INC # G2: 9 # C4: 4,6 => UNS
* INC # G2: 9 # C4: 1,2,5 => UNS
* INC # G2: 9 # I7: 4,6 => UNS
* INC # G2: 9 # I7: 7 => UNS
* INC # G2: 9 => UNS
* INC # G8: 9 # I4: 3,4 => UNS
* INC # G8: 9 # I4: 6 => UNS
* INC # G8: 9 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for E8,G8: 9..:

* INC # E8: 9 # H1: 1,2 => UNS
* INC # E8: 9 # H1: 4 => UNS
* INC # E8: 9 # C2: 1,2 => UNS
* INC # E8: 9 # E2: 1,2 => UNS
* INC # E8: 9 # F2: 1,2 => UNS
* INC # E8: 9 # E2: 3,8 => UNS
* INC # E8: 9 # E2: 1,2,5 => UNS
* INC # E8: 9 # G4: 4,6 => UNS
* INC # E8: 9 # G5: 4,6 => UNS
* INC # E8: 9 # C4: 4,6 => UNS
* INC # E8: 9 # C4: 1,2,5 => UNS
* INC # E8: 9 # I7: 4,6 => UNS
* INC # E8: 9 # I7: 7 => UNS
* INC # E8: 9 => UNS
* INC # G8: 9 # I4: 3,4 => UNS
* INC # G8: 9 # I4: 6 => UNS
* INC # G8: 9 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for G8,I9: 9..:

* INC # I9: 9 # H1: 1,2 => UNS
* INC # I9: 9 # H1: 4 => UNS
* INC # I9: 9 # C2: 1,2 => UNS
* INC # I9: 9 # E2: 1,2 => UNS
* INC # I9: 9 # F2: 1,2 => UNS
* INC # I9: 9 # E2: 3,8 => UNS
* INC # I9: 9 # E2: 1,2,5 => UNS
* INC # I9: 9 # G4: 4,6 => UNS
* INC # I9: 9 # G5: 4,6 => UNS
* INC # I9: 9 # C4: 4,6 => UNS
* INC # I9: 9 # C4: 1,2,5 => UNS
* INC # I9: 9 # I7: 4,6 => UNS
* INC # I9: 9 # I7: 7 => UNS
* INC # I9: 9 => UNS
* INC # G8: 9 # I4: 3,4 => UNS
* INC # G8: 9 # I4: 6 => UNS
* INC # G8: 9 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for G2,I2: 9..:

* INC # G2: 9 # H1: 1,2 => UNS
* INC # G2: 9 # H1: 4 => UNS
* INC # G2: 9 # C2: 1,2 => UNS
* INC # G2: 9 # E2: 1,2 => UNS
* INC # G2: 9 # F2: 1,2 => UNS
* INC # G2: 9 # E2: 3,8 => UNS
* INC # G2: 9 # E2: 1,2,5 => UNS
* INC # G2: 9 # G4: 4,6 => UNS
* INC # G2: 9 # G5: 4,6 => UNS
* INC # G2: 9 # C4: 4,6 => UNS
* INC # G2: 9 # C4: 1,2,5 => UNS
* INC # G2: 9 # I7: 4,6 => UNS
* INC # G2: 9 # I7: 7 => UNS
* INC # G2: 9 => UNS
* INC # I2: 9 # I4: 3,4 => UNS
* INC # I2: 9 # I4: 6 => UNS
* INC # I2: 9 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for H5,H6: 5..:

* INC # H5: 5 # I4: 3,4 => UNS
* INC # H5: 5 # I4: 6 => UNS
* INC # H5: 5 # A5: 1,6 => UNS
* INC # H5: 5 # C5: 1,6 => UNS
* INC # H5: 5 # G5: 7,8 => UNS
* INC # H5: 5 # G6: 7,8 => UNS
* INC # H5: 5 # H8: 7,8 => UNS
* INC # H5: 5 # H9: 7,8 => UNS
* INC # H5: 5 => UNS
* INC # H6: 5 # I4: 3,4 => UNS
* INC # H6: 5 # I4: 6 => UNS
* INC # H6: 5 # C4: 2,6 => UNS
* INC # H6: 5 # C6: 2,6 => UNS
* INC # H6: 5 # D6: 2,6 => UNS
* INC # H6: 5 # F6: 2,6 => UNS
* INC # H6: 5 # A7: 2,6 => UNS
* INC # H6: 5 # A8: 2,6 => UNS
* INC # H6: 5 # C6: 2,7 => UNS
* INC # H6: 5 # C6: 6,9 => UNS
* INC # H6: 5 # B8: 2,7 => UNS
* INC # H6: 5 # B8: 4 => UNS
* INC # H6: 5 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for G7,H9: 1..:

* INC # G7: 1 # C1: 1,2 => UNS
* INC # G7: 1 # F1: 1,2 => UNS
* INC # G7: 1 # I4: 3,4 => UNS
* INC # G7: 1 # I4: 6 => UNS
* INC # G7: 1 # C2: 1,2 => UNS
* INC # G7: 1 # E2: 1,2 => UNS
* INC # G7: 1 # F2: 1,2 => UNS
* INC # G7: 1 => UNS
* INC # H9: 1 # C1: 2,4 => UNS
* INC # H9: 1 # C1: 1 => UNS
* INC # H9: 1 # I4: 3,4 => UNS
* INC # H9: 1 # I4: 6 => UNS
* INC # H9: 1 # E2: 2,8 => UNS
* INC # H9: 1 # E2: 1,3,5 => UNS
* INC # H9: 1 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for F8,F9: 4..:

* INC # F8: 4 # I4: 3,4 => UNS
* INC # F8: 4 # I4: 6 => UNS
* INC # F8: 4 # C7: 2,7 => UNS
* INC # F8: 4 # C8: 2,7 => UNS
* INC # F8: 4 # E8: 2,7 => UNS
* INC # F8: 4 # E8: 3,9 => UNS
* INC # F8: 4 # B6: 2,7 => UNS
* INC # F8: 4 # B6: 5 => UNS
* INC # F8: 4 # G8: 7,8 => UNS
* INC # F8: 4 # H9: 7,8 => UNS
* INC # F8: 4 # I9: 7,8 => UNS
* INC # F8: 4 # C8: 7,8 => UNS
* INC # F8: 4 # C8: 2,6 => UNS
* INC # F8: 4 # H5: 7,8 => UNS
* INC # F8: 4 # H6: 7,8 => UNS
* INC # F8: 4 => UNS
* INC # F9: 4 # I4: 3,4 => UNS
* INC # F9: 4 # I4: 6 => UNS
* INC # F9: 4 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for C8,C9: 8..:

* INC # C8: 8 # I4: 3,4 => UNS
* INC # C8: 8 # I4: 6 => UNS
* INC # C8: 8 # G7: 4,7 => UNS
* INC # C8: 8 # I7: 4,7 => UNS
* DIS # C8: 8 # G8: 4,7 => CTR => G8: 6,9
* INC # C8: 8 + G8: 6,9 # H9: 4,7 => UNS
* INC # C8: 8 + G8: 6,9 # I9: 4,7 => UNS
* INC # C8: 8 + G8: 6,9 # B8: 4,7 => UNS
* INC # C8: 8 + G8: 6,9 # B8: 2 => UNS
* INC # C8: 8 + G8: 6,9 # H5: 4,7 => UNS
* INC # C8: 8 + G8: 6,9 # H5: 5,8 => UNS
* INC # C8: 8 + G8: 6,9 # G7: 4,7 => UNS
* INC # C8: 8 + G8: 6,9 # I7: 4,7 => UNS
* INC # C8: 8 + G8: 6,9 # H9: 4,7 => UNS
* INC # C8: 8 + G8: 6,9 # I9: 4,7 => UNS
* INC # C8: 8 + G8: 6,9 # B8: 4,7 => UNS
* INC # C8: 8 + G8: 6,9 # B8: 2 => UNS
* INC # C8: 8 + G8: 6,9 # H5: 4,7 => UNS
* INC # C8: 8 + G8: 6,9 # H5: 5,8 => UNS
* INC # C8: 8 + G8: 6,9 # I4: 3,4 => UNS
* INC # C8: 8 + G8: 6,9 # I4: 6 => UNS
* INC # C8: 8 + G8: 6,9 # I9: 6,9 => UNS
* INC # C8: 8 + G8: 6,9 # I9: 4,7,8 => UNS
* INC # C8: 8 + G8: 6,9 # G7: 4,7 => UNS
* INC # C8: 8 + G8: 6,9 # I7: 4,7 => UNS
* INC # C8: 8 + G8: 6,9 # H9: 4,7 => UNS
* INC # C8: 8 + G8: 6,9 # I9: 4,7 => UNS
* INC # C8: 8 + G8: 6,9 # B8: 4,7 => UNS
* INC # C8: 8 + G8: 6,9 # B8: 2 => UNS
* INC # C8: 8 + G8: 6,9 # H5: 4,7 => UNS
* INC # C8: 8 + G8: 6,9 # H5: 5,8 => UNS
* INC # C8: 8 + G8: 6,9 => UNS
* INC # C9: 8 # I4: 3,4 => UNS
* INC # C9: 8 # I4: 6 => UNS
* INC # C9: 8 # H1: 1,2 => UNS
* INC # C9: 8 # H1: 4 => UNS
* INC # C9: 8 # C2: 1,2 => UNS
* INC # C9: 8 # E2: 1,2 => UNS
* INC # C9: 8 # F2: 1,2 => UNS
* INC # C9: 8 => UNS
* CNT  40 HDP CHAINS /  40 HYP OPENED

