Analysis of xx-ph-00019333-KZ1C-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7.....6..5.......4.8.6..4...9.8....38...5......2..1.4..3.9....9..7..2.......1. initial

Autosolve

position: 98.7.....6..5.......4.8.6..4...9.8....38...5......2..1.4..3.9....9..7..2.......1. 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: 0:00:00.000006

List of important HDP chains detected for D3,D9: 9..:

* DIS # D3: 9 # I9: 6,7 => CTR => I9: 3,4,5,8
* CNT   1 HDP CHAINS /  24 HYP OPENED

List of important HDP chains detected for D9,F9: 9..:

* DIS # F9: 9 # I9: 6,7 => CTR => I9: 3,4,5,8
* CNT   1 HDP CHAINS /  24 HYP OPENED

List of important HDP chains detected for E5,E6: 7..:

* DIS # E6: 7 # G1: 3,4 => CTR => G1: 1,2,5
* DIS # E6: 7 + G1: 1,2,5 # G2: 3,4 => CTR => G2: 1,2,7
* CNT   2 HDP CHAINS /  39 HYP OPENED

List of important HDP chains detected for A8,H8: 8..:

* DIS # H8: 8 # I9: 6,7 => CTR => I9: 3,4,5
* CNT   1 HDP CHAINS /  24 HYP OPENED

List of important HDP chains detected for A6,C6: 8..:

* DIS # A6: 8 # I9: 6,7 => CTR => I9: 3,4,5
* CNT   1 HDP CHAINS /  24 HYP OPENED

List of important HDP chains detected for F7,F9: 8..:

* DIS # F7: 8 # I9: 6,7 => CTR => I9: 3,4,5,8
* CNT   1 HDP CHAINS /  16 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: 0:00:45.614763

List of important HDP chains detected for F4,E6: 5..:

* DIS # E6: 5 # B4: 1,2 # B2: 1,2 => CTR => B2: 3,7
* DIS # E6: 5 # B4: 1,2 + B2: 3,7 # C2: 1,2 => CTR => C2: 7
* DIS # E6: 5 # B4: 1,2 + B2: 3,7 + C2: 7 => CTR => B4: 5,6,7
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 # C1: 1,2 => CTR => C1: 5
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 # C7: 1,2 => CTR => C7: 6,7,8
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 # C2: 7 => CTR => C2: 1,2
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 # B6: 7 => CTR => B6: 6,9
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 # I5: 4 => CTR => I5: 6,9
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 + I5: 6,9 # G1: 2,4 => CTR => G1: 1,3
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 + I5: 6,9 + G1: 1,3 # G2: 1,3,7 => CTR => G2: 2,4
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 + I5: 6,9 + G1: 1,3 + G2: 2,4 # E2: 1,2 => CTR => E2: 4
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 + I5: 6,9 + G1: 1,3 + G2: 2,4 + E2: 4 => CTR => C4: 5,6,7
* DIS # E6: 5 + B4: 5,6,7 + C4: 5,6,7 # D3: 3 => CTR => D3: 1,2
* DIS # E6: 5 + B4: 5,6,7 + C4: 5,6,7 + D3: 1,2 # H2: 4,9 => CTR => H2: 8
* DIS # E6: 5 + B4: 5,6,7 + C4: 5,6,7 + D3: 1,2 + H2: 8 => CTR => E6: 4,6,7
* STA E6: 4,6,7
* CNT  15 HDP CHAINS /  56 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..5.......4.8.6..4...9.8....38...5......2..1.4..3.9....9..7..2.......1. initial
98.7.....6..5.......4.8.6..4...9.8....38...5......2..1.4..3.9....9..7..2.......1. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G1,G2: 1.. / G1 = 1  =>  1 pairs (_) / G2 = 1  =>  2 pairs (_)
H4,G5: 2.. / H4 = 2  =>  4 pairs (_) / G5 = 2  =>  1 pairs (_)
F4,E6: 5.. / F4 = 5  =>  0 pairs (_) / E6 = 5  =>  5 pairs (_)
E1,F1: 6.. / E1 = 6  =>  0 pairs (_) / F1 = 6  =>  1 pairs (_)
E5,E6: 7.. / E5 = 7  =>  2 pairs (_) / E6 = 7  =>  2 pairs (_)
H2,I2: 8.. / H2 = 8  =>  2 pairs (_) / I2 = 8  =>  0 pairs (_)
A6,C6: 8.. / A6 = 8  =>  1 pairs (_) / C6 = 8  =>  1 pairs (_)
F7,F9: 8.. / F7 = 8  =>  1 pairs (_) / F9 = 8  =>  0 pairs (_)
A8,H8: 8.. / A8 = 8  =>  1 pairs (_) / H8 = 8  =>  1 pairs (_)
B5,B6: 9.. / B5 = 9  =>  0 pairs (_) / B6 = 9  =>  0 pairs (_)
I5,H6: 9.. / I5 = 9  =>  0 pairs (_) / H6 = 9  =>  0 pairs (_)
D9,F9: 9.. / D9 = 9  =>  0 pairs (_) / F9 = 9  =>  4 pairs (_)
B5,I5: 9.. / B5 = 9  =>  0 pairs (_) / I5 = 9  =>  0 pairs (_)
B6,H6: 9.. / B6 = 9  =>  0 pairs (_) / H6 = 9  =>  0 pairs (_)
D3,D9: 9.. / D3 = 9  =>  4 pairs (_) / D9 = 9  =>  0 pairs (_)
* DURATION: 0:00:09.638845  START: 15:17:38.675768  END: 15:17:48.314613 2020-12-06
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F4,E6: 5.. / F4 = 5 ==>  0 pairs (_) / E6 = 5 ==>  5 pairs (_)
H4,G5: 2.. / H4 = 2 ==>  4 pairs (_) / G5 = 2 ==>  1 pairs (_)
D3,D9: 9.. / D3 = 9 ==>  4 pairs (_) / D9 = 9 ==>  0 pairs (_)
D9,F9: 9.. / D9 = 9 ==>  0 pairs (_) / F9 = 9 ==>  4 pairs (_)
E5,E6: 7.. / E5 = 7 ==>  2 pairs (_) / E6 = 7 ==>  2 pairs (_)