Full list of HDP chains traversed for C6,D6: 9..:

* INC # D6: 9 # I4: 3,4 => UNS
* INC # D6: 9 # I4: 6 => UNS
* INC # D6: 9 => UNS
* INC # C6: 9 # I4: 3,4 => UNS
* INC # C6: 9 # I4: 6 => UNS
* INC # C6: 9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for C5,C6: 9..:

* INC # C5: 9 # I4: 3,4 => UNS
* INC # C5: 9 # I4: 6 => UNS
* INC # C5: 9 => UNS
* INC # C6: 9 # I4: 3,4 => UNS
* INC # C6: 9 # I4: 6 => UNS
* INC # C6: 9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for A8,A9: 3..:

* INC # A8: 3 # I4: 3,4 => UNS
* INC # A8: 3 # I4: 6 => UNS
* INC # A8: 3 => UNS
* INC # A9: 3 # I4: 3,4 => UNS
* INC # A9: 3 # I4: 6 => UNS
* INC # A9: 3 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A5. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for F1,I1: 3..:

* INC # F1: 3 # C2: 1,2 => UNS
* INC # F1: 3 # A3: 1,2 => UNS
* INC # F1: 3 # B3: 1,2 => UNS
* INC # F1: 3 # C4: 1,2 => UNS
* INC # F1: 3 # C7: 1,2 => UNS
* INC # F1: 3 # H2: 1,2 => UNS
* INC # F1: 3 # H2: 8 => UNS
* INC # F1: 3 # G3: 7,8 => UNS
* INC # F1: 3 # G3: 1 => UNS
* INC # F1: 3 # I9: 7,8 => UNS
* INC # F1: 3 # I9: 6,9 => UNS
* INC # F1: 3 # G4: 3,6 => UNS
* INC # F1: 3 # G6: 3,6 => UNS
* INC # F1: 3 # D4: 3,6 => UNS
* INC # F1: 3 # D4: 2,5 => UNS
* INC # F1: 3 # G7: 6,7 => UNS
* INC # F1: 3 # G8: 6,7 => UNS
* INC # F1: 3 # I9: 6,7 => UNS
* INC # F1: 3 # C7: 6,7 => UNS
* INC # F1: 3 # C7: 1,2,4,5 => UNS
* DIS # F1: 3 # C2: 1,2 # H2: 1,2 => CTR => H2: 8
* DIS # F1: 3 # C2: 1,2 + H2: 8 => CTR => C2: 5
* INC # F1: 3 + C2: 5 # A3: 1,2 => UNS
* INC # F1: 3 + C2: 5 # B3: 1,2 => UNS
* INC # F1: 3 + C2: 5 # C4: 1,2 => UNS
* INC # F1: 3 + C2: 5 # C7: 1,2 => UNS
* DIS # F1: 3 + C2: 5 # E2: 1,2 => CTR => E2: 8
* INC # F1: 3 + C2: 5 + E2: 8 # E3: 1,2 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # E3: 1,2 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # E3: 5 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # I9: 7,8 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # I9: 6,9 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # G4: 3,6 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # G6: 3,6 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # D4: 3,6 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # D4: 2,5 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # G8: 6,7 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # I9: 6,7 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # C7: 6,7 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # C7: 2,4 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # A3: 1,2 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # B3: 1,2 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # C4: 1,2 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # C4: 4,6 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # E3: 1,2 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # E3: 5 => UNS
* INC # F1: 3 + C2: 5 + E2: 8 # E3: 2,5 => UNS
* DIS # F1: 3 + C2: 5 + E2: 8 # E3: 1 => CTR => E3: 2,5
* INC # F1: 3 + C2: 5 + E2: 8 + E3: 2,5 # D4: 2,5 => UNS
* DIS # F1: 3 + C2: 5 + E2: 8 + E3: 2,5 # D6: 2,5 => CTR => D6: 3,6,8,9
* DIS # F1: 3 + C2: 5 + E2: 8 + E3: 2,5 + D6: 3,6,8,9 # D7: 2,5 => CTR => D7: 6
* PRF # F1: 3 + C2: 5 + E2: 8 + E3: 2,5 + D6: 3,6,8,9 + D7: 6 # B6: 2,7 => SOL
* STA # F1: 3 + C2: 5 + E2: 8 + E3: 2,5 + D6: 3,6,8,9 + D7: 6 + B6: 2,7
* CNT  52 HDP CHAINS /  53 HYP OPENED