G1,G2: 1.. / G1 = 1 ==>  1 pairs (_) / G2 = 1 ==>  2 pairs (_)
H2,I2: 8.. / H2 = 8 ==>  2 pairs (_) / I2 = 8 ==>  0 pairs (_)
A8,H8: 8.. / A8 = 8 ==>  1 pairs (_) / H8 = 8 ==>  2 pairs (_)
A6,C6: 8.. / A6 = 8 ==>  2 pairs (_) / C6 = 8 ==>  1 pairs (_)
F7,F9: 8.. / F7 = 8 ==>  1 pairs (_) / F9 = 8 ==>  0 pairs (_)
E1,F1: 6.. / E1 = 6 ==>  0 pairs (_) / F1 = 6 ==>  1 pairs (_)
B6,H6: 9.. / B6 = 9 ==>  0 pairs (_) / H6 = 9 ==>  0 pairs (_)
B5,I5: 9.. / B5 = 9 ==>  0 pairs (_) / I5 = 9 ==>  0 pairs (_)
I5,H6: 9.. / I5 = 9 ==>  0 pairs (_) / H6 = 9 ==>  0 pairs (_)
B5,B6: 9.. / B5 = 9 ==>  0 pairs (_) / B6 = 9 ==>  0 pairs (_)
* DURATION: 0:02:01.745495  START: 15:17:48.315245  END: 15:19:50.060740 2020-12-06
* REASONING D3,D9: 9..
* DIS # D3: 9 # I9: 6,7 => CTR => I9: 3,4,5,8
* CNT   1 HDP CHAINS /  24 HYP OPENED
* REASONING D9,F9: 9..
* DIS # F9: 9 # I9: 6,7 => CTR => I9: 3,4,5,8
* CNT   1 HDP CHAINS /  24 HYP OPENED
* REASONING E5,E6: 7..
* DIS # E6: 7 # G1: 3,4 => CTR => G1: 1,2,5
* DIS # E6: 7 + G1: 1,2,5 # G2: 3,4 => CTR => G2: 1,2,7
* CNT   2 HDP CHAINS /  39 HYP OPENED
* REASONING A8,H8: 8..
* DIS # H8: 8 # I9: 6,7 => CTR => I9: 3,4,5
* CNT   1 HDP CHAINS /  24 HYP OPENED
* REASONING A6,C6: 8..
* DIS # A6: 8 # I9: 6,7 => CTR => I9: 3,4,5
* CNT   1 HDP CHAINS /  24 HYP OPENED
* REASONING F7,F9: 8..
* DIS # F7: 8 # I9: 6,7 => CTR => I9: 3,4,5,8
* CNT   1 HDP CHAINS /  16 HYP OPENED
* DCP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
F4,E6: 5.. / F4 = 5  =>  0 pairs (_) / E6 = 5 ==>  0 pairs (X)
* DURATION: 0:00:45.609821  START: 15:19:50.239814  END: 15:20:35.849635 2020-12-06
* REASONING F4,E6: 5..
* DIS # E6: 5 # B4: 1,2 # B2: 1,2 => CTR => B2: 3,7
* DIS # E6: 5 # B4: 1,2 + B2: 3,7 # C2: 1,2 => CTR => C2: 7
* DIS # E6: 5 # B4: 1,2 + B2: 3,7 + C2: 7 => CTR => B4: 5,6,7
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 # C1: 1,2 => CTR => C1: 5
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 # C7: 1,2 => CTR => C7: 6,7,8
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 # C2: 7 => CTR => C2: 1,2
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 # B6: 7 => CTR => B6: 6,9
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 # I5: 4 => CTR => I5: 6,9
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 + I5: 6,9 # G1: 2,4 => CTR => G1: 1,3
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 + I5: 6,9 + G1: 1,3 # G2: 1,3,7 => CTR => G2: 2,4
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 + I5: 6,9 + G1: 1,3 + G2: 2,4 # E2: 1,2 => CTR => E2: 4
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 + I5: 6,9 + G1: 1,3 + G2: 2,4 + E2: 4 => CTR => C4: 5,6,7
* DIS # E6: 5 + B4: 5,6,7 + C4: 5,6,7 # D3: 3 => CTR => D3: 1,2
* DIS # E6: 5 + B4: 5,6,7 + C4: 5,6,7 + D3: 1,2 # H2: 4,9 => CTR => H2: 8
* DIS # E6: 5 + B4: 5,6,7 + C4: 5,6,7 + D3: 1,2 + H2: 8 => CTR => E6: 4,6,7
* STA E6: 4,6,7
* CNT  15 HDP CHAINS /  56 HYP OPENED
* VDCP COUNT: (1)
* CLUE FOUND

Header Info

19333;KZ1C;GP;23;11.30;11.30;10.70

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F4,E6: 5..:

* INC # E6: 5 # B4: 1,2 => UNS
* INC # E6: 5 # C4: 1,2 => UNS
* INC # E6: 5 # B5: 1,2 => UNS
* INC # E6: 5 # A3: 1,2 => UNS
* INC # E6: 5 # A7: 1,2 => UNS
* INC # E6: 5 # C6: 7,8 => UNS
* INC # E6: 5 # C6: 6 => UNS
* INC # E6: 5 # A7: 7,8 => UNS
* INC # E6: 5 # A9: 7,8 => UNS
* INC # E6: 5 # G1: 2,4 => UNS
* INC # E6: 5 # G2: 2,4 => UNS
* INC # E6: 5 # A7: 5,8 => UNS
* INC # E6: 5 # C7: 5,8 => UNS
* INC # E6: 5 # I7: 5,8 => UNS
* INC # E6: 5 # A9: 5,8 => UNS
* INC # E6: 5 # C9: 5,8 => UNS
* INC # E6: 5 # I9: 5,8 => UNS
* INC # E6: 5 => UNS
* INC # F4: 5 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for H4,G5: 2..:

* INC # H4: 2 # C1: 1,2 => UNS
* INC # H4: 2 # E1: 1,2 => UNS
* INC # H4: 2 # I1: 3,4 => UNS
* INC # H4: 2 # H2: 3,4 => UNS
* INC # H4: 2 # I2: 3,4 => UNS
* INC # H4: 2 # F1: 3,4 => UNS
* INC # H4: 2 # F1: 1,6 => UNS
* INC # H4: 2 # H6: 3,4 => UNS
* INC # H4: 2 # H8: 3,4 => UNS
* INC # H4: 2 # B2: 1,2 => UNS
* INC # H4: 2 # C2: 1,2 => UNS
* INC # H4: 2 # E2: 1,2 => UNS
* INC # H4: 2 # I5: 4,7 => UNS
* INC # H4: 2 # G6: 4,7 => UNS
* INC # H4: 2 # H6: 4,7 => UNS
* INC # H4: 2 # E5: 4,7 => UNS
* INC # H4: 2 # E5: 1,6 => UNS
* INC # H4: 2 # G9: 4,7 => UNS
* INC # H4: 2 # G9: 3,5 => UNS
* INC # H4: 2 => UNS
* INC # G5: 2 # B4: 1,7 => UNS
* INC # G5: 2 # C4: 1,7 => UNS
* INC # G5: 2 # B5: 1,7 => UNS
* INC # G5: 2 # E5: 1,7 => UNS
* INC # G5: 2 # E5: 4,6 => UNS
* INC # G5: 2 # A3: 1,7 => UNS
* INC # G5: 2 # A7: 1,7 => UNS
* INC # G5: 2 => UNS
* CNT  28 HDP CHAINS /  28 HYP OPENED

Full list of HDP chains traversed for D3,D9: 9..:

* INC # D3: 9 # F1: 1,3 => UNS
* INC # D3: 9 # F2: 1,3 => UNS
* INC # D3: 9 # A3: 1,3 => UNS
* INC # D3: 9 # B3: 1,3 => UNS
* INC # D3: 9 # I7: 6,7 => UNS
* DIS # D3: 9 # I9: 6,7 => CTR => I9: 3,4,5,8
* INC # D3: 9 + I9: 3,4,5,8 # I7: 6,7 => UNS
* INC # D3: 9 + I9: 3,4,5,8 # I7: 5 => UNS
* INC # D3: 9 + I9: 3,4,5,8 # C7: 6,7 => UNS
* INC # D3: 9 + I9: 3,4,5,8 # C7: 1,2,5 => UNS
* INC # D3: 9 + I9: 3,4,5,8 # H4: 6,7 => UNS
* INC # D3: 9 + I9: 3,4,5,8 # H6: 6,7 => UNS
* INC # D3: 9 + I9: 3,4,5,8 # F1: 1,3 => UNS
* INC # D3: 9 + I9: 3,4,5,8 # F2: 1,3 => UNS
* INC # D3: 9 + I9: 3,4,5,8 # A3: 1,3 => UNS
* INC # D3: 9 + I9: 3,4,5,8 # B3: 1,3 => UNS
* INC # D3: 9 + I9: 3,4,5,8 # I7: 6,7 => UNS
* INC # D3: 9 + I9: 3,4,5,8 # I7: 5 => UNS
* INC # D3: 9 + I9: 3,4,5,8 # C7: 6,7 => UNS
* INC # D3: 9 + I9: 3,4,5,8 # C7: 1,2,5 => UNS
* INC # D3: 9 + I9: 3,4,5,8 # H4: 6,7 => UNS
* INC # D3: 9 + I9: 3,4,5,8 # H6: 6,7 => UNS
* INC # D3: 9 + I9: 3,4,5,8 => UNS
* INC # D9: 9 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for D9,F9: 9..:

* INC # F9: 9 # F1: 1,3 => UNS
* INC # F9: 9 # F2: 1,3 => UNS
* INC # F9: 9 # A3: 1,3 => UNS
* INC # F9: 9 # B3: 1,3 => UNS
* INC # F9: 9 # I7: 6,7 => UNS
* DIS # F9: 9 # I9: 6,7 => CTR => I9: 3,4,5,8
* INC # F9: 9 + I9: 3,4,5,8 # I7: 6,7 => UNS
* INC # F9: 9 + I9: 3,4,5,8 # I7: 5 => UNS
* INC # F9: 9 + I9: 3,4,5,8 # C7: 6,7 => UNS
* INC # F9: 9 + I9: 3,4,5,8 # C7: 1,2,5 => UNS
* INC # F9: 9 + I9: 3,4,5,8 # H4: 6,7 => UNS
* INC # F9: 9 + I9: 3,4,5,8 # H6: 6,7 => UNS
* INC # F9: 9 + I9: 3,4,5,8 # F1: 1,3 => UNS
* INC # F9: 9 + I9: 3,4,5,8 # F2: 1,3 => UNS
* INC # F9: 9 + I9: 3,4,5,8 # A3: 1,3 => UNS
* INC # F9: 9 + I9: 3,4,5,8 # B3: 1,3 => UNS
* INC # F9: 9 + I9: 3,4,5,8 # I7: 6,7 => UNS
* INC # F9: 9 + I9: 3,4,5,8 # I7: 5 => UNS
* INC # F9: 9 + I9: 3,4,5,8 # C7: 6,7 => UNS
* INC # F9: 9 + I9: 3,4,5,8 # C7: 1,2,5 => UNS
* INC # F9: 9 + I9: 3,4,5,8 # H4: 6,7 => UNS
* INC # F9: 9 + I9: 3,4,5,8 # H6: 6,7 => UNS
* INC # F9: 9 + I9: 3,4,5,8 => UNS
* INC # D9: 9 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for E5,E6: 7..:

* INC # E5: 7 # B4: 1,2 => UNS
* INC # E5: 7 # C4: 1,2 => UNS
* INC # E5: 7 # B5: 1,2 => UNS
* INC # E5: 7 # A3: 1,2 => UNS
* INC # E5: 7 # A7: 1,2 => UNS
* INC # E5: 7 # G1: 2,4 => UNS
* INC # E5: 7 # G2: 2,4 => UNS
* INC # E5: 7 => UNS
* INC # E6: 7 # C6: 5,8 => UNS
* INC # E6: 7 # C6: 6 => UNS
* INC # E6: 7 # A7: 5,8 => UNS
* INC # E6: 7 # A8: 5,8 => UNS
* INC # E6: 7 # A9: 5,8 => UNS
* INC # E6: 7 # H6: 3,4 => UNS
* INC # E6: 7 # H6: 6,9 => UNS
* INC # E6: 7 # D6: 3,4 => UNS
* INC # E6: 7 # D6: 6 => UNS
* DIS # E6: 7 # G1: 3,4 => CTR => G1: 1,2,5
* DIS # E6: 7 + G1: 1,2,5 # G2: 3,4 => CTR => G2: 1,2,7
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # G8: 3,4 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # G9: 3,4 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # H6: 3,4 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # H6: 6,9 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # D6: 3,4 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # D6: 6 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # G8: 3,4 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # G9: 3,4 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # C6: 5,8 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # C6: 6 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # A7: 5,8 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # A8: 5,8 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # A9: 5,8 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # H6: 3,4 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # H6: 6,9 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # D6: 3,4 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # D6: 6 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # G8: 3,4 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 # G9: 3,4 => UNS
* INC # E6: 7 + G1: 1,2,5 + G2: 1,2,7 => UNS
* CNT  39 HDP CHAINS /  39 HYP OPENED

Full list of HDP chains traversed for G1,G2: 1..:

* INC # G2: 1 # B2: 2,7 => UNS
* INC # G2: 1 # A3: 2,7 => UNS
* INC # G2: 1 # B3: 2,7 => UNS
* INC # G2: 1 # H2: 2,7 => UNS
* INC # G2: 1 # H2: 3,4,8,9 => UNS
* INC # G2: 1 # C4: 2,7 => UNS
* INC # G2: 1 # C7: 2,7 => UNS
* INC # G2: 1 # C9: 2,7 => UNS
* INC # G2: 1 # E1: 2,4 => UNS
* INC # G2: 1 # E1: 1,6 => UNS
* INC # G2: 1 # H2: 2,4 => UNS
* INC # G2: 1 # H2: 3,7,8,9 => UNS
* INC # G2: 1 # E9: 2,4 => UNS
* INC # G2: 1 # E9: 5,6 => UNS
* INC # G2: 1 => UNS
* INC # G1: 1 # A3: 2,5 => UNS
* INC # G1: 1 # B3: 2,5 => UNS
* INC # G1: 1 # C4: 2,5 => UNS
* INC # G1: 1 # C7: 2,5 => UNS
* INC # G1: 1 # C9: 2,5 => UNS
* INC # G1: 1 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for H2,I2: 8..:

* INC # H2: 8 # B4: 5,7 => UNS
* INC # H2: 8 # C4: 5,7 => UNS
* INC # H2: 8 # B6: 5,7 => UNS
* INC # H2: 8 # E6: 5,7 => UNS
* INC # H2: 8 # E6: 4,6 => UNS
* INC # H2: 8 # A3: 5,7 => UNS
* INC # H2: 8 # A7: 5,7 => UNS
* INC # H2: 8 # A9: 5,7 => UNS
* INC # H2: 8 # I7: 6,7 => UNS
* INC # H2: 8 # I9: 6,7 => UNS
* INC # H2: 8 # C7: 6,7 => UNS
* INC # H2: 8 # C7: 1,2,5 => UNS
* INC # H2: 8 # H4: 6,7 => UNS
* INC # H2: 8 # H6: 6,7 => UNS
* INC # H2: 8 => UNS
* INC # I2: 8 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for A8,H8: 8..:

* INC # A8: 8 # B4: 5,7 => UNS
* INC # A8: 8 # C4: 5,7 => UNS
* INC # A8: 8 # B6: 5,7 => UNS
* INC # A8: 8 # E6: 5,7 => UNS
* INC # A8: 8 # E6: 4,6 => UNS
* INC # A8: 8 # A3: 5,7 => UNS
* INC # A8: 8 # A7: 5,7 => UNS
* INC # A8: 8 # A9: 5,7 => UNS
* INC # A8: 8 => UNS
* INC # H8: 8 # I7: 6,7 => UNS
* DIS # H8: 8 # I9: 6,7 => CTR => I9: 3,4,5
* INC # H8: 8 + I9: 3,4,5 # I7: 6,7 => UNS
* INC # H8: 8 + I9: 3,4,5 # I7: 5 => UNS
* INC # H8: 8 + I9: 3,4,5 # H4: 6,7 => UNS
* INC # H8: 8 + I9: 3,4,5 # H6: 6,7 => UNS
* INC # H8: 8 + I9: 3,4,5 # A7: 1,2 => UNS
* INC # H8: 8 + I9: 3,4,5 # C7: 1,2 => UNS
* INC # H8: 8 + I9: 3,4,5 # D3: 1,2 => UNS
* INC # H8: 8 + I9: 3,4,5 # D3: 3,9 => UNS
* INC # H8: 8 + I9: 3,4,5 # I7: 6,7 => UNS
* INC # H8: 8 + I9: 3,4,5 # I7: 5 => UNS
* INC # H8: 8 + I9: 3,4,5 # H4: 6,7 => UNS
* INC # H8: 8 + I9: 3,4,5 # H6: 6,7 => UNS
* INC # H8: 8 + I9: 3,4,5 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for A6,C6: 8..:

* INC # A6: 8 # I7: 6,7 => UNS
* DIS # A6: 8 # I9: 6,7 => CTR => I9: 3,4,5
* INC # A6: 8 + I9: 3,4,5 # I7: 6,7 => UNS
* INC # A6: 8 + I9: 3,4,5 # I7: 5 => UNS
* INC # A6: 8 + I9: 3,4,5 # H4: 6,7 => UNS
* INC # A6: 8 + I9: 3,4,5 # H6: 6,7 => UNS
* INC # A6: 8 + I9: 3,4,5 # A7: 1,2 => UNS
* INC # A6: 8 + I9: 3,4,5 # C7: 1,2 => UNS
* INC # A6: 8 + I9: 3,4,5 # D3: 1,2 => UNS
* INC # A6: 8 + I9: 3,4,5 # D3: 3,9 => UNS
* INC # A6: 8 + I9: 3,4,5 # I7: 6,7 => UNS
* INC # A6: 8 + I9: 3,4,5 # I7: 5 => UNS
* INC # A6: 8 + I9: 3,4,5 # H4: 6,7 => UNS
* INC # A6: 8 + I9: 3,4,5 # H6: 6,7 => UNS
* INC # A6: 8 + I9: 3,4,5 => UNS
* INC # C6: 8 # B4: 5,7 => UNS
* INC # C6: 8 # C4: 5,7 => UNS
* INC # C6: 8 # B6: 5,7 => UNS
* INC # C6: 8 # E6: 5,7 => UNS
* INC # C6: 8 # E6: 4,6 => UNS
* INC # C6: 8 # A3: 5,7 => UNS
* INC # C6: 8 # A7: 5,7 => UNS
* INC # C6: 8 # A9: 5,7 => UNS
* INC # C6: 8 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for F7,F9: 8..:

* INC # F7: 8 # I7: 6,7 => UNS
* DIS # F7: 8 # I9: 6,7 => CTR => I9: 3,4,5,8
* INC # F7: 8 + I9: 3,4,5,8 # I7: 6,7 => UNS
* INC # F7: 8 + I9: 3,4,5,8 # I7: 5 => UNS
* INC # F7: 8 + I9: 3,4,5,8 # C7: 6,7 => UNS
* INC # F7: 8 + I9: 3,4,5,8 # C7: 1,2,5 => UNS
* INC # F7: 8 + I9: 3,4,5,8 # H4: 6,7 => UNS
* INC # F7: 8 + I9: 3,4,5,8 # H6: 6,7 => UNS
* INC # F7: 8 + I9: 3,4,5,8 # I7: 6,7 => UNS
* INC # F7: 8 + I9: 3,4,5,8 # I7: 5 => UNS
* INC # F7: 8 + I9: 3,4,5,8 # C7: 6,7 => UNS
* INC # F7: 8 + I9: 3,4,5,8 # C7: 1,2,5 => UNS
* INC # F7: 8 + I9: 3,4,5,8 # H4: 6,7 => UNS
* INC # F7: 8 + I9: 3,4,5,8 # H6: 6,7 => UNS
* INC # F7: 8 + I9: 3,4,5,8 => UNS
* INC # F9: 8 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for E1,F1: 6..:

* INC # F1: 6 # E5: 1,4 => UNS
* INC # F1: 6 # E5: 6,7 => UNS
* INC # F1: 6 # F2: 1,4 => UNS
* INC # F1: 6 # F2: 3,9 => UNS
* INC # F1: 6 => UNS
* INC # E1: 6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for B6,H6: 9..:

* INC # B6: 9 => UNS
* INC # H6: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B5,I5: 9..:

* INC # B5: 9 => UNS
* INC # I5: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for I5,H6: 9..:

* INC # I5: 9 => UNS
* INC # H6: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B5,B6: 9..:

* INC # B5: 9 => UNS
* INC # B6: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for F4,E6: 5..:

* INC # E6: 5 # B4: 1,2 => UNS
* INC # E6: 5 # C4: 1,2 => UNS
* INC # E6: 5 # B5: 1,2 => UNS
* INC # E6: 5 # A3: 1,2 => UNS
* INC # E6: 5 # A7: 1,2 => UNS
* INC # E6: 5 # C6: 7,8 => UNS
* INC # E6: 5 # C6: 6 => UNS
* INC # E6: 5 # A7: 7,8 => UNS
* INC # E6: 5 # A9: 7,8 => UNS
* INC # E6: 5 # G1: 2,4 => UNS
* INC # E6: 5 # G2: 2,4 => UNS
* INC # E6: 5 # A7: 5,8 => UNS
* INC # E6: 5 # C7: 5,8 => UNS
* INC # E6: 5 # I7: 5,8 => UNS
* INC # E6: 5 # A9: 5,8 => UNS
* INC # E6: 5 # C9: 5,8 => UNS
* INC # E6: 5 # I9: 5,8 => UNS
* DIS # E6: 5 # B4: 1,2 # B2: 1,2 => CTR => B2: 3,7
* DIS # E6: 5 # B4: 1,2 + B2: 3,7 # C2: 1,2 => CTR => C2: 7
* DIS # E6: 5 # B4: 1,2 + B2: 3,7 + C2: 7 => CTR => B4: 5,6,7
* INC # E6: 5 + B4: 5,6,7 # C4: 1,2 => UNS
* INC # E6: 5 + B4: 5,6,7 # B5: 1,2 => UNS
* INC # E6: 5 + B4: 5,6,7 # A3: 1,2 => UNS
* INC # E6: 5 + B4: 5,6,7 # A7: 1,2 => UNS
* INC # E6: 5 + B4: 5,6,7 # C6: 7,8 => UNS
* INC # E6: 5 + B4: 5,6,7 # C6: 6 => UNS
* INC # E6: 5 + B4: 5,6,7 # A7: 7,8 => UNS
* INC # E6: 5 + B4: 5,6,7 # A9: 7,8 => UNS
* INC # E6: 5 + B4: 5,6,7 # G1: 2,4 => UNS
* INC # E6: 5 + B4: 5,6,7 # G2: 2,4 => UNS
* INC # E6: 5 + B4: 5,6,7 # A7: 5,8 => UNS
* INC # E6: 5 + B4: 5,6,7 # C7: 5,8 => UNS
* INC # E6: 5 + B4: 5,6,7 # I7: 5,8 => UNS
* INC # E6: 5 + B4: 5,6,7 # A9: 5,8 => UNS
* INC # E6: 5 + B4: 5,6,7 # C9: 5,8 => UNS
* INC # E6: 5 + B4: 5,6,7 # I9: 5,8 => UNS
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 # C1: 1,2 => CTR => C1: 5
* INC # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 # C2: 1,2 => UNS
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 # C7: 1,2 => CTR => C7: 6,7,8
* INC # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 # C2: 1,2 => UNS
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 # C2: 7 => CTR => C2: 1,2
* INC # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 # B6: 6,9 => UNS
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 # B6: 7 => CTR => B6: 6,9
* INC # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 # I5: 6,9 => UNS
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 # I5: 4 => CTR => I5: 6,9
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 + I5: 6,9 # G1: 2,4 => CTR => G1: 1,3
* INC # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 + I5: 6,9 + G1: 1,3 # G2: 2,4 => UNS
* INC # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 + I5: 6,9 + G1: 1,3 # G2: 2,4 => UNS
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 + I5: 6,9 + G1: 1,3 # G2: 1,3,7 => CTR => G2: 2,4
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 + I5: 6,9 + G1: 1,3 + G2: 2,4 # E2: 1,2 => CTR => E2: 4
* DIS # E6: 5 + B4: 5,6,7 # C4: 1,2 + C1: 5 + C7: 6,7,8 + C2: 1,2 + B6: 6,9 + I5: 6,9 + G1: 1,3 + G2: 2,4 + E2: 4 => CTR => C4: 5,6,7
* INC # E6: 5 + B4: 5,6,7 + C4: 5,6,7 # D3: 1,2 => UNS
* DIS # E6: 5 + B4: 5,6,7 + C4: 5,6,7 # D3: 3 => CTR => D3: 1,2
* DIS # E6: 5 + B4: 5,6,7 + C4: 5,6,7 + D3: 1,2 # H2: 4,9 => CTR => H2: 8
* DIS # E6: 5 + B4: 5,6,7 + C4: 5,6,7 + D3: 1,2 + H2: 8 => CTR => E6: 4,6,7
* INC E6: 4,6,7 # F4: 5 => UNS
* STA E6: 4,6,7
* CNT  56 HDP CHAINS /  56 HYP OPENED